Large Amplitude Free Vibration Analysis of Thin Rectangular Plates: Simple Closed-form Solutions

Nonlinear engineering: Modeling and application

article

Jagadish Babu Gunda¹ 

[1] Advanced Systems Laboratory

关键词: Large amplitude free vibratio;    Thin rectangular plates;    Ritz method;    Closed-form solutions;    Coupled displacement fields;    von-Kármán type of geometric nonlinearity;    Non-linear frequency;   

DOI  :  10.1515/nleng-2012-0012

来源: De Gruyter

【 摘 要 】

Large amplitude free vibration behavior of thin, isotropic rectangular plate configurations are expressed in the form of simple closed-form solutions by using an application of the Ritz method based on coupled displacement fields. Influence of plate aspect ratio (a/b) and Poisson ratio (v) on the behavior of back-bone curves is briefly discussed for various boundary configurations of the rectangular plate. Proposed closed-form solutions are corrected for the simple harmonic motion (SHM) assumption using the well established harmonic balance method which is applicable for the homogeneous form of cubic non-linear Duffing equation.

【 授权许可】

Unknown