附加质量放在悬臂粱上的不同位置对梁的固有频率的影响一样吗？

bobo0729

在悬臂梁上有个附加质量，请问附加质量放在悬臂粱上的不同位置对梁的固有频率的影响一样吗？谢谢

[此贴子已经被yejet于2006-5-23 21:06:41编辑过]

wyl_cl

系统的固有频率与系统的质量.结构和质量分布有关,附加质量位置不同固有频率会不同.[em04]

欧阳中华

　　随着集中质量从自由端向固定端移动，悬臂梁的一阶固有频率逐渐提高。

　　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

　　D.V. Bambill ∗, S.J. Escanes, C.A. Rossit

　　Department of Engineering, Institute of Applied Mechanics, Universidad Nacional del Sur, 8000 Bahı′a Blanca, Argentina

　　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.

　　 2002 Elsevier Science Ltd. All rights reserved.

　　Keywords: Analytical solution; Ocean and naval engineering; Aerospace applications; Motor; Engine

　　room; Bernoulli-Euler

　　[em05][em05][em05]

suesima

　　

以下是引用欧阳中华在2006-5-20 15:56:11的发言：
随着集中质量从自由端向固定端移动，悬臂梁的一阶固有频率逐渐提高。

对的对的

flybaly

可不可以这样理解，因为w=sqrt(k/m)<BR>质量从自由端到固定端的过程，是柔度减小的过程，因此k越来越大，w也越大

欧阳中华

　　振动的频率取决于系统的质量和刚度，包括其大小和分别;多自由度系统各阶模态频率和振型取决于模态质量和模态刚度。

质量从自由端到固定端的过程，是模态质量减小的过程，因此频率越来越大... ...


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