无约束平面框架结构冲击响应分析(Ⅰ)——公式推导  

Analysis on Impact Responses of an Unrestrained Planar Frame Structure(Ⅰ)—Formula Derivation

作　　者：陈镕[1] 郑海涛[1] 薛松涛[1] 唐和生[1] 

机构地区：[1]同济大学结构工程与防灾研究所

出　　处：《应用数学和力学》2005年第11期1314-1322,共9页Applied Mathematics and Mechanics

基　　金：国家杰出青年科学基金资助项目(59925820)

摘　　要：运用广义Fourier级数方法推导了无约束平面框架结构受运动刚体冲击时的瞬态动力响应公式,利用这些公式得到冲击系统动力响应解析解.在公式推导过程中得出结构系统中弹性响应的动量之和为零的结论.从公式推导可以看出,模态分析法同样可以用来解决此类冲击问题.The generalized Fourier-series method was used to derive the impact responses formula of an unrestrained planar frame structure when subjected to an impact of a moving rigid-body. By using these formula, the analytic solutions of dynamic responses of the contact-impact system can be obtained. During the derivation, the momentum sum of elastic responses of the contact-impact system is demonstrated to be zero. From the derivation, it is seen that the modal method can also be used to solve this kind of impact problem.

关 键 词：无约束平面框架结构 冲击响应 刚性响应 弹性响应 

分 类 号：O347.1[理学—固体力学]