具损伤压电弹塑性层合结构的非线性振动及其主动控制

项目名称： 具损伤压电弹塑性层合结构的非线性振动及其主动控制

项目编号： No.10872066

项目类型： 面上项目

立项/批准年度： 2009

项目学科： 金属学与金属工艺

项目作者： 傅衣铭

作者单位： 湖南大学

项目金额： 40万元

中文摘要： 本项目以损伤压电弹塑性层合板壳结构为研究对象，基于连续介质损伤力学、弹塑性力学、压电理论、复合材料板壳力学和结构非线性动力学，综合考虑压电效应、损伤效应、横向剪切效应、结构几何非线性、材料物理非线性等因素的影响，建立了正交各向异性损伤材料的广义混合硬化屈服准则，层内弹塑性损伤与层间界面损伤的本构关系及相应的损伤演化方程；建立了具损伤压电弹塑性层合结构的非线性静动力学控制方程，低速冲击下具损伤弹塑性层合结构的非线性冲击动力学控制方程，湿热条件下压电弹塑性层合结构疲劳脱层扩展的非线性动力学控制方程；基于反馈控制理论，建立了具损伤压电弹塑性层合结构的非线性反馈控制系统，实现了对弹塑性层合结构非线性动力学行为的主动控制。在以上工作的基础上，系统研究了具损伤压电弹塑性层合板壳结构的屈曲、后屈曲、非线性动力响应、非线性振动主动控制、疲劳脱层扩展等问题；讨论了损伤效应、压电效应、材料性质、结构几何参数、不同载荷形式等对压电弹塑性层合结构非线性静动力学行为的影响，揭示了该类结构的若干非线性静动力学本质特征和失效机理。本项目的研究成果丰富和发展了损伤力学和智能结构非线性静动力学，达到了预期的研究目标。

中文关键词： 压电弹塑性层合结构；损伤效应；非线性力学性能；振动主动控制

英文摘要： In this project, the damaged piezoelectric elasto-plastic laminated plates and shells are mainly considered as the research subject. Based on continuum damage theory, elasto-plastic theory, piezoelectric theory, composite plate/shell theory and structural nonlinear dynamic theory, the generalized mixed hardening yield criterion for anisotropic damaged materials is established, and then the constitutive relations for the elasto-plastic material with in-plane damage and interfacial damage are established as well as the corresponding damage evolution relations. And subsequently, nonlinear static/dynamic control equations for the following research structures are established, the damaged piezoelectric elasto-plastic laminated structures, the damaged elasto-plastic laminated structures and the elasto-plastic piezoelectric laminated structure in hygrothermal environment with consideration of fatigue delamination propagation. The nonlinear feedback control system of the damaged piezoelectric elasto-plastic laminated structures are established basing on the feedback control theory and consequently realized the adaptive vibration control of the piezoelectric elasto-plastic laminated structures. On the basis of above works, the buckling, post-buckling, nonlinear dynamic response, nonlinear active control and fatigue delamination propagation of damaged piezoelectric elasto-plastic laminated plates/shells are investigated systematically. And effects of damage effect, piezoelectric effect, material property, geometrical parameters and the load forms on nonlinear static/dynamic properties of the laminated structures are discussed, which reveal some fundamental characters of static/dynamic properties and damage mechanism of piezoelectric elasto-plastic laminated structures. The achievements obtained in this project enrich and develop the damage mechanics and nonlinear static/dynamic mechanics of smart structures. So the expected research goals of this project have been achieved satisfactorily.

英文关键词： piezoelectric elasto-plastic laminated structures; damage effect; nonlinear mechanical property; active vibration control