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埋地管道是重要的生命线工程,地震时由于土壤与管道的相互作用而引起管道的运动,在管道中产生地震应力,应力过大会引起管道的破坏,从而影响管道的安全运行。针对地震作用下埋地管道纵向振动微分方程,提出以满足边界条件和初始条件的三角函数作为试函数,用加权余量法计算地震作用时管道的纵向运动位移反应,进而可求出管道中的纵向应变、应力,确定出管道应具有的强度。给出的算例表明,所给出的方法能有效地对地震作用下埋地管道纵向振动进行计算,可为工程中埋地管道的抗震设计提供参考。
Buried pipelines are important lifeline projects. Due to the interaction of soil and pipelines, pipelines are caused by earthquakes and seismic stress is generated in pipelines. Excessive stress causes damage to pipelines, which affects the safe operation of pipelines. In view of the longitudinal vibration differential equation of underground pipeline under earthquake action, the trigonometric function which satisfies the boundary conditions and initial conditions is proposed as the trial function, and the longitudinal motion displacement response of the pipeline when the seismic action is calculated by the weighted residual method, Longitudinal strain, stress, to determine the strength of the pipeline should have. The given examples show that the proposed method can effectively calculate the longitudinal vibration of buried pipelines under seismic action and provide a reference for the seismic design of buried pipelines in engineering.