CN102305739A - Method for performing stimulation test on stress of glass fiber reinforced plastic (GFRP) pipe steel reinforced high-strength concrete eccentric loading column - Google Patents
Method for performing stimulation test on stress of glass fiber reinforced plastic (GFRP) pipe steel reinforced high-strength concrete eccentric loading column Download PDFInfo
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Abstract
GFRP管钢骨高强混凝土偏压柱受力模拟测试方法,涉及一种建筑构件的测试方法,其特征在于,该方法包括在偏心受压荷载作用下的整个受力过程进行分析;基于平截面假定的有限条带法编制GFRP管钢骨高强混凝土偏压柱承载力计算程序;利用该程序计算得到荷载与变形的关系曲线,以及混凝土强度、长细比、偏心距、含骨率对荷载-变形的影响曲线进行测试分析;本发明测试分析后表明构件极限承载力随长细比的增大而减小,构件曲线的弹性阶段逐渐缩短,刚度逐渐丧失;构件极限承载力随偏心距的增大而减小;构件延性有所改善;构件极限承载力随混凝土强度的提高而提高,本发明测试分析结果与试验结果吻合良好,为实际设计提供依据。The GFRP tube-steel-reinforced high-strength concrete eccentric stress simulation test method relates to a test method for building components, which is characterized in that the method includes the analysis of the entire stress process under the action of eccentric compressive loads; it is based on the assumption of a plane section The calculation program for bearing capacity of GFRP tube steel-reinforced high-strength concrete eccentric column is compiled by the finite strip method; the relationship curve between load and deformation is calculated by using this program, and the relationship between concrete strength, slenderness ratio, eccentricity, and bone content ratio is load-deformation The impact curve of the component is tested and analyzed; after the test and analysis of the present invention, it is shown that the ultimate bearing capacity of the component decreases with the increase of the slenderness ratio, the elastic stage of the component curve is gradually shortened, and the stiffness is gradually lost; the ultimate bearing capacity of the component is increased with the increase of the eccentricity The component ductility is improved; the ultimate bearing capacity of the component increases with the increase of the concrete strength. The test analysis results of the present invention are in good agreement with the test results, which provides a basis for the actual design.
Description
技术领域 technical field
本发明涉及一种建筑构件的测试方法,特别是涉及一种GFRP管钢骨高强混凝土偏压柱受力模拟测试方法。 The invention relates to a testing method of a building component, in particular to a force simulation testing method for a GFRP tube steel-reinforced high-strength concrete bias column.
背景技术 Background technique
GFRP管钢骨高强混凝土柱是在缠绕成型的GFRP管中埋设型钢,然后填充混凝土而形成组合柱。该组合柱主要通过GFRP管对混凝土的约束,迫使混凝土处于三向受力状态,从而达到提高混凝土强度的目的。同时,钢骨分担了混凝土的部分轴力,致使组合柱的承载能力有所提高,外围混凝土阻止或缓解了钢骨局部屈曲现象的产生,是一种合理的组合结构形式。在实际工程中,由于荷载作用位置的不定性、混凝土不均匀性以及施工偏差等原因都可能产生偏心,形成偏心受压柱,所以偏心受压是GFRP管钢骨高强混凝土组合柱在实际工程中最主要的受力形式之一。为此,掌握其受力性能和一般规律对工程应用有着很重要的指导意义。目前,对该组合柱力学性能研究特别是在仿真分析方面的研究比较缺乏。 GFRP tube steel-reinforced high-strength concrete column is a composite column formed by embedding section steel in the wound GFRP tube and then filling it with concrete. The composite column mainly constrains the concrete through the GFRP pipe, forcing the concrete to be in a three-dimensional stress state, so as to achieve the purpose of increasing the strength of the concrete. At the same time, the steel frame shares part of the axial force of the concrete, which improves the bearing capacity of the composite column. The surrounding concrete prevents or alleviates the local buckling of the steel frame, which is a reasonable composite structure. In actual engineering, due to the uncertainty of the load position, concrete inhomogeneity and construction deviation, etc., eccentricity may occur, forming eccentric compression columns, so eccentric compression is the GFRP tube steel reinforced high strength concrete composite column in actual engineering. One of the most important forms of force. For this reason, mastering its mechanical properties and general laws has very important guiding significance for engineering applications. At present, there is a lack of research on the mechanical properties of the composite column, especially in the simulation analysis.
