Kinematic and Dynamic Analyses of a Crank-Shaper Quick Return Mechanism

曲柄－牛頭鉋床式速回機構的運動與動力分析

黃健生(Jeng-Sheng Huang) ； 馮榮豐(Rong-Fong Fung) ； 陳盈昌(Ying-Chang Chen) ； 楊榮泰(Rong-Tai Yang)

《中原學報》 24卷1期 (1996/01) Pp. 13-21

https://doi.org/10.6358/JCYU.199601.0013

摘要

本文探討速回機構的運動與動態分析，假設此機構的連桿和曲柄皆為剛體，而曲柄由外加扭矩所驅動。用非線性代數束縛方程式描述系統連桿間的幾何關係，應用Hamilton定理程Lagrange乘子來推導動力方程式。將微分－代數方程式簡化及使用Rung-Kutta數值解法，可以比較正確解及近似解之問的差異。系統只有一個自由度，因此滑塊的位置及各連桿的角度相對於曲柄，有一對一關係，同時舉一曲柄等角速度和等外加扭矩時的數值解，並討論此結果。

關鍵字

運動 ； 動力 ； 速回機構

並列摘要

This paper presents the kinematic and dynamic analyses of a quick return mechanism. The links are assumed to be rigid. The crank is driven by an external torque. Geometric constraints between different components in the system are formulated by using a set of nonlinear algebraic constraint equation. The Hamilton’s principle and Lagrange multiplier method are applied to formulate the dynamic equation of the mechanism. Reducing the differential-algebraic equations and employing the Runge-Kutta numerical method, the exact and approximate motions of the slider are obtained and compared. The one-to-one relationships of slider position, angles of links with respect to crank angle hold for the system with one degree of freedom. The numerical results of the case with constant input angular velocity and that of constant input forque are obtained and discussed.

並列關鍵字

Kinematic ； dynamic ； quick return mechanism