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桩基非线性轴向受迫振动稳态幅频响应分析
引用本文:胡春林,熊伟芬,胡胜刚.桩基非线性轴向受迫振动稳态幅频响应分析[J].工程力学,2010(1).
作者姓名:胡春林  熊伟芬  胡胜刚
作者单位:水利部岩土力学与工程重点实验室;武汉理工大学土木工程学院;
基金项目:水利部岩土力学与工程重点实验室开放研究基金项目(G07-07)
摘    要:用多时间尺度法得到了一端固定、另一端自由的桩基非线性轴向受迫振动系统主共振时的稳态幅频响应曲线。研究表明:桩基非线性轴向受迫振动的幅频响应曲线不仅与派生线性振动系统的固有频率、土刚度和阻尼系数有关,而且也与振幅、相位和非线性特征量有关。幅频响应曲线中会出现一种典型的振幅跳跃的非线性现象,当激励频率接近线性系统固有频率时,系统产生共振从而响应幅值增大,而且同一激励频率可能会对应于振幅的多个不同值,运动状态具有不稳定性。随着非线性系数的增大,响应曲线峰值侧向弯曲;粘性阻尼会抑制响应振幅的增大;激励振幅增大会导致响应振幅增大。

关 键 词:非线性轴向受迫振动  主共振和稳态幅频响应曲线  多时间尺度法  桩基  参数的影响

STUDY ON STEADY-STATE FREQUENCY-RESPONSE OF NONLINEAR AXIAL FORCED VIBRATION OF PILES
HU Chun-lin,XIONG Wei-fen,HU Sheng-gang.STUDY ON STEADY-STATE FREQUENCY-RESPONSE OF NONLINEAR AXIAL FORCED VIBRATION OF PILES[J].Engineering Mechanics,2010(1).
Authors:HU Chun-lin    XIONG Wei-fen  HU Sheng-gang
Affiliation:1.Key Laboratory of Geotechnical Mechanics and Engineering of the Ministry of Water Resources;Wuhan;Hubei 430012;China;2.School of Civil Engineering;Wuhan University of Technology;Hubei 430070;China
Abstract:The steady-state amplitude-frequency response curve for the primary resonances of the nonlinear axial forced vibration of a pile fixed at one end and free at the other end is presented by the method of multiple time scales.Results show that the amplitude-frequency response curve for the nonlinear axial forced vibration of the pile is related to not only the natural frequency of the derivational linear vibration system,soil rigidity,and damping coefficient,but also the amplitude,phase and nonlinear eigenvect...
Keywords:nonlinear axial forced vibration  primary resonances and steady-state frequency-response curves  method of multiple time scales  piles  effect of parameters  
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