用第二类Fredholm积分方程求解弹性半空间上弹性板的垂直振动  

Using Fredholm Integral Equation of the Second Kind to Solve the Vertical Vibration of Elastic Plate on an Elastic Half Space

作　　者：金波[1] 

机构地区：[1]同济大学结构理论研究所

出　　处：《应用数学和力学》1998年第2期145-150,共6页Applied Mathematics and Mechanics

摘　　要：根据混合边值条件，建立均布简谐荷载作用下弹性半空间上弹性板振动的对偶积分方程·用Ａｂｅｌ变换化对偶积分方程为第二类Ｆｒｅｄｈｏｌｍ积分方程，并进行了数值计算·The dual integral equations of vertical forced vibration of elastic plate on an elastic half space subject to harmonic uniform distribution loading are established according to the mixed boundary value condition.By applying Abel transformation the dual integral equations are reduced to Fredholm integral equation of the second kind which is solved numerically.

关 键 词：弹性半空间 弹性板 动力响应 积分方程 垂直振动 

分 类 号：O326[理学—一般力学与力学基础] O175.5[理学—力学]