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首页> 外文会议>International Conference on Mechanical Engineering and Mechanics vol.2; 20051026-28; Nanjing(CN) >Nonlinear Response of Circular Plates Subjected to In-plane Dynamic Thermal Loadings
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Nonlinear Response of Circular Plates Subjected to In-plane Dynamic Thermal Loadings

机译：平面内动态热载荷作用下圆板的非线性响应

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摘要

Based upon the von Karman's classical nonlinear plate theory, axi-symmetrical nonlinear vibrations of a thin immovably clamped circular plate subjected to in-plane dynamic temperature rise are investigated. The effects of thermal post-buckling deformation on the vibration responses are considered. It is assumed that the temperature rise is uniform along the thickness of the plate and can be expressed in two parts, one is static and another is sinusoidal function about time. By assuming that the vibration is harmonic, the time variable is eliminated and the partial differential equations are converted into a system of nonlinear ordinary differential equations by employing a Kantorovich time averaging method, in which the responses for static and dynamic temperature rise are coupled. The nonlinear ordinary differential equations with boundary conditions are solved numerically by using the shooting method. The effects of the static and dynamic temperature parameter on the frequencies and amplitudes are examined.
机译：基于冯·卡曼的经典非线性板理论，研究了平面内动态温升下不可移动夹紧的圆形薄板的轴对称非线性振动。考虑了屈曲后热变形对振动响应的影响。假设温度上升沿板的厚度是均匀的，可以用两部分表示，一个是静态的，另一个是关于时间的正弦函数。通过假设振动为谐波，可以消除时间变量，并通过使用Kantorovich时间平均方法将偏微分方程转换为非线性常微分方程组，该方法将静态和动态温度升高的响应耦合在一起。利用射击方法对具有边界条件的非线性常微分方程进行数值求解。研究了静态和动态温度参数对频率和幅度的影响。

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