Dynamic Response of Slider-Crank Mechanism Driven by a DC Motor

DC馬達驅動曲柄滑塊機構之動態響應

楊榮泰(Rong-Tai Yang) ； 馮榮豐(Rong-Fong Fung) ； 蔡燦良(Chian-Liang Tsai) ； 林法正(Faa-Jeng Lin)

《中原學報》 24卷1期 (1996/01) Pp. 23-30

https://doi.org/10.6358/JCYU.199601.0023

摘要

本文在探討分激式DC馬達驅動曲柄滑塊機構之動態響應，曲柄及連桿件假設為剛體，應用Hamilton原理和Lagrange乘子方法導出運動方程式，由降階微分方程式和運用Runge-Kutta數值方法，可求得機構運動及電樞電流的動響應。最後，數值解展現不同性質包括曲柄角的速度，角加速度及電樞電流的動態響應和其結果比較也給予曲柄滑塊機構很好的解釋。

關鍵字

動態響應 ； 曲柄滑塊機構 ； DC馬達

並列摘要

The dynamic response of a slider-crank mechanism which is driven by a separately-excited DC motor is studied in this paper. The rod and crank are assumed to be rigid. The Hamilton’s principle and Lagrange multiplier method are applied to formulate the equation of motion. Reducing the differential-algebraic equations and employing the Runge-Kutta numerical method, the dynamic response of the mechanism motion and armature current are obtained. Finally, numerical examples show the dynamic response of the different quality including the angular velocities, angular acceleration of crank, and armature current and results are compared to give good picture for the slider-crank mechanism.

並列關鍵字

dynamic response ； slider-crank mechanism ； DC motor