The Effects of The Pendulum Vibration Absorber on A 2 Dimensional Rigid Body in Vibration Reduction

• Main Authors: Ko-En Hung, 洪可恩
• Other Authors: Yi-Ren Wang
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/98993317483195900236

碩士 === 淡江大學 === 航空太空工程學系碩士班 === 101 === This study examines the effects of pendulum tuned mass damper (PTMD) on a nonlinear vibration system. A novel approach is proposed in which an internal resonance contour plot (IRCP) is used for the analysis of nonlinear dynamic stability. This study considers a vibration system with a planar rigid-body, including plunge and pitch vibration. Both ends of the body are supported by cubic nonlinear springs. The vibration absorber attached beneath is a pendulum tuned mass damper (PTMD) and the mass and position of the absorber are adjusted to optimize vibration reduction. The PTMD is attached to the main rigid body by a set of cubic transverse vibration spring and nonlinear torsional spring. The effects of the hinged springs parameters are also considered. The internal resonance condition for the main rigid body is studied by eigen-analysis. The method of multiple scales (MOMS) is employed to obtain a fixed point solution. This study also uses the Poincare Maps and numerical simulations for comparison. Finally, IRCP with Fixed Point plots are cross-referenced to provide guide-lines to identify the optimal location and the mass for the PTMD with regard to stability and reduced vibration magnitude without the need to alter the framework of the main body.