发明内容 Contents of the invention
本发明的目的在于提供一种GFRP管钢骨高强混凝土偏压柱受力模拟测试方法。基于平截面假定的有限条带法,编制了GFRP管钢骨高强混凝土偏压柱承载力模拟测试方法。该方法与试验结果吻合良好,为实际设计提供依据。 The object of the present invention is to provide a force simulation test method for a GFRP tube steel reinforced high-strength concrete eccentric column. Based on the finite strip method assuming a plane section, a simulation test method for the bearing capacity of GFRP tube steel-reinforced high-strength concrete eccentrically loaded columns was compiled. The method is in good agreement with the test results, which provides a basis for the actual design.
本发明的目的是通过以下技术方案实现的: The purpose of the present invention is achieved through the following technical solutions:
GFRP管钢骨高强混凝土偏压柱受力模拟测试方法,该方法包括在偏心受压荷载作用下的整个受力过程进行分析;基于平截面假定的有限条带法编制GFRP管钢骨高强混凝土偏压柱承载力计算程序;利用该程序计算得到荷载与变形的关系曲线,以及混凝土强度、长细比、偏心距、含骨率对荷载-变形的影响曲线进行测试分析;并依照以下步骤进行: GFRP tube-steel-reinforced high-strength concrete eccentrically-compressed column stress simulation test method, which includes the analysis of the entire stress process under eccentric compressive loads; Compression column bearing capacity calculation program; use this program to calculate the relationship between load and deformation, and test and analyze the influence curve of concrete strength, slenderness ratio, eccentricity, and bone content on load-deformation; and follow the steps below:
a. 根据试验现象,做出基本假定及采用模型; a. Based on the experimental phenomena, make basic assumptions and adopt models;
b. 进行相关公式推倒及程序编制; b. Carry out relevant formula deduction and programming;
c. 进行程序计算结果与试验结果对比; c. Compare the program calculation results with the test results;
d. 进一步分析参数对构件受力的影响; d. Further analyze the influence of parameters on the stress of components;
e. 列出分析测试结果。 e. List the analytical test results.
所述的GFRP管钢骨高强混凝土偏压柱受力模拟测试方法,所述的做出基本假定及采用模型为:截面应变沿平截面分布;只考虑跨中截面内、外力之间的平衡;构件两端为铰接,挠曲线为正弦半波曲线;钢和混凝土之间无相对滑移;混凝土及GFRP管的应力-应变关系按照式(1) ;式(2); The stress simulation test method of the GFRP tube-steel-reinforced high-strength concrete eccentric column, the basic assumption and the adopted model are: the section strain is distributed along the plane section; only the balance between the internal and external forces of the mid-span section is considered; The two ends of the member are hinged, and the deflection curve is a sinusoidal half-wave curve; there is no relative slip between steel and concrete; the stress-strain relationship between concrete and GFRP pipe is according to formula (1) ; Formula (2) ;
式(3)取用。 Formula (3) access.
所述的GFRP管钢骨高强混凝土偏压柱受力模拟测试方法,所述的进行相关公式推倒及程序编制,包括合成法迭代方程和对GFRP管钢骨高强混凝土偏压构件荷载-变形全过程计算程序GPYZL计算。 The stress simulation test method of the GFRP tube steel frame high strength concrete eccentric column, the described deduction of relevant formulas and programming, including the iterative equation of the synthesis method and the whole process of load-deformation of the GFRP tube steel frame high strength concrete eccentric component Calculation program GPYZL calculation.
所述的GFRP管钢骨高强混凝土偏压柱受力模拟测试方法,所述的进行程序计算结果与试验结果对比,根据编制的GFRP管钢骨高强混凝土偏压构件荷载-变形全过程计算程序GPYZL,计算与试验所得荷载-变形曲线的对比。 The stress simulation test method of the GFRP tube steel frame high strength concrete eccentric compression column, the comparison of the calculation results of the program with the test results, according to the compiled GFRP tube steel frame high strength concrete eccentric component load-deformation whole process calculation program GPYZL , Comparing the calculation with the load-deformation curve obtained from the test.
