【作者】 王孟鸿；

【导师】 郝际平；

【作者基本信息】 西安建筑科技大学 ， 结构工程， 2003， 博士

【摘要】 与传统的钢结构设计相比，本文试图通过一次性结构计算完成钢结构的强度验算、整体稳定分析和局部稳定分析。在本文推导的非线性有限元理论基础上编制了《西建大三维空间钢结构高级分析程序(XJDAAST-H)》软件。此程序部分通过了陕西省教育厅委托建设部钢结构协会主持的鉴定，并利用此程序完成了陕西省自然博物馆球幕影院单层网壳的结构设计工作，最后还完成了两个相关结构试验。 本文在国内首次系统地开展了三维空间钢结构高级分析理论的研究。在弹塑性区分析理论方面进行了深入的探讨，得到了令人满意的应力分析结果，提出了在整体结构分析时考虑钢构件局部屈曲影响的设计方法，从而开创性地放弃了板件宽厚比规定的限制。在本文理论推导基础上开发了钢结构高级分析软件(XJDAAST)，与国内同类钢结构应用软件相比，在软件的理论分析深度方面有所创新。经算例比较和实际已建工程的检验，证明了理论推导和软件编制的正确性。 在理论分析和软件编制部分，本文立足于三维空间整体结构，从薄壁构件理论出发，主要做了以下五方面的工作。 (1)本文从更新Lagrange构形的虚位移原理出发，首次分别以拉、压和纯弯构件控制微分方程的解作为形函数，推导了三维空间钢构件的切线刚度矩阵。推导中，基于三维空间薄壁构件理论，考虑截面翘曲的影响，以Bernoulli平截面弯曲假定及Vlasov扭转理论为依据，突破了以往用插值函数作为形函数不能反映构件真实变形的弊端。 (2)本文首次在三维空间整体结构分析中考虑了各向同性损伤本构关系，并采用Von Mises屈服条件、Zeigler混合硬化模型和相关联的流动法则，建立起了三维空间钢结构的弹、塑性区分析模型。 (3)提出了在整体结构分析时考虑钢构件局部屈曲影响的设计方法，改变了以往通过宽厚比限制值控制局部失稳的设计方法。该方法首先将钢构件划分为空间板壳单元，再通过子结构法组装成三维空间薄壁构件参与空间整体计算。在半刚性连接节点分析中，采用Frye和Morris多项式模型模拟节点的半刚性性能，进而推导了16结点相对自由度壳元的弹塑性双重非线性单元刚度矩阵。通过内部消元法将内部自由度凝聚掉，而外部自由度则通过保持Bernoulli平截面弯曲假定和Vlasov的翘曲假定进行协调处理。 (4)基于本文的理论工作，编制了大型钢结构分析程序(XJDAAST)，该软件较国外的大型分析软件(ANSYS、SUP2000等)具有专业性强，使用方便的特点，充分考虑了钢构件的特性。与国内的钢结构应用软件相比，则具有较新的理论基础。为验证本文理论及程序的正确性，计 摘要一算了大量例题，经与Ansys计算结果的比较表明：本文理论正确、程序可靠、运行稳定。本软件能够跟踪分析任意空间结构中各种反弯点和极限荷载、并能够考虑结构的缺陷分布影响、求解三维空间钢结构屈曲模态和振动模态。进而分析钢构件任意截面、任意点的应力分布及塑性屈服状态，绘制截面的应力分布云图及循环荷载下的滞回曲线，绘制钢构件的局部屈曲变形图。 （5）最后，利用本文软件对“陕西省自然博物馆”这一直径 37．400米的单层球幕影院同壳进行了设计分析，该工程业已完工，得到了业主的肯定。在该项目的设计中还进行了两个相关结构试验，一是网壳模型的风压分布风洞试验，在西北工业大学低速风洞试验室进行。二是配合该项目节点构造要求所进行的毅形节点极限承载力试验，在西安建筑科技大学结构试验室 一进行。 本文的理论研究和程序编制部分属于结构非线性有限元分析的范畴，试图通过精确的非线性有限元分析，对钢结构进行辅助设计工作。其内容涵盖了杆单元和空间壳元两种单元形式，在编程上应用了面向对象设计的 VisualC＋十语言，方便了图形显示和菜单设计，在图形显示方面应用了开发者自己研制的图形显示系统，程序的运行以菜单引导、图形显示输入、输出。实践证明，本文所开发的《西建大三维空间钢结构高级分析程序（XJDAAST－H）》软件，可供服S构研究、设计人员，用来进行三维空间大型复杂钢结构的高级分析。较一般商用分析软件具有明显的实用性，对结构设计有较强的辅助作用，减轻了结构分析工作量，如果与现有的绘图软件（STS等）连接，可以达到实用绘图目的。更多还原

