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旋转压电体的广义压电热弹耦合问题的有限元法
Finite Element Method Applied to the Generalized Piezoelectric-thermoelastic Problem of a Rotating Thick Piezoelectric Plate
【摘要】 基于具有2个热松弛时间的Green和Lindsay(G-L)广义热弹性理论,研究了无限大旋转厚压电板在上下表面受到条带状热冲击时的广义压电热弹性问题.为避免采用积分变换法求解带来精度降低问题,采用有限元法在时间域内对控制方程直接进行求解,得到了压电板在热冲击作用下的无量纲温度、无量纲位移、无量纲应力及无量纲电势等的变化规律.结果表明,对控制方程在时域内直接求解获得了很高的计算精度.同时,随旋转效应增大,位移、电势的幅值有明显降低,而旋转效应对温度和应力几乎没有影响.
【Abstract】 Based on the generalized thermoelastic theory postulated by Green and Lindsay(G-L),the dynamic response of an infinite rotating piezoelectric plate subject to thermal shocks on both up and bottom surfaces was investigated.To avoid the calculation precision loss caused by the integral transform technique,the so-called direct finite element method was used to solve the constitutive equations in time domain directly.The distributions of the dimensionless temperature,stress,displacement and electric potential were presented graphically.The results show that the direct finite element method provides an effective way for achieving high calculation precision in solving the generalized piezoelectric-thermoelastic problem.They also show that the rotation effect tends to decrease the dimensionless displacement and electric potential and barely affects the dimensionless temperature and stress.
【Key words】 infinite piezoelectric plate; generalized thermoelastic theory; rotation effect; finite element method;
- 【文献出处】 甘肃科学学报 ,Journal of Gansu Sciences , 编辑部邮箱 ,2011年03期
- 【分类号】O343.6
- 【被引频次】4
- 【下载频次】57