| Winkler地基梁在温度场中受简谐激励的主共振分析 |
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| 引用本文： | 彭震,杨志安. Winkler地基梁在温度场中受简谐激励的主共振分析[J]. 地震工程与工程振动, 2006, 26(3): 91-93 |
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| 作者姓名： | 彭震 杨志安 |
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| 作者单位： | 唐山学院,唐山市结构与振动工程重点实验室,河北,唐山,063000;唐山学院,唐山市结构与振动工程重点实验室,河北,唐山,063000;天津大学,机械工程学院,天津,300072 |
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| 摘 要： | 研究W inkler地基梁在温度场中受简谐激励作用的主共振问题。应用弹性理论和Galerk in方法建立W inkler地基梁在温度场中受简谐激励作用的非线性动力方程。应用非线性振动的多尺度法,求得系统主共振的近似解。分析不同参数对主共振响应曲线的影响。
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| 关 键 词： | Winkler地基 温度场 多尺度法 非线性振动 |
| 文章编号： | 1000-1301（2006）03-0091-03 |
| 收稿时间： | 2005-12-10 |
| 修稿时间： | 2005-12-102006-03-22 |
Analysis of primary resonance of a beam externally excited on the Winkler foundation in temperature field |
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| Peng Zhen,Yang Zhian. Analysis of primary resonance of a beam externally excited on the Winkler foundation in temperature field[J]. Earthquake Engineering and Engineering Vibration, 2006, 26(3): 91-93 |
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| Authors: | Peng Zhen Yang Zhian |
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| Affiliation: | 1 Key Lab of Structure and Vibration Engineering of Tangshan and Tangshan College, Tangshan 063000,China; 2. School of Mechanical Engineering,Tianjin University 300072 ,China |
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| Abstract: | Study on the primary resonance of a beam externally excited on the Winkler foundation in a temperature field is carried out.Applying the elastic theory and Galerkin's method,the nonlinear dynamical equation of a beam externally excited on the Winkler foundation in a temperature field is established.By means of the method of multiple scales the approximate solution of the primary resonance of a system is obtained.Numerical analysis of the influence of all kinds of parameters on the system is also carried out. |
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| Keywords: | Winkler foundation temperature field the method of multiple scales nonlinear vibration |
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