Higher‐order effects of initial deformation on the vibrations of crystal plates

Xanthippi Markenscoff
1977 Journal of the Acoustical Society of America  
A system of plate equations for the thickness-shear and flexural vibrations superposed on large initial deflection due to bending is derived; in the stress-strain relations the terms associated with the fourthorder elastic stiffness coefficients are retained. An explicit formula for the change in the fundamental cutoff thickness shear frequency is obtained and the effects of the terms associated with the fourth-order constrants appear to be significant for large gradients of the rotation
more » ... the rotation angles. Subject Classification: 43.40.Dx 436
doi:10.1121/1.381335 fatcat:3psqzxyfuzc4vcpvlxiisefuw4