含间隙&ndash;弹性约束振动系统周期冲击振动多样性及规律特征

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (24) : 1-10.

论文

含间隙–弹性约束振动系统周期冲击振动多样性及规律特征

尹凤伟1,2,罗冠炜1,2,同长虹3

作者信息 +

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

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

Author information +

文章历史 +

摘要

基于一类带有间隙–弹性约束的两自由度受迫振动系统，通过多目标和多参数协同仿真分析，研究了该类非光滑振动系统周期冲击振动的多样性及分岔特征。分析了系统的动力学特性与模型参数的关联关系，讨论了带有相同间隙阈值的弹性约束受迫振动系统在低频域内的基本周期冲击振动群及其发生域的分布特征，发现了相邻基本周期冲击振动相互转迁的不可逆性及其诱发的奇异点、迟滞转迁域和非迟滞转迁域，揭示了非迟滞转迁域内亚谐冲击振动的模式类型及规律特征。对比分析了带有相同间隙阈值和不同间隙阈值的弹性约束振动系统的周期冲击振动的模式类型和分布规律的差异性，进一步揭示了带有不同间隙阈值的弹性约束振动系统低频域内的基本周期冲击振动群的模式类型及其涌现规律。该研究为开展含间隙-约束机械系统的动态设计与协同优化提供科学依据。

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.

导出引用

尹凤伟1,2,罗冠炜1,2,同长虹3. 含间隙–弹性约束振动系统周期冲击振动多样性及规律特征[J]. 振动与冲击, 2020, 39(24): 1-10

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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