System and apparatus for determining the center of gravity of an aircraft

[0002] This is a continuation-in-part of application Ser. No. 09/243,392, filed Feb. 1, 1999, now U.S. Pat. No. 6,353,793.

[0003] The present invention relates to a system and method for determining the center of gravity of a loaded aircraft in a simple manner.

[0004] The location of the center of gravity of a loaded aircraft is a critical factor in determining whether the aircraft is safe for flight. Determining the location of the center of gravity (CG) is particularly important for cargo transport aircraft. This is because the loads carried by such aircraft may vary significantly from flight to flight in terms of load weight distribution. The CG for a given aircraft must be maintained within a certain range for a given load as specified by the aircraft manufacturer and/or the Federal Aviation Administration. One method for determining CG manually would be to determine the weight at a series of points along the aircraft's length to calculate the moment developed about a given reference line. These moments are then summed and divided by the total weight of the aircraft and the load to determine the point at which the plane is balanced. This point is the aircraft CG. Aircraft CG is sometimes expressed in terms of percentage mean aerodynamic chord (% MAC).

[0005] Because this method, if done manually, would be tedious, time consuming, and expensive, a variety of systems and devices have been devised to determine aircraft CG. Many of these systems use strain gauges mounted in the oleo struts that support the aircraft. The amount of strain in the struts can be related to the force on the struts and therefore aircraft weight. Data concerning the weight at each of the aircraft wheels can be related to aircraft center gravity. Other systems have relied on pressure transducers in fluid communication with landing gear hydraulic systems. One of these requires a separate pump to cycle each oleo strut between a near fully extended position and a near fully retracted position while recording a series of pressure measurements. The pressure measurements are then related to weight on the strut.

[0006] These systems have not been without their problems, however. As these struts age due to the wear and tear of daily use, the strain gauge or pressure readings may become unreliable. This stems from friction in the landing gear struts and hydraulic system leaks. Moreover, the strain gauge systems may suffer from a high noise to signal ratio in the information provided by the strain gauges.

[0007] There remains a need then for a simple, low cost system for determining aircraft CG. The system should minimize the need for costly electronic components that must stand up to the environmental rigors to which aircraft landing gear are subjected. Desirably, such a system should be separable from the aircraft, should not require any type of expensive hydraulic system interface and should be simple to operate.

[0008] The present invention relates to a method, system and apparatus for determining the center of gravity of an aircraft, particularly, smaller aircraft not otherwise provided with equipment for such determination. By determining the vertical load on a known point on the longitudinal axis of the aircraft between the landing gear and either front or rear end of the aircraft (preferably the nose wheel in a tricycle wheel arrangement) necessary to maintain equilibrium, aircraft CG is determined. To determine the load (1) the nose wheel may be positioned on a load cell imbedded in the ground surface, (2) the nose wheel may be placed on a portable surface in which the load cell is mounted, or (3) there may be provided a simple apparatus for lifting the nose or tail from the ground (such as a lever, jack, or other device) and measuring the reactive load thus generated. By summing the moments about the reactive load point and then about the lever fulcrum, the nose wheel load can be related to aircraft CG. This process must take into account aircraft inclination to provide accurate results. An inclinometer mounted on or attached to the aircraft, provides the aircraft inclination.

[0009] The invention further relates to a method for determining the longitudinal center of gravity of an aircraft having a plurality of landing gear wheels. The method includes the steps of determining aircraft basic operating weight (empty weight plus crew and equipment) total aircraft weight, which is the basic operating weight (empty weight+crew+equipment), fuel load, and payload weight. The load at a selected point along the aircraft longitudinal axis so as to maintain equilibrium is then determined, while simultaneously determining the inclination of the aircraft. This load is then related to the aircraft total weight so as to determine the longitudinal position of the aircraft center of gravity.

[0010] Assuming the aircraft is substantially level and includes a nose wheel and a laterally spaced apart main landing gear, the load on the nose wheel can be related to the aircraft center of gravity location according to the relationship:

[0011] L_m=L/(1+(P_m/P_n))

[0012] where

[0013] L equals the horizontal distance between the nose wheel and the main landing gear;

[0014] L_mequals the horizontal distance between the center of gravity and the main landing gear;

[0015] P_mequals the load on the main landing gear; and

[0016] P_nequals the load on the nose wheel.

