摘要
基于适用于含非材料体（non-material volumes）系统的Lagrange方程，采用由无裂纹悬臂梁的模态函数加入分段立方多项式构造的裂纹梁的模态函数，推导出了含裂纹的悬臂输流管道的线性运动方程，最后用Matlab编程进行了数值计算，研究裂纹参数对悬臂输流管道动力特性和颤振特性的影响。结果表明：当固支端附近出现裂纹时，输流管道的颤振临界流速将减小，越靠近固支端，颤振临界流速减小的越多。且随着裂纹深度增加颤振临界流速降低的更加明显。但裂纹离固支端一定位置后时，裂纹的出现将会增大管道的临界流速。另外，裂纹的出现还将导致悬臂输流管道颤振阶数的改变。
Abstract
Based on the extended Lagrange equations for systems containing non-material volumes, the equations of motion for the cracked cantilevered pipe conveying fluid are set up by using the mode functions which satisfy the boundary conditions and geometrical discontinuity conditions obtained by adding polynomial functions to the modal functions of the uncracked beam. The numerical example is utilized to analyze the dynamical performance and flutter characteristic. The calculated results show the critical flow velocity of pipe conveying fluid is descended when the crack is emerged near the clamed end and it is reduced more with the increase the depth of crack. But when crack position is far from the clamed end for certain distance, the critical flow velocity is ascended with the appearance of crack. In addition, the flutter modes of system are changed when the crack is appeared.
关键词
输流管道 /
裂纹 /
颤振 /
临界流速
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Key words
pipe conveying fluid /
crack /
flutter /
critical flow velocity
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叶献辉;蔡逢春;臧峰刚;张毅雄.
含裂纹悬臂输流管道颤振分析[J]. 振动与冲击, 2011, 30(9): 169-173
Ye Xian-hui;Cai Feng-chun;Zang Feng-gang;Zhang Yi-xiong.
Flutter of the cracked cantilevered pipes conveying fluid[J]. Journal of Vibration and Shock, 2011, 30(9): 169-173
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