Newly devised calibration methods t o improve accuracy of calibration are discussed together with the conventional methods. Our special transducers which must undergo hard vibrations and shocks before actual operation were calibrated with these methods. It was confirmed that these transducers can stand up against the presumed vibrations and shocks. The advantage of the MKSA unit system in the calculation of natural frequency, damping constant and sensitivity is shown in the course of the discussion.
These calibration methods are as follows:
(1) Natural frequency.
Two methods, named the phase method and the oscillation method, were devised. The circuit diagram of the phase method is shown in Fig.2. As can be derived from Eq. (17), when the Lissajous figure shows agreement in phase as between coil output and oscillator output, the frequency of the oscillator fits the natural frequency of the transducer. When the damping constant is less than three, the error is at most one percent. The circuit diagram of the oscillation method is shown in Fig.4. As shown in Eq. (23), the pendulum oscillates just at its natural frequency when the negative resistance, defined in Eq. (20), satisfies the condition of Eq. (21). Fig.6 shows the record of free oscillation of the pendulum and the record obtained with the oscillation method. As can be seen from Fig.6, the two frequencies completely agree with each other. Even if the damping constant is greater than three, the error can be lowered less than one percent.
(2) Damping constant.
There are no d i fficulties in an accurate measurement of the damping constant, if it is very small or very great, even with the conventional methods described by HAGIwARA (1945). But with transducers with nearly critical damping, there appear some problems that make it difficult to measure damping constant accurately with the conventional methods. For such transducers, the so-called resonance method, the circuit diagram of which is shown in Fig.2, is available. The damping constant can be calculated from the sharpness of the resonance characteristics. The theoretical characteristics and the calculation method are shown in Fig.7 drawn upon Eq. (31). Owing to the accurate natural frequency measured with the previous methods, even if the damping is nearly critical, one can measure the damping constant accurately with this method.
(3) Sensitivity.
Sensiti v ity of a transducer can be measured with various methods. The sensitivities of transducers A and B were measured with the following methods in which newly devised methods are included: damping constant method, condenser method, DC current method, weight method, AC current method, test coil method and vibration table method, The measurement values of sensitivities of transducers A and B are summarized in Table 1. Measurement values are consistent with each other except for the vibration table method. So far, without reasonable foundation, some of these methods have been regarded as not so accurate. Nevertheless Table 1 shows that every one of them except the vibration table method is available for accurate measurement of sensitivity.
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