Kinematic calculation of eccentric mechanisms using the Mathcad software

Abstract

The article determines the value of the pusher stroke of the eccentric mechanism with the 4 to 6 mm eccentricity basing on graphic research. By approximating the graphs of the pusher stroke on the eccentric surface, the authors propose a calculation formula, which defines the pusher stroke as a function of the angle of the eccentric shaft rotation for practical purposes. Moreover, formulae for determining the velocity and acceleration of the eccentric mechanism pusher are offered. The relative error does not exceed 6 % in determining the pusher stroke by graphical and calculation methods. Calculations and graphs of path, velocity, acceleration of the eccentric mechanism pusher with eccentricity of 4, 5 and 6 mm at a shaft speed of 1000 min-1 are calculated and plotted using Mathcad software. The practical implementation of eccentric mechanisms for power supply systems of internal combustion engines is considered.