| 非线性不平衡弹性轴系动力学的安全裕度准则 |
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| 引用本文： | 陈予恕,李银山,薛禹胜. 非线性不平衡弹性轴系动力学的安全裕度准则[J]. 应用数学和力学, 2003, 24(6): 551-558 |
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| 作者姓名： | 陈予恕 李银山 薛禹胜 |
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| 作者单位： | 1.天津大学, 力学系, 天津, 300072; |
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| 基金项目： | 国家自然科学基金资助项目(重大19990510)，山西省自然科学基金资助项目(20001007)，国家重点基础研究专项经费资助项目(G1998020316) |
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| 摘 要： | 给出了一个弹性转子系统的非线性动力学安全裕度准则.采用分解和聚合的方法将系统的积分空间与观察空间分离,在积分空间中得到高维系统的稳态轨迹;根据转子系统振动的国际标准确定安全准则的能量界限,在一系列观察空间中采用能量相比正面积准则计算安全裕度.给出了滑动轴承非线性油膜力条件下不平衡转子系统安全裕度计算的实例.所建议的安全裕度准则包括了工程中通用的稳定裕度的计算,它是解决非线性系统安全裕度和稳定裕度量化计算问题的一种有效方法.
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| 关 键 词： | 不平衡弹性转子 安全裕度 相比正面积准则(CPAC) 分岔和混沌 |
| 文章编号： | 1000-0887(2003)06-0551-08 |
| 收稿时间： | 2002-02-04 |
| 修稿时间： | 2002-02-04 |
Safety Margin Criterion of Nonlinear Unbalance Elastic Axle System |
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| Affiliation: | 1.Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;2.Institute of Engineering Mechanics, School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, P. R. China;3.Nanjing Automation Research Institute, Nanjing 210003, P. R. China |
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| Abstract: | The safety margin criterion of nonlinear dynamic question of an elastic rotor system are given. A series of observing spaces were separated from integral space by resolving and polymerizing method. The stable-state trajectory of high dimensional nonlinear dynamic systems was got within integral space. According to international standard of rotor system vibration, energy limits of safety criterion were determined. The safety margin was calculated within a series of observing spaces by comparative positive-area criterion(CPAC) method. A quantitative example calculating safety margin for unbalance elastic rotor system was given by CPAC. The safety margin criterion proposed includes the calculation of current stability margin in engineering. This criterion is an effective method to solve quantitative calculation question of safety margin and stability margin for nonlinear dynamic systems. |
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| Keywords: | unbalance elastic rotor safety margin comparative positive-area criterion(CPAC) bifurcation and chaos |
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