【摘要】：雙懸臂梁橋結(jié)構(gòu)簡單,不會由于墩臺不均勻沉陷而引起附加應(yīng)力,是一種適宜在軟基上修建的橋型。目前對于簡支梁和懸臂梁的整體穩(wěn)定性研究已基本成熟,然而雙懸臂梁由于存在兩端懸臂,其邊界條件與受力特點(diǎn)比簡支梁和懸臂梁復(fù)雜。而到目前為止,關(guān)于對雙懸臂梁的彎扭屈曲的研究及成果卻很少,而相關(guān)文獻(xiàn)以及各國規(guī)范當(dāng)中也沒有提出簡明可靠的受彎構(gòu)件整體穩(wěn)定承載力的計算表達(dá)式。本文則是研究鋼主梁雙懸臂梁橋的整體穩(wěn)定性問題。基于瑞利-里茲能量法理論分析了簡化成簡支梁的雙懸臂梁的整體穩(wěn)定性能,推導(dǎo)得到了橫向荷載作用下的雙懸臂梁整體穩(wěn)定臨界彎矩的近似計算公式。并將簡化計算公式的計算結(jié)果與有限元分析結(jié)果進(jìn)行了比較,兩者的計算結(jié)果吻合較好,但簡化公式結(jié)果稍小,對于結(jié)構(gòu)偏安全。同時利用有限元方法對受彎的工字鋼梁的整體穩(wěn)定臨界彎矩進(jìn)行參數(shù)分析,選取參數(shù)為不同荷載形式、扭轉(zhuǎn)剛度系數(shù)、簡支跨跨度、荷載作用點(diǎn)位置、截面高度、懸伸比。分別計算各參數(shù)對鋼梁彎扭屈曲性能的影響。采用SPSS數(shù)據(jù)分析軟件進(jìn)行多元線性回歸,提出了雙懸臂梁在均布荷載和集中荷載作用下臨界彎矩的設(shè)計建議公式,根據(jù)荷載形式、懸伸長度、和荷載作用點(diǎn)高度的不同,所提出設(shè)計建議公式的具體參數(shù)也有所不同。參照《鋼結(jié)構(gòu)設(shè)計規(guī)范》(GB50017—2003)中簡支梁的整體穩(wěn)定系數(shù)的計算表達(dá)式,結(jié)合回歸分析得到的結(jié)果,提出雙懸臂受彎鋼梁的彈性屈曲臨界彎矩的計算方法。
[Abstract]:Double cantilever beam bridge is a kind of bridge which is suitable for soft foundation because of its simple structure and no additional stress caused by uneven settlement of pier and abutment. At present, the research on the overall stability of simply supported beam and cantilever beam has been basically mature. However, the boundary conditions and stress characteristics of double cantilever beam are more complicated than that of simple supported beam and cantilever beam because of the existence of cantilever at both ends. Up to now, there are few researches and results on the bending and torsional buckling of double-cantilever beams, and there is no concise and reliable formula for calculating the overall buckling capacity of bending members in the relevant literature and national codes. In this paper, the whole stability of steel main girder double cantilever bridge is studied. Based on the Rayleigh Ritz energy method, the global stability of a double cantilever beam simplified as a simply supported beam is analyzed, and the approximate formula for calculating the critical moment of global stability of a double cantilever beam under transverse load is derived. The results of the simplified formula are compared with the results of finite element analysis. The calculated results agree well with the results of the finite element analysis, but the results of the simplified formulas are slightly smaller, which is relatively safe for the structure. At the same time, the finite element method is used to analyze the critical bending moment of I-beam. The parameters are chosen as different load forms, torsional stiffness coefficient, span of simply supported span, position of load point, cross-section height and ratio of suspension and extension. The effects of various parameters on the flexural and torsional buckling behavior of steel beams were calculated. By using SPSS data analysis software to carry out multivariate linear regression, a formula for the design of critical bending moment of double cantilever beam under uniform load and concentrated load is proposed. According to the load form, the length of suspension, and the height of load acting point, the formula is proposed for the design of critical bending moment of double cantilever beam under uniform load and concentrated load. The specific parameters of the proposed formula are also different. According to the expression of the overall stability coefficient of simply supported beam in GB50017-2003 and the result of regression analysis, a method for calculating the critical moment of elastic buckling of steel beam with double cantilever bending is proposed.
【學(xué)位授予單位】：長沙理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：U441

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