弹性基础上的三维编织复合材料板的非线性振动分析

基于宏-细观力学分析,考虑编织纱线连续性对材料性能的影响,建立了三维编织复合材料板的单胞模型.采用Reddy高阶剪切板理论,给出四边简支编织材料矩形板在不同几何参数、纤维体积含量和弹性地基参数情况下的vonKármán-Donnell型振动方程的解,并讨论了弹性基础刚度、面内载荷、边厚比和编织角等对编织复合材料板的振动频率的影响.理论分析结果与文献结果吻合较好.

Nonlinear Vibration Analysis of 3D Braided Rectangular Plates on Elastic Foundations

A nonlinear vibration analysis is presented for a 3D braided rectangular plate resting on a two-parameter (Pastemak-type) elastic foundation. Based on a micro-macro-mechanical model, a 3D braided composite may be as a cell system and the geometry of each cell is deeply dependent on its position in the cross-section of the plate.The governing equations are based on Reddy's higher four edges of the plates are assumed to be simply supported with no in-plane displacements.The numerical examples concern the free vibration of braided composite plates with different values of geometric parameter, fiber volume fraction,and braiding angle which resting on Pasternak-type elas-tic foundations with the Winkler elastic foundations being a limiting case. Effects of foundation stiff-ness, in-plane loads, plate side-to-thickness ratio are also studied. A detailed study on the free vi-bration of simply supported rectangular thick plates was performed.