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Three dimensional thermoviscoelastic analysis of a simply supported FGM cylindrical panel

机译：简支FGM圆柱板的三维热粘弹性分析

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Based on 3D elasticity theory, thermoviscoelastic analysis of cylindrical panel made by functionally graded materials (FGMs) under thermal and/or mechanical load is carried out. In this investigation Fourier series expansion used along the axial and circumferential coordinate which satisfy simply supported edges boundary conditions and state space method is applied along the radial coordinate. State space governing equations are transformed to Laplace domain and solved analytically. By employing the inverse Laplace, solution is transformed to time domain numerically. In this investigation relaxation modulus of FGM is assumed to obey Prony series with varying according to power law along the radial direction. To assess the validity of the present approach, numerical results are computed and compared to the published results in literature. Moreover, parametric study is performed and effect of relaxation time constant, mid-radius to thickness ratio and length to mid-radius ratio on behavior of viscoelastic cylindrical panel is discussed. (C) 2016 Elsevier Ltd. All rights reserved.
机译：基于3D弹性理论，对功能梯度材料（FGM）制成的圆柱形面板在热和/或机械载荷下的热粘弹性进行了分析。在这项研究中，沿着轴向和圆周坐标使用傅立叶级数展开，这些坐标满足简单支撑的边缘边界条件，并且沿着径向坐标应用状态空间方法。将状态空间控制方程式转换为拉普拉斯域并进行解析求解。通过采用逆拉普拉斯算术，解决方案被数值转换为时域。在这项研究中，假定FGM的松弛模量服从Prony级数，并且沿径向方向根据幂定律而变化。为了评估本方法的有效性，计算了数值结果并将其与文献中发表的结果进行了比较。此外，进行了参数研究，并讨论了弛豫时间常数，中半径与厚度的比率以及长度与中半径的比率对粘弹性圆柱板性能的影响。 （C）2016 Elsevier Ltd.保留所有权利。

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