| 多自由度非线性振动分析的平均法 |
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| 引用本文： | 陈立群,吴哲民.多自由度非线性振动分析的平均法[J].振动与冲击,2002,21(3):63-64. |
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| 作者姓名： | 陈立群 吴哲民 |
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| 作者单位： | 上海大学力学系,上海市应用数学和力学研究所,上海,200072 |
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| 基金项目： | 国家自然科学基金资助项目 (1 0 1 72 0 56) |
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| 摘 要： | 将单自由度非线性振动分析的平均法推广到多自由度，基于平均化方程可以导出系统的幅频响应特性。结合具体算例，将数值方法求解微分方程而得到幅频特性与本文平均法的结果进行了比较。
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| 关 键 词： | 非线性振动 多自由度 幅频特性 平均法 |
| 修稿时间： | 2001年7月13日 |
AVERAGING METHOD FOR ANALYZING A MULTI_DEGREES_OF_FREEDOM NONLINEAR OSCILLATION |
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| Chen Liqun,Wu Zhemin.AVERAGING METHOD FOR ANALYZING A MULTI_DEGREES_OF_FREEDOM NONLINEAR OSCILLATION[J].Journal of Vibration and Shock,2002,21(3):63-64. |
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| Authors: | Chen Liqun Wu Zhemin |
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| Abstract: | The averaging method for single-degree-of-freedom nonlinear oscillations is extended to a multi-degrees-of-freedom system.Based on the averaged equation,the amplitude-frequency characteristic of the system is presented.In a numerical example,the amplitude-frequency characteristic obtained by the averaging method is compared with that obtained by the direct numerical algorithm for ordinary differential equations. |
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| Keywords: | nonlinear oscillation multi-degrees-of-freedom amplitude-frequency characteristic averaging method |
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