埋地管道随机振动的摄动分析

埋地管道的材料特性和沿线的土壤性质存在差异，对这种差异性采用随机参数描述有一定的合理性，因此在管道的随机振动分析中考虑结构参数的随机性是必要的，对于管道的抗震设计具有现实意义。对于在空间相关的地震地面随机激励下的埋地管道，将结构参数看作是随机变量，采用摄动分析法，推导了随机响应的相关函数和功率谱密度函数的解析表达式，大大方便了工程应用。针对某输油管道，给出了计算结果。

Perturbation Analysis of Random Vibration for Buried Pipelines

There is a difference in characteristics of pipe material and soil along pipeline. It is reasonable to represent the difference with random parameters. Thus it is necessary to consider the randomness of structure parameters in pipeline random vibration analysis. It is significant to anti-earthquake design of pipelines. For the buried pipeline subjected by spatially correlated random ground excitation, the structure parameters of pipelines were considered to be statistical variables. The correlation function and power spectral density functions of vibrations response were analytically derived in closed form by means of stochastic perturbation method. The numerical results are given for an actual oil pipeline.