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On hypotheses of micro scale composite laminated plate based on the new modified couple stress theory in free vibration analysis[J].计算力学学报,2017,(4):428~432

On hypotheses of micro scale composite laminated plate based on the new modified couple stress theory in free vibration analysis
On hypotheses of micro scale composite laminated plate based on the new modified couple stress theory in free vibration analysis

DOI：10.7511/jslx201704005

 作者 单位 E-mail 贺丹 沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 110136 Danhe@sau.edu.cn 杨万里 沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 110136

基于新修正偶应力理论，在对微细观尺度的复合材料层合梁/板进行力学响应计算时，往往采用一系列假设来简化模型。现有文献都全部或部分应用了这些假设，但对这些假设是否会对计算结果造成影响尚未进行充分讨论分析。本文建立了未经简化的新修正偶应力Reddy层合板模型，并对其自由振动进行了分析。通过数值算例的对比，讨论了常用的几个简化假设对微细观复合材料四边简支方板自振频率的影响以及适用范围。算例结果表明，常用的几个简化假设对于微尺度层合薄板自由振动的影响很小，对于厚板的低阶频率影响也很小，但对厚板的高阶频率影响显著。

A series of hypotheses have been adopted to simplify micro scale composite laminated beam/plate models when analyzing them based on the new modified couple stress theory.But the influences of these hypotheses on the accuracy of numerical results have been barely discussed.In this study,a new micro scale composite laminated Reddy plate model without any simplification was proposed as a standard model by which an exact free vibration analysis was performed.The effects and applicability of the simplified hypotheses on the free vibration analysis for micro scale composite laminated plates were discussed through the comparison of numerical results.It is concluded that these hypotheses have little effect on the free vibration of thin plates,on the other hand,they have a significant effect on higher modes in the cases of thick plates.