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

IF 3.8 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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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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具有多间隙关节和柔性部件的空间多体系统动力学响应与混沌分析
间隙接头和柔性部件是影响机构动态特性的关键因素。以往的研究主要集中在简单机构的动力学响应上,对复杂空间多体系统的动力学分析和混沌行为研究较少。为了研究变定子叶片(VSV)机构的动态响应,基于拉格朗日乘子法和绝对节点坐标公式(ANCF)方法,建立了考虑间隙关节和柔性部件的非线性动力学模型。针对多间隙机构动态计算效率低的问题,提出了一种自适应步长求解算法。研究了不同关节间隙位置、间隙数量和大小、驱动速度和方式以及柔性部件对机构运动响应、驱动力和关节接触力等动态特性的影响。混沌现象分析使用相图,庞卡罗图,和分岔图。结果表明,该机构对间隙位置表现出不同的敏感性。增加间隙的数量或大小,或使用更高的行驶速度,都有助于降低机构的精度和稳定性,导致其混乱行为。柔性构件可以减轻关节间隙的影响,有利于提高机构的稳定性和降低成本。
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来源期刊
Communications in Nonlinear Science and Numerical Simulation
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.
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