由挤压膜阻尼器支撑的双级正齿轮系统的振动稳定性和分岔分析

IF 2.3 3区 工程技术 Q2 MECHANICS
Hongtai Shi, Weitao Chen, Jingbin Li, Zhipeng Wang, Long Jiang
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引用次数: 0

摘要

挤压膜阻尼器(SFD)在衰减振动方面表现出卓越的功效。在本研究中,利用有限元法计算了 SFD 的油膜力,并遵循了 Galerkin 原理。考虑到时变啮合刚度 (TVMS)、静态传动误差 (STE) 和轮齿反向间隙,通过集合参数方法和达朗贝尔原理,建立了以 SFD 为支撑的两级正齿轮系统的非线性动态模型。基于 Gram-Schmidt QR 分解,提出了计算高维齿轮-转子-SFD 系统的 Lyapunov 指数谱和 Floquet 特征乘数的策略。通过与经典文献比较,验证了计算策略的准确性。对滚动轴承和 SFD 支持的双级正齿轮系统的振动稳定性进行了定性和定量评估。分析评估了 SFD 在增强齿轮系统振动稳定性和改善系统周期运动方面的阻尼效果。研究表明,SFD 的应用能有效减少鞍节点分岔、霍普夫分岔和周期加倍分岔的发生,大大缩小混乱和不稳定的振动区域,抑制双稳态响应和跳跃现象等非线性特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Vibration stability and bifurcation analysis of two-stage spur gear systems supported by squeeze film dampers

Vibration stability and bifurcation analysis of two-stage spur gear systems supported by squeeze film dampers

The squeeze film dampers (SFDs) demonstrate superior efficacy in attenuating vibrations. In the present study, the oil-film forces of SFDs are computed utilizing the finite element method, adhering to the Galerkin principle. Taking into account the time-varying meshing stiffness (TVMS), static transmission error (STE), and tooth backlash, a nonlinear dynamic model for a two-stage spur gear system, bolstered by SFDs, is developed by the lumped parameter methodology and D’Alembert’s principle. Based on the Gram-Schmidt QR decomposition, a strategy for calculating the Lyapunov exponent spectrum and Floquet characteristic multipliers of high-dimensional gear-rotor-SFD systems is proposed. By comparing with classical literature, the accuracy of the computational strategy is verified. Qualitative and quantitative assessments are conducted on the vibration stability of a two-stage spur gear system supported by rolling bearings and SFDs. The analysis evaluated the damping effect of SFDs in enhancing the vibration stability of gear systems and improving the periodic motion of the system. The study indicates that the application of SFDs can effectively reduce the occurrence of saddle-node bifurcations, Hopf bifurcations, and period-doubling bifurcations, and the chaotic and unstable vibration region is greatly narrowed and suppress nonlinear characteristics such as bistable responses and jump phenomena.

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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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