| Winkler地基梁在温度场中受简谐激励的1/3次亚谐共振分析 |
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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1/3次亚谐共振分析[J].地震工程与工程振动,2006,26(4):132-135. |
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| 作者姓名： | 彭震 杨志安 |
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| 作者单位： | 1. 唐山学院,唐山市结构与振动工程重点实验室,河北,唐山,063000
2. 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1/3次亚谐共振问题。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,根据非线性振动的多尺度法求得系统满足1/3次亚谐共振情况的一次近似解,并对其进行数值计算,分析了温度、调谐值、激励、阻尼、地基刚度等参数对系统的影响。
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| 关 键 词： | Winkler地基 温度场 多尺度法 亚谐共振 |
| 文章编号： | 1000-1301（2006）04-0132-04 |
| 收稿时间： | 2005-12-21 |
| 修稿时间： | 2005-12-212006-03-10 |
Analysis of 1/3 subharmonic resonance of a beam externally excited on Winkler foundation in temperature field |
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| Peng Zhen,Yang Zhian.Analysis of 1/3 subharmonic resonance of a beam externally excited on Winkler foundation in temperature field[J].Earthquake Engineering and Engineering Vibration,2006,26(4):132-135. |
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| Authors: | Peng Zhen Yang Zhian |
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| Institution: | 1. Key Laboratory of Structure and Vibration Engineering of Tangshan and Tangshan College , Tangshan 063000, China ; 2. School of Mechanical Engineering,Tianjin University, Tianjin 300072, China |
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| Abstract: | In order to study the 1/3 subharmonic resonance of a beam externally excited on the Winkler foundation in temperature field,by using elastic theory and Galerkin's method,the nonlinear dynamical equation of the system is established.By means of the method of multiple scales,the approximate solution of 1/3 subharmonic resonance of the system is obtained.Numerical analysis of the influence of temperture,tuning,excitation,damping,foundation stiffness on the system is carried out. |
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| Keywords: | Winkler foundation temperature field the method of multiple scales subharmonic resonance |
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