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首页> 外文期刊>Journal of thermal stresses >DYNAMIC THERMAL POSTBUCKLING ANALYSIS OF PIEZOELECTRIC FUNCTIONALLY GRADED CYLINDRICAL SHELLS
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DYNAMIC THERMAL POSTBUCKLING ANALYSIS OF PIEZOELECTRIC FUNCTIONALLY GRADED CYLINDRICAL SHELLS

机译:压电功能梯度圆柱壳的动态热屈曲分析

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摘要

Dynamic thermal postbuckling behavior of functionally graded cylindrical shells with surface-bonded piezoelectric actuators subjected to the combined action of thermal load and applied actuator voltage is analyzed using an incremental numerical technique. The shell is graded across the thickness according to a power law form function. The material properties of the functionally graded cylindrical shells are considered to be temperature dependent. The theoretical formulations are based on the classical shell theory with Sanders' nonlinear kinematic relations. Then, using Hamilton's principle, equations of motion are derived for the piezoelectric FGM cylindrical shell. A finite difference based method combined with the Runge-Kutta method is employed to predict the postbuckling equilibrium paths, and the dynamic buckling temperature difference is detected according to Budiansky's stability criterion. Numerical results are presented to demonstrate the effects of the applied actuator voltage, shell geometry, volume fraction exponent of FGM, and the temperature dependency of the material properties on the postbuckling behavior of the shell. The results for simpler states are validated with the known data in the literature.
机译:使用增量数值技术分析了具有表面结合压电致动器的功能梯度圆柱壳在热负荷和施加的致动器电压共同作用下的动态热屈曲行为。外壳根据幂律形式函数在整个厚度上分级。功能梯度圆柱壳的材料性能被认为与温度有关。理论表述基于具有桑德斯非线性运动学关系的经典壳理论。然后,根据汉密尔顿原理,推导出压电FGM圆柱壳的运动方程。采用基于有限差分的方法结合Runge-Kutta方法预测屈曲后的平衡路径,并根据Budiansky的稳定性准则检测动态屈曲温度差。数值结果表明了施加的致动器电压,壳体几何形状,FGM的体积分数指数以及材料特性对壳体后屈曲行为的温度依赖性的影响。使用文献中的已知数据验证了更简单状态的结果。

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