Pasternak地基上弹性转动约束层合板的振动特性

基于经典层合板理论 ,研究在面内预加荷载作用下 Pasternak地基上带有弹性转动约束的复合材料矩形层合板的振动特性 ,给出了相应的半解析数值方法 .在运用一维 DQ格式沿 X轴将板的横向振动控制方程实施离散化的基础上 ,沿 Y轴选取满足边界条件的特征函数作为挠度试函数与应力试函数 ,应用 Galerkin法建立起求解自振频率的特征方程 .数值结果表明 ,转动约束刚度、地基参数、面内载荷形式、层合板铺设方式等因素对层合板振动特性均有较大影响 .

Vibration of LaminatedPlates with Elastic Rotational Constraints and Resting on Pasternak Foundations

The vibration analysis for in plane pre loaded laminated rectangular plates with elastic rotational constraints and resting on Pasternak foundations was presented within the context of classical laminated plate theory. A semi analytical approach was then developed. After the governing equations being discretized along X axis according to the DQ rule and trial functions being chosen for both deflection and stress fields, the Galerkin technique was used to produce an eigenvalue equation from which the natural frequencies of the plate can be determined. The numerical results show that the vibrational response of the plate is greatly influenced by elastic rotational stiffness, foundation parameters, in plane load pattern, fiber orientation and total number of plies.