| 王晓明,亢战.基于周期拼装的平面压电作动器结构拓扑优化[J].计算力学学报,2011,28(2):193~199 |
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| 基于周期拼装的平面压电作动器结构拓扑优化 |
| Structural topology optimization of planar piezoelectric actuators with repetitive assembling components |
| 投稿时间：2009-11-09 修订日期：2010-05-06 |
| DOI：10.7511/jslx201102007 |
| 中文关键词: 周期拼装 压电 作动器 拓扑优化 |
| 英文关键词:Repetitive assembling piezoelectric actuator topology optimization |
| 基金项目:国家自然科学基金项目(11072047);973课题(2010CB832703)和863课题(2009AA044501)教育部新世纪优秀人才计划资助. |
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| 中文摘要: |
| 具有狭长形状的压电作动器有利于输出较大的位移,而采用周期拼装方式实现这类结构则具有制造成本相对较低的优点。本文提出了基于周期拼装的平面压电作动器结构拓扑优化设计的数学模型。其中,以位移输出点作功最大化为设计目标,考虑了材料体积和控制能耗约束,对结构基体材料和压电材料的分布以及控制电压的分布进行优化设计。本文给出了结构响应的设计灵敏度分析,并采用基于梯度的数学规划方法对优化问题进行求解。数值算例验证了本文提出的数学模型与算法的可用性和有效性。 |
| 英文摘要: |
| Piezoelectric actuators with large aspect ratio are suitable for delivering large displacements. Assembling this type of actuators by means of repetitive components has the advantage of low manufacturing cost. This paper presents a mathematical model for topology optimization of planar piezoelectric actuators with repetitive components. The design objective is to maximum the work exported at the displacement output port. Constraints with regard to the control energy consumption and the material volume are imposed to the optimization problem. The distributions of the actuation voltage as well as the topologies of both host layers and piezoelectric layers are to be optimized. Numerical techniques for sensitivity analysis of structure response are presented and the proposed optimization problem is solved with a gradient-based mathematical programming approach. Illustrative examples are given to demonstrate the validity and applicability of the proposed approach. |
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