用链杆法求解中厚度地基上圆板

给出了环形均匀荷载作用下刚性下卧层上中厚度地基的沉陷系数和圆板挠度计算公式,使得一般中厚度地基上圆板的计算简单易行。用链杆法求解中厚度地基上圆板,大大地减小了求解问题的规模,计算效率显著提高。文中算例说明,半空间地基和文克勒地基都是中厚度地基的特殊情况。     

多块基础板与地基的相互作用

本文综合运用有限单元法和链杆法的基本原理及解题技巧,将弹性半空间地基和有限块基础板作为一个耦合系统进行分析。可以有效地求解任意边界条件和荷载作用下的多块基础板与地基的相互作用问题。     

三种方法下弹性地基梁挠度计算与对比

介绍了初参数法、链杆法和有限元法在弹性地基梁挠度求解过程中的应用,并通过实例对有限长梁的挠度进行了计算。结果表明,三种方法下的计算结果较为接近,后两种方法随着链杆(弹簧)数量的增加,其结果会有所增大,并且自由段挠度的增幅要大于跨中。     

三维层状地基竖向激振波阻板主动隔振分析

为了研究三维层状地基中波阻板的隔振效果,基于薄层法在研究层状介质中波的传播问题的高效性、边界单元法处理无限域问题的精确性,结合两种方法的优点,提出三维层状地基薄层法基本解答,利用薄层法格林函数建立半解析边界单元法,分别对上软下硬和上硬下软两种三维层状半空间地基中波阻板的隔振效果进行分析。研究表明:增加波阻板的厚度、提高波阻板的弹性模量可以显著提高隔振效果,分层土体厚度和土性参数对于径向和竖向的位移振幅衰减系数有较大影响。     

在水平和竖向荷载作用下结构的共同作用分析

介绍在平面矩形单元和板单元的基础上编制考虑法向、切向地基反力的上部结构、基础和地基的共同作用分析程序。利用本程序分析了不同工况下筏板基础的沉降变形,得出了选取筏板厚度的经济适用方法。     

考虑筒体结构刚度影响的筏板内力与变形研究

基于中厚板理论，考虑上部结构、基础与地基三者共同作用，以及土的非线性因素，采用有限单元法建立全三维模型，分析了筒体结构下桩筏基础中筏板的内力与变形。同时，讨论了筏板内力和变形的影响因素。     

筒体结构下筏板内力与变形的数值分析

考虑上部结构、基础与地基三者共同作用 ,采用中厚板理论 ,运用有限单元法 ,分析了筒体结构下桩筏基础中筏板的内力与变形。同时 ,讨论了筏板内力和变形的影响因素     

群桩复合地基褥垫层效用的数值分析

根据复合地基的工作特点,分析了桩土协调过程与褥垫层的调节作用,采用有限单元法,分析了带台群桩复合地基褥垫层效用,计算出不同褥垫层厚度对桩土应力比的影响。     

Winkler地基上有限板问题的计算

文献给出了Winkler地基上无限大板在集中力作用下的解。本文在此基础上,利用零阶柱函数的性质,导出了Winhler地基上无限大板在集中力偶作用下的解。对于有限板问题,采用补偿荷载法求解,可较好地解决此类问题。     

无单元法(EFM)在筏板基础计算中的应用

无单元法是一种新方法,其在板弯曲问题中的应用,尚未见报道。本文将无单元法用于弹性地基上筏板的挠度及内力的计算中,推导了筏板的无单元法刚度矩阵公式,编制了相应的无单元法计算程序,并给出了算例。计算结果表明,无单元法解决筏板基础问题的精度是令人满意的。因此,无单元法用于解决基础板的计算问题是合理可行的。     

上覆弹性板双层地基在移动荷载作用下的动力响应

 用Fourier变换及逆变换对移动荷载作用下路基路面系统的动力响应问题进行研究。考虑路基路面相互作用,假设一条形移动荷载作用在路面板的表面,地基以地下水位面为分界面分为双层,水位面以上为单相弹性土层,以下为饱和土层。考虑地基土层厚度有限,利用Lame对位移场的分解理论,引入势函数,并运用Fourier变换分别对弹性土层和饱和土层进行分析。在Fourier变换域内,结合边界条件,联立路面板、弹性土层和饱和土层的运动方程,得到土体竖向位移、应力和饱和土层内孔隙水压力的表达式;同时利用离散Fourier逆变换得到数值计算结果。计算结果表明,荷载速度、频率,饱和土层的渗透系数对地表竖向位移的影响很大;弹性土层厚度对竖向位移的影响依赖于荷载速度;弹性土层厚度以及弹性土层和饱和土层的相对刚度比对孔隙水压力有非常明显的影响。     

Analysis of laterally loaded short and long piles in multilayered heterogeneous elastic soil

A continuum-based method is developed for the analysis of laterally loaded piles in multilayered, heterogeneous elastic soil. The analysis considers the soil as a layered elastic continuum in which the modulus varies linearly or non-linearly with depth within each layer. Rational soil displacement fields are assumed and differential equations describing the pile and soil displacements are obtained using the principle of minimum potential energy. The differential equations describing the pile and soil displacements are solved using the Ritz method and the finite difference method, respectively, following an iterative numerical scheme. The analysis is used to study different pile geometries embedded in layered soil deposits with heterogeneity in each layer. The pile displacement, rotation, and maximum bending moment obtained from the analysis were found to be in good agreement with those obtained from an equivalent three-dimensional finite element analysis and from other studies available in the literature. The analysis can be used to obtain the pile head displacement, rotation, and maximum bending moment that can then be used in design.     

