波形鋼腹板組合梁的變形分析研究
本文選題:波形鋼腹板組合梁橋 + 剪切變形 ; 參考:《西南交通大學(xué)》2015年碩士論文
【摘要】:波形鋼腹板組合梁橋作為一種新型的組合結(jié)構(gòu)橋梁,它的變形特點(diǎn)有別于混凝土梁,和傳統(tǒng)的鋼-混組合梁也是有區(qū)別的。論文結(jié)合波形鋼腹板組合梁的剛度特征,考慮剪切變形、滑移效應(yīng)和體外預(yù)應(yīng)力筋應(yīng)力增量等影響,對(duì)其撓度計(jì)算方法進(jìn)行了較為系統(tǒng)的分析和研究。主要工作包括:(1)采用靜力法和能量變分法,分別建立了考慮剪切變形影響時(shí)波形鋼腹板組合梁的撓曲線微分方程。利用此撓曲線微分方程,得到了簡支波形鋼腹板組合梁在不同荷載作用下由剪切變形產(chǎn)生的跨中撓度的計(jì)算公式和短期折減剛度。通過與空間有限元模型進(jìn)行對(duì)比分析,表明理論計(jì)算公式是準(zhǔn)確的。根據(jù)理論計(jì)算和有限元分析,高跨比對(duì)波形鋼腹板組合梁剪切變形的影響較為顯著,并給出了在其撓度計(jì)算中是否應(yīng)考慮剪切變形影響的高跨比限值。(2)采用初等梁理論方法,對(duì)于目前常用的嵌入型和翼緣型兩種連接形式的簡支波形鋼腹板組合梁,建立了它們的相對(duì)滑移微分方程。在此微分方程的基礎(chǔ)上,得到了組合梁在不同荷載作用下因滑移引起的跨中附加撓度的計(jì)算公式和短期折減剛度。建立了空間有限元模型對(duì)理論計(jì)算公式進(jìn)行驗(yàn)證,理論計(jì)算值和有限元分析值均吻合良好;同時(shí)指出對(duì)于嵌入式連接,幾乎可以不考慮滑移對(duì)撓度的影響,而對(duì)于翼緣型采用栓釘連接鍵時(shí),滑移對(duì)撓度的影響比較顯著。(3)針對(duì)在彈性工作階段的體外預(yù)應(yīng)力波形鋼腹板組合梁,基于力筋和周圍混凝土滿足位移協(xié)調(diào)條件,建立了考慮二次效應(yīng)影響時(shí)體外力筋應(yīng)力增量的計(jì)算公式。對(duì)應(yīng)力增量的理論計(jì)算值和其他文獻(xiàn)的試驗(yàn)實(shí)測值進(jìn)行了分析比較,兩者吻合良好,驗(yàn)證了理論公式的正確性。同時(shí)考慮二次效應(yīng)和應(yīng)力增量的影響,建立了體外預(yù)應(yīng)力筋作用產(chǎn)生的跨中反拱度的計(jì)算公式。分析表明,彈性階段可忽略二次效應(yīng)對(duì)撓度的影響。(4)考慮剪切變形、滑移效應(yīng)和體外預(yù)應(yīng)力筋應(yīng)力增量三者對(duì)撓度的貢獻(xiàn),得到了簡支波形鋼腹板組合梁在不同荷載作用下跨中撓度的計(jì)算公式和短期綜合折減剛度。
[Abstract]:As a new type of composite structure bridge, the deformation characteristics of corrugated steel web composite beam bridge are different from that of concrete beam and traditional steel-concrete composite beam. Considering the stiffness characteristics of corrugated steel web composite beams and considering the effects of shear deformation, slip effect and stress increment of external prestressing tendons, the deflection calculation method is systematically analyzed and studied in this paper. The main works are as follows: (1) by using static method and energy variational method, the differential equations of torsion curve of composite beam with corrugated steel web are established respectively considering the effect of shear deformation. By using the differential equation of deflection curve, the calculation formula and the short-term reduction stiffness of the mid-span deflection caused by shear deformation of simply supported corrugated steel web composite beams under different loads are obtained. By comparing with the spatial finite element model, it is shown that the theoretical formula is accurate. According to the theoretical calculation and finite element analysis, the influence of height to span ratio on shear deformation of corrugated steel web composite beams is obvious, and the limit value of high span ratio should be taken into account in the calculation of deflection. (2) Elementary beam theory method is used. The differential equations of relative slippage of simply supported corrugated steel web composite beams which are commonly used at present are established. On the basis of the differential equation, the formulas for calculating the additional deflection in the span caused by slippage and the short term reduction stiffness of composite beams under different loads are obtained. The spatial finite element model is established to verify the theoretical calculation formula, and the theoretical calculation value is in good agreement with the finite element analysis value, and it is pointed out that the effect of slippage on deflection can hardly be considered for embedded connections. However, for flange type, the effect of slip on deflection is significant when the bolt connection is adopted. (3) for the externally prestressed corrugated steel web composite beam in elastic working stage, the displacement coordination condition is satisfied based on the force bar and surrounding concrete. A formula for calculating the stress increment of external force tendons considering the effect of secondary effect is established. The theoretical calculation value of stress increment is compared with the experimental data measured in other literature. The results agree well with each other and verify the correctness of the theoretical formula. At the same time, considering the influence of quadratic effect and stress increment, the formula for calculating the span-middle arch degree caused by the external prestressing tendons is established. The analysis shows that the effect of secondary effect on deflection can be neglected in elastic stage. (4) considering the contribution of shear deformation, slip effect and stress increment of external prestressing tendons to the deflection, The formulas for calculating the mid-span deflection of simply supported corrugated steel web composite beams under different loads and the short-term comprehensive reduction stiffness are obtained.
【學(xué)位授予單位】:西南交通大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類號(hào)】:U448.216
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