基于8节点平面单元的RC梁柱节点单元

为了分析RC框架结构的非线性滞回性能,基于平面8节点单元,本文提出了一个新的针对受循环荷载作用钢筋混凝土的梁柱节点单元．单元中梁与节点交界面和柱与节点交界面被划分成“节点截面”和“梁柱截面”,节点核心区的力学性能由8节点单元描述,而梁柱受力钢筋与节点核心区的粘结滑移由存在于“节点截面”和“梁柱截面”之间的8根弹簧控制,梁柱与节点之间的剪切由4根剪切弹簧表示．单元具有4个外节点和8个内节点,每个内节点具有2个自由度,每个外节点具有3个自由度,该3个自由度与普通梁单元一致,从而确保本单元能够同普通一维梁柱单元一起进行钢筋混凝土结构平面非线性分析．通过将内节点上的自由度依附到外节点上,单元在数值表现上具有4个节点和28个自由度．通过对比试验和模拟分析结果,验证了本模型适合于循环荷载作用下平面框架结构的非线性响应分析．     

钢筋混凝土平面框架节点单元BCJ⁃5N

本文基于四根刚臂梁结合12个外接一维单元建立了钢筋混凝土框架节点单元，单元具有5个节点15个 自由度，称之为“BCJ-5N”单元．每个节点具有3个自由度，与普通梁单元一致，从而确保本单元适合于同普 通一维梁柱单元一起进行钢筋混凝土结构平面非线性分析．单元考虑了梁受力钢筋在框架节点内的黏结滑移作 用，并通过钢筋混凝土梁正截面强度设计建立了梁端弯矩与截面转角关系的骨架曲线，结合Lowes加载卸载模 型，组成了完整的静力、动力分析的框架节点单元，并将其移植到 ABAQUS通用分析平台上，通过对两跨三 层钢筋混凝土框架结构的滞回分析和三跨三层钢筋混凝土框架结构的动力分析两个算例，验证了本模型适合于 进行循环荷载和动力荷载作用下平面框架结构非线性响应分析．     

应用平板壳单元DKQl6分析板壳结构的几何非线性

应用新近开发的四边形十六自由度离Kirchhoff平板壳单元DKQl6，分析了板壳结构的几何非线性问题，采用Total Lagrange格式，在小应交、中等转动的假定下，建立了该单元几何刚度阵和大位移矩阵．非线性方程采用位移引导或弧长引导的牛顿-拉夫森增量迭代法求解．讨论了网格和加载步效对收敛性的影响，通过对典型算例的计算以及与其它单元的比较，说明了DKQl6单元在板壳结构几何非线性分析中也有良好的精度．     

基于能量平衡原理的有限单元耦合方法

结构非线性数值计算分析应真实反映局部损伤破坏细节,以作为损伤演化全过程分析的依据。对同类构件,有限单元耦合方法可以解决破坏细节与整体模拟的空间尺度差异问题。基于能量平衡原理,建立了梁与实体单元、梁与壳单元以及壳与实体单元的耦合方程,适用于结构的损伤数值计算。对某RC框架结构原位推覆试验的损伤数值分析表明,有限单元耦合模型能正确反映整体结构的承载力和变形性能,并且能准确反映局部损伤破坏细节。     

高效双非线性平面梁单元算法研究

基于随转坐标法和场一致性原则发展了一种用于结构几何与材料双非线性分析的平面梁单元算法,并编制了相应的计算机程序。在随转坐标系下计入材料非线性,采用截面纤维积分法处理任意形状的平面梁单元截面并导出截面切线刚度矩阵,并利用虚功原理得到单元切线刚度矩阵,此过程无需迭代,因而使计算效率得到很大提高;几何非线性效应则通过变量在随转坐标系与结构坐标系之间的转换得以体现。用本文方法对肘式框架的几何非线性进行分析,计算结果与试验结果吻合良好;对简支梁进行分析,在只考虑材料非线性而不考虑几何非线性情况下,本文结果和已有文献结果与解析解的误差分别为1.5%和4.2%;在考虑几何与材料双非线性情况下,本文结果和已有文献结果与ANSYS程序解的误差分别为2.9%和5.9%,与已有文献结果相比,本文所得受力后期的荷载-位移曲线更接近实际情况。     

