The present invention relates to a process of and to a system to carry out the process of measuring and recording undulatory or wavy deformations of the surface of rails.
There actually exists systems for detecting and recording data relative to the state of railroad tracks, such as for example apparatus to analyze the longitudinal profile, deviation, slope, spacing, skew or curvature of rails. Those known apparatus are however unsuitable to accurately detect undulation-like deformations along the surface of a rail since they mainly operate to check and record the general geometrical aspect of railroads. Moreover, the detecting and recording operations of those apparatus may be greatly affected when the rail-born vehicle onto which they are mounted passes over wavy sections of a rail, vibrations being then set not only into the measuring circuits but also on the recorder stylets used to record data about the rail conditions. It is therefore actually not possible to detect and measure the surface wear of a rail through the use of those known apparatus.
At the present time, the undulatory wear of a rail surface is usually detected in an empirical fashion through interpretation of defective records, as stated above, or through a visual inspection of the railway. But the data thereby obtained are wholly insufficient to establish either a meaningful estimation of the wear or to draw up a relevant maintenance work since neither the amplitude nor the wavelength of the undulatory deformation of the worn surface are known.
An object of the present invention therefore resides in a process of and system for measuring and recording undulatory deformations of a rail surface, which may be used conjointly with apparatus for detecting other information thereabout to form a realistic picture of the railway condition.
In accordance with the present invention, the process for measuring and recording undulatory deformations of a rail surface comprises the steps of moving a feeling device along the surface, generating a voltage signal by means of an accelerometer connected to the feeling device, said voltage being representative of the acceleration encountered by the feeling device moved along the rail surface, amplifying and filtering said signal as a function of the feeling device speed, twice integrating, rectifying the integrated signal, amplitude-modulating the rectified signal by a signal corresponding to the travelling speed of the feeling device to limit the peaks of the integrated signal, filtering the modulated signal to eliminate spurious signals, and recording the lastly filtered signal.
The present invention also resides in a system to carry out the above process, and which comprises a feeling device mounted on a rail-born vehicle to feel undulatory deformations of a rail surface, an accelerometer detecting the undulatory motions of the feeling device to generate a corresponding signal, an amplifying means to amplify said signal, a filtering means receiving the amplified signal and having a bandwidth which varies in function of the speed of said vehicle, means for twice integrating the filtered signal, a rectifying means fed with the integrated signal, means for amplitude-modulating the rectified signal with a signal corresponding to the speed of the vehicle, a filter connected to the amplitude-modulating means to eliminate spurious signals, and means for recording the resulting signal.
Preferred embodiments of the present invention will be hereinafter described with reference to the accompanying drawings, wherein
FIGS. 1 and 2 respectively depict short and long undulatory deformations of a rail surface;
FIGS. 3a and 3b are a block diagram, when joined together, of the system in accordance with the present invention for measuring and recording undulatory rail surface deformations;
FIG. 4 shows an enlarged curve of the wave detected by the feeler;
FIG. 5 shows the curve of FIG. 4, but rectified;
FIG. 6 shows the rectified curve of FIG. 5 together with an amplitude-modulating curve and the resulting main curve of the signals obtained;
FIG. 7 shows the main curve of FIG. 6 wherein a spurious pulse is detected; and
FIG. 8 shows a means to count and determine the length of wave forms.
Referring to FIGS. 1 and 2, there are illustrated undulatory deformations occuring along a rail surface 2, and partly show why prior apparatus using accelerometers mounted on the wheel shaft of a rail-born vehicle cannot provide realistic results thereabout. Indeed, with short wavelength deformations, the wheel radius R is usually larger than the minimum curvature .rho. of the bottom of the undulating wave 2, and therefore the wheel 1 is actually jumping from one wave peak to the other, which does not allow gathering data about the wave characteristics. On the other hand, even if the curvature radius of the wave is larger than the wheel diameter (see FIG. 2), the forward speed v of the vehicle as well as the weight of the wheel 3 do not permit fair estimation of the undulation since the wheel has a predominant tendency to take off the rail at undulation peaks and a quite large force .vertline.F.vertline. would be required to avoid such take-off.
