Optimal control of random vibration in plate and shell structures with distributed piezoelectric components
Optimal control of random vibration in plate and shell structures with distributed piezoelectric components
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DOI：
10.1016/j.ijmecsci.2007.03.015
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发表时间：
2007-12
影响因子：
7.3
通讯作者：
C. To;Tao Chen
中科院分区：
文献类型：
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作者：
C. To;Tao Chen
将Skelton等人的状态协方差分配（SCA）方法推广到非平稳随机激励下具有分布压电元件的大型复杂壳结构的最优随机振动控制。它为实现在许多工程系统设计中常见的均方根（RMS）值所规定的性能目标提供了直接的方法。本文提出了一种基于混合应变或混合公式的低阶三角形壳单元有限元方法，用于模拟具有复杂几何构型的分布压电元件的大型壳结构。每个壳单元有三个节点。每个节点有7个自由度，包括3个平移自由度、3个旋转自由度和1个电势自由度。这些单元是基于位移公式和真正的混合应变公式的更好的替代品，因为它们消除了通常与基于位移的低阶壳有限元相关的锁定问题。计算结果表明，该方法具有简单易行的优点和实现效率高的优点。
The state covariance assignment (SCA) method of Skelton and associates has been extended to the optimal random vibration control of large-scale complicated shell structures with distributed piezoelectric components and under nonstationary random excitations. It provides a direct approach for achieving performance goals stated in terms of the root-mean-square (RMS) values which are common in many engineering system designs. The large-scale shell structures with distributed piezoelectric components of complicated geometrical configurations are approximated by the hybrid strain or mixed formulation based lower order triangular shell finite elements developed in the present investigation. Each of these shell finite elements has three nodes. Every node has seven degrees of freedom (dof) which include three translational, three rotational and one electric potential dof. These elements are better alternatives to those based on the displacement formulation and that hinged on the truly hybrid strain formulation in that they eliminate locking problems commonly associated with displacement based lower order shell finite elements. Computed results applying the proposed approach for a plate and a cylindrical shell structures with distributed piezoelectric components and under stationary random excitations are included to demonstrate its simplicity of use and efficiency of implementing the proposed approach.