On the Derivation and Simulation of the Equation of Motion for Four-Bar Linkage

• Main Authors: Chi-Ji Li, 李奇笈
• Other Authors: Fu-Chen Chen
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/02714261922040914679

碩士 === 崑山科技大學 === 機械工程研究所 === 98 === The objective of this paper is to derive of the equation of motion four-bar linkage and investigate the dynamic response. For a rigid body system with one degree of freedom represented by its equation of motion can be a second order nonlinear differential equations, or a set of second order nonlinear differential equations. From the equation, link position, velocity and acceleration of each link with respect to time can be obtained. In this paper, the vector loop method in machine dynamics is used to derive the position analysis of four-bar linkage. Then, the kinematic coefficients of each link and the mass center of gravity is derived, when the input force is known, the equations of motion can be solved using numerical method in order to study to dynamic response with different damping ratio and dimension. Finally, a set of second-order nonlinear differential of the Lagrange equations are derived and compared with the equation of motion. The result of this paper can be a basis for the beneficial to the subsequent dynamic analysis of mechanism.