[0017] However, CG determination must oftentimes be made when an aircraft is not level, but inclined slightly where the aircraft is inclined at an angle of inclination and includes a nose wheel and a laterally spaced apart main landing gear, the load on the nose wheel can be related to the aircraft center of gravity location according to the relationship: $\begin{array}{cc}{L}_m=\frac{P_{n}L}{\left(\mathrm{WT}\right){\cos }^2\theta }+L_{\mathrm{zm}}\tan \theta & \end{array}$

[0018] where

[0019] WT equals total aircraft weight;

[0020] P_nequals aircraft nose wheel load;

[0021] θ equals aircraft inclination;

[0022] L equals the horizontal distance between center of nose wheel and landing gear;

[0023] L_zmequals the vertical position of CG above the main landing gear wheel axle; and

[0024] L_mequals the horizontal distance between CG and main landing gear.

[0025] The invention further relates to a method for determining the longitudinal center of gravity of an aircraft having a nose wheel and laterally spaced apart main landing gear wheels including measuring the aircraft inclination; determining total aircraft weight; measuring the horizontal distance between the center of the nose wheel and the main landing gear wheels; measuring the load on the nose wheel; determining the angle of inclination of the aircraft at the time the load is measured and relating the nose wheel load to aircraft center of gravity according to the relationship described above.

[0026] The aircraft nose wheel load may be measured by placing the nose wheel on a load cell imbedded in the ground or on a portable platform in which the load cell is mounted. The inclination of the airplane can be measured by an inclinometer in the airplane or attached thereto, or otherwise.

[0027] In another embodiment the system includes a lever apparatus for determining the load on one of the plurality of aircraft wheels including:

[0028] i. a frame having a forward end and an aft end, and adapted for detachable engagement with one of the plurality of aircraft wheels;

[0029] ii. a fulcrum point about which the lever apparatus raises the aircraft wheel;

[0030] iii. a load cell mounted on the frame and adapted to generate a signal indicative of the reactive force generated on the frame as the wheel is raised.

[0031] Each system further includes a processor for receiving flight data and the load cell signal, determining wheel load, determining aircraft inclination, and relating wheel load, aircraft inclination and flight data to aircraft center of gravity.

[0032] The present invention further relates to an apparatus for determining the load on an aircraft wheel having a wheel axle including a lever apparatus having a forward end and an aft end, the aft end adapted for detachable engagement with an aircraft wheel axle. The lever apparatus in includes a fulcrum point spaced laterally apart from the wheel axle. A load cell is mounted on the frame so as to generate a signal indicative of the reactive force generated on the frame at a point between the forward end and the aft end as the wheel is raised responsive to a force applied to the forward end. The apparatus further includes a wheel load processor for receiving the load cell signal and determining aircraft wheel load.

[0033] In an alternative embodiment, the apparatus may further include a pivot arm having a first end and a second end, the first end pivotally attached to the lever apparatus at a pivot point located between the forward end and the aft end of the apparatus. The apparatus and the pivot arm thus define a lever for raising the wheel so that the load cell is engaged by the pivot arm.

[0034] One aspect of the present invention is to provide a technique for determining aircraft CG that may be operated by one person and that may be stowed on an aircraft when not in use.

[0035] Another aspect of the present invention is the to provide a technique for determining aircraft CG that eliminates the need for multiple, landing gear-mounted load cells.

[0036] Still another aspect of the present invention is to provide a method for determining aircraft CG that accounts for aircraft inclination.

[0037] A further aspect of the present invention is the provision of a tow bar that may also serve duty as a lever apparatus for determining aircraft CG.

[0038] These and other aspects of the present invention will become apparent to those skilled in the art after a reading of the following description of the preferred embodiments when considered in conjunction with the drawings.

[0039] FIG. 1 is a free body diagram for a level aircraft;

[0040] FIG. 2 is a force diagram illustrating the dimensions that must be taken into account for determining aircraft CG for an inclined aircraft;

[0041] FIG. 3 is a schematic representation of one embodiment of the present invention;

[0042] FIG. 4 is a rear perspective view of the lever apparatus used with another embodiment of the present invention;

[0043] FIG. 5 is a side view of the lever apparatus illustrated in FIG. 4 attached to an aircraft nose wheel prior to the aircraft wheel being raised from the ground to determine aircraft center of gravity;

[0044] FIG. 6 is a sectional view taken along 6—6 in FIG. 5 showing the position of the bridge that joins first and second frame sections and provides a mounting point for the load cell;

[0045] FIG. 7 is a schematic representation of aircraft CG being determined using a jack point located aft of the nose wheel.

