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失调结构的模态分析

MODE ANALYSIS FOR MISTUNED STRUCTURES

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【作者】 罗惟德王皓

【Author】 Luo Weide, Wang Hao (Department of Applied Mechanics)

【机构】 复旦大学应用力学系复旦大学应用力学系

【摘要】 研究失调并具有内耦合结构的模态分析问题,作出了耦合双摆在参数平面上的特征曲面.引入无量纲化耦合度R和失调度△的概念,建立了(R,△)参数平面,以带有叶片的圆盘为算例,得到了频率轨迹曲线.根据结构在(R,△)参数平面上的位置对模态局部化现象作出预估,并对宜采用的计算方法进行了讨论.对弱耦合条件下失调单摆链的模态给出了分析表示式.

【Abstract】 In this paper an investigation of modal analysis for disordered periodic or nearly periodic structures is presented. An eigenvalue surface is determined for coupled pendulums with two parameters. For general complex continuous structures, the (R,Δ) parameter plane is established, where R and Δ are the coupling value and mistuning value respectively. A mistuned assembly of bladed dise is studied as an example. It is proposed that one can predict the occurrence of mode localization by studying the position of the structure in the (R, Δ) plane. A discussion is also given to a proper computation method of modal analysis for disordered coupled structures, An analytical solution for modes of mistuned pendulums-chain under the weak coupling condition is shown.

【关键词】 局部化耦合失调参数平面
【Key words】 localizationcouplingmistuningparameter plane
  • 【文献出处】 复旦学报(自然科学版) ,Journal of Fudan University , 编辑部邮箱 ,1992年03期
  • 【被引频次】10
  • 【下载频次】64
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