A Topology Optimization Problem in Control of Structures Using Modal Disparity

A Topology Optimization Problem in Control of Structures Using Modal Disparity
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利用模态差异控制结构的拓扑优化问题

DOI:
10.1115/detc2005-84761
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发表时间:
2006
期刊:
--
影响因子:
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通讯作者:
R. Mukherjee
R. Mukherjee
中科院分区:
--
文献类型:
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作者:
A. Diaz;R. Mukherjee

文献摘要

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为了发展柔性结构振动控制的新方法,本文引入模态差异的概念,研究了使模态差异最大化的拓扑优化问题。结构中的模态差异是由改变结构刚度的力的施加产生的,并且拓扑优化问题确定施加这些力的最佳位置。当力被打开和关闭时,结果,结构在两个刚度状态之间切换,模态差异导致振动能量从一组非受控模式转移到一组受控模式。这使得结构的振动通过从一小组受控模式中去除能量而被完全衰减。仿真结果展示了利用模态差异控制两个桁架结构的振动。版权所有© 2005年由ASME
Towards the goal of developing a new methodology for control of vibration in flexible structures, this paper introduces the concept of modal disparity and addresses the topology optimization problem for maximizing the disparity. The modal disparity in a structure is generated by the application of forces that vary the stiffness of the structure and a topology optimization problem determines the best locations for application of these forces. When the forces are switched on and off and, as a result, the structure is switched between two stiffness states, modal disparity results in vibration energy being transferred from a set of uncontrolled modes to a set of controlled modes. This allows the vibration of the structure to be completely attenuated by removing energy from the small set of controlled modes. Simulation results are presented to demonstrate control of vibration in two truss-like structures exploiting modal disparity.Copyright © 2005 by ASME