Optimal placement and tuning of multiple tuned mass dampers for suppressing multi-mode structural response

作     者：Warnitchai, P Hoang, N 

作者机构：Asian Inst Technol Sch Civil Engn Pathum Thani 12120 Thailand Univ Tokyo Dept Civil Engn Bunkyo Ku Tokyo 1138656 Japan 

出 版 物：《SMART STRUCTURES AND SYSTEMS》 (智能结构与系统)

年 卷 期：2006年第2卷第1期

页      面：1-24页

核心收录：

学科分类：08[工学] 0804[工学-仪器科学与技术] 0802[工学-机械工程] 0813[工学-建筑学] 0814[工学-土木工程] 

主　　题：multiple tuned mass dampers optimal design robustness design closely-spaced natural frequencies structures nonlinear programming 

摘      要：The optimal design of multiple tuned mass dampers (multiple TMD s) to suppress multi-mode structural response of beams and floor structures was investigated. A new method using a numerical optimizer, which can effectively handle a large number of design variables, was employed to search for both optimal placement and tuning of TMD s for these structures under wide-band loading. The first design problem considered was vibration control of a simple beam using 10 TMD s. The results confirmed that for structures with widely-spaced natural frequencies, multiple TMD s can be adequately designed by treating each structural vibration mode as an equivalent SDOF system. Next, the control of a beam structure with two closely-spaced natural frequencies was investigated. The results showed that the most effective multiple TMD s have their natural frequencies distributed over a range covering the two controlled structural frequencies and have low damping ratios. Moreover, a single TMD can also be made effective in controlling two modes with closely spaced frequencies by a newly identified control mechanism, but the effectiveness can be greatly impaired when the loading position changes. Finally, a realistic problem of a large floor structure with 5 closely spaced frequencies was presented. The acceleration responses at 5 positions on the floor excited by 3) wide-band forces were simultaneously suppressed using 10 TMD s. The obtained multiple TMD s were shown to be very effective and robust.