基于弹性模量缩减法研究拱形结构稳定承载力
发布时间：2019-06-27 11:21
【摘要】：拱形结构既满足人们生活的实用性要求,又具有较高的观赏价值,在土木工程领域得到广泛的运用,其稳定承载力的研究是当今的热点课题。对于工程结构的极限承载力分析而言,弹性模量缩减法(EMRM)具有良好的计算效率、计算精度以及稳定性。为此,本文基于EMRM开展了拱形结构稳定承载力研究,主要工作和成果有:(1)开展了圆形截面钢管混凝土(CFST)构件承载力研究。通过收集并建立了包含531个轴压构件、94个纯弯构件和384个压弯构件的试验数据库,并据此对比了四本国外规程、两本国内规程和一本CFST专著中承载力相关方程的精度和适用性,综合确定以钟善桐(2006)专著的承载力相关方程计算圆形CFST构件承载力。(2)建立了具有广泛适用性的工字型截面钢构件和圆CFST构件稳定齐次广义屈服函数(HGYF)。首先利用工字型截面钢构件和圆CFST构件承载力相关方程,建立相应的截面广义屈服函数(GYF)。然后考虑稳定因素影响,建立适用于含待定参数的GYF齐次化策略,进而建立了广泛适用性的工字型截面钢构件和圆CFST构件稳定HGYF,有效地克服了 GYF出现稳定性差和计算精度欠佳等问题,同时避免了传统齐次化策略需对含待定参数GYF进行重复开展回归分析。(3)建立了工字型截面钢拱稳定承载力分析的EMRM。利用线弹性梁单元建立工字型截面钢拱有限元计算模型,并结合EMRM计算拱形钢结构的稳定承载力,最后与试验值及数值方法的计算值对比分析,验证本文方法具有较高的计算精度和效率,确定了适用于工字型截面钢拱稳定承载力分析的HGYF。(4)研究建立了圆形截面CFST拱桥稳定承载力分析的EMRM。首先基于CFST统一理论,利用单一组合材料线弹性梁单元建立CFST拱桥有限元分析模型,并结合EMRM分析确定CFST拱桥稳定承载力,对比了稳定承载力和强度承载力的区别,讨论了不同稳定系数和稳定HGYF对计算结果的影响,进而通过与试验结果及增量非线性有限元法(INFEM)结果对比分析,验证了本文方法具有较高的计算精度和效率,克服了 INFEM的缺陷。最后综合分析了矢跨比、长细比、含钢率、混凝土强度以及荷载作用方式等参数对圆形截面CFST拱稳定承载力的影响规律,为结构设计与分析提供借鉴。
[Abstract]:Arch structure not only meets the practical requirements of people's life, but also has high ornamental value. It has been widely used in the field of civil engineering. The research of its stable bearing capacity is a hot topic nowadays. For the ultimate bearing capacity analysis of engineering structures, the elastic modulus reduction method (EMRM) has good calculation efficiency, calculation accuracy and stability. Therefore, based on EMRM, the stability bearing capacity of arch structure is studied in this paper. the main work and achievements are as follows: (1) the bearing capacity of concrete-filled steel tubular (CFST) members with circular section is studied. The experimental database of 531 axial compression members, 94 pure bending members and 384 compression and bending members is collected and established, and the accuracy and applicability of bearing capacity related equations in four foreign codes, two domestic regulations and one CFST monograph are compared. The bearing capacity of circular CFST members is calculated by using the bearing capacity correlation equation of Zhong Shantong (2006). (2) the homogeneous generalized yield function (HGYF). Of I-section steel members and circular CFST members with wide applicability is established. Firstly, by using the bearing capacity correlation equations of I-section steel members and circular CFST members, the corresponding generalized yield function (GYF). Is established. Then, considering the influence of stability factors, the GYF homogenization strategy suitable for the undetermined parameters is established, and then the stable HGYF, of I-section steel members and circular CFST members with wide applicability is established to effectively overcome the problems of poor stability and poor calculation accuracy of GYF. At the same time, the traditional homogeneous strategy needs to carry out repeated regression analysis of GYF with undetermined parameters. (3) the EMRM. for stable bearing capacity analysis of I-section steel arch is established. The finite element calculation model of I-section steel arch is established by using linear elastic beam element, and the stable bearing capacity of arch steel structure is calculated by EMRM. Finally, compared with the experimental value and numerical method, it is verified that this method has higher calculation accuracy and efficiency. HGYF. (4), which is suitable for the analysis of stable bearing capacity of I-section steel arch bridge, is established to analyze the stable bearing capacity of circular section CFST arch bridge. Firstly, based on CFST unified theory, the finite element analysis model of CFST arch bridge is established by using single composite material linear elastic beam element, and the stable bearing capacity of CFST arch bridge is determined by EMRM analysis. The differences between stable bearing capacity and strength bearing capacity are compared, and the effects of different stability coefficients and stable HGYF on the calculation results are discussed, and then compared with the experimental results and incremental nonlinear finite element (INFEM) results. It is verified that the proposed method has high calculation accuracy and efficiency, and overcome the defects of INFEM. Finally, the effects of rise-span ratio, slenderness ratio, steel content, concrete strength and load mode on the stable bearing capacity of circular section CFST arch are comprehensively analyzed, which provides a reference for structural design and analysis.
