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首页> 外文期刊>Science in China. Series G, Physics, Mechanics & Astronomy >Two-dimensional thermoelasticity solution for functionally graded thick beams
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Two-dimensional thermoelasticity solution for functionally graded thick beams

机译：功能梯度厚梁的二维热弹性解

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摘要

Two-dimensional thermoelasticity analysis of functionally graded thick beams is presented using the state space method coupled with the technique of differential quadrature. Material properties vary continuously and smoothly through the beam thickness, leading to variable coefficients in the state equation derived from the elasticity equations. Approximate laminate model is employed to translate the state equation into the one with constant coefficients in each layer. To avoid numerical instability, joint coupling matrices are introduced according to the continuity conditions at interfaces in the approximate model. The differential quadrature procedure is applied to discretizing the beam in the axial direction to make easy the treatment of arbitrary end conditions. A simply-supported beam with exponentially varying material properties is considered to validate the present method. Numerical examples are performed to investigate the influences of relative parameters.
机译：结合状态空间法和微分求积技术，对功能梯度厚梁进行了二维热弹性分析。材料特性通过梁的厚度连续而平滑地变化，从而导致从弹性方程式得出的状态方程式中具有可变系数。采用近似叠层模型将状态方程转换为每一层中具有恒定系数的方程。为避免数值不稳定，根据近似模型中界面的连续性条件引入了联合耦合矩阵。微分求积法用于使光束沿轴向离散，从而易于处理任意端部条件。考虑了具有指数变化的材料特性的简支梁来验证本方法。通过数值算例研究了相关参数的影响。

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