Force Transducer

1. Field of the Invention

The present invention relates to a force sensing transducer designed for converting an input force such as compressive force or tensile force into a frequency signal. The force transducer is adapted for wide application to a variety of instruments and apparatus including pressure gauges, gravimeters, differential pressure gauges and level meters.

2. Description of the Prior Art

FIG. 1 illustrates the operating principle of a conventional force-to-frequency transducer known heretofore, in which a bar 1 having a uniform cross section is anchored at two ends thereof on a base 10 such as a case. Supposing now that an axial force S exerted toward the center of the bar 1 is applied to each of the stationary ends thereof, the relationship set forth in Equation (1) exists between the axial force S and the lateral vibration frequency f of the bar when 1>K.sub.2 l.sup.2 /EI S: ##EQU1## in which l: length of bar 1

E: longitudinal elastic modulus of bar 1

I: secondary moment of cross section related to main axis perpendicular to direction of vibration

g: gravitational acceleration

.rho.: density of bar 1

A: cross-sectional area of bar 1

S: axial force (compressive force - positive)

K.sub.1, K.sub.2 : constants determined by bar support conditions and vibration mode.

Since the resonant frequency .omega. is represented by 2.pi.f, the axial force S applied is obtainable by measuring the resonant frequency .omega. of the bar 1.

In such a transducer, the conditions for attaining a high-precision force measurement must satisfy the following requirements:

(i) High stability in the frequency f, signifying that the vibrator (bar 1) has a high Q factor.

(ii) Great frequency change rate .DELTA.f/.sigma. per unit stress. ##EQU2##

The goodness G of the above transducer can be expressed as

In the structure of FIG. 1, the input axial force S is obtainable by causing the bar 1 to resonate and measuring its resonant frequency .omega.. However, during vibration as shown in FIG. 1B, a reaction force R is generated at each end of the bar 1 anchored to the base 10, and this force is consumed as a loss unless the base 10 is an ideal stationary end, thereby inducing a reduction in the Q factor of the bar 1.

It is an object of this invention to provide an improved force transducer of a simplified construction which is capable of performing an efficient operation with a minimum loss of vibrational energy and which can be readily manufactured.

In carrying out this invention in one illustrative embodiment thereof, a force transducer is provided comprising a vibrator having a pair of vibrating pieces having a longitudinal axis and being parallel with each other, coupling pieces for joining the respective ends of the vibrating pieces with each other, exciting means for causing the vibrating plates to resonate, and sensing means for detecting the vibration frequency of the vibrating plates, wherein an input force to be measured is applied in the longitudinal direction of the vibrating plates. Such a structure is effective in eliminating the problems that have been left unsolved according to the prior art.

FIGS. 1A and 1B are diagrams illustrating the operating principles of a conventional force transducer.

FIG. 2A is a front elevational view of an exemplary embodiment of a force transducer according to the present invention also illustrating the vibration sensor in block form.

FIG. 2B is a side elevational view of FIG. 2A without the vibration sensor.

FIG. 2C is a perspective view of FIG. 2A.

FIG. 3 is a schematic diagram of the equivalent structure illustrating the operating principles of the vibrator shown in FIGS. 2A through 2C.

FIG. 4A is a perspective view of another embodiment of this invention.

FIG. 4B is a schematic diagram of the equivalent basic structure of FIG. 4A.

FIG. 5A is a perspective view of another embodiment of the invention.

FIG. 5B is a schematic diagram of the equivalent structure of FIG. 5A.

FIG. 6 is a perspective view of another embodiment of the invention.

FIG. 7 shows the force transducer of this invention in a differential pressure gauge which is partly in cross-section.

FIG. 8 illustrates the use of the force transducer of the present invention in another differential pressure gauge, partly in cross-section.

FIG. 9 shows the force transducer employed in a pressure gauge, partly in cross-section.

FIG. 10 illustrates the use of the force transducer in a level meter.

FIG. 11 illustrates the employment of the force transducer of the present invention in a gravimeter.

Referring now to FIGS. 2A through 2C, a vibrator 1 is equipped with a pair of plate-shaped vibrating pieces 11 and 12 which are symmetrical with respect to a center axis Cl and are parallel with each other. A pair of coupling pieces 13 and 14 join the respective ends of the vibrating pieces 11 and 12 with each other. In the example shown, these component pieces are produced out of a single columnar block by cutting the same in the manner to form a through hole 15 in the longitudinal direction to obtain vibrating pieces 11 and 12 symmetrical with respect to the center axis and also to form coupling pieces 13 and 14 with the remaining portions at the two ends of the through hole 15. Plate-shaped flexures 21 through 23 and 31 through 33 orthogonal with each other and attachment pieces 24 and 34 are formed in the direction of extension of the coupling pieces 13 and 14 and are connected thereto. These flexures and attachment pieces constitute attachment parts 20 and 30 of the vibrator 1, via which an input force S to be measured is applied to the vibrating pieces 11 and 12 in the longitudinal direction. An exciting element 4 secured to the vibrating piece 11 and a vibration sensor 5 secured to the vibrating piece 12 constitute an oscillator in cooperation with an amplifier 6 and the vibrator 1. The exciting element 4 and the vibration sensor 5 may comprise, for example, piezoelectric elements. A frequency meter 7 is provided for measuring the oscillation frequency of the oscillator including the vibrator 1.

