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损伤对粘弹性板非线性动力学行为的影响
EFFECT OF DAMAGE ON NONLINEAR DYNAMIC BEHAVIORS OF VISCOELASTIC PLATES*T
【Author】 Zheng Yu-fang Fu Yi-ming (Dept. of Engineering Mechanics, Hunan University, Changsha, 410082)
【机构】 湖南大学工程力学系;
【摘要】 研究了含损伤缺陷的粘弹性矩形板在横向周期激励下,损伤对粘弹性板非线性动力学行为的影响。基于Von Karman板理论和Boltzmann线性叠加原理,建立了以中面位移表示的含损伤粘弹性板的非线性控制方程。具体讨论了损伤程度和损伤中心位置对粘弹性板动力学行为的影响。研究结果为结构动力稳定性设计和结构无损检测提供了理论依据。
【Abstract】 In this paper, the effect of damage on the nonlinear dynamic behaviors of damaged viscoelastic thin plates with a transverse periodic excitation is studied. By using the Von Karman thin plate theory and Boltzmann superposition principle, the nonlinear equations of viscoelastic thin plate with damage are derived and denoted by the mid-plane displacements. In numerical results, the effects of the damage extent and damage position on the structure are discussed. Present research results will provide theoretical basis for the design of dynamic stability and nondestructive testing of structures.
【Key words】 damage; viscoelastic plates; nonlinearity; dynamic stability;
- 【会议录名称】 第七届全国非线性动力学学术会议和第九届全国非线性振动学术会议论文集
- 【会议名称】第七届全国非线性动力学学术会议和第九届全国非线性振动学术会议
- 【会议时间】2004-10
- 【会议地点】中国江苏南京
- 【分类号】O345
- 【主办单位】中国动力工程学会