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.
出处
《应用数学和力学》
CSCD
北大核心
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)
