具有中心刚性质量的受热环板的非线性振动和热屈曲
Nonlinear Vibration and Thermal-Buckling of a Heated Annular Plate with a Rigid Mass
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摘要: 基于von Kármán方程和Hamilton原理,本文研究了外周边完全夹紧、内周边固连一刚性质量的各向同性环板在均匀变温场内的非线性振动和热屈曲.采用参数摄动和数值微分方法,求得了系统的非线性动力响应以及板面内失稳的临界温度.文中给出了一些有意义的特征曲线和数表.Abstract: On the basis of Hamilton's principle and dynamic version of von Kármán's equations, the nonlinear vibration and thermal-buckling of a uniformly heated isotropic annular plate with a completely clamped outer edge and a fixed rigid mass along the inner edge are studied. By parametric perturbation and numerical differentiation, the nonlinear response of the plate-mass system and the critical temperature in the mid-plane at which the plate is in buckled state are obtained. Some meaningful characteristic curves and data tables are given.
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