Buckling of circular, annular plates of continuously variable thickness used as internal bulkheads in submersibles

This paper deals with the determination of the critical load in the buckling of isotropic, circular annular thin plates whose thickness varies slightly according to an exponential law.The outer edge of the plate is elastically restrained against rotation while the inner boundary is free. Classical small-deflection theory is used. An hidrostatic pressure acting in the middle plane is considered.The eigenvalues of the problem are obtained by means of an analytical approach based on the optimized Rayleigh-Ritz method. It is shοwnι that the results are in good agreement from an engineering viewpoint, with those available in the literature.     

Elastic lateral-torsional buckling analysis of permanent means of access structure

International Maritime Organization (IMO) adopted a new regulation to request permanent means of access (PMA) for a regular inspection of ship structure. Horizontal platforms for an inspector to walk on should be provided at specified locations. The platform is attached perpendicular to longitudinal bulkheads or side shell like a common longitudinal stiffener. Since the platform is much wider than ordinary stiffeners, a mid-flat-bar is welded in the middle of the platform. The wide platform (i.e. the tall web plate) makes PMA structure prone to lateral torsional buckling prior to overall flexural Euler buckling subjected to axial compression. This study employs the Rayleigh-Ritz method to treat the elastic lateral-torsional buckling of the PMA structure. The deformation of the cross-section can be expressed using six independant parameters. Compared to the previous research for an ordinary stiffened plate (Hughes and Ma, 1996a), two additional parameters are employed to model the deformation of the mid flat bar. This study also proposes a new strain distribution of lateral bending introducing two respective neutral axes for the flange and the mid-flat-bar. Two mathematical models are developed for two cases; one without associated plating, and the other with both the plating and its rotational restraint. In the former, the coupling between the lateral torsional buckling (“tripping”) and the Euler buckling is investigated. In the latter, a plate rotational spring constant is suggested based on extended deformed shape of the plating. For each model, the validity of the proposed method is verified by a comparison with a number of linear buckling analyses carried out using the NASTRAN finite-element program.     

蛇形铺设管道触发水平向整体屈曲效果研究

海底管道在深海石油开发工程中有着广泛的应用,管道在工作时受到高温高压会触发水平向整体屈曲变形,蛇形铺管法是控制管道水平向整体屈曲变形的有效手段。采用数值模拟方法,对蛇形铺设管道的关键参数进行研究,分析关键参数对临界屈曲荷载和屈曲后截面应力应变状态的影响。对每一组蛇形铺设管道都设置了直线型铺设管道的对照组,对照组采用引入初始挠曲的方法激发水平向整体屈曲,初始挠曲程度与蛇形铺设管道相同。通过与直线型铺设管道的对比,显示了蛇形铺设管道在激发和控制屈曲方面的优势,并对不同土体阻力情况下蛇形铺设管道的实际效果进行了评估。结果表明,蛇形铺设管道的临界屈曲力和屈曲后的弯矩皆远小于直线型管道。蛇形铺设管道的临界屈曲力随圆心角θ增大而减小,随曲率半径R的增大而增大。增大跨度L、曲率半径R和圆心角θ都能有效减小蛇形铺设管道的截面弯矩。水平向土体阻力对蛇形铺设管道影响较大,水平向土体阻力较小时,蛇形铺设管道控制屈曲的效果更为明显。     

Shear strength of soil berm during lateral buckling of subsea pipelines

The soil resistance developed during temperature- and pressure-induced large lateral movements of shallowly embedded subsea flowlines is an important input parameter for the structural design process. A major source of uncertainty in calculation of the soil resistance is the undrained shear strength of the soil berm produced as the flowline moves across the seabed, which is affected by the level of remoulding. To investigate the effect of pipeline embedment and displacement amplitude on the shear strength of the berm, a set of centrifuge model tests was conducted on kaolin clay, involving laterally moving pipelines with constant embedments in the range 5%–35% of the pipe diameter. Back-analysis of the test results, using finite element limit analysis, showed that the shear strength of the soil berm is a function of pipe displacement amplitude, pipe embedment, and soil sensitivity. On the basis of these results, we propose that the overall berm undrained shear strength may be determined as a convolution of the shear strengths of its constituent soil elements. Finally, a formula is presented for calculating the shear strength of soil elements within the soil berm, and this is used to back-analyse the overall soil berm resistance from the model tests.     

