ZHAO Yan, JIA Tian, ZHOU Ruipeng. Non-Stationary Radom Vibration Analysis of Coupled Pipeline-Soil Systems Under Earthquake[J]. Applied Mathematics and Mechanics, 2018, 39(5): 493-505. doi: 10.21656/1000-0887.380333
Citation: ZHAO Yan, JIA Tian, ZHOU Ruipeng. Non-Stationary Radom Vibration Analysis of Coupled Pipeline-Soil Systems Under Earthquake[J]. Applied Mathematics and Mechanics, 2018, 39(5): 493-505. doi: 10.21656/1000-0887.380333

Non-Stationary Radom Vibration Analysis of Coupled Pipeline-Soil Systems Under Earthquake

doi: 10.21656/1000-0887.380333
Funds:  The National Natural Science Foundation of China(11772084);The National Basic Research Program of China(973 Program)(2015CB057804)
  • Received Date: 2017-12-25
  • Rev Recd Date: 2018-01-26
  • Publish Date: 2018-05-15
  • 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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