波形鋼腹板組合箱梁的扭轉(zhuǎn)和畸變效應(yīng)分析
發(fā)布時間：2018-07-13 16:44
【摘要】：波形鋼腹板組合箱梁(CSW組合箱梁)作為一種新型的鋼混組合梁,具有經(jīng)濟性、高效性、施工便利性等優(yōu)點,在國內(nèi)外迅速得到推廣和發(fā)展。對于結(jié)構(gòu)整體構(gòu)造而言,波形鋼腹板與混凝土頂?shù)装逵杉羟羞B接件連接,箱梁的抗扭性能有所降低。CSW組合箱梁在荷載作用下的扭轉(zhuǎn)和畸變效應(yīng)是不可忽略的。本文以單箱單室直線型CSW組合箱梁作為研究對象,主要從約束扭轉(zhuǎn)和畸變效應(yīng)兩方面對其受力性能進行研究,主要開展了以下工作。對CSW組合箱梁的約束扭轉(zhuǎn)進行分析,首先假定荷載作用下CSW組合箱梁截面形狀保持不變,從純扭轉(zhuǎn)理論出發(fā),計入截面由扭轉(zhuǎn)產(chǎn)生的剪切變形。然后利用薄壁結(jié)構(gòu)中應(yīng)力應(yīng)變關(guān)系和翹曲應(yīng)力在組合箱梁截面內(nèi)滿足自平衡條件,推導出有關(guān)約束扭轉(zhuǎn)翹曲正應(yīng)力、翹曲剪應(yīng)力的計算表達式及約束扭轉(zhuǎn)控制微分方程,并以扭轉(zhuǎn)角、翹曲位移、翹曲雙力矩和扭矩為4個初參數(shù)求解微分方程。同時,針對約束扭轉(zhuǎn)問題中需要用到的CSW組合箱梁截面扭轉(zhuǎn)幾何特性,本文通過選取合理輔助極點,推導出扭轉(zhuǎn)中心、主扇性坐標、主扇性慣性矩及主扇性靜矩的簡便公式,并通過數(shù)值算例驗證了公式的正確性。結(jié)合算例分析簡支組合箱梁跨中作用集中扭矩時翹曲雙力矩沿梁長的變化,揭示了波形鋼腹板傾角對截面扭轉(zhuǎn)幾何特性的影響及翼緣板寬度和梁高等參數(shù)變化對翹曲正應(yīng)力的影響規(guī)律。對CSW組合箱梁的畸變效應(yīng)進行分析,通過定義混凝土頂?shù)装搴筒ㄐ武摳拱逑鄬τ诨冎行牡幕兘铅肈為畸變位移,忽略由于畸變截面變形產(chǎn)生的剪切應(yīng)變,建立了鋼腹板與混凝土底板兩部分畸變角分量之間的關(guān)系,推導出CSW組合箱梁畸變中心位置、角點應(yīng)力比以及組合箱梁畸變翹曲慣性矩的計算式�；谧钚菽茉�,建立了畸變控制微分方程,以畸變角、畸變翹曲位移、畸變翹曲雙力矩及畸變矩作為初參數(shù),求解微分方程,并導出CSW組合箱梁畸變翹曲正應(yīng)力的計算公式。對CSW組合箱梁的畸變翹曲正應(yīng)力與傳統(tǒng)混凝土箱梁結(jié)果進行對比,驗證CSW組合箱梁抗扭性能降低導致其畸變效應(yīng)顯著。同時通過數(shù)值算例分析,驗證了本文計算方法的正確性。按本文方法求得的翹曲應(yīng)力值與Ansys有限元計算值及其他文獻給出的計算結(jié)果吻合良好。
[Abstract]:As a new type of steel-concrete composite girder, the corrugated steel web composite box girder (CSW composite box girder) has the advantages of economy, high efficiency and convenient construction, and has been rapidly popularized and developed at home and abroad. For the whole structure, the corrugated steel web and concrete top and bottom slab are connected by shear connectors, and the torsion and distortion effects of CSW composite box girder under load can not be ignored. In this paper, single box single chamber linear CSW composite box girder is taken as the research object. The mechanical properties of CSW composite box girder are mainly studied from two aspects of constraint torsion and distortion effect. The main work is as follows. In this paper, the constrained torsion of CSW composite box girder is analyzed. Firstly, the shape of CSW composite box girder section is assumed to remain unchanged under the action of load. Based on the pure torsion theory, the shear deformation caused by torsion is taken into account. Then, using the stress-strain relation and warpage stress in thin-walled structure to satisfy the self-equilibrium condition in the section of composite box girder, the calculation expressions of constrained torsional warpage normal stress, warpage shear stress and constrained torsional control differential equation are derived. The differential equations are solved with four initial parameters: torsion angle, warpage displacement, warping double torque and torque. At the same time, aiming at the torsional geometry of CSW composite box girder used in constrained torsion problem, the simple formulas of torsional center, principal fan coordinates, principal fan moment of inertia and principal fan static moment are derived by selecting reasonable auxiliary poles. The correctness of the formula is verified by numerical examples. Combined with an example, the variation of warpage and double moment along the beam length is analyzed under the action of concentrated torque in the span of simply supported composite box girder. The influence of the inclination of the corrugated steel web on the torsional geometry characteristics of the section and the influence of the width of the flange plate and the height of the beam on the warpage normal stress are revealed. The distortion effect of CSW composite box girder is analyzed. By defining the distortion angle 緯 D of concrete top and bottom slab and corrugated steel web plate relative to the distortion center as distortion displacement, the shear strain caused by distortion section deformation is ignored. The relationship between the distortion angle components of steel web plate and concrete bottom slab is established, and the formulas for calculating the center of distortion of CSW composite box girder, the stress ratio of corner point and the distortion moment of inertia of composite box girder are derived. Based on the principle of minimum potential energy, the differential equation of distortion control is established. The differential equations are solved by taking distortion angle, distortion warping displacement, distortion warping double torque and distortion moment as initial parameters. The formula for calculating the distortion normal stress of CSW composite box girder is derived. The distortion normal stress of CSW composite box girder is compared with that of the traditional concrete box girder. It is proved that the distortion effect of CSW composite box girder is obvious due to the decrease of its torsional resistance. At the same time, the correctness of the method is verified by numerical examples. The warpage stress obtained by the method in this paper is in good agreement with the Ansys finite element method and other literatures.