褶皱相关断裂构造形成条件与发育机制:燕山中部露头尺度变形研究为例

总结了褶皱相关断裂发育机制的3个构造几何学模型:同心圆褶皱模型、膝折带褶皱模型和弯流褶皱模型。基于燕山中部中、新元古界地层中发育的5个露头尺度褶皱及其中、小型断裂构造的实例剖析,探讨了收缩变形过程中褶皱与断裂构造发育时序与褶皱相关断裂构造的产生机制。研究指出,规模与所在褶皱构造相当或略小的断裂构造当中,既有形成时间早于褶皱变形的断层,也有在褶皱变形过程中调节褶皱不同部位应变差异的褶皱相关断裂构造,而且卷入后期变形的早期断裂可能成为制约褶皱成核位置的影响因素,以及成为枢纽叠覆楔构造的形成方式之一。断层位移-距离曲线特征和断层与褶皱变形几何学、运动学关系分析,可用来判断断层、褶皱变形发生相对时序。认为影响褶皱相关断裂构造发育的机制主要有3种:(1)纵弯滑褶皱作用中,翼部顺层滑动受到限制而无法持续时,将通过断层向上切层的方式予以调节,从而形成翼部或转折端揳入逆冲断裂以及背离向斜和指向背斜逆冲断层;(2)各种因素导致的褶皱曲率变化是褶皱相关断裂产生的重要机制之一,褶皱曲率变化可由褶皱轴面的合并和新生直观反映,轴面合并引起褶皱曲率变化的层位,可能是诱发褶皱相关断裂,如背离向斜和指向背斜逆冲构造开始产生的重要部位;(3)能干性差异和强硬层之间距离较大的岩层组合发生纵弯褶皱变形时,软弱岩系在褶皱核部的聚集和逃逸,是迫使递进收缩的强硬层产生褶皱相关断裂构造的重要机制。     

球柱壳耐压舱体极限承载力研究

耐压舱设计是水下机器人的核心技术之一,其极限承载力研究是核心中的核心。针对球壳封盖加柱形壳体耐压舱,现行标准对于初始导入缺陷数值的确定往往过于保守,对于耐压舱体数量较多的无人潜水器来说,过大的设计质量是总体设计所无法接受的。首先采用装配体整体建模策略,建立复合屈曲的受力模型,将三大非线性影响因素同时引入到极限承载力研究中,提升了计算精度。然后分别针对确定性缺陷和非确定性缺陷结构开展极限承载力研究。最后,提出以0.23%的初始缺陷导入尺度作为球壳封盖加圆柱壳体的耐压壳体缺陷导入参数,给出了导入尺度的计算方法,并借助水压试验对上述参数的准确性进行验证。     

初始几何缺陷对UOE焊管屈曲压溃影响研究

UOE焊管经过一系列成型工艺可以得到高质量的成型结果,但管道截面仍存在一定初始几何缺陷,这将对管道性能产生明显影响。通过试验测定X65钢在循环载荷下的力学性能,并利用有限元分析软件对UOE焊管成型全过程进行模拟,分析主要成型参数对管道屈曲压溃压力的影响。分别采用有限元模拟和试验测量方法确定管道截面初始几何缺陷分布情况,并采用余弦函数形式拟合几何缺陷。结果表明,扩径阶段芯轴数目将对缺陷形式产生影响,且实际厚壁UOE管道几何缺陷形式更接近梨形而非椭圆形。评估厚壁UOE管道性能时,近似认为截面形式为椭圆形可能发生过于保守的问题。     

An empirical model for flexible pipe armor wire lateral buckling failure load

The current scenario of oil production in ultra deep waters challenges the design of flexible pipes since they have to withstand high pressures, temperatures and dynamic loads during operation. Amongst the known failure mechanisms in flexible pipes, armor wire lateral buckling is of uttermost importance as there is no undisputable model for its prediction. In this work, compressive failure load for tensile armor lateral buckling is calculated for a sample of 29 flexible pipes based on the resolution of a numerical model that considers force and moment equilibrium conditions and geometric compatibility relations from differential geometry concepts. The obtained results are fitted on an equation via symbolic regression. Thus, a simple empirical model to predict compressive failure load is proposed as a function of the radius of tensile armor, wire lay angle and torsional, normal and binormal bending stiffness of the wire cross section. The model assumes the absence of frictional distributed forces in the wire and curvature of the flexible pipe, therefore it provides conservative results. For the 29 flexible pipe sample, the mean absolute percentage error of the empirical results in view of the numerical results was 0.6%.     

基于ABAQUS的海底管道静水压溃压力的敏感性分析

局部屈曲压溃是海底管道发生稳定性破坏的一种形式,随着管道的刚度相对越来越柔,厚度相对越来越薄,管道发生屈曲压溃的问题也越来越突出。运用ABAQUS有限元分析软件进行管道的非线性屈曲分析,确定不同径厚比、初始椭圆度、轴向拉力和弯矩作用下的管道静水压溃压力,以分析静水压溃压力对这些因素的敏感性。     

壳体稳定性问题的研究进展

为探索大地震成因的物理机理,根据板壳理论的研究结果,综述多年来柔韧壳体非线性大挠度变形研究中与地震成因相关的壳体结构变形问题的研究进展、壳体结构变形过程中的稳定性问题。同时,介绍壳体曲率变化对其变形过程中稳定性的影响,期望能为探索大地震成因机理的研究提供某些有用的物理依据与理论基础。