12 The Dynamics of Eccentric Vibration Mechanism (Part 2)
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Fig. 12.15 Bifurcation diagrams with frequency parameter p for k = 0, ,k = 0
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Fig. 12.16 Bifurcation diagrams with frequency parameter p for k = 0.1, ,k = 0.1
12.6 Conclusion
The main results of the present work are as follows:
• a new mathematical model of a two-piston vibro-impact mechanism with a crank
vibration exciter is presented;
• analytical relations for the mechanism parameters are given, with the help of which
one can indicate regions where mechanism motions are possible after impacts
either by one PS or alternately by two PSs;
• bifurcation diagrams for all parameters of the mechanism allowed us to identify
existence regions of various motion modes, including chaotic ones;
• two periodic motion modes are proved to exist in the stability regions, formed
by surfaces N + , N − , N φ and N C with one set of parameters, one periodic motion
being always stable, the other unstable;
• it has been numerically computed, that the parameters ε (distance from the
connecting point of the rod to the lower base of PS), φ (phase shift between
eccentricities) and the height of the anvils k 1 , k 1 + are the most significant
parameters that affect the dynamics of the mechanism.