一种高阶非线性钢筋混凝土平板单元

在文献［１］高阶钢筋混凝土膜元的基础上，提出了一种具有１４个节点的高阶钢筋混凝土平板单元．钢筋混凝土材料模型仍采用Ｖｅｃｃｈｉｏ的抹平旋转裂缝模型，几何非线性仍采用所谓总体Ｌａｇｒａｎｇｅ列式法，非线性方程采用割线刚度位移增量迭代法．数值算例表明本文的方法是可靠的，高阶平板单元虽然列式复杂，但与低阶元相比，其计算量要少且精度要高     

钢筋混凝土框架—剪力墙结构非线性抗震分析的一种空间力学模型

将钢筋混凝土框架－剪力墙结构离散为能模拟梁、柱、墙抗震性能的单元，采用杆系－层间模型进行结构的非线性抗震分析。本文的空间力学模型可考虑局部楼板变形对结构地震反应的影响，并可沿任意角度输入相互垂直的两个地震动水平分量，适用于框架一剪力墙复杂结构的非线性抗震分析。     

考虑粘结滑移效应的型钢混凝土梁柱单元

本文建立了一种适用于型钢混凝土梁柱构件的非线性梁柱单元,并在建模中考虑了粘结滑移效应。根据型钢混凝土自由体的受力特点,建立了考虑界面粘结滑移时单元的控制微分方程和变形协调方程。基于有限单元柔度法和纤维模型的基本思想,选取了合适的力的插值函数。根据最小势能原理,推导了单元的柔度矩阵,提出了基于柔度法的单元状态确定方法。最...     

框架非线性分析的新梁柱单元

目前尚缺乏能在高轴力作用下简便地用于有限元分析的梁柱单元,本文所提出的单元运算简例,能以统一形式同时用于轴力P为拉（正）及压（负）的情况并在－3．8小于等于P／P,＜∞（P为杆的欧拉临界力）的范围内有极高的精度,实际上和作为精确解的稳定函数的精度相同,但能免除 稳定函数的精度相同,但能免除稳定函数需对轴力对拉,压及为零时采用三套不同公式的缺点,因此,该单元可用于所有实际框架结构的非线性分析,只需取一根杆件为一个单元,并且可简便地植入现有框架非线性分析程序中,文中还一些典型算例的分析结果,论证了单元的正确,高效和广泛适用性。     

空间网格结构几何非线性有限元分析方法的研究

在对 T.L/ U.L.法和 C.Oran梁柱单元有限元法进行系统研究比较的基础上 ,推导了结合以上两种理论的几何非线性有限元列式。C.Oran梁柱单元在分析轴力为主的结构时具有非常高的效率 ,但在分析纯弯曲问题时却存在很大困难。本文采用 VC 6 .0编制了面向对象的非线性有限元程序 ,对其进行了考题验算分析 ,得出了有用的结论。     

预应力混凝土平面杆系结构的有限元方法

建立了基于有限元方法的考虑材料和几何非线性的任意截面预应力混凝土平面杆系结构的数值分析模型,可用于模拟预应力混凝土大跨度梁、单向偏压细长柱等的非线性全过程结构响应。引入修正的Rodriguez截面模型确定截面切线刚度,其中混凝土的贡献通过截面边界顶点定义的梯形单元来实现;在此基础上利用传统的平面非线性杆单元导出了标准有限元公式。通过两个算例验证了该模型的可靠性和适用性。     

