Diversity and regularity of periodic vibro-impact of a vibration system with clearance-elastic constraints

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (24) : 1-10.

YIN Fengwei1,2,LUO Guanwei1,2,TONG Changhong3

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Abstract

Based on the mechanical model of a two-degree-of-freedom forced vibration system with clearance-elastic constraints, the diversity and bifurcation characteristics of periodic impulsive vibration of this kind of non-smooth vibration system were studied by multi-objective and multi-parameter co-simulation analysis.The results reveals the relationship between the dynamic characteristics of the system and the parameters of the model.The fundamental periodic vibro-impact groups and its distribution characteristics in small frequency domain of a vibration system with the same clearance threshold constraints were discussed.The singularities, hysteretic and non-hysteretic transition regions induced by the irreversibility of the mutual transition of adjacent fundamental periodic vibro-impact were analyzed, and the mode types and regularities of sub-harmonic vibro-impact in non-hysteretic transition region were revealed.The difference of mode type and distribution regularity of periodic vibro-impact with the same clearance threshold and different clearance threshold constraints was compared.Furthermore, the mode types and emergence rules of fundamental vibro-impact groups in small frequency domain of elastically constrained vibration systems with different clearance thresholds were revealed.The calculation and analysis above may be provided scientific basis for dynamic design and collaborative optimization of mechanical systems with clearances and constraints.

Key words

clearance / periodic vibro-impact / bifurcation / diversity

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YIN Fengwei1,2,LUO Guanwei1,2,TONG Changhong3. Diversity and regularity of periodic vibro-impact of a vibration system with clearance-elastic constraints[J]. Journal of Vibration and Shock, 2020, 39(24): 1-10

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