所述的GFRP管钢骨高强混凝土偏压柱受力模拟测试方法,所述的进一步分析参数对构件受力的影响,包括变化某一受力参数来计算分析偏压构件的荷载与挠度全过程曲线,具体分析长细比、偏心距、含骨率、混凝土强度,并列出结果。 The stress simulation test method of the GFRP tube-steel-reinforced high-strength concrete eccentric column, the further analysis of the influence of parameters on the stress of the component includes changing a certain stress parameter to calculate and analyze the whole process of the load and deflection of the eccentric component Curve, specifically analyze the slenderness ratio, eccentricity, bone content, concrete strength, and list the results.
本发明的优点与效果是: Advantage and effect of the present invention are:
本发明测试分析后表明构件极限承载力随长细比的增大而减小,构件曲线的弹性阶段逐渐缩短,刚度逐渐丧失;构件极限承载力随偏心距的增大而减小;构件延性有所改善;构件极限承载力随混凝土强度的提高而提高,本发明测试分析结果与试验结果吻合良好,为实际设计提供依据。 After the test and analysis of the present invention, it is shown that the ultimate bearing capacity of the member decreases with the increase of the slenderness ratio, the elastic stage of the member curve shortens gradually, and the stiffness gradually loses; the ultimate bearing capacity of the member decreases with the increase of the eccentricity; the ductility of the member decreases. The improvement; the ultimate bearing capacity of the component increases with the increase of the concrete strength, and the test and analysis results of the present invention are in good agreement with the test results, providing a basis for the actual design.
附图说明 Description of drawings
图1为本发明的计算方框图; Fig. 1 is a computing block diagram of the present invention;
图2a、图2b、图2c、图2d、图2e为本发明计算结果与试验结果的对比图; Fig. 2a, Fig. 2b, Fig. 2c, Fig. 2d, Fig. 2e are the comparison diagrams of the present invention's calculation results and test results;
图3a、图3b、图3c、图3d为本发明荷载-挠度关系曲线图。 Fig. 3a, Fig. 3b, Fig. 3c, Fig. 3d are load-deflection relationship curves of the present invention.
具体实施方式 Detailed ways
下面参照附图对本发明进行详细说明。 The present invention will be described in detail below with reference to the accompanying drawings.
为进一步研究GFRP管钢骨高强混凝土偏压柱的受力性能,本发明对其在偏心受压荷载作用下的整个受力过程进行分折。 In order to further study the mechanical performance of the GFRP tube-steel-reinforced high-strength concrete eccentric compression column, the present invention breaks down its entire stress process under the action of eccentric compression load.
本发明基于平截面假定的有限条带法,根据现有加固理论及相关技术规程编制了GFRP管钢骨高强混凝土偏压柱承载力计算程序。 The present invention is based on the finite strip method assumed by the plane section, and according to the existing reinforcement theory and relevant technical regulations, a calculation program for the bearing capacity of the GFRP tube steel reinforced high-strength concrete eccentric column is compiled.
本发明利用该程序计算得到荷载与变形的关系曲线,以及混凝土强度、长细比、偏心距、含骨率对荷载-变形的影响曲线,表明试件极限承载力随长细比的增大而减小,构件曲线的弹性阶段逐渐缩短,刚度逐渐丧失;试件极限承载力随偏心距的增大而减小;构件延性有所改善;试件极限承载力随混凝土强度的提高而提高,计算的结果与试验结果吻合良好,为实际设计提供依据。 The present invention uses this program to calculate the relationship curve between load and deformation, and the influence curve of concrete strength, slenderness ratio, eccentricity, and bone content on load-deformation, showing that the ultimate bearing capacity of the test piece increases with the increase of the slenderness ratio. Decrease, the elastic stage of the member curve shortens gradually, and the stiffness gradually loses; the ultimate bearing capacity of the specimen decreases with the increase of the eccentricity; the ductility of the member improves; the ultimate bearing capacity of the specimen increases with the increase of the concrete strength, the calculation The results are in good agreement with the experimental results, providing a basis for the actual design.
