预应力混凝土变截面连续箱梁裂后受力性能研究
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摘要
论文在综述国内外预应力箱梁裂缝病害研究成果的基础上,详细介绍了裂缝对预应力箱梁受力性能的影响。采用分级反复加载的方法对预应力混凝土变截面连续箱梁模型进行破坏性加载,结合非线性有限元分析方法,研究了不同裂缝扩展等级下预应力混凝土变截面连续箱梁刚度折减和剪力滞系数变化规律。
推导了适用于薄壁结构的三维壳体有限元列式,引入总应变裂缝模型模拟混凝土裂缝扩展,推导了预应力钢筋组合有限元分析基本方程,采用增量迭代法进行非线性方程组求解。采用实测数据验证了非线性有限元数值模型中参数的有效性,在此基础上,分别分析了跨中、1/4跨和支座处裂缝对梁体受力特性的影响。总结了单箱双室箱梁各个关键断面在不同荷载等级下的应变分布规律,研究了梁体在裂缝出现后的应力重分布特性,分析了箱梁裂后的顶、底板剪力滞系数变化规律。采用MATLAB语言编制了基于Levenberg-Marquardt算法的优化程序,采用ANSYS APDL语言建立了箱梁有限元模型。融合以上两个分析模块,实现了最优化理论在梁体抗弯刚度损伤评估中的应用。本文在对箱梁刚度损伤评估时同时采用了另外一个方法,直接基于荷载-挠度曲线信息构建了梁体刚度损伤指标。将两种方法得到的结果进行比较分析,证明了直接构建的刚度损伤指标的准确及实用性。
本文主要创新性研究成果概述如下：
1.对预应力混凝土变截面连续箱梁进行了反复荷载作用下的极限承载能力试验研究,该类型试验为国内首次。
2.推导了预应力钢筋组合有限元分析基本方程,并将之运用到非线性有限元计算中去。该方法克服了离散有限元模型单元数量过多的缺点,有效提高了非线性有限元计算的准确性,同时降低了非线性有限元计算分析时间。
3.研究了裂缝对预应力混凝土变截面连续箱梁顶、底板剪力滞效应的影响。
4.采用裂缝密度参数定量描述箱梁腹板裂缝扩展等级,提出了裂缝密度参数和箱梁刚度折减系数的关联模型。对21个有限元模型的计算结果进行统计回归,提出了考虑主梁宽跨比、边中跨比和荷载因子3个参数的箱梁刚度折减系数数学模型。
In the dissertation, it was reviewed the domestic and foreign diseases investigation and research of box girders'cracks. Details of the crack influence to the mechanical behavior of box girder was introduced. Destructive model test of continuous box girder model with P.C. variable section was loaded using repeated loading method. Combined with nonlinear finite element analysis to study the stiffness degeneration and shear lags of box girder at different crack level.
The three dimensional finite element equations for thin shell structures were deduced. The total strain crack model was used to simulate cracks. The combination element equation to analyze prestressed steel was proposed. Incremental iterative method was used to solve nonlinear equations. The parameters of numerical model was verified with observation of test. Based on the above works, The cracks'influence to beams'mechanical property was researched and cracks was at mid-span,1/4 span and supporting position respectively.
Strain distribution of box girder under different load levels was analyzed. Stress redistribution property of box girder was researched after cracking. The shear lag coefficient variation of top and bottom flange of box girder was analyzed. Based on Levenberg-Marquardt optimization algorithm, a programe using MATLAB language was developed. A continuous box girder model with P.C. variable section finite element model was bulided using using ANSYS APDL language. The above analysis module were integraed, the beam bending stiffness of damage assessment method was achieved basedon optimization theory. At the same time, another method was used to assess stiffness damage assessment of box girders. The beam stiffness damage index directly builded based on the load-deflection curve information. The compute results of two methods were compared and analyzed to prove the later method's validity.
The main innovative research results of this paper are summarized as follows:
1) Continuous box girder model with P.C. variable section carrying capacity model test was researched.The same type test was first in China.
2) The basic equation of combined prestressed steel finite element model were deduced. The combined model was applied at non-linear finite element calculation.This method overcomed shortcomings of the excessive number of discrete finite element model, improved the accuracy of nonlinear finite element method effectively and reducd computation time.
3) Shear lags of box girder with P.C. variable section was researched after cracking.
