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新修正偶应力层合板理论中的几个基本假设对自由振动计算的影响

贺丹 杨万里

计算力学学报2017,Vol.34Issue(4):428-432,5.
计算力学学报2017,Vol.34Issue(4):428-432,5.DOI:10.7511/jslx201704005

新修正偶应力层合板理论中的几个基本假设对自由振动计算的影响

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

贺丹 1杨万里1

作者信息

  • 1. 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
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摘要

Abstract

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.

关键词

各向异性/修正偶应力/尺度效应/复合材料层合板/自由振动

Key words

anisotropic/modified couple stress theory/scale effects/composite laminated plate/free vibration

分类

数理科学

引用本文复制引用

贺丹,杨万里..新修正偶应力层合板理论中的几个基本假设对自由振动计算的影响[J].计算力学学报,2017,34(4):428-432,5.

基金项目

国家自然科学基金(11572204)资助项目. (11572204)

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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