悬臂梁-质量块结构频率的计算

mhy1983

　　

请教一个问题：
在计算悬臂梁-质量块结构的频率时，总觉得根据李科杰《传感器技术手册》中的计算公式得不出精确的结果(理论计算结果与ansys仿真结果有很大差距)。对于但悬臂梁结构，改变公式中的l(悬臂梁的长度)为L(悬臂梁加1/2质量块长度)，才能与仿真结果比较靠近。但是如果将这个方法运用到双悬臂梁-质量块结构中，结果又会相差较远，请问谁有更为精确的求解方法吗 ?如果，结构为双端双梁、双端四梁或者四端四梁结构，计算公式又是怎样的?
多谢!

欧阳中华

　　建议一篇文章，

　　Forced vibrations of a clamped-free beam with

　　a mass at the free end with an external periodic

　　disturbance acting on the mass with

　　applications in ships’ structures

　　Ocean Engineering 30 (2003) 1065–1077

　　Abstract

　　An exact, analytical solution is obtained for the title problem which constitutes a classical

　　one although no solution is available in well known textbooks and handbooks normally used by

　　the structural engineer in several fields of technology: ocean and naval engineering, aerospace

　　applications, etc. The authors performed this study motivated by a situation where excessive

　　displacements were noticed in a structural element carrying a relatively small motor at the

　　free end and placed at the engine room of a naval vessel. The Bernoulli-Euler model has

　　been employed.

　　可惜我不会将文件上传的方法，自己下载吧......

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mhy1983

谢谢！