Vol.40, No.1, 2014, pp.21-34, doi:10.3970/cmc.2014.040.021
OPEN ACCESS
ARTICLE
Nonlinear Symmetric Free Vibration Analysis of Super Elliptical Isotropic Thin Plates
  • Da-Guang Zhang1,*, Hao-Miao Zhou1
College of Information Engineering, China Jiliang University, Hangzhou, 310018, China.
Corresponding author. Email: zhangdaguang2012@gmail.com
Abstract
Nonlinear symmetric free vibration analyses are first presented for super elliptical isotropic thin plates with simply supported edge and clamped edge based on classical plate theory. Approximate solutions of super elliptical thin plates are obtained by Ritz method, and the validity can be confirmed by comparison with related researchers’ results. Numerical results confirm that the characteristics of nonlinear vibration behaviors are significantly influenced by different boundary conditions, vibration amplitudes, the power of the super ellipse, as well as ratio of major to minor axis.
Keywords
Super elliptical plates, Nonlinear vibration, Ritz method.
Cite This Article
Zhang, D., Zhou, H. (2014). Nonlinear Symmetric Free Vibration Analysis of Super Elliptical Isotropic Thin Plates. CMC-Computers, Materials & Continua, 40(1), 21–34.