Second-order statistics of large-amplitude free vibration of a random composite plate

作者：Dash P; Singh B N^*

来源：Proceedings of the Institution of Mechanical Engineers - Part G: Journal of Aerospace Engineering , 2009, 223(G8): 1099-1113.

DOI：10.1243/09544100JAERO527

• stochastic non-linear vibration
• laminated composite plate
• higher-order shear deformation theory
• geometric non-linearity
• finite elements

This article addresses the non-linear free vibration stochastic characteristic of a laminated composite plate having random material properties. The transverse shear effects have been included in the system equation in the frame work of higher-order shear deformation theory. The analysis uses Green-Lagrange non-linear strain-displacement relationship to model geometric non-linearity. Direct iteration approach is used to handle deterministic system non-linearity and perturbation approach is presented to handle the randomness in the system properties. Mean and variance of the random natural frequencies have been obtained by employing a C(0) isoparametric non-linear finite-element model. Comparisons with the published results show the accuracy of the proposed procedure. A few results covering various features have been presented for a laminated composite plate with different boundary conditions.

• 出版日期2009-12