【学位授予单位】：广西大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TU312
本文编号：2506744
[Abstract]:Arch structure not only meets the practical requirements of people's life, but also has high ornamental value. It has been widely used in the field of civil engineering. The research of its stable bearing capacity is a hot topic nowadays. For the ultimate bearing capacity analysis of engineering structures, the elastic modulus reduction method (EMRM) has good calculation efficiency, calculation accuracy and stability. Therefore, based on EMRM, the stability bearing capacity of arch structure is studied in this paper. the main work and achievements are as follows: (1) the bearing capacity of concrete-filled steel tubular (CFST) members with circular section is studied. The experimental database of 531 axial compression members, 94 pure bending members and 384 compression and bending members is collected and established, and the accuracy and applicability of bearing capacity related equations in four foreign codes, two domestic regulations and one CFST monograph are compared. The bearing capacity of circular CFST members is calculated by using the bearing capacity correlation equation of Zhong Shantong (2006). (2) the homogeneous generalized yield function (HGYF). Of I-section steel members and circular CFST members with wide applicability is established. Firstly, by using the bearing capacity correlation equations of I-section steel members and circular CFST members, the corresponding generalized yield function (GYF). Is established. Then, considering the influence of stability factors, the GYF homogenization strategy suitable for the undetermined parameters is established, and then the stable HGYF, of I-section steel members and circular CFST members with wide applicability is established to effectively overcome the problems of poor stability and poor calculation accuracy of GYF. At the same time, the traditional homogeneous strategy needs to carry out repeated regression analysis of GYF with undetermined parameters. (3) the EMRM. for stable bearing capacity analysis of I-section steel arch is established. The finite element calculation model of I-section steel arch is established by using linear elastic beam element, and the stable bearing capacity of arch steel structure is calculated by EMRM. Finally, compared with the experimental value and numerical method, it is verified that this method has higher calculation accuracy and efficiency. HGYF. (4), which is suitable for the analysis of stable bearing capacity of I-section steel arch bridge, is established to analyze the stable bearing capacity of circular section CFST arch bridge. Firstly, based on CFST unified theory, the finite element analysis model of CFST arch bridge is established by using single composite material linear elastic beam element, and the stable bearing capacity of CFST arch bridge is determined by EMRM analysis. The differences between stable bearing capacity and strength bearing capacity are compared, and the effects of different stability coefficients and stable HGYF on the calculation results are discussed, and then compared with the experimental results and incremental nonlinear finite element (INFEM) results. It is verified that the proposed method has high calculation accuracy and efficiency, and overcome the defects of INFEM. Finally, the effects of rise-span ratio, slenderness ratio, steel content, concrete strength and load mode on the stable bearing capacity of circular section CFST arch are comprehensively analyzed, which provides a reference for structural design and analysis.
【学位授予单位】：广西大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TU312
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