4-61
Frequency shift is a function of the magnitude and direction of the acceleration, and is usually linear with magnitude up to at least 50 g’s.
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Acceleration vs. Frequency Change
   When a resonator experiences an acceleration, the strains due to the acceleration cause frequency changes, as shown above.  Under vibration, the time varying strains cause time dependent frequency changes, i.e., the vibration causes frequency modulation, as shown on the pages that follow.
   The relationship between frequency and acceleration can become nonlinear at high accelerations due to deformation of the mounting structure.  The acceleration sensitivity can also be a function of temperature.


M. Valdois, J. Besson, and J.J. Gagnepain, “Influence of Environment conditions on a Quartz Resonator,” Proc. 28th Annual Symposium on Frequency control, pp. 19-32, 1794, AD-A011113.

R. L. Filler, "The Acceleration Sensitivity of Quartz Crystal Oscillators:  A Review," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 35, No. 3, pp. 297-305, May 1988.

J. R. Vig, C. Audoin, L. S. Cutler, M. M. Driscoll, E. P. EerNisse, R. L. Filler, R. M. Garvey, W. L. Riley, R. C. Smythe, and R. D. Weglein, "Acceleration, Vibration and Shock Effects - IEEE Standards Project P1193," Proc. 1992 IEEE Frequency Control Symposium, 763-781, 1992; also, The Effects of Acceleration on Precision Frequency Sources, U. S. Army Laboratory Command Research and Development Technical Report SLCET-TR-91-3, March 1991, AD-A235470.