Dynamic balancing of the slider-crank mechanism

Abstract

This paper discusses comparative analysis of dynamics of balanced and unbalanced slider crank mechanism. The aim of this paper is to research influence of dynamic balancing of slider crank mechanism on intensity of reactions forces in joint connecting crank and coupler link. As far as the author of the paper knows, this problem has not been considered in available literature so far. Owing to the law on center of mass and the law on variation of kinetic moment of material system, differential equations of motion for each mechanism member are formed. Formulations for reactions forces and driving torque affecting the crank enable performance of different kind of dynamic analysis for different parameters values. Quantitative analysis for derived diagrams was performed using formulations of the root mean square values in certain number of points in appropriate time interval. Software package Wolfram Mathematica 9.0 was used to draw diagram of reaction variation in joint O2 during time at balanced and unbalanced slider crank mechanism.