| 广义Van der Pol型强非线性共振的转迁集 |
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| 引用本文： | 郑昭明,罗冬梅.广义Van der Pol型强非线性共振的转迁集[J].武汉科技大学学报(自然科学版),1999(2). |
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| 作者姓名： | 郑昭明 罗冬梅 |
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| 作者单位： | 武汉冶金科技大学基础科学二部 |
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| 摘 要： | 运用改进的Ｌ－Ｐ方法，引入参数变换α＝εｑ２ω１／（ｐ２ω２０＋εｑ２ω１），用多尺度法求出广义ＶａｎｄｅｒＰｏｌ型强非线性主振、亚谐、次谐共振的分岔响应方程和转迁集，得出主振、ｋ≠１／２时的亚谐、次谐振动具有相同的分岔拓扑结构，而ｋ＝１／２时的亚谐振动的分岔结构更加复杂
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| 关 键 词： | 强非线性振动 参数变换 改进L－P方法 多尺度 分岔 转迁集 |
The Transition Boundary with Generalized Van Der Pol Type StrongNonlinear ComVibration |
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| ZHENG ZhaomingLUODongmei.The Transition Boundary with Generalized Van Der Pol Type StrongNonlinear ComVibration[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),1999(2). |
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| Authors: | ZHENG ZhaomingLUODongmei |
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| Abstract: | In this paper,the improved LP method was used,and parameter transformation =q21/p220 q21was drawn into.By means of the multiple scale method,the branching response equation and transition boundary were obtained with the Van Der Pol type strong nonlinear main vibration,subresonance,and second resonance.The conclusions were:the main vibration,the subresonance with k1/2,second resonance had the same branching topology structure,and the branching structure of second resonance vibration would be more complicated while k=1/2. |
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| Keywords: | strong nonlinearvibration parameter transformation improved LPmethod multiple scale branching transition boundary |
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