周口师范学院学报
週口師範學院學報
주구사범학원학보
Journal of Zhoukou Normal University
2009年
2期
7~10
,共null页
水下油气管道 随机微分方程 伽辽金法
水下油氣管道 隨機微分方程 伽遼金法
수하유기관도 수궤미분방정 가료금법
underwater pipelines for oil and gas; stochastic differential equation; Galerkin method
水下穿越输油气管道具有施工方便、投资省等优点.但水下穿越段一旦遭到破坏,其破坏点不易被发现,修复困难,因此水下管道的振动分析研究具有重要意义.文章从分析水下管道的受力情况出发,建立了描述水下管道振动的随机微分方程,求解出描述振动受力的随机过程,从而给出这种振动受力的计算和模拟方法.其结果可引申到在流体中运动的物体,如大气中的各种飞行器及其部件的振动模拟以及寿命预测等应用研究领域.
水下穿越輸油氣管道具有施工方便、投資省等優點.但水下穿越段一旦遭到破壞,其破壞點不易被髮現,脩複睏難,因此水下管道的振動分析研究具有重要意義.文章從分析水下管道的受力情況齣髮,建立瞭描述水下管道振動的隨機微分方程,求解齣描述振動受力的隨機過程,從而給齣這種振動受力的計算和模擬方法.其結果可引申到在流體中運動的物體,如大氣中的各種飛行器及其部件的振動模擬以及壽命預測等應用研究領域.
수하천월수유기관도구유시공방편、투자성등우점.단수하천월단일단조도파배,기파배점불역피발현,수복곤난,인차수하관도적진동분석연구구유중요의의.문장종분석수하관도적수력정황출발,건립료묘술수하관도진동적수궤미분방정,구해출묘술진동수력적수궤과정,종이급출저충진동수력적계산화모의방법.기결과가인신도재류체중운동적물체,여대기중적각충비행기급기부건적진동모의이급수명예측등응용연구영역.
Laying underwater pipelines for oil and gas has the advantages of convenient construction and economical investment. But once the underwater section of the pipeline is damaged, it is not easy to find the broken points and difficult to repair. It is very important to study the analysis of vibration on the underwater pipelines. Starting from the analysis of the forces on the pipelines, in this paper, the stochastic differential equation that describes the vibration of underwater pipelines has been established, then the random process that describes random vibration was solved and the simulated algorithm of random vibration was given. This results may be applied to the moving body in the fluid, such as the vibration simulation of the various aircrafts and their parts in the atmosphere, and the applied field of the life forecast.