裂纹梁非线性响应分析  

Analysis of Nonlinear Response of Cracked Beams

作　　者：蔡逢春[1] 张毅雄[1] 王明利[1] 龚君勇 

机构地区：[1]中国核动力研究设计院核反应堆系统设计技术重点实验室,成都610041

出　　处：《核动力工程》2013年第6期43-47,51,共6页Nuclear Power Engineering

摘　　要：基于Lagrange方程建立含裂纹两端铰支空心梁在简谐激励作用下的运动方程。运动方程考虑了几何非线性以及裂纹的张开闭合状态的交替变化。采用数值算法研究含裂纹空心梁在简谐激励作用下的超谐共振、次谐共振,所得结论与已有文献的结论一致。在较大简谐激励幅值条件下,深入探讨几何非线性对含呼吸裂纹梁响应的影响,为空心梁类结构的裂纹识别提供有益参考。Based on the Lagrange＇s equation, the equation of motion for pinned-pinned cracked beam with hollow section is derived. The equation of motion takes account of the geometric nonlinearity and open- ing and closing of the crack. Based on a numerical method, the super- and sub-harmonic resonances are stud- ied when the cracked supported pipes conveying fluid are excited by a harmonic force and the conclusions are the same as the existed researches. Then the effect of the geometric nonlinearity on response of beam with hollow section under harmonic force with large amplitude are further studied. These researches are useful for the cracks detection in the beam with hollow section.

关 键 词：呼吸裂纹 几何非线性 谐激励 

分 类 号：O322[理学—一般力学与力学基础]