Analysis of the constraint reaction force in a mechanism system

JING Qian1,2,LIU Hongzhao1,WANG Gengxiang1

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (8) : 161-165.

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (8) : 161-165.

Analysis of the constraint reaction force in a mechanism system

  • JING Qian1,2,LIU Hongzhao1,WANG Gengxiang1
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Abstract

In order to investigate how to calculate the constraint reaction forces in a mechanism system, considering the relationship between reaction forces and Lagrange multipliers, it was determined that the Lagrange multipliers are the weight coefficient of the constraint reaction forces.In this paper, the reaction forces of the joints in the mechanism system were calculated by means of equation of motion.The specified computational method of the reaction forces corresponding to each joint in the mechanism system was described.The selected step of the Lagrange multipliers and calculated process of the reaction forces were illustrated especially.In order to prove the correctness of the method, the reaction forces of the joints from the same research object were calculated again by the Newton-Euler method, and then, the calculated results from above two methods were validated by ADAMS.The comparative analysis between above three different approaches was implemented, which verified that the correctness of the selected method calculated reaction forces in the joints based on the equation of motion.

Key words

Reaction force / Lagrange multiplier / Newton-Euler method

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JING Qian1,2,LIU Hongzhao1,WANG Gengxiang1. Analysis of the constraint reaction force in a mechanism system[J]. Journal of Vibration and Shock, 2019, 38(8): 161-165

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