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337 results on '"Zhu, Xifeng"'

6. STUDY ON MULTI-COEXISTING ATTRACTORS FOR TWO-DOF COLLISION SYSTEMS WITH NONLINEAR CONSTRAINTS (MT)

Author

ZHU XiFeng, MA Shuo, and WANG JianFeng

Subjects
Pre-compression, Nonlinear constraints, Hysteresis domain, Coexisting attractor, Multi-parameter co-simulation, Mechanical engineering and machinery, TJ1-1570, Materials of engineering and construction. Mechanics of materials, TA401-492
Abstract

A two-degree-of-freedom collission vibration system model with nonlinear constraints and initial precompression is established. The hysteresis region and distribution of the system are studied by using the 4-order Runge-Kutta numerical algorithm and multi-parameter co-simulation method. The stability of the co-existing motions in the hysteresis region is analyzed by cell mapping method. Finally, the influence of the change of basic parameters on the hysteresis domain of the system is deeply studied. The results show that the stability of coexisting motion changes with the change of excitation frequency in hysteresis domain. The decrease of the elastic stiffness ratio will reduce the hysteretic frequency of the system.

Published
2023
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7. DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT)

Author

MA Shuo, ZHU XiFeng, and WANG JianFeng

Subjects
Chattering-impact motion, Non-linear constraints, Bifurcation, Attractors coexistence, Multi-parameter coordination, Mechanical engineering and machinery, TJ1-1570, Materials of engineering and construction. Mechanics of materials, TA401-492
Abstract

A type of single-degree-of-freedom mechanical impact vibration system with dry friction and nonlinear constraints is studied. Through the fourth-order variable step Runge-Kutta numerical algorithm, the dynamics of the mechanical vibration system generated by the low-frequency excitation of the p/1 periodic motion are analyzed. The effect of system parameters on the dynamic characteristics of the vibration model is analyzed by the method of multi-parameter co-simulation, and the frequency hysteresis characteristics of Grazing bifurcation and Saddle-node in p/1 periodic motion are revealed. And the range of coexistence attractors. Finally, combined with the cell mapping method, the distribution of different attractors and attracting domains in the polymorphic coexistence area and their transition laws are studied. The research results show that the Grazing bifurcation with the decrease of the excitation frequency, the number of collisions of the p/1 periodic motion will gradually increase until the flutter motion occurs, and due to the irreversibility of adjacent periodic motion, changing different initial values in the hysteresis domain will result in different periodic motions coexisting.

Published
2023
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8. LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT)

Author

WEN ZhiHua, ZHU XiFeng, and WANG JianFeng

Subjects
Chattering-impact motion, Non-linear constraints, Bifurcation, Attractors coexistence, Mechanical engineering and machinery, TJ1-1570, Materials of engineering and construction. Mechanics of materials, TA401-492
Abstract

A type of two-degree-of-freedom vibration system with bilateral nonlinear constraints is established. Through the fourth-order Runge-Kutta numerical algorithm, the dynamic characteristics of the p/1 periodic motion of the system under low frequency excitation, the law of mutual transition and the corresponding law of the coexistence zone of gap and period are analyzed. The cell mapping method is used to study the distribution law of different attractors and attracting domains in the coexistence area of periodic motion. The results show that the periodic motions of the system are mainly transferred through Grazing bifurcation and Saddle-node bifurcation. Due to the irreversible transition process, there is a coexistence zone of periodic motion between adjacent motions. As the gap increases, the range of the coexistence zone of periodic motion of the system gradually decreases.

Published
2023
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