压电智能结构拓扑优化研究进展  

Advances in Topology Optimization of Piezoelectric Smart Structures

作　　者：林晔 张晓鹏[2] 胡骏 亢战[2] Ye Lin;Xiaopeng Zhang;Jun Hu;Zhan Kang(Beijing Institute of Aerospace Technology,Beijing,100074;State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian,116024)

机构地区：[1]北京空天技术研究所,北京100074 [2]大连理工大学工业装备结构分析国家重点实验室,大连116024

出　　处：《固体力学学报》2020年第5期391-408,共18页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(11872140)资助。

摘　　要：压电材料因其变形精度高、反应速度快、易于制作成小型化元件已经被广泛应用于精密驱动、振动控制、精确定位等领域.改变压电智能结构中压电元器件的位置、大小、形状等参数能够有效地改善系统的力学性能,因而吸引了许多学者和工程师的关注和研究.拓扑优化作为有效的优化工具,已经成功应用于压电智能结构的优化设计中.论文首先阐述了压电智能结构拓扑优化的背景和意义,简要回顾了压电智能结构主动控制及分析方法,并综述了面向结构静变形控制的压电智能结构优化、面向振动控制的压电智能结构优化、压电俘能器的设计与优化等三个方面的研究进展.最后,简单归纳压电智能结构拓扑优化研究中值得关注的几个问题.Piezoelectric materials have been widely used in precise driving, vibration control, precise positioning, and other fields due to their high deformation accuracy, fast response, and easy fabrication into miniaturized devices. In the engineering field, piezoelectric materials have been used as common functional materials for sensors and actuators in the design of various intelligent structures, such as vibration control of large-scale flexible structures. Changing the position, size, and shape of piezoelectric components in piezoelectric smart structures can effectively improve the mechanical properties of the system, which has attracted the attention and research of many scholars and engineers. Topology optimization, as a powerful automated design tool, has been successfully applied to the optimization design of piezoelectric smart structures. In this review, the research background and significance of the topology optimization of piezoelectric smart structures are firstly surveyed, and the analysis and active control methods of piezoelectric smart structures are then briefly outlined. Afterwards, recent advances are systematically reviewed in the optimization of piezoelectric smart structures for static deformation control and vibration control, and the design and optimization of piezoelectric energy harvesting devices. In the optimization of piezoelectric smart structures for static deformation control, the piezoelectric material interpolation model and objective function are firstly introduced, and the progress of optimization research on static deformation structure of piezoelectric structure and load-bearing structure with embedded piezoelectric components is then reviewed. In the optimization of piezoelectric smart structures for vibration control, recent research progresses in dynamic optimization problem formulation, objective function at multiple excitation frequencies, sensitivity analysis, and stability of vibration control performance under different actuator layouts are introduced. In the design and

关 键 词：拓扑优化 压电材料 智能结构 主动控制 结构优化 

分 类 号：TN384[电子电信—物理电子学] TB34[一般工业技术—材料科学与工程]