Integrated Optimization of Material Layout and Control Voltage for Piezoelectric Laminated Plates
Integrated Optimization of Material Layout and Control Voltage for Piezoelectric Laminated Plates
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DOI：
10.1177/1045389x07084527
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发表时间：
2008-08
影响因子：
2.7
通讯作者：
Zhan Kang;Liyong Tong
中科院分区：
文献类型：
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作者：
Zhan Kang;Liyong Tong
拓扑优化技术已成功地应用于压电智能结构的设计。然而，在先前的配方中，材料布局是在给定电致动电压的条件下优化的。这对设计问题施加了限制，因此可能限制这些方法的应用，特别是在复杂的形状控制问题中。研究了压电层合板的结构拓扑和控制电压的综合优化问题。首先介绍了表面粘贴压电材料层合板的有限元分析列式。最优设计问题，然后制定人工材料模型的基础上与惩罚的机械和压电性能。在公式化的问题中，主机和驱动层的拓扑结构同时优化控制电压的空间分布。建议的设计问题的几种特殊情况下被认为是，灵敏度分析和最优解的数值技术。数值算例验证了所提方法的有效性和适用性。
Topology optimization techniques have recently been successfully applied to the design of piezoelectric smart structures. However, in previous formulations, the material layout is optimized under the condition of given electric actuation voltages. This imposes a restriction to the design problem and may consequently limit application of these approaches, particularly in complex shape control problems. The present article investigates the integrated optimization of structural topology and control voltage of piezoelectric laminated plates. The finite element analysis formulation of laminated plates with surface bonded piezoelectric layers is introduced first. The optimal design problem is then formulated based on an artificial material model with penalization for both mechanical and piezoelectric properties. In the formulated problem, the topologies of both host and actuation layers are optimized simultaneously with spatial distribution of control voltage. Several special cases of the proposed design problem are considered, and numerical techniques for sensitivity analysis and optimal solutions are proposed. Numerical examples are presented to demonstrate the validity and applicability of the proposed methods.