Influence of tuned mass damper on fixed-free 3D nonlinear beam embedded in nonlinear elastic foundation

doi:10.1007/s11012-016-0372-8

機構典藏 > College of Engineering > Graduate Institute & Department of Aerospace Engineering > Journal Article > Item 987654321/107045

Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/107045

Title:	Influence of tuned mass damper on fixed-free 3D nonlinear beam embedded in nonlinear elastic foundation
Authors:	Yi-Ren Wang;Shu-Chien Tu
Keywords:	Tuned mass damper;Vibration reduction;Nonlinear vibrations
Date:	2016-10
Issue Date:	2016-08-15
Publisher:	Springer Netherlands
Abstract:	This study investigated the damping effects of a tuned mass damper (TMD) on a fixed-free 3D nonlinear beam resting on a nonlinear elastic foundation with existing internal resonances. The nonlinear elastic foundation below (y-direction) and beside (z-direction) the nonlinear beam was simulated using cubic nonlinear springs via the method of multiple scales for the analysis of this problem. We first examined this system to ensure if the internal resonance exists. The 1:3 internal resonance was found in the 1st and 2nd modes of the system. This prompted us to add a TMD on the elastic beam in order to suppress internal resonance and vibrations. We also examined the influence of the mass and location of the TMD as well as damping and spring coefficients on the damping effects. Analysis data is presented in graphs, including 3D maximum amplitude plots of the modes and 3D maximum amplitude contour plots. Our results show that placing the TMD in the y-direction also suppresses vibrations in the z-direction. The locations of the maximum amplitudes between node points in the mode shapes and near the free end of the beam indicate where the TMD should be placed with regard to damping. to suppress internal resonance and vibrations. We also examined the influence of the mass and location of the TMD as well as damping and spring coefficients on the damping effects. Analysis data is presented in graphs, including 3D maximum amplitude plots of the modes and 3D maximum amplitude contour plots. Our results show that placing the TMD in the y-direction also suppresses vibrations in the z-direction. The locations of the maximum amplitudes between node points in the mode shapes and near the free end of the beam indicate where the TMD should be placed with regard to damping.
Relation:	Meccanica 51(10), p.2377-2416
DOI:	10.1007/s11012-016-0372-8
Appears in Collections:	[Graduate Institute & Department of Aerospace Engineering] Journal Article

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	199	View/Open

Loading...