热环境下大范围运动功能梯度薄板的刚-柔耦合动力学特性

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (18) : 79-88.

论文

王琳杰 1 ，黎亮 1 ，章定国1 ，钱震杰 2

作者信息 +

Rigid-flexible coupling dynamic characteristics of a FGM thin plate undergoing large overall motions in thermal environment

WANG Linjie1，LI Liang1，ZHANG Dingguo1，QIAN Zhenjie2

Author information +

文章历史 +

摘要

基于刚柔耦合动力学及热力学理论，运用第二类拉格朗日方程建立了温度场中做大范围运动FGM薄板的一次近似刚柔耦合模型。采用假设模态法对变形场进行离散并在变形能中计入热应变的影响。分析了不同温度环境和不同体积分数指数等因素对温度场中做大范围运动FGM薄板动力学特性的影响。仿真结果表明：随着温度梯度增大FGM薄板振荡现象更加明显，随着体积分数增大FGM薄板振荡幅值与无量纲固有频率增大。

Abstract

Based on the rigid-flexible coupling dynamics and thermodynamics, the dynamic model of a functional gradient material(FGM) thin plate undergoing large overall motions in thermal environment was proposed via employing Lagrange’s equations of the second kind.The deformation was discretized by the assumed mode method, and the effects of thermal strain were included in the elastic potential energy of the plate.The influences of different temperature environments and different volume fraction exponent of the FGM thin plate in the temperature field were analyzed.The simulation results with the presented dynamic equations show that the FGM plate oscillation phenomenon becomes more obvious as the temperature gradient increases.As the volume fraction increases, the amplitude of the oscillation of the FGM plate and the dimensionless natural frequency increase.

导出引用

王琳杰 1,黎亮 1,章定国1,钱震杰 2. 热环境下大范围运动功能梯度薄板的刚-柔耦合动力学特性[J]. 振动与冲击, 2019, 38(18): 79-88

WANG Linjie1，LI Liang1，ZHANG Dingguo1，QIAN Zhenjie2. Rigid-flexible coupling dynamic characteristics of a FGM thin plate undergoing large overall motions in thermal environment[J]. Journal of Vibration and Shock, 2019, 38(18): 79-88

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