摘要
基于模态分析理论研究了内部有弹性连接和层间流体的双梁结构的耦合振动。按梁的对称模态分别讨论系统的耦合振动,其中对称模态和反对称模态非别采用余弦级数展开,并根据线性叠加原理获得耦合系统的频域响应。给出了结构受单点击激励时的频响函数、固有频率、梁的模态振型以及共振状态下流体中的压力分布,并与有限元分析结果相比较,结果显示两者相当吻合。在此基础上,讨论了弹簧刚度和梁间距对耦合系统振动特性的影响。
Abstract
A theoretical analysis of vibration charateristics was presented for two identical beams couple with beunded fluid and connected by a spring.The couple modes were discussed, respectively,according to the symmetric and antisymmetric modes of a single modes of a single beam.The symmetric modes as well as antisymmetric modes were expanded in terms of finite sine series and cosine series, respectively. Frequency response function(FRFs) of the coupled system were obtained accotding to the principle of linear superposition. FRFs of the sustem subjected to a single-point force excitation, natutal frequencies, moadl shaoes and the pressure distribution in the fluid domain under resonant vibration were given. The results with the ptoposed analytical method were in good agreement with those with the finite element analysis. Moreover, the influence of the spring stiffness as well as the distance between the beams on the vibaration characteristics of the coupled system was simulated.
关键词
流固耦合 /
模态分析 /
级数展开 /
频率响应
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Key words
fluid-strcture interaction /
modal analysis /
series expansion /
frequency response
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李 增;张志谊.
含弹性连接和层间流体的双梁结构的耦合振动分析[J]. 振动与冲击, 2010, 29(7): 189-192
LI Zeng;ZHANG Zhi-yi.
Coupled vibration analysis of a double-beam structure with fluid and elastic connection inside[J]. Journal of Vibration and Shock, 2010, 29(7): 189-192
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