充液压电阻尼圆柱壳的有限元建模

Finite element modeling of a fluid-filled cylindrical shell with piezoelectric damping

基于M ind lin板理论、压电理论、粘弹性理论和理想流体方程,对充液圆柱壳主动约束阻尼结构在流固耦合条件下的建模进行了研究。利用拉格朗日方法得到结构的动力学方程,利用GHM方法描述粘弹性阻尼的本构关系,结合流体方程建立主动约束阻尼结构在流固耦合条件下的动力学方程。建立从压电材料的电压到流固耦合边界下的圆柱壳结构振动的频响函数,利用实验结果对理论计算加以验证,结果表明该建模方法是可行的。

Based on the theories of Mindlin plate, piezoelectricity and viscoelastic materials and fluid dynamics, the finite ele ment modeling of a fluid-filled cylindrical with piezoelectric damping is presented in this paper. According to the piezoelectricity theory and Lagrange equation, the dynamic equations of the cylindrical with piezoelectric damping are derived at first. In the modeling of VEM, the GHM is adopted. In combination with the wave equation, vibration equations of the fluid-filled cylindrical with piezoelectric damping are established. The results of numerical .simulation and experiment are compared, which shows that the proposed modeling method is accurate and reliable.