Abstract
The mechanical model of a two-degree-of-freedom forced harmonic vibration system with multiclearance rigid constraints is established, considering the location schemes of symmetrical both-sided clearance and asymmetrical multiple clearance. Existence domains, correlative distributions, and bifurcation scenarios of periodic vibrations are analyzed using multiparameter and multiperformance cosimulation. Pattern diversity, distribution, and occurrence mechanism of the subharmonic impact motion sequences in the tongue-shaped transition regions among the neighboring fundamental periodic motions of the vibration systems are investigated. The emergent behavior of sticking process of fundamental periodic vibration, the occurrence law of chattering-impact motion, and the interaction of different modes of sticking are discussed. According to the sampling ranges of parameters, three multiple heterogeneous constraint conditions are explored; the effects of differently clearance location and values on the dynamic responses and the transition region of fundamental periodic vibrations and subharmonic motions are particularly analyzed. Hence, the reasonable clearance arrangement scheme and numerical optimization combination are determined and the ideal parameter domain of the vibration system is obtained.
Highlights
Clearance is inevitable in the mechanical structure that may be naturally produced during processing and assembly or necessarily existed in the mechanism movement and lubrication
We focus on studying the dynamic characteristics of vibration system with multiclearance, revealing different pattern types, internal characteristics, and transition domains distributions of periodic motion groups using numerical simulation method. e second objective of the present article is to compare the characteristics of periodic motions and chattering-impact motion under the influence of different clearance positioning methods and determine the clearance location schemes and reasonable parametermatching ranges to achieve the coordinated optimization of the system dynamics
We studied the dynamics of a nonsmooth vibration system with multiclearance periodic excitation
Summary
Clearance is inevitable in the mechanical structure that may be naturally produced during processing and assembly or necessarily existed in the mechanism movement and lubrication. E dynamic researches of vibration system with clearance are generally based on qualitative analysis and numerical simulation of impact Poincaremapping. Shock and Vibration grazing bifurcation of periodic motions [16, 17], and the complete chattering-sticking impact motions [18,19,20] in nonsmooth mechanical systems. Liu et al [30,31,32] considered two-parameter bifurcation analysis, successively used experimental and numerical research methods to explore the dynamic behaviors of the vibration system with clearance, and observed chaotic motion, periodic motion, and period-doubling bifurcations of limit cycles. We focus on studying the dynamic characteristics of vibration system with multiclearance, revealing different pattern types, internal characteristics, and transition domains distributions of periodic motion groups using numerical simulation method. We focus on studying the dynamic characteristics of vibration system with multiclearance, revealing different pattern types, internal characteristics, and transition domains distributions of periodic motion groups using numerical simulation method. e second objective of the present article is to compare the characteristics of periodic motions and chattering-impact motion under the influence of different clearance positioning methods and determine the clearance location schemes and reasonable parametermatching ranges to achieve the coordinated optimization of the system dynamics
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