[0046] FIG. 8 is a side view of the lever apparatus illustrated in FIG. 5 after the aircraft wheels have been raised from the ground by applying a downward force to pivot arm and the lever apparatus frame is in a level position for determining aircraft center of gravity;

[0047] FIG. 9 is a flow chart that illustrates the method and data flow for determining aircraft CG using the system and apparatus of the present invention;

[0048] FIG. 10 is a partial elevational view of an alternative embodiment of a single leg for use with the lever apparatus;

[0049] FIG. 11 is a perspective view of an alternative embodiment of the lever apparatus of the present invention; and

[0050] FIG. 12 is a partial sectional view of the load cell mounting on the alternative embodiment depicted in FIG. 11.

[0051] In the preferred embodiment of the present invention illustrated in FIGS. 1-3 and 9, like reference characters designate like or corresponding parts throughout the several views. The present invention will be described by first discussing the mathematical basis for determining longitudinal aircraft CG based primarily on the load measure on a selected point on the aircraft, preferably an aircraft wheel, and particularly a nose wheel. Next, a preferred embodiment for determining the load on an aircraft nose wheel and method for converting that information into aircraft CG location will be described.

[0052] Center of Gravity Analysis

[0053] The present invention is particularly suited for use with small cargo aircraft such as the Cessna 208B. However, the present invention may be used with other types of aircraft of a wide variety of sizes. With suitable component selection, the present invention also may be used with much larger aircraft.

[0054] Turning now to FIG. 1, there is illustrated schematically a level aircraft 50. For a typical small cargo aircraft, the landing gear is arranged in a tricycle arrangement. The term “tricycle” refers to an aircraft of the type having a landing gear arrangement including a pair of transversely spaced apart main landing gear units 70 and a third ground support member that may be a nose wheel 60. The third ground support member typically is located substantially on the longitudinal axis of the aircraft forward or aft of the main landing gear units 70. If the third ground support member is located aft of the main landing gear 70, then it may comprise a strut.

[0055] Nose wheel 60 rotates about a horizontal axle 62. Because a side view of the aircraft is shown in FIG. 1, only one of the sets of wheels making up main landing gear 70 is visible. Typically the main landing gear 70 includes multiple wheels or sets of wheels positioned on either side of the aircraft longitudinal centerline.

[0056] The aircraft 50 may also include an inclinometer 64 for measuring aircraft inclination and generating a signal indicative of that inclination. The inclinometer 64 may be positioned permanently or temporarily at any convenient point on the aircraft 50. The inclinometer 64 may also include an electrical lead for providing the signal directly to a hand held device containing a display or directly to a microprocessor for determination of aircraft CG as discussed below. A suitable inclinometer for the practice of the present invention is the dual axis tilt monitor SSY0018 available from Spectron Systems Technology, Inc. of Hauppauge, N.Y.

[0057] FIGS. 1, 2 and 7 are free body diagrams illustrating the forces acting on a level aircraft that is at rest on the ground. The diagrams show that if certain aircraft and load parameters are known, then aircraft CG can be determined by measuring the load on the aircraft. Although any point on the aircraft may be used to do so, desirably a point that is laterally spaced from the main landing gear 70, 86 is used. A particularly preferred weighing point is the aircraft nose wheel 60 as described in the following analysis.

[0058] The following legend is applicable to this analysis:

[0059] WT: total aircraft weight.

[0060] P_n: aircraft nose wheel weight

[0061] P_m: aircraft main landing gear weight

[0062] L: horizontal distance between center of nose wheel and landing gear.

[0063] L_n: horizontal distance between CG and nose wheel.

[0064] L_m: horizontal distance between CG and main landing gear.

[0065] Total aircraft weight, WT, equals the sum of the load on the main landing gear P_mand the load on the nose wheel, P_n. Also, the total distance between the nose wheel 60 and the main landing gear 70, L, is the sum of L_mand L_n. Thus, L_n=L−L_m. It follows that the moments about the aircraft CG can be summed as follows:

[0066] ΣM_CG=0

[0067] P_mL_m=P_nL_n

[0068] This moment summation equation can be solved for the location of CG relative the main landing gear as follows: $\begin{array}{c}{L}_m=\frac{P_n}{P_m}\left(L-L_m\right)\\ \frac{P_m}{P_n}=\frac{L}{L_m}-1\\ L_m=\frac{L}{1+\frac{P_m}{P_n}}\end{array}$

[0069] This equation will be referred to as the “level CG equation.” It will be readily appreciated that P_mcan be determined using known information according to the relationship:

[0070] P_m=WT−P_n

[0071] FIGS. 4-8 and 10-12 illustrate an alternative approach for this analysis wherein the weight on an aircraft “jack point” (FIG. 7) is used as the longitudinally spaced apart point. In this approach the lever apparatus of FIGS. 4,-6, 8 and 10-12 are used. A “jack point” is understood in the art to mean a structurally reinforced point on an aircraft frame intended for use to raise the aircraft from the ground for maintenance purposes. For a small cargo aircraft of the type discussed above typically about 3 jack points are provided. In free body diagram of FIG. 7, the jack point 82 is located just aft of the nose wheel 84 and forward of the main landing gear 86. Desirably the jack point 82 is positioned on the longitudinal centerline of the aircraft 80. Nevertheless, the practice of the present invention includes using points removed a short lateral distance therefrom.