4) The proposed box girder crack density index that was used for quantitative description of web cracking.Correlation model of box girder box girder stiffness damage factor and crack density parameter was proposed. Based on analysis results of 21 finite element model, mathematical model of box girder stiffness damage factor considering the wide span ratio, span ratio and the load factor is presented by statistical regression calculation.
推导了适用于薄壁结构的三维壳体有限元列式,引入总应变裂缝模型模拟混凝土裂缝扩展,推导了预应力钢筋组合有限元分析基本方程,采用增量迭代法进行非线性方程组求解。采用实测数据验证了非线性有限元数值模型中参数的有效性,在此基础上,分别分析了跨中、1/4跨和支座处裂缝对梁体受力特性的影响。总结了单箱双室箱梁各个关键断面在不同荷载等级下的应变分布规律,研究了梁体在裂缝出现后的应力重分布特性,分析了箱梁裂后的顶、底板剪力滞系数变化规律。采用MATLAB语言编制了基于Levenberg-Marquardt算法的优化程序,采用ANSYS APDL语言建立了箱梁有限元模型。融合以上两个分析模块,实现了最优化理论在梁体抗弯刚度损伤评估中的应用。本文在对箱梁刚度损伤评估时同时采用了另外一个方法,直接基于荷载-挠度曲线信息构建了梁体刚度损伤指标。将两种方法得到的结果进行比较分析,证明了直接构建的刚度损伤指标的准确及实用性。
本文主要创新性研究成果概述如下：
1.对预应力混凝土变截面连续箱梁进行了反复荷载作用下的极限承载能力试验研究,该类型试验为国内首次。
2.推导了预应力钢筋组合有限元分析基本方程,并将之运用到非线性有限元计算中去。该方法克服了离散有限元模型单元数量过多的缺点,有效提高了非线性有限元计算的准确性,同时降低了非线性有限元计算分析时间。
3.研究了裂缝对预应力混凝土变截面连续箱梁顶、底板剪力滞效应的影响。
4.采用裂缝密度参数定量描述箱梁腹板裂缝扩展等级,提出了裂缝密度参数和箱梁刚度折减系数的关联模型。对21个有限元模型的计算结果进行统计回归,提出了考虑主梁宽跨比、边中跨比和荷载因子3个参数的箱梁刚度折减系数数学模型。
In the dissertation, it was reviewed the domestic and foreign diseases investigation and research of box girders'cracks. Details of the crack influence to the mechanical behavior of box girder was introduced. Destructive model test of continuous box girder model with P.C. variable section was loaded using repeated loading method. Combined with nonlinear finite element analysis to study the stiffness degeneration and shear lags of box girder at different crack level.
The three dimensional finite element equations for thin shell structures were deduced. The total strain crack model was used to simulate cracks. The combination element equation to analyze prestressed steel was proposed. Incremental iterative method was used to solve nonlinear equations. The parameters of numerical model was verified with observation of test. Based on the above works, The cracks'influence to beams'mechanical property was researched and cracks was at mid-span,1/4 span and supporting position respectively.
Strain distribution of box girder under different load levels was analyzed. Stress redistribution property of box girder was researched after cracking. The shear lag coefficient variation of top and bottom flange of box girder was analyzed. Based on Levenberg-Marquardt optimization algorithm, a programe using MATLAB language was developed. A continuous box girder model with P.C. variable section finite element model was bulided using using ANSYS APDL language. The above analysis module were integraed, the beam bending stiffness of damage assessment method was achieved basedon optimization theory. At the same time, another method was used to assess stiffness damage assessment of box girders. The beam stiffness damage index directly builded based on the load-deflection curve information. The compute results of two methods were compared and analyzed to prove the later method's validity.
The main innovative research results of this paper are summarized as follows:
1) Continuous box girder model with P.C. variable section carrying capacity model test was researched.The same type test was first in China.
2) The basic equation of combined prestressed steel finite element model were deduced. The combined model was applied at non-linear finite element calculation.This method overcomed shortcomings of the excessive number of discrete finite element model, improved the accuracy of nonlinear finite element method effectively and reducd computation time.
3) Shear lags of box girder with P.C. variable section was researched after cracking.
4) The proposed box girder crack density index that was used for quantitative description of web cracking.Correlation model of box girder box girder stiffness damage factor and crack density parameter was proposed. Based on analysis results of 21 finite element model, mathematical model of box girder stiffness damage factor considering the wide span ratio, span ratio and the load factor is presented by statistical regression calculation.
引文
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