Simplified lower bound limit analysis of transversely loaded thin plates using generalised yield criteria

In this paper a simple method of deriving lower bound limit loads for thin plates is presented. This method is based on the method of elastic compensation, an iterative elastic technique, which has recently been extended to allow the analysis of structures using thin shell finite element analysis using generalised yield criteria. Here the method is modified to allow analysis of plates, including the effects of transverse shear. The elastic compensation method, combined with generalised yield criteria, is implemented using the finite element numerical analysis technique. Convergence studies are carried out and limit loads are obtained for a range of geometries, boundary conditions and loading. The calculated limit loads are compared with results available in the literature and with new elasto-plastic results and show that the method can be used to quickly obtain practical results.     

Strength of steel plates with both-sides randomly distributed with corrosion wastage under uniaxial compression

This paper presents the results of an investigation into the behaviour and ultimate strength characteristics of imperfect steel plates used in ships and other related marine structures. The analysed plates are suffering from general corrosion on their both surfaces and subjected to uniaxial in-plane compression. A series of elastic and elastic–plastic large deflection finite element analyses is performed on the both-sides randomly corroded steel plates. The effects of general corrosion are introduced into the finite element models using a specially developed random thickness surface model. The effects of random thickness reduction on the plate strength characteristics as a result of systematic variation of the involved parameters are evaluated.     

外部粘贴碳纤维或钢板加固梁中粘结界面应力分析

钢筋混凝土梁可采用外贴碳纤维或钢板条于梁底的方法进行补强加固。但是 ,在板条与梁底间的粘结界面端部将产生较大的沿粘结面的剪应力和垂直粘结面的正应力 ,这些应力将有可能造成外贴板条端部锚固失效 ,从而 ,使梁因板条的材料强度得不到充分发挥而提前破坏。目前 ,已有的计算界面应力公式都是在弹性理论基础上假定应力沿胶层厚度为常量 ,并且 ,忽略了板条端部的应力奇异现象而得到的。为此 ,对该类加固梁的胶层应力分布 ,特别是板条端部的应力 ,采用LUSAS有限元分析程序进行了详细的计算研究 ,对影响胶层应力分布的主要因素也进行了分析研究     

Effect of transverse shear strains on plates resting on elastic foundation using modified Vlasov model

A four-noded quadrilateral (PBQ4) and an eight-noded quadrilateral (PBQ8) plate bending element based on Mindlin plate theory are adopted for the analysis of thin and thick plates resting on elastic foundation using modified Vlasov model. The terms of vertical deflection stiffness matrix and shear deformation stiffness matrix of the subsoil are evaluated using finite element method, and presented in explicit forms. Selective reduced integration technique is used in addition to full integration technique for both the types of the elements to avoid shear-locking problem that occurs under the thin plate limit. It has been demonstrated that the performance of the eight-noded quadrilateral element is excellent for thin and thick plates on elastic foundation when selective-reduced integration technique is used. General conclusion can be drawn from the results that the effect of the shear strain on the behavior of the plate resting on subsoil is always quite small for free plates compare to the supported ones.     

Post-local-buckling of fiber-reinforced plastic composite structural shapes using discrete plate analysis

In this paper, post-buckling of rectangular composite plates rotationally restrained at the longitudinal unloaded edges and subjected to end shortening strain at the simply-supported loaded edges is analyzed using the first-order shear deformation plate theory-based spline finite strip method, and its application to post-local-buckling of fiber-reinforced plastic (FRP) composite structural shapes is illustrated with discrete plate analysis. Two cases of elastically- and rotationally-restrained plates are analyzed using the spline finite strip method: rotationally-restrained along both the unloaded boundary edges (RR) and one rotationally-restrained and the other free along the unloaded edges (RF). The two cases of rotationally-restrained plates (i.e., the RR and RF plates) are further treated as the discrete plates of closed and open section FRP shapes, and by considering the effect of elastic restraints at the joint connections of flanges and webs, post-local-buckling of various FRP shapes under end shortening is studied. The numerical comparisons with the finite element modeling demonstrate that the proposed discrete plate analysis technique and spline finite strip method can be used as an efficient and valid tool for post-local-buckling analysis of FRP shapes.     

Analysis and shape optimisation of variable thickness prismatic folded plates and curved shells — Part 2: Shape optimisation

This paper deals with the development of computational tools for structural shape optimisation of shells and folded plates in which the strain energy or the weight of the structure is minimised subject to certain constraints. Both thickness and shape variables defining the cross-section of the structure are considered. The analysis is carried out using curved, variable thickness finite strips formulated and tested in Part 1 of this paper. Optimal shapes are presented for several shells and folded plates of variable thickness including plates on elastic foundation. The changes in the relative contributions of the bending, membrane and shear strain energies are monitored during the whole process of optimisation. The tools developed in the present work can be used as an aid to structural engineers in designing novel forms for shells and folded plates and provide valuable insight into the structural behaviour. It is concluded that the finite strip method offers an accurate and inexpensive tool for the optimisation of a wide class of structures having regular prismatic-type geometry with diaphragm ends.     

基于改进Vlasov模型的弹性地基上平板横向剪应变分析

运用Vlasov模型对弹性基础上的薄板和厚板进行分析,采用了基于Mindlin板理论的4结点四边形和8结点四边形弯曲单元。运用有限元法对底层土的竖向挠度刚度矩阵和剪切变形刚度矩阵进行推算。针对2种类型的板单元,采用完全积分方法和选择性简化积分方法进行分析,以避免极限状态下薄板的剪切闭锁问题。研究发现：在选择性简化积分方法中,8结点四边形板单元非常适用于分析弹性基础上的薄板和厚板。结果表明：相比有支撑的平板,剪应变对底层土上无支撑平板的影响非常小。