Nonlinear dynamic analysis and vibration of eccentrically stiffened S-FGM elliptical cylindrical shells surrounded on elastic foundations in thermal environments
Nonlinear dynamic analysis and vibration of eccentrically stiffened S-FGM elliptical cylindrical shells surrounded on elastic foundations in thermal environments
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DOI：
10.1016/j.tws.2017.04.013
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发表时间：
2017-08
影响因子：
6.4
通讯作者：
N. D. Duc;P. D. Nguyen;Nguyen Dinh Khoa
中科院分区：
文献类型：
--
作者：
N. D. Duc;P. D. Nguyen;Nguyen Dinh Khoa
椭圆柱壳是一种特殊形状的壳体。功能梯度材料椭圆柱壳的振动和动力特性至今未见文献报道。因此，本研究的目的是研究非理想偏心刚度功能梯度椭圆柱壳的非线性动力响应和振动的经典壳理论（CST）和Airy应力函数方法与运动方程，使用Volmir的假设。材料性质被假定为是温度依赖的，并且根据S形幂律分布（S-FGM）在厚度方向上分级。S-FGM椭圆柱壳为金属-陶瓷-金属复合材料层，壳外加金属加强筋。假设S-FGM椭圆壳和金属加劲肋均处于热环境中，两者同时受温度作用而变形。考虑了两种热载荷情况（均匀温升和厚度方向的温度变化）。采用Galerkin法和Runge-Kutta法求解了非线性运动方程（非线性动力响应、固有频率）。研究了椭圆柱壳的几何参数、材料特性、弹性地基、非线性动力分析和非线性振动的影响。通过与文献结果的比较，验证了所得结果的正确性.
Elliptical cylindrical shell is one of shells with special shape. Up to date, there is no publication on vibration and dynamic of functionally graded elliptical cylindrical shells. Therefore, the purpose of the present study is to investigate the nonlinear dynamic response and vibration of imperfect eccentrically stiffness functionally graded elliptical cylindrical shells on elastic foundations using both the classical shell theory (CST) and Airy stress functions method with motion equations using Volmir's assumption. The material properties are assumed to be temperature - dependent and graded in the thickness direction according to a Sigmoid power law distribution (S-FGM). The S-FGM elliptical cylindrical shell with metal-ceramic-metal layers are reinforced by outside metal stiffeners. Both the S-FGM elliptical shell and metal stiffeners are assumed to be in thermal environment and both of them are deformed under temperature simultaneously. Two cases of thermal loading (uniform temperature rise and temperature variation through thickness) are considered. The nonlinear motion equations are solved by Galerkin method and Runge-Kutta method (nonlinear dynamic response, natural frequencies). The effects of geometrical parameters, material properties, elastic foundations Winkler and Pasternak, the nonlinear dynamic analysis and nonlinear vibration of the elliptical cylindrical shells are studied. The some obtained results are validated by comparing with those in the literature.