FREE VIBRATIONS OF AN ANISOTROPIC ELASTIC ELLIPSOID
An elastic ellipsoid is one of popular configurations of materials as samples and components in various engineering applications.In this study, we are interested in free vibrations of anisotropic elastic ellipsoids.For simple formulation and efficient calculation, the Cartesian coordinates are utilized as the framework of this study.It is hoped that the formulation, ostensibly with lengthy expressions and coupled terms, can be solved with fewer terms of displacement functions in the ellipsoidal representation for simple evaluations of stiffness and mass matrices with the Rayleigh-Ritz solution procedure.By applying the variational principle of elasticity, equations of motion are given in terms of vibration amplitudes with matrices containing the displacement components in Chebyshev polynomials of coordinates.The free vibration frequency and mode of an ellipsoid of anisotropic material are studied.The accuracy of the analysis is improved through the increase of orders of Chebyshev polynomials.
Anisotropic ellipsoid Rayleigh-Ritz Chebyshev frequency vibration
Jing-hui WU Ji WANG Ju-lian SHEN Min-Chiang CHAO Long-tao XIE Sergei ZHGOON Jian-ke DU
Piezoelectric Device Laboratory, Ningbo University, Ningbo, Zhejiang 315211, China TXC (Ningbo) Corporation, 189 Huangshan West Road, Beilun District, Ningbo, Zhejiang 315800, China Moscow Power Engineering Institute, 14 Krasnokazarmennaja, Moscow 111250, Russia
国际会议
The 2017 Symposium on Piezoelectricity,Acoustic Waves and Device Applications(2017全国压电和声波理论及器件技术研讨会)
成都
英文
16-20
2017-10-27（万方平台首次上网日期，不代表论文的发表时间）