Discontinuous dynamic analysis of a class of three degrees of freedom mechanical oscillatory systems with dry friction and one-sided rigid impact

Fan, Jinjun; Cao, Jing; Chen, Shoulian; Dou, Chenjing; Xue, She‐Sheng

doi:10.1016/j.mechmachtheory.2020.103928

Cited by 8 publications

(2 citation statements)

References 68 publications

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“…Recently, a lot of work has gone into investigating nonsmooth bifurcations [1][2][3][4][5][6][7][8] of dynamical systems. e focus of investigations has gradually begun to change from a unilateral constraint system [9][10][11] to a multiconstraint system [12][13][14][15][16][17]. e impact oscillators can be divided into rigid or elastic impact oscillators according to the hardness of constraint.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Behaviors of a Two‐Degree‐of‐Freedom Impact Oscillator with Two‐Sided Constraints

Meng

2021

Shock and Vibration

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The dynamic model of a vibroimpact system subjected to harmonic excitation with symmetric elastic constraints is investigated with analytical and numerical methods. The codimension-one bifurcation diagrams with respect to frequency of the excitation are obtained by means of the continuation technique, and the different types of bifurcations are detected, such as grazing bifurcation, saddle-node bifurcation, and period-doubling bifurcation, which predicts the complexity of the system considered. Based on the grazing phenomenon obtained, the zero-time-discontinuity mapping is extended from the single constraint system presented in the literature to the two-sided elastic constraint system discussed in this paper. The Poincare mapping of double grazing periodic motion is derived, and this compound mapping is applied to obtain the existence conditions of codimension-two grazing bifurcation point of the system. According to the deduced theoretical result, the grazing curve and the codimension-two grazing bifurcation points are validated by numerical simulation. Finally, various types of periodic-impact motions near the codimension-two grazing bifurcation point are illustrated through the unfolding diagram and phase diagrams.

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Section: Introductionmentioning

confidence: 99%

Dynamic Behaviors of a Two‐Degree‐of‐Freedom Impact Oscillator with Two‐Sided Constraints

Meng

2021

Shock and Vibration

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“…Stefani et al introduced suitable dimensionless parameters in their experiments. De Angelis et al experimentally investigated the effect of geometric and mechanical properties of vibration isolation and damping devices on the nonlinear, nonsmooth response of vibration shock systems [13][14][15][16][17][18][19][20][21][22]. De Angelis et al investigated the dynamic response of an SDOF oscillator under a fundamental acceleration excitation.…”

Section: Introductionmentioning

confidence: 99%

Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System

Cheng

Zhang

Chai

et al. 2021

Shock and Vibration

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In this paper, the hinge in the articulated structure is studied, the gap hinge is described as a nonlinear bilateral constraint, and the equivalent modeling and analysis of the hinge connection collision vibration are carried out based on the Lankarani–Nikravesh nonlinear contact force model. With the help of the method of nonlinear system dynamics analysis research, the Poincaré mapping of hinge joint collision vibration is constructed, the bifurcation diagram of the system with different parameters is solved, and the variation law of the system motion and the influence of parameters are analyzed by combining the time response diagram, phase diagram, Poincaré cross section diagram, and spectrum diagram of the typical motion of the system. The simulation results show that the system moves in a single degree of freedom and varies with parameters with multiplicative period bifurcation and rubbing edge bifurcation leading to chaos; the system’s periodic motion has shock state mutation and mirror jump transformation.

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Discontinuous dynamics of a 3-DOF oblique-impact system with dry friction and single pendulum device

Fan

2022

Nonlinear Dyn

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Discontinuous dynamic analysis of a class of three degrees of freedom mechanical oscillatory systems with dry friction and one-sided rigid impact

Cited by 8 publications

References 68 publications

Dynamic Behaviors of a Two‐Degree‐of‐Freedom Impact Oscillator with Two‐Sided Constraints

Dynamic Behaviors of a Two‐Degree‐of‐Freedom Impact Oscillator with Two‐Sided Constraints

Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System

Discontinuous dynamics of a 3-DOF oblique-impact system with dry friction and single pendulum device

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