The acceleration effect on the vibration frequency of thickness-shear mode of an infinite isotropic plate

Abstract

With large accelerations, the mechanical vibrations of device structures can be driven to nonlinear states yielding strong variations of vibration characteristics such as frequency change and modes shape distortions. The exact equation of motion with an external acceleration of the thickness-shear vibrations of an infinite isotropic plate is approximated through the coupling in frequencies and solved with harmonics matching, and the approximate solutions of frequency and displacements due to the acceleration are obtained. The analytical solution with good accuracy is obtained and the frequency variation is evaluated with the simple relationship between deformation, acceleration, and frequency.

Keywords:

• Acceleration
• frequency
• nonlinear
• plate
• thickness-shear vibration

Additional information

Funding

This research is supported in part by the National Natural Science Foundation of China (Grants 11672142 and 11372145) and the K. C. Wong Magana Fund of Ningbo University. Additional support is through the Technology Innovation 2025 Program (Grant 2019B10122) of the Municipality of Ningbo.