粘-弹层合悬臂板瞬态响应的近似解析解  

APPROXIMATE ANALYTICAL SOLUTIONA FOR TRANSIENT RESPONSE OF A VISCO-ELASTIC LAMINATED CANTILEVER PLATE

作　　者：毛柳伟[1] 王安稳[1] 胡明勇[1] 

机构地区：[1]海军工程大学理学院,武汉430033

出　　处：《固体力学学报》2010年第4期379-384,共6页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金资助项目(10572150)资助

摘　　要：采用双向梁函数组合级数逼近的方法构造粘-弹层合悬臂板的横向位移函数,用里兹法得悬臂板在集中力作用下的弯曲变形.用拉格朗日方程求出了板自由振动的频率和结构损耗因子;给出粘-弹层合悬臂板在集中力突然撤去以后瞬态响应的近似解析解.另外,分析了阻尼层损耗因子、弹性模量及厚度对响应的影响.The series composed of two-dimension beam mode function is used to approximate the transverse displacement function of a visco-elastic cantilevered plate.The transverse deformation of a visco-elastic plate subjected to a concentrated force is calculated through the Ritz＇s method.By solving the Lagrange＇s equation,the frequencies and model loss factors for free vibration of the plate are obtained,and the transient response of the visco-elastic cantilevered plate,subjected to a sudden withdrawal of the concentrated force,is obtained by using the method of mode superposition.The effects of loss factor,module and thickness of viscoelastic layer on the response are analyzed,too.

关 键 词：粘-弹层合板 悬臂板 瞬态响应 双向梁函数 模态叠加 

分 类 号：O343.4[理学—固体力学]