000004483 001__ 4483
000004483 005__ 20141118192659.0
000004483 0177_ $$2doi$$a10.3850/978-981-07-2219-7_P129

000004483 0247_ $$210.3850/978-981-07-2219-7_P129
$$adoi
000004483 04107 $$aeng
000004483 046__ $$k2012-05-23
000004483 100__ $$aAnh, N.D.
000004483 24500 $$aDesign of TMD for Damped Linear Systems

000004483 24630 $$n5.$$pProceedings of the 5th Asian-Pacific Symposium on Structural Reliability and its Applications
000004483 260__ $$bResearch Publishing, No:83 Genting Lane, #08-01, Genting Building, 349568 SINGAPORE
000004483 506__ $$arestricted
000004483 520__ $$2eng$$aHistorically, an auxiliary mass-spring-damper control system attached to a primary structure was known as vibration absorber, tuned mass damper (TMD), or dynamic vibration absorber (DVA). In case of undamped primary structures, the first invented TMDhad no damping element and itwas only useful in a narrowrange of frequencies very close to the natural frequency of TMD. Ormondroyd and Den Hartog found that the TMD with viscous damper was effective to an extended range of frequencies. The damped TMD proposed by Den Hartog is now known as the Voigt type TMD where a spring element and a viscous element are arranged in parallel, and is has been considered as a standard model of TMD. Since then, there have been many optimization criteria given to design of TMD for undamped primary structures. Three typical optimization criteria are (1) H<sub>∞</sub> optimization (or fixed-points theory), (2) H<sub>2</sub> optimization, and (3) Stability maximization, and up to this time, all optimization criteria have been already solved analytically. In case of damped primary structure, it is difficult to obtain analytical solutions for the optimum parameters of the TMD. And there have been only either numerical methods or approximate analytical solutions for optimal parameters of TMD so far.
 In this report, two closed-form expressions for optimal tuning ratio of TMD are proposed. These results are obtained based on the equivalent linearization method with conventional criterion and dual criterion suggested by Anh, where the damped primary system is replaced equivalently by an undamped system and then we use the known results for the undamped system to give the expressions of optimal tuning ratio. The solutions proposed in the present study are validated by comparing with the results given by numerical method and by other authors. The comparisons have justified the significant accuracy of the proposed expressions for both small and large structural dampings.

000004483 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004483 653__ $$aTMD, Equivalent linearization method, Damped structure, Dual criterion, Closed-form solution, Equivalent undamped structure.

000004483 7112_ $$a5th Asian-Pacific Symposium on Structural Reliability and its Applications$$cSingapore (SG)$$d2012-05-23 / 2012-05-25$$gAPSSRA2012
000004483 720__ $$aAnh, N.D.$$iNguyen, N.X.
000004483 8560_ $$ffischerc@itam.cas.cz
000004483 8564_ $$s261257$$uhttps://invenio.itam.cas.cz/record/4483/files/P129.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004483 962__ $$r4180
000004483 980__ $$aPAPER