Nonlinear Dynamics of a Cantilever Beam Carrying an Attached Mass with 1:3:9 Internal Resonances |
| |
| Authors: | Dwivedy S K Kar R C |
| |
| Institution: | (1) Department of Mechanical Engineering, Indian Institute of Technology, Guwahati, 781 039, India;(2) Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur, 721 302, India |
| |
| Abstract: | In this paper the nonlinear response of a base-excited slender beam carrying an attached mass is investigated with 1:3:9 internal resonances for principal and combinationparametric resonances. Here the method of normal forms is used to reduce the second order nonlinear temporal differential equation of motion of the system to a set offirst order nonlinear differential equations which are used to find the fixed-point, periodic, quasi-periodic and chaotic responses of the system.Stability and bifurcation analysis of the responses are carried out and bifurcation sets are plotted. Many chaotic phenomena are reported in this paper. |
| |
| Keywords: | nonlinear response principal parametric resonance combination parametric resonance 1:3:9 internal resonance cantilever beam chaos bifurcation set |
| 本文献已被 SpringerLink 等数据库收录！ |
|
