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引用本文:杨亚政,刘华.???????????????????????????[J].力学与实践,2008,30(1):23-26.
作者姓名:杨亚政  刘华
作者单位:中国科学院力学研究所,北京 100080 北京航空航天大学,固体力学研究所,北京 100083
基金项目:国家自然科学基金,北京市教委共建项目
摘    要:主要基于三维弹性力学和状态空间法给出了四边简支各向同性矩形层合板自由振动和 强迫振动问题的精确解. 首先基于三维弹性力学建立了层合板的基本方程,利用状态空间法 解决了层合板的自由振动问题,然后根据Lagrange动力学方程求解了层合板受到横向冲击时 的强迫振动响应.

关 键 词:冲击  状态空间法  振动
收稿时间:2007-10-08
修稿时间:2007-11-24

THREE-DIMENSIONAL EXACT SOLUTION FOR FREE AND FORCED VIBRATIONS OF MULTILAYERED PLATES
YANG Yazheng,LIU Hua.THREE-DIMENSIONAL EXACT SOLUTION FOR FREE AND FORCED VIBRATIONS OF MULTILAYERED PLATES[J].Mechanics and Engineering,2008,30(1):23-26.
Authors:YANG Yazheng  LIU Hua
Abstract:Based on the three-dimensional theory of elasticity and the state space approach, this paper studies the free vibration and forced vibration of an isotropic multilayered rectangular plate with four edges simply supported. Firstly, on the basis of the theory of elasticity, the governing equations of a multilayered plate are established and the free vibration response of the laminated panel is obtained by the state space approach. Then the dynamic response of the multilayered plate subjected to an impact loading is obtained from Lagrangian dynamic formulations.
Keywords:impact  state space approach  vibration
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