Mathematically study on vibration of visco-elastic parallelogram plate

Mathematical Models in Engineering

Ashish Kumar Sharma¹  Subodh Kumar Sharma² 

[1] Department of Mathematics, Pacific University, Udaipur, Raj., India;Head of Mathematics Department, Government P. G. College, Ambala Cantt. Haryana, India;

关键词: visco-elastic;    vibration;    parallelogram plate;    frequency;    taper constant;   

DOI  :  

来源: DOAJ

【 摘 要 】

The free vibration of parallelogram plate with varying thickness and thermal effect are investigated in the present study. Using the separation of variables method, the governing differential equation has been solved for vibration of visco-elastic orthotropic parallelogram plate. An approximate but quite convenient frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. The frequencies corresponding to the first two modes of vibrations are obtained for a parallelogram plate for different values of taper constant and thermal gradient.

【 授权许可】

Unknown