Chaotic motion in the simple machine system

• Main Authors: HSIEH, WEI-AN, 謝維安
• Other Authors: TZU-YIN WU
• Format: Others
• Language: zh-TW
• Published: 1997
• Online Access: http://ndltd.ncl.edu.tw/handle/15598739470713334063

碩士 === 國立臺灣大學 === 機械工程學系 === 85 === The complicated dynamic behavior of a simple pulley-cam- lever assembly is investigated. First, the governing equations of the system are derived based on fundamental conservation laws, the equations are then solved numerically for various combinations of parameters by using a 4th-order Runge-Kutta scheme.Two situations are considered in this study: (1) system with no external force,(2) system subject to a periodic driving force. In the first case, equilibrium points are determined and the stability nature of the point is examined. In thesecond case, bifurcations of solutions as certain important parameterchange areinvestigated thoroughly. Various types of bifurcation are identifiedin this system, such as tangent bifurcation, period-doubling bifurcation,homoclinic bifurcation and crisis, etc. Finally, the global picture ofbifurcation sets in the parameter plane defined by the amplitude A andfrequency w of the driving force is obtained. Transition of the system froma regular motion to chaotic motion is demonstrated and explaine.