本发明的方法中首先要进行基本假定,根据试验现象,做出如下基本假定: First will carry out basic assumption in the method of the present invention, according to test phenomenon, make following basic assumption:
(1)截面应变沿平截面分布; (1) The section strain is distributed along the plane section;
(2)只考虑跨中截面内、外力之间的平衡; (2) Only consider the balance between internal and external forces in the mid-span section;
(3)构件两端为铰接,挠曲线为正弦半波曲线; (3) Both ends of the member are hinged, and the deflection line is a sinusoidal half-wave curve;
(4)钢和混凝土之间无相对滑移; (4) There is no relative slippage between steel and concrete;
(5)混凝土及GFRP管的应力-应变关系按照式(1)(2)(3)取用。 (5) The stress-strain relationship of concrete and GFRP pipes is taken according to formula (1) (2) (3).
GFRP管内的钢骨高强混凝土截面的强度采用如下模型。 The strength of the steel-reinforced high-strength concrete section inside the GFRP pipe is modeled as follows.
(1) (1)
式中,-GFRP管内的钢骨高强混凝土截面的轴压强度;-混凝土截面换算强度。 In the formula, - Axial compressive strength of steel-reinforced high-strength concrete sections inside GFRP pipes; - Conversion strength of concrete section.
GFRP管的轴向压应力采用如下模型。 The axial compressive stress of GFRP pipe adopts the following model.
(2) (2)
式中,-GFRP管的轴向应力;-GFRP管的环向应力; -GFRP管的环向弹性模量;-GFRP管的轴向弹性模量;-GFRP管的轴向应变; -GFRP管的轴向泊松比。 In the formula, - Axial stress of GFRP pipe; -Hoop stress of GFRP pipe; - hoop elastic modulus of GFRP pipe; - Axial modulus of elasticity of GFRP pipe; - Axial strain of GFRP tube; - Axial Poisson's ratio of the GFRP tube.
(3) (3)
对普通混凝土组合柱,利用公式(3)计算时,只需令即可;对高强混凝土组合柱,可直接利用公式(3)计算。式(3)中为混凝土强度影响系数,时,,对时=0.76,其他强度混凝土,值通过线性内插得到。 For ordinary concrete composite columns, when using formula (3) to calculate, it is only necessary to make That is enough; for high-strength concrete composite columns, formula (3) can be directly used for calculation. In formula (3) is the influence coefficient of concrete strength, hour, ,right hour =0.76, other strength concrete, Values are obtained by linear interpolation.
相关公式推倒及程序编制: Relevant formula deduction and programming:
合成法迭代方程 Synthetic Iterative Equation
根据纤维模型法的相关知识,在平行于中和轴方向,将钢骨、混凝土及GFRP管管壁的截面划分为许多条带,并假定每一条带上的应力是均匀分布的,钢骨上、下翼缘纵向受力按独立筋处理,假定GFRP管钢骨高强混凝土偏压试件截面形心处的应变为,根据平截面假定,则可以求出截面上任一条带的混凝土、钢骨、GFRP管的应力、、。 将截面划分为等份,每段对应圆心角为,根据平截面假定,可得截面上任一点处的应变为 According to the relevant knowledge of the fiber model method, in the direction parallel to the neutral axis, the section of the steel frame, concrete and GFRP pipe wall is divided into many strips, and the stress on each strip is assumed to be uniformly distributed. , The longitudinal force of the lower flange is treated as an independent reinforcement, assuming that the strain at the centroid of the section centroid of the GFRP tube steel frame high-strength concrete specimen is , according to the assumption of plane section, the stress of concrete, steel frame and GFRP pipe in any strip on the section can be obtained , , . Divide the section into Equal parts, each segment corresponds to a central angle of , according to the assumption of plane section, the strain at any point on the section can be obtained as
式中,-任一条带单元高度中心距截面形心的距离。 In the formula, - The distance between the height center of any strip unit and the centroid of the section.
