Energy method for the geometric non - linear analysis of higher bridge piers 高橋墩幾何非線性分析的能量法
From the elasticity variational principle , the governing dynamic differential equations of the geometric non - linear beam with large deflection is deduced 摘要通過彈性力學變分原理建立了大撓度非線性梁的控制微分方程組。
This paper is concentrated on the space geometric non - linear static analysis and vibration analysis of the long span plate - truss composite cable - stayed bridges . 1 本文是針對大跨徑板桁結合斜拉橋的空間幾何非線性靜力分析及結構的動力分析兩個方面而展開研究工作的。
Finally , the author has made some suggestions and data about geometric non - linear effect and spatial self - bracing function on aseismatic design of multi - storey and highrise concrete frame structure 最后,對抗震設計中考慮幾何非線性效應及空間相互作用對多高層框架結構的影響提供一些參考建議和資料。
A space geometric non - linear static finite element analysis program about the long span plate - truss composite cable - stayed bridges is presented . not only it can be used to solve the space static analysis about the state of the dead load configuration ( geometry and internal forces ) , but also it can be used to analyze the internal forces and deformations of the whole construction course 基于以上理論,并結合斜拉橋的施工過程,編制了大跨徑斜拉橋的空間幾何非線性靜力分析程序,既可用于斜拉橋成橋狀態(tài)的空間靜力分析,也可結合斜拉橋的具體施工過程,進行施工過程中的內(nèi)力與變形狀態(tài)的跟蹤分析。
Abstract : based on the principle of mininmum potential and using rayleigh - ritz method , the geometric non - linear analysis of higher bridge piers was solved in this paper . the new concept of equivalent horizontal force proposed by the author may be casily to calculate the second effect , which was produced due to the vertical forces and resisted by the piers and rubber pad bearings incorporately . the simple formula in this paper are applicable to calculate by hand , understood clearly without computation of successive iteration , higher precision and graspable easily for the disigmer therefore it has the practical significance 文摘:根據(jù)最小勢能原理,用瑞雷-里茲法解決了高橋墩的幾何非線性分析問題;其次,提出了等效水平力的新概念,可以方便地解決橋墩和板式橡膠支座聯(lián)合抵抗垂直力所產(chǎn)生的二次效應問題.筆者提出適合于手算的簡便計算公式,概念明確,勿須迭代運算,精度較高,易為設計人員掌握,因此具有實用價值
In this thesis , it is the first time that both 3d analysis concerning material and geometric non - linear and test research have been carried on the staggered truss system . supported by the science and technical research foundation of ministry of education ( no . 99089 ) , the national natural science foundation ( no . 50078021 ) and college doctor foundation of ministry of education ( no . 2000053203 ) , this thesis is aimed at offering convicting evidence for the coming 《 technical specification for steel structure of light - weight building systems 》 本文結合教育部科學技術研究重點項目(項目號99089 ) ,和國家自然科學基金(批準號50078021 ) 、高校博士點基金(批準號2000053203 )等資助項目,首次對交錯桁架結構體系展開空間三維的二階彈塑性全過程分析和模型試驗研究,旨在為該結構在工程中的應用提供設計依據(jù),為我國制定《輕型房屋鋼結構技術規(guī)程》提供理論基礎。
It is studied in this paper by large - scale universal program ansys the problem about geometric non - linear effect on earthquake - resistant behavior of multi - storey and highrise concrete frame structure under strong - motion earthquake and is also analyzed in full spatial self - bracing function which is ignored by planar model of multi - storey and highrise concrete frame structure 本文主要運用大型通用有限元程序ansys研究幾何非線性效應對多高層混凝土框架結構在強震作用下抗震性能的影響問題,另外,對多高層混凝土框架結構取平面模型所忽略的空間相互作用也詳加分析。
Three circumstances on the geometric non - linear analysis are considered : the sag phenomenon of cables the nonlinear behavior of bending members and the geometry change due to large displacement . the non - linear behavior of cables is verified by introduced the ernst cable modulus of elasticity and cr formation is applied to analyze the non - linear of beams . an incremental - iterative method based on the newton - raphson method is adopted here to solve the non - behavior equations 幾何非線性分析主要考慮三個方面:索的垂度效應、梁柱效應和結構大位移,其中:索的非線性分析采用ernst彈性模量對索材料的彈性模量進行修正,計及索的垂度效應的方法;梁單元的非線性分析采用cr列式法,計算中采用基于newton - raphson法的增量迭代方法求解非線性方程組。
Firstly , related to the problem about many kinds of geometric non - linear factors and shear deformation which are not differentiated definitely in a lot of studies , several kinds of beam element stiffness matrices respectively corresponding to geometric non - linear factors and shear deformation are derived as far as planar beam element is concerned and geometric non - linear factors of beam element in frame structure are analyzed systematically 本文首先針對眾多研究中對多種幾何非線性因素及剪切變形等不加以明確區(qū)分的問題,以平面桿單元為例,分別推出與多種幾何非線性因素及剪切變形相對應的桿單元剛度矩陣,系統(tǒng)闡述框架分析中桿單元的幾何非線性因素。