Dynamic response and chaos analysis of a spatial multi-body system with multiple clearance joints and a flexible component

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-16 DOI:10.1016/j.cnsns.2025.108699

Hongwei Zhang , Zhong Luo , Sibo Yao , Chunyang Xu , Haiyang Ji , Lei Li

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引用次数: 0

Abstract

The clearance joints and flexible components are crucial factors influencing the dynamic characteristics of mechanisms. Previous studies mainly focus on the dynamic response of simple mechanisms, with limited research on the dynamics analysis and chaotic behavior of complex spatial multi-body systems. To study the dynamic response of the Variable Stator Vane (VSV) mechanism, a nonlinear dynamic model considering clearance joints and a flexible component is established based on the Lagrange multiplier method and the Absolute Nodal Coordinate Formulation (ANCF) method. An adaptive step-size solution algorithm is proposed to address the low efficiency of dynamic calculation for multi-clearance mechanisms. The influences of different joint clearance positions, clearance quantities, and sizes, driving speeds and modes, as well as flexible components on the mechanism dynamic characteristics including motion response, driving force, and joint contact force, are investigated. Chaos phenomena are analyzed using phase diagrams, Poincaré maps, and bifurcation diagrams. The results indicate that the mechanism exhibits varying sensitivities to clearance positions. Increasing the number or size of clearances, or using higher driving speeds, all contribute to decreasing the precision and stability of the mechanism, leading it towards chaotic behavior. The flexible component can mitigate the influence of joint clearances, which is beneficial for enhancing the stability of the mechanism and reducing costs.

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.