根据假定(3),曲率值按下式计算; According to assumption (3), the curvature value is calculated by the following formula;
(4) (4)
根据力的平衡条件,得到基本迭代方程为: According to the force balance condition, the basic iterative equation is obtained as:
(5) (5)
(6) (6)
式中,-混凝土、GFRP管划分的条带单元的数量;-钢骨划分的条带单元的数量;、-分别为钢骨上下翼缘的应力;、-分别为钢骨上下翼缘的面积;、-分别为钢骨上下翼缘中心距截面形心的距离;、、-分别为混凝土、钢骨、GFRP管任一条带单元高度中心距截面形心的距离;、、-分别为对应圆心角的混凝土、钢骨、GFRP管的截面积,。 In the formula, - the number of strip elements divided by concrete and GFRP pipes; - the number of strip units divided by the steel frame; , - respectively the stress of the upper and lower flanges of the steel frame; , - are the areas of the upper and lower flanges of the steel frame respectively; , - respectively the distance from the center of the upper and lower flanges of the steel frame to the centroid of the section; , , -respectively the distance from the height center of any strip unit of concrete, steel frame and GFRP pipe to the centroid of the section; , , - are the corresponding central angles respectively The cross-sectional area of concrete, steel frame and GFRP pipe, .
计算步骤: calculation steps:
利用方程(5)、(6),分级加变形,再根据基本假定(3)求取相应曲率,假定形心应变,逐级求取内力,,当内外力差值小于误差,输出计算结果。当承载力下降到极限承载力的80%后,停止计算,具体的计算步骤,见图1。 Using equations (5) and (6), classification plus deformation , and then calculate the corresponding curvature according to the basic assumption (3) , assuming the centroid strain , to obtain the internal force step by step , , when the difference between internal and external forces is less than the error , output the calculation result. When the bearing capacity drops to 80% of the ultimate bearing capacity, the calculation is stopped, and the specific calculation steps are shown in Figure 1.
程序计算结果与试验结果对比: Comparison of program calculation results and test results:
根据本文编制的GFRP管钢骨高强混凝土偏压构件荷载-变形全过程计算程序GPYZL,计算与试验所得荷载-变形曲线的对比,见图2。从图中可以看出,计算结果与试验结果吻合良好。 According to the calculation program GPYZL for the whole load-deformation process of GFRP tube-steel-reinforced high-strength concrete eccentric members compiled in this paper, the comparison of the load-deformation curves obtained by calculation and test is shown in Figure 2. It can be seen from the figure that the calculated results are in good agreement with the experimental results.
图2计算结果与试验结果的对比 Figure 2 Comparison of calculation results and test results
参数分析: Parameter analysis:
利用本文所编制的非线性分析程序计算所得主要参数的影响曲线,见图3。 The influence curves of the main parameters calculated by the nonlinear analysis program compiled in this paper are shown in Figure 3.
图3荷载-挠度关系曲线,计算时,以混凝土强度,长细比为24,GFRP管采用缠角为80度,壁厚为3mm的管,偏心距为20,钢骨型号为I10号工字钢作为基本计算参数,变化某一受力参数来计算分析偏压构件的荷载与挠度全过程曲线。具体分析如下: Figure 3 Load-deflection relationship curve, when calculating, the strength of concrete is used , the slenderness ratio is 24, the GFRP pipe adopts a pipe with a winding angle of 80 degrees, a wall thickness of 3mm, an eccentricity of 20, and a steel frame model of I10 I-beam as the basic calculation parameters, and a certain force parameter is changed to calculate Analyze the load and deflection process curves of biased members. The specific analysis is as follows:
(1)长细比: (1) Slenderness ratio:
由计算所得试件长细比分别为16、24和32的荷载-变形曲线,见图3(a),从图中可以看出,试件极限承载力随长细比的增大而减小,构件曲线的弹性阶段逐渐缩短,刚度逐渐丧失。 The calculated load-deformation curves of specimens with slenderness ratios of 16, 24 and 32 are shown in Figure 3(a). It can be seen from the figure that the ultimate bearing capacity of specimens decreases with the increase of slenderness ratio , the elastic phase of the component curve is gradually shortened, and the stiffness is gradually lost.
(2)偏心距: (2) Eccentricity:
由计算所得试件偏心距分别为20mm、40mm的荷载-变形曲线,见图3(b),从图中可以看出,试件极限承载力随偏心距的增大而减小,这与试验所得结果是相吻合的。 The calculated load-deformation curves of specimens with eccentricities of 20mm and 40mm are shown in Figure 3(b). It can be seen from the figure that the ultimate bearing capacity of the specimen decreases with the increase of eccentricity, which is consistent with the test The obtained results are consistent.