【學位授予單位】：蘭州交通大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：U441
本文編號：2120075
[Abstract]:As a new type of steel-concrete composite girder, the corrugated steel web composite box girder (CSW composite box girder) has the advantages of economy, high efficiency and convenient construction, and has been rapidly popularized and developed at home and abroad. For the whole structure, the corrugated steel web and concrete top and bottom slab are connected by shear connectors, and the torsion and distortion effects of CSW composite box girder under load can not be ignored. In this paper, single box single chamber linear CSW composite box girder is taken as the research object. The mechanical properties of CSW composite box girder are mainly studied from two aspects of constraint torsion and distortion effect. The main work is as follows. In this paper, the constrained torsion of CSW composite box girder is analyzed. Firstly, the shape of CSW composite box girder section is assumed to remain unchanged under the action of load. Based on the pure torsion theory, the shear deformation caused by torsion is taken into account. Then, using the stress-strain relation and warpage stress in thin-walled structure to satisfy the self-equilibrium condition in the section of composite box girder, the calculation expressions of constrained torsional warpage normal stress, warpage shear stress and constrained torsional control differential equation are derived. The differential equations are solved with four initial parameters: torsion angle, warpage displacement, warping double torque and torque. At the same time, aiming at the torsional geometry of CSW composite box girder used in constrained torsion problem, the simple formulas of torsional center, principal fan coordinates, principal fan moment of inertia and principal fan static moment are derived by selecting reasonable auxiliary poles. The correctness of the formula is verified by numerical examples. Combined with an example, the variation of warpage and double moment along the beam length is analyzed under the action of concentrated torque in the span of simply supported composite box girder. The influence of the inclination of the corrugated steel web on the torsional geometry characteristics of the section and the influence of the width of the flange plate and the height of the beam on the warpage normal stress are revealed. The distortion effect of CSW composite box girder is analyzed. By defining the distortion angle 緯 D of concrete top and bottom slab and corrugated steel web plate relative to the distortion center as distortion displacement, the shear strain caused by distortion section deformation is ignored. The relationship between the distortion angle components of steel web plate and concrete bottom slab is established, and the formulas for calculating the center of distortion of CSW composite box girder, the stress ratio of corner point and the distortion moment of inertia of composite box girder are derived. Based on the principle of minimum potential energy, the differential equation of distortion control is established. The differential equations are solved by taking distortion angle, distortion warping displacement, distortion warping double torque and distortion moment as initial parameters. The formula for calculating the distortion normal stress of CSW composite box girder is derived. The distortion normal stress of CSW composite box girder is compared with that of the traditional concrete box girder. It is proved that the distortion effect of CSW composite box girder is obvious due to the decrease of its torsional resistance. At the same time, the correctness of the method is verified by numerical examples. The warpage stress obtained by the method in this paper is in good agreement with the Ansys finite element method and other literatures.
【學位授予單位】：蘭州交通大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：U441
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，本文編號：2120075
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