用双曲热传导法分析圆柱板的热弹性

A. Pourasghar, J. Brigham
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引用次数: 0

摘要

提出了一种分析圆柱板在瞬态热传导作用下热弹性特性的三维方法。首先,分别利用微分正交法(DQM)和Newton-Raphson法求解双曲型热传导方程,得到空间和时间域的温度(和热流密度)。然后将得到的温度分布应用于圆柱板的三维热弹性方程中,通过求解特征值问题得到每个时间步的位移和应力。数值算例表明,该方法能较准确地估计出温度和挠度。然而,DQM的精度依赖于时间增量和采样网格点在时空域中的个数。
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Thermoelastic Analysis of Cylindrical Panels by Hyperbolic Heat Conduction
A three-dimensional approach is presented to analyze the thermoelastic behavior of a cylindrical panel subjected to transient heat conduction. First, the hyperbolic heat conduction equations are solved to obtain the temperature (and heat flux) in the spatial and temporal domain using the differential quadrature method (DQM) and Newton-Raphson method, respectively. The obtained temperature distribution is then applied in the three-dimensional thermoelastic equations of the cylindrical panel to obtain displacements and stresses at each time step by solving an eigenvalue problem. Numerical test cases showed that the proposed approach can estimate the temperature and deflection accurately. Although, the accuracy is dependent on the time increment and number of sampling grid points in the spatial and temporal domain of DQM.
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