[0072] It will be readily appreciated that the specified dimensions in FIG. 7 correspond closely to those in FIG. 1. Notably, the following legend applies to FIG. 7:

[0073] WT: total aircraft weight.

[0074] P_n: aircraft nose wheel weight

[0075] P_m: aircraft main landing gear weight

[0076] L′: horizontal distance between the jack point and the main landing gear

[0077] L_n′: horizontal distance between CG and the jack point

[0078] L_m′: horizontal distance between CG and main landing gear

[0079] The analysis above assumes that the aircraft is level. In other words, the analysis assumes that the aircraft longitudinal axis is parallel to the ground. In actual practice, this condition is rarely the case. While steps could be taken to level the aircraft, they require additional time and resources. Therefore, it is desirable to perform the analysis described above for an inclined aircraft.

[0080] FIG. 2 illustrates a force diagram 53 representative of an aircraft with a nose-up inclination angle θ. The following symbology is used in FIG. 2:

[0081] L: the longitudinal distance between the nose wheel 60 and the wheels in the main landing gear 70 measured along the angle of inclination.

[0082] L′: the longitudinal distance between the nose wheel 60 and the wheels in the main landing gear 70 measured along the ground.

[0083] L_zm: the vertical position of CG above the main landing gear wheel axle for the aircraft in a level position.

[0084] L_m′: the horizontal distance between CG and the main landing gear wheel axle.

[0085] L_n′: the horizontal distance between CG and the nose wheel axle.

[0086] It should be understood that typically the value for L_zmwill be known for this analysis. It has been found that an estimated value for this parameter can be used with good results. An assumed value for the vertical position of CG above the main landing gear wheel axle would be hard coded in a software embodiment of the present invention.

[0087] The calculation for an inclined aircraft is a two step process involving first determining the position of CG with respect to the main landing gear in a horizontal plane (L_m′) and then determining the position of CG in the aircraft's longitudinal axis. In the first step, the moments about CG are summed as follows: $\begin{array}{cc}\sum M_{\mathrm{CG}}=0P_n{L}_n^{\prime }=P_m{L}_m^{\prime }.& \left(1\right)\end{array}$

[0088] Next the quantity L′ is determined by: $L^{\prime }=\frac{L}{\cos \theta }.$

[0089] The simple summation:

[0090] L′=L_n′+L_m′

[0091] leads to the solving of equation (1) for L_m′ as follows: $P_n\left(L^{\prime }-L_m^{\prime }\right)=P_m{L}_m^{\prime }$ $P_n\left(\frac{L}{\cos \theta }-L_m^{\prime }\right)=P_m{L}_m^{\prime }$ $\frac{P_{n}L}{\cos \theta }-P_n{L}_m^{\prime }=P_m{L}_m^{\prime }$ $L_m^{\prime }=\frac{P_{n}L}{\left(P_n+P_m\right)\cos \theta }=\frac{P_{n}L}{\left(\mathrm{WT}\right)\cos \theta }$

[0092] In the second step, the distance L_min the aircraft's coordinate system is determined using the relationship above for L_m′ and the dimensions shown in FIG. 2 as follows: $L_m=L_m^{″}+\Delta L_m$ $L_m^{″}=\frac{L_m^{\prime }}{\cos \theta }$ $\Delta L_m=L_{\mathrm{zm}}\tan \theta$ $L_m=\frac{L_m^{\prime }}{\cos \theta }+L_{\mathrm{zm}}\tan \theta$

[0093] Substituting for L_m′ gives: $\begin{array}{cc}{L}_m=\frac{P_{n}L}{\left(\mathrm{WT}\right){\cos }^2\theta }+L_{\mathrm{zm}}\tan \theta & \end{array}$

[0094] This equation, which will be referred to as the “inclined CG equation,” relates to the position of aircraft CG along the aircraft's longitudinal axis relative to the main landing gear location based upon the known quantities of aircraft weight, measured nose wheel load, distance between the nose wheel and main landing gear, vertical CG position, and the inclination angle of the aircraft.

