一种新型的基于弹簧的非线性能量阱用于长轴转子系统扭振抑制

IF 3.8 2区 数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-01 Epub Date: 2025-01-21 DOI:10.1016/j.cnsns.2025.108639
Zhengqiu Xie , Kun Xie , Shuaishuai Ge , Zhigang Zhang , Ruizhi Shu , Rulong Tan , Wenbin Huang
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引用次数: 0

摘要

提出了一种新型的基于弹簧的非线性能量阱(SNES)来抑制长轴转子系统的扭转振动。SNES函数采用分段线性刚度,这是通过挤压弹簧产生的。该机构为长轴转子系统提供了一个可表征为三次非线性力的恢复力矩。本文详细介绍了SNES的结构设计,建立了SNES转子系统的动力学模型。通过数值研究评估了瞬态和稳态激励下SNES的减振能力,揭示了转子-SNES系统的非线性动力学行为。此外,还研究了各种参数对系统性能的影响。综合系统的实验研究表明,转子系统在瞬态响应过程中,耦合SNES的能量耗散速度是不加SNES系统的1.47倍。在稳态响应方面,SNES在实验中实现了高达52.60%的振动抑制率。结果表明,所提出的SNES能有效地抑制转子系统的扭转振动。
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A novel spring-based nonlinear energy sink for torsional vibration suppression of long-shafting rotor system
In this paper, a novel spring-based nonlinear energy sink (SNES) is proposed for suppressing torsional vibrations in long-shaft rotor systems. The SNES functions by employing a piecewise linear stiffness, which is generated through the extrusion of springs. This mechanism provides the long-shaft rotor system with a restoring torque that can be characterized as a cubic nonlinear force. The paper details the design of the SNES structure and formulates a dynamic model of the SNES-rotor system. Numerical investigations are conducted to assess the vibration damping capacity of the SNES under both transient and steady-state excitations, revealing the nonlinear dynamic behavior of the rotor-SNES system. Furthermore, the effects of various parameters on system performance are examined. Experimental studies on the integrated system demonstrate that the rotor system coupled with the SNES dissipates energy 1.47 times faster than a system without the SNES during transient responses. In terms of steady-state responses, the SNES achieves a vibration suppression rate of up to 52.60% in experiments. These results demonstrate the effective suppression of torsional vibrations in the rotor system by the proposed SNES.
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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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