大连理工大学学报Issue(3)：313-321,9.
修正偶应力理论层合薄板自由振动模型及尺度效应
Free vibration model of composite laminated thin plate based on modified couple stress theory and scale effects
摘要
Abstract
By introducing the anisotropic constitute equation of the composite laminated plate in the micro-scale ,the modified couple stress theory in the isotropic elasticity is extended to anisotropic elasticity .Based on virtual principle ,a new model of free vibration for composite laminated thin plate containing two materials′ characteristic length constants is established for the first time . In this theory ,the form of new curvature tensor is asymmetric .However under the case of isotropic ,this theory can be identical to the original modified couple stress theory .In order to be convenient for engineering application ,a simplified model for composite laminated thin plate of couple stress theory with one material′s length constant is proposed for analysis of bending and free vibration .Numerical results show that the present thin plate model can capture the scale effects of free vibration in the microstructures .关键词
修正偶应力理论/各向异性本构方程/尺度效应/层合薄板/自由振动Key words
modified couple stress theory/anisotropic constitute equation/scale effects/composite laminated thin plate/free vibration分类
数理科学引用本文复制引用
李莉,陈万吉,李小鹏..修正偶应力理论层合薄板自由振动模型及尺度效应[J].大连理工大学学报,2013,(3):313-321,9.基金项目
国家自然科学基金资助项目（11072156）． （）