[0095] It will be readily appreciated by one of ordinary skill that the form of both the level CG equation and the inclined CG equation will not change if the value of P_nand associated horizontal dimension L are measured with reference to a jack point 82 between the nose wheel 84 and the main landing gear 86 or to any point between the front of the aircraft 80 and the main landing gear 86. Further it will be appreciated that the present invention may be practiced by determining the load at any point along the longitudinal axis of the aircraft. This point need not lie exactly on that axis and, in fact, it is presumed that the typical force measuring point may be a few inches away from the longitudinal axis.

[0096] Referring to FIGS. 1 and 7, the practice of the present invention in another embodiment may include raising one of the aircraft wheels 60, 70 indirectly. For aircraft having a tricycle landing gear arrangement, a downward force may be applied at a point on the aircraft on the opposite side of the main landing gear 70 away from the nose wheel 60. This downward force 90 could be applied at a convenient point such as a jack point and increased steadily until the nose wheel 60 was raised from the ground. The amount of force required to do so would be measured and related to the location of aircraft center of gravity 52. It will be readily appreciated that the horizontal distance between the point at which the force 90 is applied and the main landing gear may be measured readily. Similar moment summing calculations would be carried out as described above to relate the downward force required to raise the nose wheel 60 to the location of aircraft CG.

[0097] It will be readily appreciated that in the broadest sense of the invention, an upward or downward force or load may be determined at any suitable point along the longitudinal axis of the aircraft 50. The quantity and lateral spacing of this force from the summation techniques as described herein above.

[0098] Determination of Load and Inclination

[0099] The analysis described above for determining aircraft CG relies upon knowing the load or weight at some point on the aircraft. Desirably that point lies between the front of the aircraft and the main landing gear with the nose wheel or a jack point being a preferred point for doing so. Alternatively, the present invention may be used with a tail wheel or tail strut landing gear arrangement having a single wheel or strut positioned towards the rear of the aircraft. The term “nose wheel” as used herein is defined to include a single wheel or strut positioned in either the forward or the aft end of the aircraft.

[0100] Turning now to a discussion of how the load and inclination are determined, one example is illustrated in FIG. 3. A weighing mechanism or load cell 65 is emplaced or embedded in the ground or tarmac at a convenient location. A suitable load cell for this purpose is Model 1040 Class E, available from Tedea Huntleigh of Los Angles, Calif. Alternatively, the weighing mechanism could be attached or mounted on a portable platform onto which the nose wheel is rolled or positioned. An inclinometer 64 is illustrated as being mounted on the aircraft. This mounting may be permanent or releasable. Also, the inclinometer does not necessarily have to be physically attached to the plane, so long as it can operatively be used to determine the inclination of the aircraft. A suitable inclinometer is the dual tilt monitor SSY0018 available from Spectron Systems Technology, Inc. of Hauppauge, N.Y. A processor 66 receives signals from both the load cell and the inclinometer and processes them as illustrated in FIG. 9 and explained hereinafter.

[0101] Nose Wheel Lever Apparatus

[0102] Alternatively, a suitable lever apparatus 10 for determining nose wheel load is shown in FIGS. 4 and 5. The apparatus 10 relies on a simple principle of a lever aid fulcrum and is a Y-shaped or U-shaped device designed to engage and lift the nose wheel from the ground as will be described in more detail below.

[0103] Apparatus 10 includes pivot arm 12 having a first end and a second end. The pivot arm 12 is pivotally connected at its first end to frame 14 by pin 12b. Pin 12btherefore defines a pivot point. A handle 22 is provided at the second end of lever 12 to facilitate the use of apparatus 10 as a tow bar and to maneuver the apparatus into position for attachment to the nose wheel 60. Between the first and second ends of pivot arm 12 pin 12aholds pivot arm 12 in a stowed position away from contact with load cell 30 (FIG. 6) when apparatus 10 is not being used to determine aircraft CG. Normally pin 12ais removed only when aircraft CG is to be determined or to provide access to load cell 30.