Assuming that the undulatory wear surface of a rail has a sinusoidal profile, the following relations are justified:
and with
We obtain
y" has a maximum value for sin 2 .pi.(x/.lambda.) = 1
and therefore y"max=-.alpha..omega..sup.2 =-4.pi..sup.2 .alpha.(v.sup.2 /.lambda.2 )
From the above, the maximum take-off force .vertline.F'.vertline. may be computed: ##EQU1##
In the above relations, the various symbols designate:
y = vertical coordinate of the sinusoidal curve 2 under consideration;
y"= vertical acceleration;
.alpha.= maximum amplitude of curve 2;
v = forward speed of the vehicle;
.omega.= angular velocity of sinusoidal curve 2;
f = frequency of sinusoidal curve 2;
.lambda. = wavelength of sinusoidal curve 2;
x = distance;
M = weight of wheel 3; t = time.
It may be of interest to give the following example based on realistic numerical data for the required force .vertline.F'.vertline.:
We obtain ##EQU2## which gives in K.sub.p, .vertline.F'.vertline. = 67098.56 K.sub.p.
From the above figures, it is seen that to maintain the wheel in contact with the rail the wheel axle has to be loaded with a weight of 67 tons, while a maximum load per axle of about 20 tons is conventionally permitted.
Moreover, it is to be noted that, as a result of loads, the rail depression at the right hand side of wheel 3 is over 1 mm and therefore precise measure in the order of 100 mm may not be made. Additionally, the reaction forces from the axle suspension has to be taken into consideration, and, as a result, the data supplied by an accelerometer are merely a measure of the wheelrail reaction forces.
Turning now to FIGS. 3a and 3b, wherein the interconnecting leads are numbered in a like manner, a voltage waveform signal is fed from an accelerator 4 connected to a feeler 5 to an amplifier 6 connected to a band-pass filter 7, this signal being representative of the acceleration encountered by the feeler 5 along a plane perpendicular to the railway plane. The band-pass filter 7 is characterized in that its central frequency as well as its bandwidth vary simultaneously with speed variations of the vehicle by means of a speed-controlled signal supplied by the speed control device 8.
The feeler 5 is preferably disposed exteriorly of the zone disturbed by the rolling axles of the vehicle. Also, the feeler is so shaped that its surface in contact with the undulatory rail surface is of a curvature radius lower than that of the bottom of the smallest undulatory deformations to be measured. The feeler 5 is additionally elastically applied onto the rail surface.
The speed control device 8 is constituted of a speed decoder 9 which provides information about the instantaneous speed of the vehicle, a speed control means 10, and a binary decoder 11 for converting the signal from 10 into digital form. Such variation in the central frequency and the bandwidth of the filter is such that the response characteristics of the filter with respect to wavelengths falling within a range desired to be measured are substantially independent of the velocity. Indeed, the physical dimensions of the deformations imply a range of frequency which is in relationship with the frequency spectrum determining that undulatory wear signal, which is given by the following relation:
Then, by twice integrating the output signal of filter 7, the value of the distance travelled by the feeler is obtained, since, as is known, acceleration equates the second derivative of the distance with respect to time, and hence a measure of the travelled distance may be obtained through a double integration of the acceleration measure. Integrating may be effected in various ways:
(a) Either by an operational, analog or passive integrator 12, or in a similar manner, by analog filters, the response of which is inversely proportional to the square of the frequency;
(b) or by means of entirely digital means or through analog-digital means.
The above double-integration operation makes the measure of the distance travelled by the feeler automatically independent upon the vehicle speed, and directly proportional to the amplitude of the wear wave, and this regardless of the length of the wave within the measure limits.
The twice integrated signal from integrator 12 is representative of the undulatory deformations due to rail wear and is illustrated in FIG. 4. However, the results obtained at the output of the double integrator 12 may not be utilized in its present form since, for reasons of the large distance travelled by the vehicle as well as the relatively high speed of the vehicle and the limits imposed by the recorder used, the twice integrated signal has to be compressed before being recorded. This operation is effected by rectifying the integrated signal by means of an operational rectifier 13 at the output of which curve 14, shown in FIG. 5, is obtained, and then by amplitude-modulating the peaks of curve 14 in direct proportional to the speed by means of a circuit 15 under the control of the vehicle speed signal determined from block 8 to obtain a running average of the speed in function of the travel distance rather than time.
In FIG. 6, there are shown the rectified curve 14, the amplitude-modulating curve 16 and its corresponding running average curve 17. It is to be noted that in FIG. 6, the effective compression of the data by means of the running average curve is not taken into account.
