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Nonlinear thermomechanical vibration mitigation analysis in rotating fractional-order viscoelastic bidirectional FG annular disks under nonuniform shocks
Journal of Thermal Stresses ( IF 2.6 ) Pub Date : 2020-04-27 , DOI: 10.1080/01495739.2020.1748555
R. Mohammadjani 1 , M. Shariyat 1
Affiliation  

Abstract The current article is concerned with the investigation of the formation of the time-dependent three-dimensional distributions and redistributions of the stress and displacement fields of the rotating annular and circular plates/disks under the nonuniform distributions of the dynamic thermomechanical loads or shocks. Redistribution of the stress and displacement fields happens due to the Gerasimov-Caputo-type relaxation kernel of the fractional viscoelastic model of the material in addition to the dynamic nature of the loading. All the mechanical and thermal material properties of the plate or disk may be tailored in both radial and transverse directions. The 3D thermoviscoelasticity theory is employed to develop the governing equations of motion (3D vibration) and heat transfer. Different thermal and mechanical boundary conditions are implemented. The resulting nonlinear time-dependent fractional-order thermoviscoelastic integro-differential equations are solved by proposing and implementing a special procedure that uses numerical evaluation of the singular-kernel Caputo-integral and second-order forward, backward, and central discretization of the spatial and time domains. Eventually, the influences of the bidirectional distribution of the material properties, 2D temperature distribution, fractional order and parameters of the viscoelasticity model, and thermomechanical boundary conditions are investigated on the distributions of the displacement and stress components rigorously and accompanied by 3D demonstrations.

中文翻译:

非均匀冲击下旋转分数阶粘弹性双向 FG 环形盘的非线性热机械减振分析

摘要 当前文章关注动态热机械载荷或冲击的非均匀分布下旋转环形和圆形板/盘的应力和位移场的时间相关三维分布和重新分布的形成研究。应力和位移场的重新分布是由于材料的分数粘弹性模型的 Gerasimov-Caputo 型松弛核以及载荷的动态特性而发生的。板或盘的所有机械和热材料特性都可以在径向和横向上进行调整。3D 热粘弹性理论用于开发运动(3D 振动)和热传递的控制方程。实现了不同的热和机械边界条件。通过提出和实施一种特殊程序,该程序使用奇异核 Caputo 积分和空间和空间的二阶前向、后向和中心离散化的数值评估来求解所得的非线性时间相关分数阶热粘弹性积分微分方程。时域。最后,严格研究了材料特性的双向分布、二维温度分布、粘弹性模型的分数阶和参数以及热机械边界条件对位移和应力分量分布的影响,并伴有3D演示。通过提出和实施一种特殊程序,该程序使用奇异核 Caputo 积分和空间和空间的二阶前向、后向和中心离散化的数值评估来求解所得的非线性时间相关分数阶热粘弹性积分微分方程。时域。最后,严格研究了材料特性的双向分布、二维温度分布、粘弹性模型的分数阶和参数以及热机械边界条件对位移和应力分量分布的影响,并伴有3D演示。通过提出和实施一种特殊程序,该程序使用奇异核 Caputo 积分和空间和空间的二阶前向、后向和中心离散化的数值评估来求解所得的非线性时间相关分数阶热粘弹性积分微分方程。时域。最后,严格研究了材料特性的双向分布、二维温度分布、粘弹性模型的分数阶和参数以及热机械边界条件对位移和应力分量分布的影响,并伴有3D演示。以及空间和时间域的中心离散化。最后,严格研究材料特性的双向分布、二维温度分布、粘弹性模型的分数阶和参数以及热机械边界条件对位移和应力分量分布的影响,并伴有3D演示。以及空间和时间域的中心离散化。最后,严格研究了材料特性的双向分布、二维温度分布、粘弹性模型的分数阶和参数以及热机械边界条件对位移和应力分量分布的影响,并伴有3D演示。
更新日期:2020-04-27
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