In the structure described above, an input force to be measured is applied as an axial force to the vibrator 1 via the attachment parts 20 and 30 as indicated by an arrow S in FIGS. 2A through 2C. When the input force varies, the resonant frequency of the vibrator also varies in accordance with the input force as is manifest from Equation (1), thereby varying the oscillation frequency of the oscillator. Consequently, the value of the axial force S applied to the vibrator 1 is obtained through measurement of the oscillation frequency f by the frequency meter 7.

Referring now to the equivalent mechanical schematic diagram of FIG. 3, if the vibrating pieces 11 and 12 are vibrated in a symmetrical mode with respect to the center axis Cl, the vibrations thereof are effected in mutually opposite directions as illustrated, so that the reaction forces R.sub.1, R.sub.2 and the moments M.sub.1, M.sub.2 generated at the juncture between the vibrating piece 11 and the coupling pieces 13 and 14 and also at the juncture between the vibrating piece 12 and the coupling pieces 13 and 14 are equal in value but are opposite in direction to each other (R.sub.1 =-R.sub.2 and M.sub.1 =-M.sub.2). Therefore, R.sub.1 and R.sub.2, and also M.sub.1 and M.sub.2 cancel each other in the coupling pieces 13 and 14, so that no force is eventually generated at the connection point of the vibrator 1 to the base 10. Consequently, regardless of how the vibrator 1 is supported on the base 10, no leakage of the vibrational energy occurs from the vibrator 1 toward the base 10. And thus, an excellent vibrator is obtainable with a high Q factor which signifies a great value of goodness G. Moreover, as the vibrator 1 is held by means of plate-shaped flexures orthogonal with each other, it becomes possible to prevent generation of an error that results from a deviation of the center axis caused by an attachment error when securing the vibrator 1 to the base 10 while isolating the same from the case and so forth with regard to vibration.

FIGS. 4 through 6 are perspective views showing the structures of other embodiments of the invention.

In the embodiment of FIG. 4, through holes 16 and 17 are formed in coupling pieces 13 and 14 which join the ends of the vibrating plates 11 and 12. Due to this structure, the length l.sub.2 of the vibrating pieces 11 and 12 operates dominantly in symmetrical mode oscillation which is illustrated by the broken lines in FIG. 4B, while the length l.sub.1 including the coupling pieces 13 and 14 operates dominantly in non-symmetrical mode oscillation providing a difference between the resonant frequencies in the symmetrical mode and the non-symmetrical mode. Consequenty, the vibrator is rendered oscillatable with facility and stability in the symmetrical mode. Furthermore, the side walls 18 and 19 of the through holes 16 and 17 are permitted to serve as portions of the vibrating pieces.

In the embodiment of FIG. 5A, through holes 25 and 35 are formed in attachment pieces 24 and 34, respectively, so as to decrease the longitudinal elastic constants of the attachment pieces 24 and 34. As is illustrated in FIG. 5B, satisfactory vibrational isolation is ensured between the vibrator 1 and the base 10 by the pieces 24 and 34 which effectively prevent the outflow of the vibrational energy from the vibrator 1 to the base 10.

In another embodiment shown in FIG. 6, a pair of vibrating pieces 11 and 12 are composed of flat plates which are symmetrical with respect to a center axis Cl and are parallel with each other in the same plane.

In each of the above embodiments, the exciting element 4 and the vibration sensor 5 may be formed by evaporating or sputtering piezoelectric material directly on predetermined regions of the vibrating pieces to function as thin-film type piezoelectric elements. In such a case, a higher Q-factor is attainable with enhanced productivity.

Alternatively, the vibrator 1 may be made of a magnetic material in which case both excitation and detection of vibration would be effected by means of coils in a non-contact manner.

Furthermore, the vibrator, the exciting element and the vibration sensor may be combined to constitute a single structure by the use of a piezoelectric material, for example, in crystalline form. In such form, electrodes may be deposited on the piezoelectric crystal by the art of evaporation or the like and incorporated in the vibrator 1. According to the above method, excellent characteristics are achievable with a low output impedance in a relatively simple construction. In this case, cutting of the crystal and location of the electrodes may be so selected as to cause bent vibration of the vibrating pieces 11 and 12.

