Analysis and optimization of multiple tuned mass dampers with coulomb dry friction. (15th April 2020)

• Record Type: Journal Article
• Authors: Kim, Sung-Yong; Lee, Cheol-Ho
• Is Part Of: Engineering structures. Volume 209(2020)
• Publication Date: 2020-04-15
• Subjects: Tuned mass damper -- Multiple tuned mass damper -- Optimization -- Frictional tuned mass damper -- Statistical linearization -- Passive control; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2019.110011
• Languages: English
• ISSNs: 0141-0296

Abstract

Highlights: Investigated the optimal parameters for frictional multiple TMDs. Provided the input sensitivity analysis for FMTMDs. Provided an approximate formula for FMTMD γ τ . Abstract: The optimum design and analysis of frictional multiple tuned mass dampers (FMTMDs) are presented in this study, where Coulomb dry friction is incorporated as an energy dissipation mechanism. To deal with the nonlinearity of the Coulomb dry friction force, which is a source of difficulty in the optimization process, this study adopted a statistical linearization that replaces the original nonlinear system with an equivalent linear system, and found an optimum design that minimized the root mean square (RMS) displacement of the primary structure. The equivalent damping ratio of a tuned mass damper (TMD) unit significantly decreased with the increase in number of TMDs. Four practical configurations were formulated and comparatively analyzed, by constraining the frequency ratios and the coefficient of friction (COF). Among the four investigated cases, a particular solution described using only three parameters is recommended for use in design, because it is simple and sufficiently accurate. We also analyzed the input sensitivity of nonlinear frequency responses of FMTMDs in order to provide general design guidance.