组合梁考虑滑移效应的理论分析与等效刚度法

发布时间：2018-03-06 00:24

本文选题：组合梁　切入点：滑移效应　出处：《湖南大学》2015年硕士论文　论文类型：学位论文

【摘要】：钢-混凝土组合梁具有刚度大、承载能力高等优点,在建筑结构、桥梁结构等领域得到了广泛应用。然而,广泛应用于实际工程中的栓钉等柔性剪力连接件由于受到钢与混凝土交界面上水平剪力的作用而产生变形,引起交界面产生滑移,从而使组合梁刚度降低,截面曲率增大,组合梁挠度也相应增大。本文针对组合梁受层间滑移效应的影响,进行了静力线弹性分析,提出了组合梁挠度计算的二阶算法,分别建立了关于组合梁考虑滑移效应的层间相对滑移和挠度的二阶常微分方程,给出了相应的边界条件,求得了简支梁,悬臂梁,两端固定梁和一端简支一端固定梁四种不同边界条件组合梁在不同荷载作用下的层间相对滑移和挠度的理论精确解,并给出了组合梁受层间滑移效应影响的内力计算。通过与组合梁挠度计算高阶算法的对比,二阶算法简化了组合梁考虑滑移效应的挠度计算,给出了相对全面的计算结果。由于荷载形式和边界条件的不同,组合梁挠度计算理论精确解的形式过于复杂,因此本文在组合梁挠度计算理论精确解的基础上,引入组合梁考虑滑移效应挠度计算的等效计算长度系数,给出了统一的组合梁考虑滑移效应挠度计算的等效抗弯刚度,提出了组合梁挠度计算的等效刚度法。通过对等效刚度法进行误差控制,求得了四种不同边界条件组合梁在均布荷载作用下考虑滑移效应的等效计算长度系数,使得组合梁考虑滑移效应的等效挠度最大值与组合梁考虑滑移效应的理论精确解挠度最大值之间的误差最小。均布荷载作用下求得的等效计算长度系数对组合梁在集中荷载作用下的挠度计算同样有很高的精确度。通过对现有组合梁考虑滑移效应挠度计算主要计算方法的对比可知,本文提出的等效刚度法相对其他挠度计算方法具有更高的精确度,能够满足实际工程的需求。
[Abstract]:Steel-concrete composite beams have been widely used in the field of building structures and bridge structures because of their advantages of high stiffness and high bearing capacity. Flexible shear connectors, such as studs, which are widely used in practical engineering, are deformed by horizontal shear force at the interface between steel and concrete, resulting in slip at the interface, thus reducing the stiffness of composite beams and increasing the sectional curvature. The deflection of composite beam also increases correspondingly. In this paper, the static linear elastic analysis of composite beam is carried out, and the second-order algorithm for calculating deflection of composite beam is put forward in view of the effect of interlayer slip on composite beam. The second order ordinary differential equations of relative slip and deflection of composite beam considering slip effect are established respectively. The corresponding boundary conditions are given, and the simple supported beam and cantilever beam are obtained. The theoretical exact solutions of the relative slip and deflection between layers of four kinds of composite beams with different boundary conditions under different loads are derived from the fixed beams at both ends and the fixed beams at one end simply supported by one end. The calculation of internal force of composite beam affected by interlayer slip effect is given. Compared with the higher-order calculation method of composite beam deflection calculation, the second-order algorithm simplifies the deflection calculation of composite beam considering slip effect. Due to the difference of load form and boundary condition, the form of exact solution for deflection calculation of composite beam is too complicated, so this paper is based on the theoretical exact solution of deflection calculation of composite beam. The equivalent calculated length coefficient of composite beam considering the deflection of slip effect is introduced, and the equivalent flexural stiffness of the unified composite beam considering the deflection of slip effect is given. The equivalent stiffness method for the deflection calculation of composite beams is proposed. By error control of the equivalent stiffness method, the equivalent calculated length coefficients of four different boundary condition composite beams considering the slip effect under uniform load are obtained. The error between the maximum equivalent deflection of composite beam considering slip effect and the maximum deflection of composite beam considering slip effect is minimized. The deflection calculation under concentrated load also has a high accuracy. The equivalent stiffness method proposed in this paper has higher accuracy than other deflection calculation methods and can meet the needs of practical engineering.
【学位授予单位】：湖南大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU398.9

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