| 含时滞反馈的楔式制动系统动力学分析 |
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| 引用本文： | 刘强,陈俐. 含时滞反馈的楔式制动系统动力学分析[J]. 应用力学学报, 2020, 0(2): 486-493,I0002 |
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| 作者姓名： | 刘强 陈俐 |
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| 作者单位： | 上海交通大学海洋工程国家重点实验室 |
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| 基金项目： | 国家自然科学基金(51475284)。 |
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| 摘 要： | 考虑含时滞反馈的影响,建立楔式制动系统动力学模型,运用多尺度方法对黏滑界面附近区域进行受迫主共振求解,分析时滞量、楔角与系统刚度对系统幅频响应的影响,应用Routh-Hurwitz判据分析系统稳定性的影响因素。基于解析解的分析表明:稳态幅值和稳定性边界都随时滞量发生周期性变化,周期内较大的时滞量引起鞍结分岔,并发展至不稳定多解;楔角和系统刚度增加引起主共振振幅增大,并扩大了不稳定区域。
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| 关 键 词： | 楔式制动器 时滞反馈 多尺度法 |
An analytical study on time delay dynamics and stability of wedge braking systems |
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| Liu Qiang,Chen Li. An analytical study on time delay dynamics and stability of wedge braking systems[J]. Chinese Journal of Applied Mechanics, 2020, 0(2): 486-493,I0002 |
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| Authors: | Liu Qiang Chen Li |
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| Affiliation: | (Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration,State Key Laboratory of Ocean Engineering,Shanghai Jiao Tong University,200240,Shanghai,China) |
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| Abstract: | A dynamic model with time-delay feedback is established for the wedge braking system.The multiple scale method is adopted to obtain the analytical solution of the primary resonance response.The Routh-Hurwitz criterion is used to analyze the stability.Influences of time delay,wedge angle and system stiffness on the dynamic response and stability are examined.The analytical solution is verified by the numerical solution.Results obtained show that the amplitude of the stable state and the stability boundary periodically varies along with the time delay.Within one period,large time delay induces saddle-node bifurcation and leads to instability.Moreover,larger wedge angle and larger stiffness significantly increase the amplitude of the stable state,and expand the instable region. |
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| Keywords: | wedge brake time delay dynamics multiple scale method |
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