Although the foregoing embodiments employ plate-shaped vibrating pieces, it is to be understood that they may be shaped into bars as well. Moreover, in addition to the above embodiments where the vibrator and the support portions of predetermined shape are produced out of a columnar block to constitute a single structure, it is also possible to assemble a similar structure by combining individual component parts.

FIGS. 7 through 11 show examples of apparatus each employing the force transducer of this invention.

FIGS. 7 and 8 illustrate the incorporation of a force transducer in a differential pressure gauge. In the example of FIG. 7, a diaphragm capsule DC generates a force corresponding to the difference between pressures H and L introduced to the two sides thereof. The force thus generated is transmitted to one end of a force bar FB via a flexure FL. The force bar FB is supported by a seal diaphragm SD and transmits the force, which is received via the flexure FL, to a vibrator 1 by way of an over-range mechanism OR. Due to such a structure, the natural vibration frequency of the vibrator 1 varies in accordance with the force applied, so that the differential pressure to be measured is obtained from the natural vibration frequency.

In the example of FIG. 8, input pressures H and L to be measured are introduced to the two sides of a bellows capsule BC.

FIG. 9 illustrates how the force transducer is applied in a pressure gauge. A movable plate MP supported by a flexure FL is equipped with bellows BC.sub.1 and BC.sub.2 which are disposed to be substantially symmetrical with respect to the flexure FL. Each of the bellows BC.sub.1 and BC.sub.2 is attached via an eccentric member. A balance weight BW is mounted on one end of the movable plate MP so as to eliminate an attitude error, and an exciting coil EC is provided for magnetically attracting the weight BW to compensate for temperature error. The balance weight BW and the exciting coil EC are dispensable. In FIG. 9, an axial force S exerted onto the vibrator 1 is expressed as

in which

A.sub.1, A.sub.2 : effective areas of bellows BC.sub.1, BC.sub.2

P.sub.1, P.sub.2 : pressures applied to bellows BC.sub.1, BC.sub.2

l.sub.1 : distance between flexure FL and bellows BC.sub.1

l.sub.2 : distance between flexure FL and vibrator 1

l.sub.3 : distance between flexure FL and bellows BC.sub.2.

If the condition l.sub.1 A.sub.1 =l.sub.3 A.sub.2 is satisfied in Equation (3), it may be rewritten as

Therefore, the pressure can be obtained from fo and fs, in which: fo denotes the resonant frequency of the vibrator when S=O, i.e., P.sub.1 -P.sub.2 or P.sub.1 =P.sub.2 =O; and fs denotes the resonant frequency of the vibrator 1 when P.sub.1 and P.sub.2 are equal.

According to the mechanism shown in FIG. 9, the component parts are minimized in number to accomplish simplification of the structure. By the use of eccentric members for attaching the bellows BC.sub.1 and BC.sub.2, adjustment is facilitated to satisfy the condition l.sub.1 A.sub.1 =l.sub.3 A.sub.2 even when any difference exist between the effective area A.sub.1 and A.sub.2 of the bellows or any positional error of the attached bellows in relation to l.sub.1 and l.sub.2. Since the example of FIG. 9 constitutes a pressure gauge by itself, it can be incorporated as a pressure gauge unit into another mechanism. For instance, measurement of a gauge pressure or an absolute pressure is rendered possible by installing such a unit in a case.

Although in FIG. 9 the vibrator 1 is located at the right end alone, another vibrator of the same characteristic may be provided at the left end as well. Then the natural vibration frequency of each vibrator 1 is changed differentially to attain improvements in the sensitivity and the signal-to-noise ratio.

FIG. 10 illustrates the force transducer applied in a level meter, wherein a variation in the gravity of a float FT on a liquid level to be measured is fed to a vibrator 1 via a flexure FL and a force bar FB supported by a seal diaphragm SD.

In FIG. 11 illustrating the exemplary employment of the force transducer in a gravimeter, a weight W to be measured is applied to a vibrator 1 via a Loberval mechanism LM consisting of a receiving dish RD and parallel links. Stoppers ST.sub.1 and ST.sub.2 serve to protect the Loberval mechanism LM and the vibrator 1 in such a manner that the dish butts against them when an overweight object is placed on the dish.

Since other changes and modifications varied to fit particular operating requirements and environments will be apparent to those skilled in the art, the invention is not considered limited to the examples chosen for purposes of illustration, and covers all changes and modifications which do not constitute a departure from the true spirit and scope of this invention.