發(fā)布時(shí)間：2018-06-09 02:07

  本文選題：平面鋼框架 + QR法　； 參考：《廣西大學(xué)》2017年碩士論文

【摘要】：本文綜合考慮材料非線性和幾何非線性對(duì)平面鋼框架結(jié)構(gòu)的影響,基于層纖維模型和三段式線性分布剛度模型,利用VC6.0程序軟件編寫了平面鋼框架彈塑性分析的QR法計(jì)算程序。該程序既能很好地描述平面鋼框架結(jié)構(gòu)塑性沿桿件截面高度的漸變過(guò)程,又能描述塑性沿桿件長(zhǎng)度的漸變過(guò)程。另外,該程序摒棄了根據(jù)線性疊加原理確定結(jié)構(gòu)最不利內(nèi)力和采用計(jì)算長(zhǎng)度系數(shù)近似考慮結(jié)構(gòu)整體穩(wěn)定和局部穩(wěn)定的相關(guān)性的現(xiàn)行鋼結(jié)構(gòu)規(guī)范做法,免去了單個(gè)構(gòu)件逐一計(jì)算的繁瑣過(guò)程,大大提高了計(jì)算效率。本文主要研究方法如下:方法一:基于平截面假定和層纖維模型,考慮梁柱單元桿件截面瞬時(shí)抗拉剛度EA和截面瞬時(shí)抗彎剛度EI隨截面塑性沿截面高度的漸變,編制C語(yǔ)言程序Solve_EA_EI.c用于求解梁柱單元在塑性狀態(tài)下的桿件單元截面瞬時(shí)剛度值。方法二:介紹了 QR法的基本原理并利用QR方法對(duì)平面鋼框架進(jìn)行了相關(guān)分析。方法三:采用三段式線性分布剛度模型,推導(dǎo)了該分布塑性模型下的單元?jiǎng)偠染仃?包括一階彈塑性分析的單元?jiǎng)偠染仃嚭投A彈塑性分析的單元?jiǎng)偠染仃�。編制了平面鋼框架非線性分析的QR法計(jì)算格式,對(duì)相關(guān)典型文獻(xiàn)中的案例和有限元模擬結(jié)果進(jìn)行分析對(duì)比,驗(yàn)證了本文方法的高效性、實(shí)用性和精確性。研究表明:與集中塑性鉸模型相比,采用三段式線性分布塑性區(qū)模型對(duì)鋼框架結(jié)構(gòu)的側(cè)移具有增大作用,本文所采用的模型不但可以判斷塑性沿截面高度的漸變過(guò)程,還可以判斷塑性變形沿桿長(zhǎng)的漸變過(guò)程,克服了集中塑性模型將塑性限定在有限單元結(jié)點(diǎn)的缺陷,并且根據(jù)塑性區(qū)的漸變高度和漸變長(zhǎng)度,可以綜合評(píng)估塑性區(qū)的嚴(yán)重程度。利用文本編制的QR計(jì)算程序不但可以提高計(jì)算效率和計(jì)算精度,還能根據(jù)塑性的發(fā)展方向,初步估計(jì)結(jié)構(gòu)的薄弱層,為結(jié)構(gòu)的優(yōu)化設(shè)計(jì)提供新思路。同時(shí)考慮二階效應(yīng)時(shí),鋼框架頂層的側(cè)移量將進(jìn)一步增大,延性提高,整體極限承載力降低;另外結(jié)構(gòu)塑性擴(kuò)展順序與集中塑性交模型也略有不同,本文的結(jié)果準(zhǔn)確性相對(duì)較高。
[Abstract]:In this paper, considering the influence of material nonlinearity and geometric nonlinearity on plane steel frame structure, based on layer fiber model and three-segment linear distributed stiffness model, a QR program for elastic-plastic analysis of plane steel frame is developed by using VC6.0 program software. The program can not only describe the gradual change process of the plasticity along the height of the member section, but also describe the gradual change process of the plasticity along the length of the bar. In addition, the program abandons the current steel structure code which determines the most unfavorable internal force of the structure according to the principle of linear superposition and considers the correlation between the global and local stability of the structure by using the calculated length coefficient approximately. The calculation efficiency is greatly improved by eliminating the tedious process of calculating single component one by one. The main research methods of this paper are as follows: method 1: based on the assumption of plane section and fiber model, the transient tensile stiffness EA and the bending stiffness ei of Liang Zhu element members are considered. A C language program, SolveEAS EI.c, is developed to solve the transient stiffness of the member section of Liang Zhu element in plastic state. Method two: the basic principle of QR method is introduced and the correlation analysis of plane steel frame is carried out by using QR method. Method three: the element stiffness matrix under the distributed plastic model is derived by using the three-segment linear distributed stiffness model, including the element stiffness matrix of the first order elastic-plastic analysis and the element stiffness matrix of the second-order elastic-plastic analysis. The QR method for nonlinear analysis of plane steel frames is developed and compared with the results of finite element simulation in some typical literatures. The effectiveness, practicability and accuracy of the proposed method are verified. The results show that compared with the concentrated plastic hinge model, the three-segment linear distribution plastic zone model can increase the lateral displacement of the steel frame structure, and the model used in this paper can not only judge the gradual change process of the plasticity along the section height. It is also possible to judge the gradual process of plastic deformation along the bar length, overcome the limitation of the concentrated plastic model to limit the plasticity to the finite element node, and evaluate the severity of the plastic zone synthetically according to the gradient height and the gradual length of the plastic zone. The QR program compiled by the text can not only improve the calculation efficiency and accuracy, but also estimate the weak layer of the structure according to the development direction of plasticity, and provide a new way of thinking for the optimization design of the structure. At the same time, considering the second order effect, the lateral displacement of the top layer of the steel frame will further increase, the ductility will increase, and the overall ultimate bearing capacity will be reduced. In addition, the plastic expansion sequence of the structure is slightly different from that of the concentrated plastic joint model. The accuracy of this paper is relatively high.
【學(xué)位授予單位】：廣西大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TU391

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