Vibration control of a nonlinear beam with a nonlinear energy sink

Vibration control of a nonlinear beam with a nonlinear energy sink
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DOI:
10.1007/s11071-015-2304-x
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发表时间:
2016
期刊:
影响因子:
5.6
通讯作者:
M. Kani;S. E. Khadem;M. Pashaei;M. Dardel
M. Kani;S. E. Khadem;M. Pashaei;M. Dardel
中科院分区:
工程技术2区
文献类型:
--
作者:
M. Kani;S. E. Khadem;M. Pashaei;M. Dardel

文献摘要

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研究了从非线性连续系统到非线性能量汇(内斯)的目标能量转移问题。为此,利用Rayleigh-Ritz法和拉格朗日方程,推导出了两端简支的非线性梁在附加内斯后的动力学方程。然后,内斯的参数优化的灵敏度分析和粒子群优化(PSO)方法。用复化平均法分析了非线性光束与内斯之间的能量传递。将内斯附加到非线性连续系统上,并利用粒子群算法来获得内斯的最优参数,是本文的一个新发展。此外,在这里,一个以上的模式的光束已被认为是用于分析之间的能量传递的内斯和不同模式的主系统。
In this paper, targeted energy transfer from a nonlinear continuous system to a nonlinear energy sink (NES) is investigated. For this purpose, the equation of a nonlinear beam with simply supported ends, on which the NES is attached, is derived using Rayleigh–Ritz method and the Lagrange equation. Then, parameters of the NES are optimized by both sensitivity analysis and particle swarm optimization (PSO) method. Analysis of the energy transfer between the nonlinear beam and the NES is presented, using the complexification-averaging method, too. Attaching an NES to a nonlinear continuous system and using the PSO method to obtain the optimized parameters of the NES is a new development, presented in this work. Also, here, more than one mode of the beam has been considered for analysis of energy transfer between the NES and different modes of the primary system.