That running average 17 provides faithful information about the essential variations of the undulatory surface of the rail, and this without unduly utilizing excessive lengths of paper records. With the present process, a continuous recording of the data which best represents the wear undulation is obtained.
Alternatively, it is also possible to utilize the main value of the undulation corresponding to predetermined sections of the rail instead of the above running average.
Thus, the peak amplitude-modulated signals which are well representative of the wear waveforms appearing along the rail, may be readily recorded. However, pulses corresponding to the defects or the physical setting up of the rails, such as joints, bad weld or other spurious phenomena, may also be detected.
FIG. 7 shows an average curve together with a pulse 18 which is to be eliminated. The elimination of such pulses is rendered necessary because their occurrence frequency as well as their amplitude, which may be more than 10 times as great as that of the oscillation under analysis, would screen the useful signals. Accordingly, recognition and filtering circuit 19 is connected in series with the amplitude-modulating circuit 15 to detect those spurious pulses, whereby the useful signal free from sporadic or repetitive disturbances is transmitted to the stylet 20 of the recorder 21.
The filtering circuit 19 operates to measure the slope variation of the input signal through determination of the first derivative of the signal with respect to time. Therefore, when the signal slope steeply increases and goes above typical values given for the undulation under analysis, the filtering circuit 19 operates to eliminate the steep pulse slope. As a result, the stylet 20 does not trace the value of such steep slope, but rather follows the profile of the curve corresponding to the amplitudes respecting the rail wear undulation.
In addition, a detecting circuit 22 is provided to count and to locate the pulses eliminated by the filtering circuit 19, thereby providing additional information about the disturbances and discontinuities present along the rail surface.
Although, the above description of block 23 concerns the detection and measurement of oscillations appearing on the surface of a single rail, a likely arranged system is of course provided for the same purpose for the other rail, which system is to be connected to stylet 24 for recording.
Now, the amplitude of the undulations being determined, it is also important to know the particular wavelengths thereof. As shown in FIG. 8, the undulation wavelength is determined by counting the number of times the signal appearing at the output of the integrator 12, pass through zero. The output of 12 is fed into a frequency-to-step-voltage converter 25 which converts the undulation frequency into step voltage 26, but a counter sensitive to sign changes of the undulation slope may as well be used. The resulting signal is then fed to a divider 27 to divide the speed signal from block 8 by that frequency to form the desired information about the wavelength. Those data are then recorded by stylet 28, whereas stylet 29 records the corresponding information relative to the other rail.
Besides, it may be of interest to also determine the characteristics of the audio-signals generated by the travelling vehicle. In this case, the audio-signal or sound level is sensed by a microphone 31 which feeds a pre-amplifier 32 connected to a band-pass filter 33. This filter 33 is similar to filter 7 of block 23 and has its bandwidth and its center frequency controlled by the speed signal issued from block 8 so as to limit the spectrum of the audio-signal to the undulation under analysis.
The output signal from filter 33 is then directed to an amplitude-modulated circuit 35 through a rectifier 34 and then to filter 36 to eliminate the spurious signals in a manner similar to filter 19. The resulting signal is then recorded by stylet 37 on recorder 21. Parallely, the signal delivered by the filter 33 is amplified by the power-amplifier 38 to actuate a speaker 39 which delivers a sound, the level of which corresponds to the signal recorded by stylet 37.
Similarly, a block identical to block 30 may be used to record the acoustical characteristics of the other rail of the railway, the resulting audio-signals being recorded by stylet 40 onto recorded 21 and rendered audible by means of the speaker 41.
Also, means may be provided to reset the recording to zero when the feeler 5 is raised or when the vehicle is stopped. In the process of preparing an efficient grinding operation of the rails, it becomes necessary to know the greatest undulatory wear on both rails, this implying a simultaneous analysis of both records. This inconvenience may be avoided through the use of a device 42 which compares the signal values corresponding to the wear of each rail and which delivers an output signal corresponding to the maximum value of the input signals, which value is recorded by stylet 43. In the same fashion, the device 44 compares the audio levels from both rails and selects the maximum value which is recorded by stylet 45.
Additionally, the vehicle speed measured by block 8 is also recorded by stylet 46.
It is also to be noted that the paper advance speed of the recorder 21 is controlled at 47 by block 8, thereby allowing to obtain records which are in function of the distance travelled by the vehicle.
In addition, there are provided multiple outputs 48 which may serve to transmit each of the recorded signals to other processing apparatus such as magnetic tape recorders, analysers, computers, etc.