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矩形板的非线性热弹耦合振动
引用本文:戴德成 任勇生. 矩形板的非线性热弹耦合振动[J]. 振动工程学报, 1990, 3(2): 65-72
作者姓名:戴德成 任勇生
作者单位:东南大学(戴德成),南京航空学院(任勇生)
基金项目:国家自然科学基金会资助
摘    要:本文从完整的弹性力学方程出发,导出了板的非线性热弹耦合振动基本方程,分析了力和温度场的边界条件,并对夹支边界和混合边界情况作了具体的分析和数字计算,得到了热弹耦合效应对热弹耦合振动的振幅和频率的作用机理.所得结果对板动力学的理论研究和实际应用有较大参考价值.

关 键 词:非线性振动  热弹耦合振动  板振动

Nonlinear Thermoelastically Coupled Vibrations of Rectangular Plates
Dai Decheng. Nonlinear Thermoelastically Coupled Vibrations of Rectangular Plates[J]. Journal of Vibration Engineering, 1990, 3(2): 65-72
Authors:Dai Decheng
Affiliation:Dai Decheng(Southeast University)Ren Yongsheng(Nanjing Aeronautical Institute)
Abstract:The fundamental equation of nonlinear thermoelastically coupled vibrations is derived from the exact equations of the elastcity theory. Force and thermal boundary conditions are analysed. For example, the all-edge clamped plate and tie all-edge simply supported plate and plate with mixed edge conditions are dealt with. The mechanism of the thermoelastic coupling effect on the amplitude and the frequency is presented. It is valuable for the theory and applications of the plate dynamics.
Keywords:Nonlinear Vibration  Thermoelastic Vibration  Plate Vibration.
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