| Winkler地基梁在温度场中受简谐激励3次超谐共振分析 |
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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3次超谐共振分析[J].地震工程与工程振动,2006,26(5):239-242. |
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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 |
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| 摘 要： | 本文研究W inkler地基梁在温度场中受简谐激励作用的3次超谐共振问题,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3次超谐共振情况的一次近似解,分析了温度、阻尼、激励幅值、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 3次超谐共振 |
| 文章编号： | 1000-1301（2006）05-0239-04 |
| 收稿时间： | 2006-03-10 |
| 修稿时间： | 2006-03-102006-06-12 |
Analysis of 3 superhamonic resonance of a beam externally excited on the Winkler foundation in temperature field |
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| Peng Zhen,Yang Zhian.Analysis of 3 superhamonic resonance of a beam externally excited on the Winkler foundation in temperature field[J].Earthquake Engineering and Engineering Vibration,2006,26(5):239-242. |
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| Authors: | Peng Zhen Yang Zhian |
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| Institution: | Key Lab of Structural and Vibration Engineering of Tangshan and Tangshan College, Tangshan 063000, China |
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| Abstract: | Study on 3 superharmonic resonance of a beam externally excited on the Winkler foundation in temperature field is carried out.By applying elastic theory and Galerkin's method,the nonlinear dynamic equation of a beam externally excited on the Winkler foundation in temperature field is established.By using the method of multiple scales for nonlinear vibration analysis, the first approximate solution of 3 superharmonic resonance of the system is obtaind.Analysis of the influence of temperature,damping,excitation and foundation stiffness on the system is carried out. |
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| Keywords: | Winkler foundation temperation field method of multiple scales 3 superharmonic resonsance |
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