面向对象的钢筋混凝土有限元非线性分析程序设计

采用面向对象的程序设计方法，结合钢筋混凝土有限元非线性分析模型，利用MFC(Microsoft Foundation Class Library)建立了有关描述钢筋混凝土有限元非线性分析的类，包括混凝土单元类、钢筋单元类、粘结单元类、非线性计算类，并给出了这些类的描述和它的实现方法，并为钢筋混凝土有限元非线性分析程序采用更合理的面向对象的方法提供了思路。     

Analytical approach for the earthquake performance evaluation of repaired/retrofitted RC bridge piers using time-dependent element

In order to evaluate the seismic performance of damaged reinforced concrete members, particularly bridge piers, an inelastic time-dependent element is proposed. The proposed element enables increased characteristics due to structural intervention (i.e., repair or retrofitting) to be accurately reflected in the degraded strength and stiffness of the members. The inelastic time-dependent element having both birth and death times can freely be activated within the user-defined time intervals of interest during static and dynamic time-history analyses. Comparative studies are carried out for reinforced concrete bridge columns that are repaired and retrofitted. Analytical predictions incorporating the developed element show reasonable correlation with experimental results. Also conducted is a nonlinear time-history analysis of a reinforced concrete bridge under multiple earthquakes. Comparative analytical results confirm the applicability and effectiveness of the current development. It is thus expected that the present element is capable of providing salient features for the healthy evaluation of seismic performance of reinforced concrete members being repaired and retrofitted.     

Self-adaptive one-dimensional nonlinear finite element method based on element energy projection method

The element energy projection （EEP） method for computation of super- convergent resulting in a one-dimensional finite element method （FEM） is successfully used to self-adaptive FEM analysis of various linear problems, based on which this paper presents a substantial extension of the whole set of technology to nonlinear problems. The main idea behind the technology transfer from linear analysis to nonlinear analysis is to use Newton＇s method to linearize nonlinear problems into a series of linear problems so that the EEP formulation and the corresponding adaptive strategy can be directly used without the need for specific super-convergence formulation for nonlinear FEM. As a re- sult, a unified and general self-adaptive algorithm for nonlinear FEM analysis is formed. The proposed algorithm is found to be able to produce satisfactory finite element results with accuracy satisfying the user-preset error tolerances by maximum norm anywhere on the mesh. Taking the nonlinear ordinary differential equation （ODE） of second-order as the model problem, this paper describes the related fundamental idea, the imple- mentation strategy, and the computational algorithm. Representative numerical exam- ples are given to show the efficiency, stability, versatility, and reliability of the proposed approach.     

Dynamic response of a reinforced concrete slab subjected to air blast load

Reinforced concrete is the principal material for military engineering and nuclear power plant containment. However, impacts and explosions could completely destroy such structures, causing tremendous casualties and property loss. Hence, this study conducts an analysis on the propagation law of a blast pressure wave and the dynamic response of reinforced concrete structures under explosive pressure wave effects. This study uses proper state material parameters and equations and then applies the nonlinear finite element analysis software LS-DYNA to conduct a numerical simulation of a free-field explosion model. After comparison with the computed results from empirical equations and validating the reliability of the numerical analysis model, the destruction and influencing factors on reinforced concrete slabs, under the effects of a blast pressure wave, are investigated. The results can serve as a reference for future analysis and design.     

Finite element analysis of interfacial stresses in FRP–RC hybrid beams

The interfacial stresses in fiber reinforced plastic (FRP)–reinforced concrete (RC) hybrid beams were studied by the finite element method. The mesh sensitivity test shows that the finite element results for interfacial stresses are not sensitive to the finite element mesh. The finite element analysis then is used to calculate the interfacial stress distribution and evaluate the effect of the structural parameters on the interfacial behavior. It is shown that both the normal and shear stresses at the interface are influenced by the material and geometry parameters of the composite beam. This research is helpful for the understanding on mechanical behavior of the interface and design of the FRP–RC hybrid structures.