Periodic motion transition characteristics of a vibro-impact system with multiple impact constraints
A type of two-degree-of-freedom forced vibro-impact system with rigid and elastic compound constraints was studied.Based on the numerical calculation method of two-parameter co-simulation,the mode types and existence regions of the periodic motions of the system were obtained on the parameter plane composed of the key parameters excitation force frequency and the gap value between two masses.The transition laws between impactless motion and adjacent fundamental period motion and between adjacent fundamental period motions were revealed.The effect of the change of the elastic constraint stiffness on the types of mode and the region of existence of the periodic motions of the system was analyzed.The results show that there are two main types of transition regions,including tongue-like regions and hysteresis regions,between impactless motion and adjacent fundamental period motion and between adjacent fundamental periodic motions.There are regular subharmonic motions in the tongue-like regions.These subharmonic motions and the adjacent fundamental period motions form a hysteresis region group near the boundary lines of the tongue-like regions.Increasing the stiffness value at the elastic constraint will significantly increase the existence regions of quasi-periodic motions and chaotic motions in the low frequency domain in the two-parameter plane,and divide the existence regions of periodic motions.
mechanical designcompound constraintsvibro-impactco-simulationhysteresis region groupbifurcation
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