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首页> 外文期刊>Journal of thermal stresses >Nonlinear thermal stability of eccentrically stiffened FGM double curved shallow shells
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Nonlinear thermal stability of eccentrically stiffened FGM double curved shallow shells

机译：偏心加强的FGM双曲浅壳的非线性热稳定性

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摘要

This article presents analytical solutions for the nonlinear static and dynamic stability of imperfect eccentrically stiffened functionally graded material (FGM) higher order shear deformable double curved shallow shell on elastic foundations in thermal environments. It is assumed that the shell's properties depend on temperature and change according to the power functions of the shell thickness. The shell is reinforced by the eccentrically longitudinal and transversal stiffeners made of full metal. Equilibrium, motion, and compatibility equations are derived using Reddy's higher order shear deformation shell theory and taking into account the effects of initial geometric imperfection and the thermal stress in both the shells and stiffeners. The Galerkin method is applied to determine load-deflection and deflection-time curves. For the dynamical response, motion equations are numerically solved using Runge-Kutta method. The nonlinear dynamic critical buckling loads are found according to the criterion suggested by Budiansky-Roth. The influences of inhomogeneous parameters, dimensional parameters, stiffeners, elastic foundations, initial imperfection, and temperature increment on the nonlinear static and dynamic stability of thick FGM double curved shallow shells are discussed in detail. Results for various problems are included to verify the accuracy and eciency of the approach.
机译：本文提出了在热环境下不理想的偏心加劲功能梯度材料（FGM）高阶剪切可变形双曲浅壳的非线性静态和动态稳定性的解析解决方案。假定壳的性质取决于温度，并根据壳厚度的幂函数而变化。外壳由全金属制成的偏心的纵向和横向加强筋加强。使用Reddy的高阶剪切变形壳理论，并考虑了初始几何缺陷以及壳和加劲肋中的热应力的影响，得出了平衡，运动和相容性方程。应用Galerkin方法确定载荷-挠度和挠度-时间曲线。对于动力响应，使用Runge-Kutta方法对运动方程进行数值求解。根据Budiansky-Roth建议的准则找到非线性动态临界屈曲载荷。详细讨论了非均匀参数，尺寸参数，加劲肋，弹性基础，初始缺陷和温度增量对厚的FGM双曲浅壳非线性静动态稳定性的影响。包括各种问题的结果，以验证该方法的准确性和效率。

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