| 凸肩叶片的非线性振动特性与运动分岔 |
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| 引用本文： | 王延庆,郭星辉,梁宏琨,李健,金乘武. 凸肩叶片的非线性振动特性与运动分岔[J]. 力学学报, 2011, 43(4): 755-764. DOI: 10.6052/0459-1879-2011-4-lxxb2010-487 |
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| 作者姓名： | 王延庆 郭星辉 梁宏琨 李健 金乘武 |
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| 作者单位： | 东北大学应用力学研究所 |
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| 基金项目： | 国家自然科学基金和上海宝钢集团公司联合资助项目(50574019)~~ |
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| 摘 要： | 以凸肩叶片作为研究模型, 建立了考虑凸肩摩擦力, 几何大变形与阻尼的非线性振动方程.采用Galerkin法对振动方程离散化, 应用平均法对离散后模态方程组的非线性响应进行解析分析, 得到了非线性幅频特性曲线, 与数值解比较验证了解析解, 并讨论了系统周期解的稳定性. 用非线性振动理论详细研究了平均方程组的运动分岔现象, 揭示了平均方程组周期解的变化过程及其具有的非线性动力学性质. 解析结果表明, 凸肩之间的摩擦对系统第二阶非线性振动特性影响很大. 由于凸肩之间摩擦力方向的不断改变, 系统第二阶非线性幅频特性曲线不连续, 出现两个共振频域. 随着时间的推移, 系统振动的幅值会以$T/ 4$为周期在两个频域的幅频曲线上来回跳动, 这会使叶片的振动响应大幅降低.
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| 关 键 词： | 平均法 |
| 收稿时间： | 2010-08-02 |
| 修稿时间： | 2010-11-30 |
NONLINEAR VIBRATORY CHARACTERISTICS AND BIFURCATIONS OF SHROUDED BLADES |
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| Wang Yanqing Guo Xinghui) Liang Hongkun Li Jian Jin Chengwu. NONLINEAR VIBRATORY CHARACTERISTICS AND BIFURCATIONS OF SHROUDED BLADES[J]. chinese journal of theoretical and applied mechanics, 2011, 43(4): 755-764. DOI: 10.6052/0459-1879-2011-4-lxxb2010-487 |
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| Authors: | Wang Yanqing Guo Xinghui) Liang Hongkun Li Jian Jin Chengwu |
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| Affiliation: | Institute of applied mechanics, Northeastern University, Shenyang 110004, China |
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| Abstract: | A shrouded blade is investigated in this paper.The nonlinear equation of vibration is obtained in consideration of frictions between two shrouds,damping and geometric large-deformation.The system is discretized by Galerkin's method.The averaging method is applied to study the nonlinear response of the discrete modal equations,and nonlinear frequency-response curves are gained.It can be found that the results obtained by the averaging method agree well with those from numerical simulation.The stability of pe... |
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| Keywords: | shrouded blade nonlinearity friction response global bifurcation averaging method |
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