Paper Title:
Global Bifurcation of a Tuning Mass Damper with Plastic Impacts
  Abstract

Many Literatures pay attention to the location and parameter optimization of Tuned Mass Damper (TMD). Yet there are few studies on the case where both the TMD and the main system have plastic impacts under large stroke of TMD fixed in limitation space. A two degree-of-freedom (DOF) vibratory system having symmetrically placed rigid stops and subjected to periodic excitation is considered in this paper. The equations of the vibratory system are constructed, and then for simplification the dimensionless equations are obtained. Poincaré map was used to study the relationship between the motion stability and parameters. Period-doubling bifurcation of motion was found by numerical simulations. With the gradual change in excitation frequency, the routes of quasi-periodic impact motions to chaos are observed from simulation results.

  Info
Periodical
Advanced Materials Research (Volumes 243-249)
Edited by
Chaohe Chen, Yong Huang and Guangfan Li
Pages
6225-6229
DOI
10.4028/www.scientific.net/AMR.243-249.6225
Citation
A. Z. Yan, X. H. Li, "Global Bifurcation of a Tuning Mass Damper with Plastic Impacts", Advanced Materials Research, Vols. 243-249, pp. 6225-6229, 2011
Online since
May 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Chang Li Liu, X.L. Zhang, L. Cui, J. Jiang, J.R. Zheng
Abstract:In this paper, the dynamic model of rotor bearing system with rub-impact and oil whirl is formulated. Continuation-shooting method for the...
517
Authors: Li Cui, Jian Rong Zheng
Abstract:Rigid rotor roller bearing system displays complicated nonlinear dynamic behavior due to nonlinear Hertzian force of bearing. Nonlinear...
467
Authors: Ze Jin Shang, Zhong Min Wang
Abstract:The recovery force of shape memory alloy spring is described by using polynomial constitutive equation. The nonlinear dynamic model of forced...
3958
Authors: Yuan Yue, Jian Huab Xie
Abstract:A three-degree-of-freedom vibro-impact system with symmetric two-sided constraints is considered. Existence conditions of the symmetric...
229
Authors: Xiao Sun Wang, Shi Jing Wu, Ji Cai Hu, Jie Chen
Chapter 5: Mechanical Engineering
Abstract:The spur gear pair’s nonlinear equation of motion including piece-wise backlash and internal error excitation is derived in this research....
506