Pattern types and bifurcation characteristics of the low frequency periodic impact vibration of a periodically forced system with a clearance
SHI Yuqing1, DU Sanshan2, L Xiaohong1, LUO Guanwei2
1. School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China;
2. Gansu Provincial Key Laboratory of System Dynamics and Reliability of Rail Transport Equipment, Lanzhou, 730070, China
Abstract:Two periodically-forced systems with single rigid stop and single elastic stop respectively were considered. Pattern types, diversity, regularity and bifurcation characteristics of the fundamental group of impact motions and subharmonic impact motions in the parameter plan, in low frequency range, were analyzed. The transition irreversibility of adjacent impact motions with fundamental period and two types of transition regions, narrow hysteresis and tongues-shaped regions, were found by using the multi-target and multi-parameter co-simulation analysis. The occurrence mechanism and distribution characteristics of the two types of transition regions (hysteresis and tongue-shaped regions), as well as the pattern types and regularity of subharmonic impact motions in the tongue-shaped regions were studied. The transition law from impact motions with fundamental period to incomplete and complete chattering-impact vibrations was studied.
侍玉青1, 杜三山2, 吕小红1,罗冠炜2. 含间隙振动系统低频周期冲击振动的模式类型及分岔特征[J]. 振动与冲击, 2019, 38(6): 218-225.
SHI Yuqing1, DU Sanshan2, L Xiaohong1, LUO Guanwei2. Pattern types and bifurcation characteristics of the low frequency periodic impact vibration of a periodically forced system with a clearance. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(6): 218-225.
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