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Position: Home > Articles > Size-dependent Free Vibration Analysis of Micro-laminated Reddy Beam Based on the Global-local Theory Journal of Heilongjiang Bayi Agricultural University 2017,29 (1) 105-109

基于整体与局部理论细观Reddy层合梁振动尺度效应分析

作  者:
司俊岭;刘少东;沙龙
单  位:
黑龙江八一农垦大学工程学院
关键词:
层合梁;整体与局部理论;偶应力理论;尺度效应;自由振动
摘  要:
针对经典力学理论无法反映细观层合梁振动尺度效应的问题,提出细观reddy层合梁振动模型。基于整体与局部理论,建立层合梁位移函数,基于新修正偶应力理论,引入细观材料长度参数詛。通过哈密尔顿原理和变分原理,推导出了含有细观材料长度参数詛的振动控制方程和边界条件。最后通过算例表明:在偶应力的影响下,此模型能够反映出细观层合梁振动尺度效应。
译  名:
Size-dependent Free Vibration Analysis of Micro-laminated Reddy Beam Based on the Global-local Theory
作  者:
Si Junling;Liu Shaodong;Sha Long;College of Engineering,Heilongjiang Bayi Agricultural University;
关键词:
composite laminated beam;;the global-local theory;;couple-stress theory;;size-dependent;;free vibration
摘  要:
Because the conventional continuum theory couldn't explain the scale effects of micro-laminated beam,the model of micro-laminated reddy beam was presented.Based on the global-local theory,the displacement function of laminated beam was built.According to the new modified couple stress theory,the material length-scale parameter 詛 was introduced.In terms of the Hamilton's principle and variational principle,the vibration equations of the laminated beam and the boundary conditions including the parameter 詛 were deduced.Finally,numerical results of an example showed that the scale effects of the natural frequencies of the composite laminated beam could be reflected by the developed beam model.
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