Non-Stationary Radom Vibration Analysis of Coupled Pipeline-Soil Systems Under Earthquake
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摘要: 考虑地震载荷的非平稳特性和相干特性,建立了地下管道-土耦合结构随机振动分析的一种频域方法.应用Fourier-Stieltjes积分描述非平稳随机过程,由核函数刻画地震载荷的幅值和频率成份等时变特性;同时引入指数型衰减函数描述地震载荷的空间分布特性.在频域上结合虚拟激励法和Fourier(傅里叶)分析技术,推导了地下管道-土耦合结构受具有相干特征非平稳随机载荷作用下的响应演变功率谱的闭合解,建立了随机振动输入和输出的频域关系.数值算例与传统的分析方法进行对比验证,说明了建立方法的正确性和有效性;进一步研究了不同土参数变化以及不同端部约束条件下管道结构随机振动行为规律.Abstract: According to the non-stationary and coherent characteristics of seismic load, a frequency-domain method for random vibration analysis of underground pipeline-soil structures was proposed. The Fourier-Stieltjes integral was used to describe the non-stationary stochastic process, and the time-dependent characteristics of the amplitude and frequency components of the seismic load were depicted by its kernel function; the exponential decay function was used to describe the spatial distribution of seismic load. Based on the combination of the pseudo-excitation method and the Fourier analysis technique in the frequency domain, the closed-form solution of the response evolution power spectrum of the pipeline-soil structure was derived under the coherent and non-stationary random loading, and the frequency-domain relation between the input and the output of the random vibration was established. In numerical examples, the proposed method was compared with the traditional calculating methods, and the correctness and validity of the method were illustrated. Furthermore, the mechanism of random vibration behavior of the pipeline with changing soil parameters and different end constraints were studied.
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