Two-dimensional in-plane free vibrations of functionally graded circular arches with temperature-dependent properties
Two-dimensional in-plane free vibrations of functionally graded circular arches with temperature-dependent properties
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DOI：
10.1016/j.compstruct.2009.04.034
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发表时间：
2009-11
影响因子：
6.3
通讯作者：
P. Malekzadeh
中科院分区：
文献类型：
--
作者：
P. Malekzadeh
本文研究了热环境初始应力作用下功能梯度厚圆拱的面内自由振动问题。该公式是基于二维弹性理论。材料的性能被假定为是温度依赖性和梯度的厚度方向。考虑热环境效应，利用汉密尔顿原理推导了系统的运动方程。通过求解二维热弹性平衡方程得到初始热应力。两种类型的温度上升，均匀和可变的厚度，被认为是。采用微分求积法（DQM）求解平衡方程和运动方程。通过与文献中各向同性拱的极限情况下的结果进行比较，验证了该制剂。研究了温升、材料和几何参数对结构固有频率的影响。新的结果可以作为基准解决方案，为未来的研究。
In this paper, the in-plane free vibration analysis of functionally graded (FG) thick circular arches subjected to initial stresses due to thermal environment is studied. The formulations are based on the two-dimensional elasticity theory. The material properties are assumed to be temperature-dependent and graded in the thickness direction. Considering the thermal environment effects, the equations of motion are derived using the Hamilton’s principle. The initial thermal stresses are obtained by solving the two-dimensional thermoelastic equilibrium equations. Two types of temperature rise, uniform and variable through the thickness, is considered. Differential quadrature method (DQM) is adopted to solve the equilibrium equations and the equations of motion. The formulations are validated by comparing the results in the limit cases with those available in the literature for isotropic arches. The effects of temperature rise, material and geometrical parameters on the natural frequencies are investigated. The new results can be used as benchmark solutions for future researches.