[0104] Frame 14 has a forward end located away from the aircraft and an aft end located adjacent the aircraft wheel. The components of frame 14 include first section 14a, second section 14b, and tie members 14c, 14ethat tie the sections together. Frame sections 14a, 14bform a Y-shaped or U-shaped yoke for detachable engagement with the aircraft nose wheel 60 at the wheel axle 62. Each frame section is also joined by bridge 14dlocated near the forward end of frame. Holes 20 are provided near the aft end of each section to accept pins (not shown) for attaching apparatus 10 to nose wheel axle 62. Legs 16 extend downwardly from frame sections 14a, 14bnear the aft end of frame to provide a fulcrum at rollers 21 for raising nose wheel 60. The leg to frame connection may be supported by gusset 18 or, as is shown in FIG. 5, strut 19. Different arrangements of such support members may be used depending on the size of aircraft to be serviced. Legs 16 may be detachably secured to frame 14 so as to require less stowage space on an aircraft.

[0105] The length of each leg must be greater than the vertical height H (FIGS. 5 and 8) measured from the nose wheel axle 62 to the ground in order to provide a fulcrum. Desirably, legs 16 may be constructed so that their length is adjustable to accommodate nose wheels 60 of various sizes. In a preferred embodiment, legs 16 are positioned forward of nose wheel axle 62 at a distance of between about 6 in. and about 8 in so that the lever apparatus fulcrum is located forward of the wheel axle. Other dimensions may be used depending on the size of the aircraft. As shown in FIG. 4, the length of legs 16 causes lever apparatus 10 to have a slightly upward inclination when initially attached to nose wheel axle 62. Each leg 16 may be provided with roller 21 so that the apparatus may be used with an aircraft that is chocked. Prudent safety practices and FAA regulations require that an aircraft's wheels be chocked during loading and determination of CG. It will be readily appreciated that if rollers 21 are not provided, as a downward force 202 is exerted on lever apparatus 10 near handle 22, the aircraft would tend to be pulled forward because legs 16 are positioned forward of wheel axle 62. The provision of some type of roller is not essential to the practice of the present invention. Nevertheless, a roller device facilitates use of the lever apparatus with aircraft having chocked wheels.

[0106] While the apparatus illustrated in FIGS. 4 and 5 and described hereinabove attaches to the nose wheel for lifting purposes, it should be appreciated that attachment to the nose wheel is only one approach. Some planes are provided with jack points, and the lever apparatus could be provided with some type of fitting that connects to such a jack point. It is only necessary to the invention that there be a connector of some kind for securely attaching the aft end of the lever to the aircraft to lift the third ground engaging member (wheels 60 in FIG. 5).

[0107] FIG. 6 is a sectional view taken along 6-6 in FIG. 8 and illustrates the manner in which bridge 14djoins frame sections 14a, 14bjust below pin 12a. The lower edge of bridge 14dextends below the lower edge of frame sections 14a, 14bso as to form a slot for receiving pivot arm 12. Load cell 30 is mounted on bridge so as to be positioned directly below lever 12. A suitable load cell for the practice of the present invention, a Model 1040 Class E, is available from Tedea Huntleigh. This is a low profile, off-center load cell that produces an output voltage signal that varies with the amount of force exerted on the cell. Other load cells having different measurement ranges may be substituted depending on the size of the aircraft and the signal processing preferences.

[0108] An alternative lever apparatus 100 is illustrated in FIG. 11. The lever apparatus 100 has a generally Y-shaped configuration and includes a lever member 102 having two angular sections 102a, 102b. These sections include openings 120 for receiving a pin for engagement with an aircraft nose wheel. Legs 116 extend downwardly from angular sections 102a, 102band are equipped with rollers 121 which function as described hereinabove. Lever member 102 further includes a front arm 112 which is operatively connected to a load cell 114 which is secured to lever member 102. A handle 122 is secured to front arm 112 to provide a point for applying a downward force on lever apparatus 100 so as to raise one of the aircraft wheels from the ground.

[0109] Turning now to FIG. 12, the lever member 102 may be comprised of a rigid tube in which is secured the load cell 114 with bolts 115. Front arm 112 is secured to the load cell housing so that the three items form a continuous lever for the purposes of the present invention. It will be readily appreciated that when a downward force is applied to the end of the lever apparatus 100, the load cell 114 will measure the reactive load on the lever apparatus 100. Using the analysis describe above, the reactive load at this point may be related to the load on the aircraft wheel that has been raised from the ground.

[0110] The load cell arrangement used in a particular lever apparatus 100 is not limited to the embodiments described above. As will be readily appreciated by one of ordinary skill, various other structural arrangements for mounting a load cell or some other type of load measuring device may be used in the practice of the present invention. That is, the load cell is mounted on the frame so as to generate a signal indicative of the reactive force generated on the frame at a point between the forward end and the aft end as one of the aircraft wheels is raised.

