竖向荷载作用下框支密肋复合板结构托梁受力性能及计算方法研究
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摘要
摘要：密肋复合板结构作为一种新型的建筑结构体系,具有十分广阔的应用前景。本文以框支密肋复合板结构的托梁为研究对象,在课题组前期研究的基础上,通过理论分析和有限元数值模拟,研究竖向荷载作用下密肋复合板结构中墙板参数对于托梁受力的影响,同时,提出了基于双参数弹性地基梁的托梁内力解和托梁的实用计算公式,为进一步建立框支密肋复合墙梁的设计计算方法提供理论依据,为工程实践提供参考。主要内容包括：
(1)应用弹性地基梁理论,将上部密肋复合墙体简化为考虑剪切作用影响的Pasternak双参数弹性地基,托梁视为倒置于弹性地基上的有限长梁,同时考虑上部墙体不同材料性能差异的影响,建立了托梁挠曲变形控制微分方程,采用传递矩阵法求解竖向荷载作用下墙梁组合界面的应力分布及托梁内力,并与通用有限元软件计算结果进行了对比分析。
(2)利用有限元方法分析竖向荷载作用下填充砌块与混凝土弹性模量之比、密肋复合墙板的划分形式、边框柱的宽度和形式、托梁的高跨比、墙体高跨比、墙体洞口位置以及底部框架柱的截面的高度与其长度的比值对于托梁受力的影响。
(3)对肋梁高度、肋柱数量、肋柱宽度与托梁的高跨比、墙体的高跨比分别进行正交试验设计,并对上述因素进行显著性分析,同时考虑洞口位置和填充砌块弹性模量对托梁内力的影响,回归得到托梁的内力系数计算公式；给出竖向荷载作用下框支密肋复合板结构设计计算简图和框支密肋复合板结构托梁内力设计计算公式；最后给出了竖向荷载作用下框支密肋复合结构的构造建议。
ABSTRACT:Multi-ribbed composite structure is a new structural system, which can be utilized in many fieds. The thesis is devoted to studying on the trimmer beam of the frame-supported multi-ribbed composite structure. On the basis of the previous researches, theoretical analysis and numerical simulation with FEM are used to study the load-bearing performance. The influencing factors of the parameters of wall to the trimmer beam under vertical load are studied, and the trimmer beam theoretical formula and practical internal force calculation formula are put forward. It provides references for the design and engineering practice of the frame-supported multi-ribbed composite structure. The main contents of studies include:
(1) Applying elastic foundation beam theory, the deformation governing differential equation of the trimmer beam is established according to the model in which the upper multi-ribbed composite wall is simplified as Pasternak two-parameter elastic foundation with the consideration of shear effect and the material property differences, and the trimmer beam is considered as finite beam inverted on elastic foundation. And then the vertical stress of the interface and the internal force of the trimmer beam are obtained by applying transfer matrix method, with a comparison to FEM analysis.
(2) FEM was employed to study frame-supported multi-ribbed wall beam under vertical load. The behavior of trimmer beam under vertical loads is studied on various parameters including elastic module of in-fill block, arrangment of RC rib in wall, robustness of side column, height—to-span ratio of the trimmer beam, the height-to-span ratio of the wall, the position of hole in the wall and the section height-to-length ratio of the bottom frame column.
(3) Considering the factors of the height of ribbed beams, the amount of ribbed columns, the width of ribbed columns, height-to-span ratio of the trimmer beam and height-to-span ratio of the wall, the orthogonal design is done and the internal force of the trimmer beam is calculated. The significance analysis of the factors influencing the internal force of the trimmer beam of frame-supported multi-ribbed composite structure is done. Then, considering the position of the hole in the wall, the internal force coefficient of the trimmer beam is obtained through regression analysis. At the same time, the calculation diagram of frame-supported multi-ribbed wall beam is put forward, and the practical design calculation formula of the trimmer beam of frame-supported multi-ribbed composite structure is also given. The detail design suggestions are proposed to provide optimization for the trimmer beam under vertical load.
(1)应用弹性地基梁理论,将上部密肋复合墙体简化为考虑剪切作用影响的Pasternak双参数弹性地基,托梁视为倒置于弹性地基上的有限长梁,同时考虑上部墙体不同材料性能差异的影响,建立了托梁挠曲变形控制微分方程,采用传递矩阵法求解竖向荷载作用下墙梁组合界面的应力分布及托梁内力,并与通用有限元软件计算结果进行了对比分析。
(2)利用有限元方法分析竖向荷载作用下填充砌块与混凝土弹性模量之比、密肋复合墙板的划分形式、边框柱的宽度和形式、托梁的高跨比、墙体高跨比、墙体洞口位置以及底部框架柱的截面的高度与其长度的比值对于托梁受力的影响。
(3)对肋梁高度、肋柱数量、肋柱宽度与托梁的高跨比、墙体的高跨比分别进行正交试验设计,并对上述因素进行显著性分析,同时考虑洞口位置和填充砌块弹性模量对托梁内力的影响,回归得到托梁的内力系数计算公式；给出竖向荷载作用下框支密肋复合板结构设计计算简图和框支密肋复合板结构托梁内力设计计算公式；最后给出了竖向荷载作用下框支密肋复合结构的构造建议。
ABSTRACT:Multi-ribbed composite structure is a new structural system, which can be utilized in many fieds. The thesis is devoted to studying on the trimmer beam of the frame-supported multi-ribbed composite structure. On the basis of the previous researches, theoretical analysis and numerical simulation with FEM are used to study the load-bearing performance. The influencing factors of the parameters of wall to the trimmer beam under vertical load are studied, and the trimmer beam theoretical formula and practical internal force calculation formula are put forward. It provides references for the design and engineering practice of the frame-supported multi-ribbed composite structure. The main contents of studies include:
(1) Applying elastic foundation beam theory, the deformation governing differential equation of the trimmer beam is established according to the model in which the upper multi-ribbed composite wall is simplified as Pasternak two-parameter elastic foundation with the consideration of shear effect and the material property differences, and the trimmer beam is considered as finite beam inverted on elastic foundation. And then the vertical stress of the interface and the internal force of the trimmer beam are obtained by applying transfer matrix method, with a comparison to FEM analysis.
(2) FEM was employed to study frame-supported multi-ribbed wall beam under vertical load. The behavior of trimmer beam under vertical loads is studied on various parameters including elastic module of in-fill block, arrangment of RC rib in wall, robustness of side column, height—to-span ratio of the trimmer beam, the height-to-span ratio of the wall, the position of hole in the wall and the section height-to-length ratio of the bottom frame column.
(3) Considering the factors of the height of ribbed beams, the amount of ribbed columns, the width of ribbed columns, height-to-span ratio of the trimmer beam and height-to-span ratio of the wall, the orthogonal design is done and the internal force of the trimmer beam is calculated. The significance analysis of the factors influencing the internal force of the trimmer beam of frame-supported multi-ribbed composite structure is done. Then, considering the position of the hole in the wall, the internal force coefficient of the trimmer beam is obtained through regression analysis. At the same time, the calculation diagram of frame-supported multi-ribbed wall beam is put forward, and the practical design calculation formula of the trimmer beam of frame-supported multi-ribbed composite structure is also given. The detail design suggestions are proposed to provide optimization for the trimmer beam under vertical load.
引文
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