The formulation of a refined hybrid enhanced assumed strain solid shell element and its application to model smart structures containing distributed piezoelectric sensors/actuators
The formulation of a refined hybrid enhanced assumed strain solid shell element and its application to model smart structures containing distributed piezoelectric sensors/actuators
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DOI：
10.1088/0964-1726/13/4/n02
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发表时间：
2004
影响因子：
4.1
通讯作者：
Shijie Zheng;Xinwei Wang;Wanji Chen
中科院分区：
文献类型：
--
作者：
Shijie Zheng;Xinwei Wang;Wanji Chen
本文提出了一种新的改进的混合压电单元列式，用于粘贴压电传感器和致动器的层合结构的力学分析和振动主动控制。通过引入电场势方程，提出了一种处理机电耦合效应的“拟解耦”方法，并提出了一种具有较弱单元间连续性条件的修正广义变分原理。在此泛函的基础上，通过引入正交插值方法和增强型假定应变（EAS）模式，建立了精化混合压电元法的一般公式。在厚度方向上采用线性分布的横向EAS，以克服固体壳单元的厚度锁定。与传统的非协调块体单元法相比，该方法具有可靠性高、精度高、计算量小等优点，可用于薄板和薄壳结构的动力响应分析。
In the present paper, a novel refined hybrid piezoelectric element formulation is developed for mechanical analysis and active vibration control of laminated structures bonded to piezoelectric sensors and actuators. By invoking the electrical field potential equation, a ‘quasi-decoupling’ method for treating the coupling electromechanical effects is presented and a modified generalized variational principle with a weaker interelement continuity condition is proposed. On the basis of this functional, a general formulation for a refined hybrid piezoelectric element method is established by incorporating an orthogonal interpolation approach and enhanced assumed strain (EAS) modes. A linearly distributed transverse EAS in the thickness direction is adopted to overcome the thickness locking of solid shell elements. Compared with the conventional incompatible brick element approach, the present formulation is very reliable, more accurate, computationally efficient and can be used to model the response of thin plates and shell structures.