[0111] In another approach lever apparatus arrangement (not shown), the lever fulcrum point is located aft of the nose wheel axle. The downwardly extending legs 16 would be attached to frame sections 14a, 14bat a point aft of the axle so that, when an upwardly directed force is exerted on the end of the lever apparatus, the wheel would be raised from the ground. Measurement of a reactive load in the lever apparatus, and conversion of that information into wheel load information, would be carried out substantially as described above with appropriate adjustments for the location of the fulcrum point. These calculations are within the ability of one of ordinary skill.

[0112] FIG. 8 illustrates the use of the lever apparatus 10 to determine nose wheel load. A downward force R has been applied to the second end of pivot arm 12 so as to push the pivot arm downward to engage load cell 30 and to raise nose wheel 60. Pivot arm 12 is cantilevered from pivot pin 12bas it is subjected to downward force R. This force is continued until the aircraft nose wheel 60 has been raised completely from the ground and the frame 14 is level. A well-known bubble-type level may be provided atop frame 14 to indicate that frame is in a level condition. It will be readily appreciated that wheels 21 will travel in the direction of arrow A as nose wheel 60 is raised from the ground 100. The location of the fulcrum point about which lever apparatus 10 operates is indicated by arrow 204. Load cell 30 generates a signal proportional to the load created by pivot arm 12 at a point approximately below pin 12a.

[0113] It should be understood that although lever apparatus 10 has been described as being comprised of pivot arm 12 and frame 14, while in use these components act as a single continuous lever operating about fulcrum point 204.

[0114] The load diagram elements in FIG. 7 illustrate the analysis for relating nose wheel load 200 to load cell output. The following symbology is used in this analysis:

[0115] d₁: the horizontal distance between the nose wheel axis and the fulcrum point 204.

[0116] d₂: the horizontal distance between fulcrum point 204 and applied force R.

[0117] l₁: the horizontal distance between pivot pin 12band load cell 30.

[0118] l₂: the horizontal distance between pivot point 12band applied force R.

[0119] L: the reactive force measured at load cell 30.

[0120] P_n: nose wheel load.

[0121] Turning first to the pivot arm 12, and summing the moments about pivot pin 12b:

[0122] (L)(l₁)=(R)(l₂)

[0123] R=L(l₁/l₂)

[0124] Next, considering the forces on the entire apparatus, the moments about fulcrum point 204 are summed: $\left(P_n\right)\left(d_1\right)=\left(R\right)\left(d_2\right)$ $P_n=R\frac{d_2}{d_1}.$

[0125] Substituting for R from the equation above yields: $P_n=L\frac{l_1{d}_2}{l_2{d}_1},$

[0126] which relates the load cell measured reactive force L to nose wheel load 200 or P_n. This value of nose wheel load 200 may be used in the CG equation above to determine aircraft CG.

[0127] A method for determining aircraft CG is illustrated schematically in the flow chart in FIG. 9. The method includes determining the load on one of a plurality of aircraft wheels using one of the above approaches, if necessary, determining the aircraft inclination with respect to level, and relating the nose wheel load to the aircraft center of gravity based on the measured aircraft inclination. In a preferred embodiment, the necessary calculations for determining wheel load are carried out in a microprocessor connected to load cell 30. Microprocessor receives an electronic input from load cell 30 and at the same time from inclinometer 52 mounted in aircraft 50. The inclinometer 52 measures the angle of inclination θ and converts this information into an electronic signal. These two electronic inputs may be provided to processor simultaneously.

[0128] The method begins with aircraft inputs 102, inclinometer input 104, and nose wheel load input 106. The latter two 104, 106 are fed to wheel load processor 109. The aircraft inputs include aircraft empty weight and fuel load. The remaining two inputs 104, 106 may be provided in electronic form directly from inclinometer 64 and load cell 30 via electrical leads connecting these devices directly to processor 109. Alternatively, the output from these devices may be obtained from a numeric display contained in hand held units that are electronically connected to inclinometer 64 and lever apparatus 10. The values shown in the numeric display may then be input via a keyboard or some equivalent into processor 109. The output of wheel load processor 109 is fed to CG processor 108 which generates an initial CG calculation that is then corrected at 110 for any items not yet on the aircraft at the time the CG determination is made. These items could include the pilot weight, the weight of lever apparatus 10, if it is to be stowed onboard during flight, and any other miscellaneous items. Next, a total weight and CG is calculated at 112. At test 114 the results from step 112 are compared to the operating limits for the aircraft as specified in the manufacturer's operating handbook. If the total weight and CG locations are within acceptable parameters, then the aircraft is ready for flight as indicated at 116. If test 114 answers no, then it is necessary to remove or redistribute cargo 118. From that step, the routine returns to input gathering 102, 104, 106. Processor 108 may include its own display 111. Each of the steps 108, 109, 110, 112, 114 may be carried out in a single electronic processor. Separate blocks have been shown in this flow chart solely for the purpose of clarity.

