哈尔滨工程大学学报
哈爾濱工程大學學報
합이빈공정대학학보
Journal of Harbin Engineering University
2015年
9期
1170-1176
,共7页
钢悬链立管%J型铺设%悬链线%大变形梁%摄动法%分段力学模型
鋼懸鏈立管%J型鋪設%懸鏈線%大變形樑%攝動法%分段力學模型
강현련립관%J형포설%현련선%대변형량%섭동법%분단역학모형
steel catenary riser%J lay%catenary method%large deflection beam%perturbation%piecewise mechanics model
为获得J型铺设解析方法,研究了深水钢悬链立管的J型铺设作业过程中的静力分析,引入一种称为分段力学模型的优化模型. 首先基于悬链线理论建立悬链线模型进行求解,然后在悬链线模型的基础上对立管进行分段计算,变形大的区域使用大变形梁理论,依据奇异摄动法渐近展开二阶非线性微分控制方程,其余区域使用悬链线理论重新求解,最后合成两部分结果为整体解. 与悬链线理论和大变形梁理论对比分析之后发现,分段力学模型对边界条件满足较好,计算结果与高精度的大变形梁理论结果相当. 同时,使用分段力学模型来分析了湿重以及刚度的参数敏感性影响.
為穫得J型鋪設解析方法,研究瞭深水鋼懸鏈立管的J型鋪設作業過程中的靜力分析,引入一種稱為分段力學模型的優化模型. 首先基于懸鏈線理論建立懸鏈線模型進行求解,然後在懸鏈線模型的基礎上對立管進行分段計算,變形大的區域使用大變形樑理論,依據奇異攝動法漸近展開二階非線性微分控製方程,其餘區域使用懸鏈線理論重新求解,最後閤成兩部分結果為整體解. 與懸鏈線理論和大變形樑理論對比分析之後髮現,分段力學模型對邊界條件滿足較好,計算結果與高精度的大變形樑理論結果相噹. 同時,使用分段力學模型來分析瞭濕重以及剛度的參數敏感性影響.
위획득J형포설해석방법,연구료심수강현련립관적J형포설작업과정중적정력분석,인입일충칭위분단역학모형적우화모형. 수선기우현련선이론건립현련선모형진행구해,연후재현련선모형적기출상대립관진행분단계산,변형대적구역사용대변형량이론,의거기이섭동법점근전개이계비선성미분공제방정,기여구역사용현련선이론중신구해,최후합성량부분결과위정체해. 여현련선이론화대변형량이론대비분석지후발현,분단역학모형대변계조건만족교호,계산결과여고정도적대변형량이론결과상당. 동시,사용분단역학모형래분석료습중이급강도적삼수민감성영향.
In order to obtain an analytic method for J lay installation, a static analysis was made of the J lay installa-tion process of a deepwater steel catenary riser, then introduced an optimized model called the piecewise mechanics model. First the catenary model based on the catenary theory was established and solved. Then the riser was compu-ted piece by piece, based on the catenary model, applying large deflection beam theory for the area with large de-formation, and developed asymptotically the 2nd-order nonlinear differential control equation on the basis of a sin-gular perturbation equation. This process was repeated using catenary theory for the remaining areas. Last, the re-sults of the two parts were combined into an overall solution. A comparison of the piecewise mechanics model with the catenary riser theory and large-deflection beam theory, shows that the piecewise mechanics model meets the boundary conditions very well, the computation result matches the result of high-precision large-deformation beam theory. The piecewise mechanics model can also be used to analyze the influence of wet weight and stiffness on pa-rameter sensitivity.