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基于突变理论的超长桩横向动力稳定性分析
引用本文:姚文娟,郭志兴,程泽坤.基于突变理论的超长桩横向动力稳定性分析[J].水运工程,2011(8):9-13.
作者姓名:姚文娟  郭志兴  程泽坤
作者单位:1. 上海大学土木工程系,上海,200072
2. 中交第三航务工程勘察设计院有限公司,上海,200032
摘    要:为研究超长桩在横向动力荷载作用下的失稳破坏过程,应用突变理论建立了超长桩横向动力稳定性的双尖点突变模型,对超长桩在横向简谐荷载作用下稳定的机理进行了研究。在模型所给出的两个尖点坐标基础上,分析了非线性系数μ和频率比η这两个参数对超长桩振幅的影响。结果表明,当非线性系数在两个尖点之间时,频率比η在一定范围的连续变化会引起振幅的突然变化,即产生跳跃现象,这是导致超长桩发生横向失稳破坏的一种机制。

关 键 词:超长桩  横向动力荷载  突变理论  动力失稳  稳定性分析

Lateral dynamic stability analysis of super-long piles based on catastrophe theory
AO Wen-juan,GUO Zhi-xing,CHENG Ze-kun.Lateral dynamic stability analysis of super-long piles based on catastrophe theory[J].Port & Waterway Engineering,2011(8):9-13.
Authors:AO Wen-juan  GUO Zhi-xing  CHENG Ze-kun
Institution:1. Department of Civil Engineering. Shanghai University, Shanghai 200072, China;2. CCCC Third Harbor Consultants Co., Ltd., Shanghai 200032, China
Abstract:To investigate the instability of super-long pile under lateral dynamic load,the double cusps catastrophe model to analysis the dynamic stability of super-long pile is established by catastrophe theory.The mechanism of stability of super-long pile under lateral simple harmonic load is analyzed and the coordinates of two cusps is derived.The effects of nonlinear coefficient μ and frequency ratio η on amplitude of super-long pile are analyzed.The analysis of the parameters shows that: when nonlinear coefficient between two cusps,continuous change of η can arise abrupt change of amplitude,that is,produce jumping,which is the mechanism of lateral instability of super-long pile.
Keywords:super-long pile  lateral dynamic load  catastrophe theory  dynamic instability  stability
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