[0129] It will be readily appreciated that operating parameters for a variety of aircraft may be stored in an electronic memory location that communicates with processor 108. Thus the method would be initiated by entering the type of aircraft whose CG will be determined so that a CG application running on the computer would access the proper aircraft parameters from a stored database. This method lends itself to recording a history of total weight and CG locations for a number of flights for a particular aircraft. This historical information can be used in a prospective fashion to better determine proper aircraft loading so that acceptable total weight and CG will be achieved on the first loading without having to redistribute or remove cargo from the aircraft.

[0130] One of the primary advantages of the present invention is that, for small cargo planes, one person has sufficient strength to exert the required downward force on the lever apparatus 10 to raise nose wheel 60 from the ground using lever apparatus 10. It is believed that the invention is also suitable for much larger aircraft that can be accommodated by increasing the size and structural load bearing capability of lever apparatus 10. For these much larger aircraft, it may be necessary to use an item of aircraft handling equipment to exert the downward force required to raise nose wheel 60. Nevertheless, the operating principle of such a scaled-up version would remain the same.

[0131] Various modifications to the lever apparatus 10 will be apparent to one of ordinary skill. For example, the embodiment shown in FIG. 4 shows two legs 16 extending downwardly from frame 14. In an alternative embodiment, a single leg may be provided extending downwardly from the frame at the approximate location of tie member 14C. A partial elevational view of such a single leg is shown in FIG. 10. The single leg 40 includes a downwardly extending leg member 42 that includes at its lower end a roller housing 43 to which is secured a wide roller 44. In this single leg embodiment, the width of roller 44 typically is several times wider than that of roller 21 used in the 2-leg embodiment. The extra width provides more stability for lever apparatus 10.

[0132] The method and apparatus of the present invention provide other advantages over prior art methods for determining aircraft center of gravity. There is no need to locate potentially fragile load cells in aircraft landing gear oleo struts. Such strut-mounted systems have encountered numerous problems. Moreover, avoiding the landing gear cell placement eliminates any variations in accuracy caused by structural changes in the aircraft landing gear as the aircraft ages.

[0133] The lever apparatus 10 illustrated in FIGS. 4-6 is lightweight, may be carried and operated by one person for small cargo aircraft, and may be stowed onboard the aircraft after each use. Some of the components such as the legs 16 may be disassembled from the frame 14 to take up less space on an aircraft. With the legs 16 removed from frame 14 and pivot arm 12 locked in a stowed position the lever apparatus 10 may serve as a tow bar. Alternatively, the lever apparatus embodiment illustrated in FIG. 4 is particularly suited for use as a tow bar.

[0134] Another advantage of the present invention is that it does not require any type of hydraulic connection to an aircraft landing gear. These connections are expensive and, to the extent that they require tapping into existing hydraulic lines and cylinders, create many opportunities for bothersome leaks. The technique of the present invention is completely independent of all aircraft hydraulic systems and does not require the plurality of pressure transducers seen in the prior art.

[0135] The present invention further provides other advantages not mentioned here but which would be readily apparent to one of ordinary skill. The scope and practice of the present invention includes those advantages.

[0136] The entire method of determining aircraft weight and CG may be automated to varying degrees. For example, data concerning empty aircraft weight and various fuel loads for a number of aircraft may be stored in a memory device that is linked electronically to processor 108 so that this information need not be looked up in manuals for each CG determination. Alternatively, the operator may use a keyboard to enter the aircraft type, cargo load appropriate fuel load, and any other miscellaneous information concerning aircraft load to determine aircraft weight and CG location.

[0137] Other approaches would include the use of any weighing mechanism and manual tables or calculations to determine wheel load and CG location. In this manual embodiment inclinometer would not generate a signal indicative of aircraft inclination but would provide a visual output that is read by an operator. The practice of the present invention includes a variety of combinations of manual and electronic data input for CG determination.

[0138] It should be understood that the headings used herein are for the purposes of organization and convenience and should not be construed to limit the present invention in any way. Although the present invention has been described with preferred embodiments, it is to be understood that modifications and variations may be utilized without departing from the spirit and scope of this invention, as those skilled in the art will readily understand. Such modifications and variations are considered to be within the purview and scope of the appended claims and their equivalents.