contributor author | Jinsiang Shaw | |
contributor author | Steven W. Shaw | |
date accessioned | 2017-05-08T23:29:17Z | |
date available | 2017-05-08T23:29:17Z | |
date copyright | March, 1989 | |
date issued | 1989 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26303#168_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/105020 | |
description abstract | The dynamic response of a two-degree-of-freedom impacting system is considered. The system consists of an inverted pendulum with motion limiting stops attached to a sinusoidally excited mass-spring system. Two types of periodic response for this system are analyzed in detail; existence, stability, and bifurcations of these motions can be explicitly computed using a piecewise linear model. The appearance and loss of stability of very long period subharmonics is shown to coincide with a global bifurcation in which chaotic motions, in the form of Smale horseshoes, arise. Application of this device as an impact damper is also briefly discussed. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | The Onset of Chaos in a Two-Degree-of-Freedom Impacting System | |
type | Journal Paper | |
journal volume | 56 | |
journal issue | 1 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3176040 | |
journal fristpage | 168 | |
journal lastpage | 174 | |
identifier eissn | 1528-9036 | |
keywords | Chaos | |
keywords | Motion | |
keywords | Stability | |
keywords | Bifurcation | |
keywords | Dampers | |
keywords | Dynamic response | |
keywords | Pendulums AND Springs | |
tree | Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 001 | |
contenttype | Fulltext | |