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基于彈性模量縮減法研究拱形結構穩(wěn)定承載力

發(fā)布時間:2019-06-27 11:21
【摘要】:拱形結構既滿足人們生活的實用性要求,又具有較高的觀賞價值,在土木工程領域得到廣泛的運用,其穩(wěn)定承載力的研究是當今的熱點課題。對于工程結構的極限承載力分析而言,彈性模量縮減法(EMRM)具有良好的計算效率、計算精度以及穩(wěn)定性。為此,本文基于EMRM開展了拱形結構穩(wěn)定承載力研究,主要工作和成果有:(1)開展了圓形截面鋼管混凝土(CFST)構件承載力研究。通過收集并建立了包含531個軸壓構件、94個純彎構件和384個壓彎構件的試驗數(shù)據(jù)庫,并據(jù)此對比了四本國外規(guī)程、兩本國內(nèi)規(guī)程和一本CFST專著中承載力相關方程的精度和適用性,綜合確定以鐘善桐(2006)專著的承載力相關方程計算圓形CFST構件承載力。(2)建立了具有廣泛適用性的工字型截面鋼構件和圓CFST構件穩(wěn)定齊次廣義屈服函數(shù)(HGYF)。首先利用工字型截面鋼構件和圓CFST構件承載力相關方程,建立相應的截面廣義屈服函數(shù)(GYF)。然后考慮穩(wěn)定因素影響,建立適用于含待定參數(shù)的GYF齊次化策略,進而建立了廣泛適用性的工字型截面鋼構件和圓CFST構件穩(wěn)定HGYF,有效地克服了 GYF出現(xiàn)穩(wěn)定性差和計算精度欠佳等問題,同時避免了傳統(tǒng)齊次化策略需對含待定參數(shù)GYF進行重復開展回歸分析。(3)建立了工字型截面鋼拱穩(wěn)定承載力分析的EMRM。利用線彈性梁單元建立工字型截面鋼拱有限元計算模型,并結合EMRM計算拱形鋼結構的穩(wěn)定承載力,最后與試驗值及數(shù)值方法的計算值對比分析,驗證本文方法具有較高的計算精度和效率,確定了適用于工字型截面鋼拱穩(wěn)定承載力分析的HGYF。(4)研究建立了圓形截面CFST拱橋穩(wěn)定承載力分析的EMRM。首先基于CFST統(tǒng)一理論,利用單一組合材料線彈性梁單元建立CFST拱橋有限元分析模型,并結合EMRM分析確定CFST拱橋穩(wěn)定承載力,對比了穩(wěn)定承載力和強度承載力的區(qū)別,討論了不同穩(wěn)定系數(shù)和穩(wěn)定HGYF對計算結果的影響,進而通過與試驗結果及增量非線性有限元法(INFEM)結果對比分析,驗證了本文方法具有較高的計算精度和效率,克服了 INFEM的缺陷。最后綜合分析了矢跨比、長細比、含鋼率、混凝土強度以及荷載作用方式等參數(shù)對圓形截面CFST拱穩(wěn)定承載力的影響規(guī)律,為結構設計與分析提供借鑒。
[Abstract]:Arch structure not only meets the practical requirements of people's life, but also has high ornamental value. It has been widely used in the field of civil engineering. The research of its stable bearing capacity is a hot topic nowadays. For the ultimate bearing capacity analysis of engineering structures, the elastic modulus reduction method (EMRM) has good calculation efficiency, calculation accuracy and stability. Therefore, based on EMRM, the stability bearing capacity of arch structure is studied in this paper. the main work and achievements are as follows: (1) the bearing capacity of concrete-filled steel tubular (CFST) members with circular section is studied. The experimental database of 531 axial compression members, 94 pure bending members and 384 compression and bending members is collected and established, and the accuracy and applicability of bearing capacity related equations in four foreign codes, two domestic regulations and one CFST monograph are compared. The bearing capacity of circular CFST members is calculated by using the bearing capacity correlation equation of Zhong Shantong (2006). (2) the homogeneous generalized yield function (HGYF). Of I-section steel members and circular CFST members with wide applicability is established. Firstly, by using the bearing capacity correlation equations of I-section steel members and circular CFST members, the corresponding generalized yield function (GYF). Is established. Then, considering the influence of stability factors, the GYF homogenization strategy suitable for the undetermined parameters is established, and then the stable HGYF, of I-section steel members and circular CFST members with wide applicability is established to effectively overcome the problems of poor stability and poor calculation accuracy of GYF. At the same time, the traditional homogeneous strategy needs to carry out repeated regression analysis of GYF with undetermined parameters. (3) the EMRM. for stable bearing capacity analysis of I-section steel arch is established. The finite element calculation model of I-section steel arch is established by using linear elastic beam element, and the stable bearing capacity of arch steel structure is calculated by EMRM. Finally, compared with the experimental value and numerical method, it is verified that this method has higher calculation accuracy and efficiency. HGYF. (4), which is suitable for the analysis of stable bearing capacity of I-section steel arch bridge, is established to analyze the stable bearing capacity of circular section CFST arch bridge. Firstly, based on CFST unified theory, the finite element analysis model of CFST arch bridge is established by using single composite material linear elastic beam element, and the stable bearing capacity of CFST arch bridge is determined by EMRM analysis. The differences between stable bearing capacity and strength bearing capacity are compared, and the effects of different stability coefficients and stable HGYF on the calculation results are discussed, and then compared with the experimental results and incremental nonlinear finite element (INFEM) results. It is verified that the proposed method has high calculation accuracy and efficiency, and overcome the defects of INFEM. Finally, the effects of rise-span ratio, slenderness ratio, steel content, concrete strength and load mode on the stable bearing capacity of circular section CFST arch are comprehensively analyzed, which provides a reference for structural design and analysis.
【學位授予單位】:廣西大學
【學位級別】:碩士
【學位授予年份】:2017
【分類號】:TU312

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