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移动荷载作用下双参数弹性地基板动力响应分析
引用本文:王赞芝,宝瑙珉.移动荷载作用下双参数弹性地基板动力响应分析[J].工业建筑,2010,40(11).
作者姓名:王赞芝  宝瑙珉
基金项目:广西科学研究与技术开发计划项目,广西教育厅重点科研项目,广西工学院博士基金科研项目,广西工学院大学生重点科研立项
摘    要:同时考虑干扰源的运动性和随机性,对双参数弹性地基上的无限大Kirchhoff薄板的动力响应进行了研究。获得了运动的确定性和随机性的点源作用下双参数弹性地基上无限大Kirchhoff薄板的Green函数、脉冲响应函数、频率响应函数和位移场的理论解。详细分析了随机动力响应的时域统计特性。在随机性问题的研究中,发现地面系统对运动平稳随机载荷作用下的随机响应不再是平稳过程。为今后进行地面结构可靠度设计和疲劳设计提供了一定的理论依据。

关 键 词:道路工程  双参数弹性模型  土-结构动力相互作用  随机振动  空间相关性  时空相关性  Laplace变换  Hankel变换

DYNAMIC RESPONSE OF KIRCHHOFF PLATE ON TWO-PARAMETER ELASTIC FOUNDATION UNDER MOVING RANDOM LOAD
Wang Zanzhi,Bao Naomin.DYNAMIC RESPONSE OF KIRCHHOFF PLATE ON TWO-PARAMETER ELASTIC FOUNDATION UNDER MOVING RANDOM LOAD[J].Industrial Construction,2010,40(11).
Authors:Wang Zanzhi  Bao Naomin
Abstract:Considering the movability and randomness together of the interference source,the dynamical response of an infinite Kirchhoff thin slab on two-parameter elastic foundation is studied.The theoretical solutions of the Green’s function,pulse response function,frequency response function and displacement field of this thin slab generated by a moving definite or a moving random point load are obtained.The statistical properties of the random dynamical response in time domain are analyzed in detail.It is found that the stochastic responses of the ground floor system under moving stationary random load are no longer stationary random processes.This paper will provide theoretical basis for the reliability design and fatigue design of a ground structure in later days.
Keywords:road engineering  two-parameter elastic model  dynamic soil-structure interaction  random vibration  space correlation  time-space correlation  Laplace transform  Hankel transform
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