(3)含骨率: (3) Bone content:
由计算所得试件钢骨型号分别为I10、I12和I14的荷载-变形曲线,见图3(c),从图中可以看出,试件极限承载力随钢骨型号的增大而增大,变形逐渐增大,表明构件延性有所改善。 The calculated load-deformation curves of steel frame types I10, I12 and I14 are shown in Figure 3(c). It can be seen from the figure that the ultimate bearing capacity of the test piece increases with the increase of the steel frame type , the deformation gradually increases, indicating that the ductility of the member has improved.
(4)混凝土强度: (4) Concrete strength:
由计算所得试件混凝土强度分别为、和的荷载-变形曲线,见图3(d),从图中可以看出,混凝土强度的变化对初始刚度的影响并不大,但对构件的极限承载力产生了一定的影响,试件极限承载力随混凝土强度的提高而提高。 The concrete strength of the specimen obtained by calculation is , and The load-deformation curve is shown in Figure 3(d). It can be seen from the figure that the change of concrete strength has little effect on the initial stiffness, but it has a certain impact on the ultimate bearing capacity of the component. The ultimate bearing capacity of the specimen The force increases with the increase of concrete strength.
结论: in conclusion:
(1)计算结果表明,GFRP管钢骨高强混凝土偏心受压试件极限承载力随长细比的增大而减小,构件曲线的弹性阶段逐渐缩短,刚度逐渐丧失; (1) Calculation results show that the ultimate bearing capacity of GFRP steel-reinforced high-strength concrete specimen under eccentric compression decreases with the increase of slenderness ratio, the elastic phase of the component curve gradually shortens, and the stiffness gradually loses;
(2)试件极限承载力随偏心距的增大而减小; (2) The ultimate bearing capacity of the specimen decreases with the increase of eccentricity;
(3)计算程序GPYZL计算所得GFRP管钢骨高强混凝土偏压柱荷载-变形全过程曲线与试验曲线吻合良好,从对曲线的影响参数分析表明,承载力随混凝土强度提高及钢骨截面面积的增大而提高。 (3) The load-deformation curve of the GFRP tube-steel-reinforced high-strength concrete eccentric column calculated by the calculation program GPYZL is in good agreement with the test curve. The analysis of the influence parameters on the curve shows that the bearing capacity increases with the increase of concrete strength and the increase of the cross-sectional area of steel reinforcement. increase and improve.
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CN104036149A (en) * | 2014-06-27 | 2014-09-10 | 中南大学 | Reactive powder concrete large-eccentric compression member limit load calculation method |
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CN110132137A (en) * | 2019-05-06 | 2019-08-16 | 哈尔滨工业大学 | A method for measuring the full-length displacement distribution of steel box girders of large suspension bridges based on distributed optical fiber monitoring |
CN110378009A (en) * | 2019-07-15 | 2019-10-25 | 郑州大学 | The analysis method of stainless reinforced column compression bearing |
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Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
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CN104036149A (en) * | 2014-06-27 | 2014-09-10 | 中南大学 | Reactive powder concrete large-eccentric compression member limit load calculation method |
CN104036149B (en) * | 2014-06-27 | 2017-02-01 | 中南大学 | Reactive powder concrete large-eccentric compression member limit load calculation method |
CN109991079A (en) * | 2019-03-26 | 2019-07-09 | 中国能源建设集团广东省电力设计研究院有限公司 | Chimney bearing capacity computation method, device, equipment and storage medium |
CN110132137A (en) * | 2019-05-06 | 2019-08-16 | 哈尔滨工业大学 | A method for measuring the full-length displacement distribution of steel box girders of large suspension bridges based on distributed optical fiber monitoring |
CN110378009A (en) * | 2019-07-15 | 2019-10-25 | 郑州大学 | The analysis method of stainless reinforced column compression bearing |
CN110378009B (en) * | 2019-07-15 | 2022-11-01 | 郑州大学 | Method for analyzing compressive bearing capacity of stainless steel reinforced concrete column |
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