【Abstract】 Compared with conventional steel structure designing, the thesis tries to accomplish steel structural strength checking, integrate buckling analysis and local buckling analysis by one-step structure analysis . Based on the nonlinear finite element theory, the author has compiled an advanced analysis software--XJDAAST-H, which has partially passed identification that was presided by the Steel Structure Association of Construction Ministry which was entrusted by ShanXi province Education Office, and has been successfully used to design a structure which is a single layer shell in the sphere screen of ShanXi Province Nature Museum, and at the same time has done two correlative structure experiments.The thesis firstly and systematically develops the three dimension space steel structure advanced analysis theory study, deeply explores the elastic-plastic-zone analysis theory, gets the satisfied stress analysis results, puts forward the designing method considering the local buckling effective of steel components in integrate analysis, and initially abandons the restriction of plate width-thickness ratio. Based on the theory of the thesis, the author compiles a program (XJDAAST) which has some certain innovation in theory depth compared with the same kind of steel structure application program. The validity of theory and program has been verified by test example and practice project.In the part of theory analysis and software compiling, based on three-dimension space integrate structure and thin-wall structure theory, the thesis includes the following five parts:(1) The thesis begins with the virtual displacement principle based on the updated-Lagrange formula, firstly takes the solution of differential equation of pulK press and bending component as the shape function, and derives three dimension beam-column element’s stiff matrix in which the author takes the influence of intersection warping into account on the basis of Bernoulli bending plane-section premises and Vlasov’s torsion theory and breakthroughs the malpractice which takes the interposition-function as the shape function and does not reflect the real deformation of steelcomponents.(2) The thesis establishes the plastic-zone analysis model of three dimension space steel structure and firstly considers the constitutive relation based on isotropic damage , Von Mises yielding condition, Zeigler mixed hardening and correlation flow principle.(3) The thesis puts forward the designing method considering the local buckling effective of steel components in integrate analysis and initially abandons the restriction of plate width-thicknessratio. The author firstly uses space shell elements to partition the steel components, the uses the substructure-method to assemble the shell elements into a thin-wall structure component for participating in the integrate structure analysis. In this part, the author uses the Frey and Morris’s polynomial model to model the property of semirigid connection, derives the double nonlinear element stiff matrix of 16 nodes shell element, condenses the inner degree by the inner eliminating law, and coordinates the outer degrees by he Bernoulli plane-section premise and Vlasov warping premise.(4) Based on the nonlinear finite element theory, the author has compiled an advanced analysis program -XJDAAST-H which is more special and convenient than the foreign program Ansys and Sap2000, has some certain innovation in theory depth compared with domestic steel structure application program, and adequately considering the special property of steel components. The validity of theory and program has been verified by a number of test example and Ansys results. The program can be used to track the limit load and flex point of space structure, can take structural imperfection into consideration, gets the buckling model and vibration model of three- dimension steel structure, analyzes the elastic-plastic status or stress distributing of any intersection and any point and draws the nephogram of stress distributing, the hystere更多还原