考虑剪切变形的箱型空心楼盖拟板法研究  

STUDY ON ANALOGUE SLAB METHOD CONSIDERING SHEAR DEFORMATION FOR BOX-FILLER HOLLOW FLOOR

作　　者：黄川腾[1] 王志军[1,2] 邓然[1] 朱兰影[1,2] 

机构地区：[1]重庆大学土木工程学院,重庆400045 [2]山地城镇建设与新技术教育部重点实验室(重庆大学),重庆400045

出　　处：《工程力学》2015年第12期198-207,共10页Engineering Mechanics

基　　金：中央高校基本科研业务费项目(CDJXS10200005)

摘　　要：根据Timoshenko梁剪切理论和模型试验数值模拟,分析了剪切变形对空心楼盖箱型构件挠度的影响;依据弹性薄板理论,对比了不同边界条件下多种拟板方法的思路和计算精度;提出了等效实心平板剪切模量的取用方法和实用的考虑剪切变形挠度的修正手段。分析结果表明:剪切变形对空心楼盖的影响远大于实心楼盖;规程拟板法优于其他拟板方法,但其挠度计算值与空心楼盖实际值存在误差;现有基于抗弯刚度相等的拟板方法不能正确反映空心楼盖的剪切变形大小。该文基于"剪切刚度相等"提出的剪切模量取用方法和挠度修正方法能同时适用于构造各向同性和构造各项异性空心楼盖,计算效果均优于其它拟板法。该文成果可供分析和设计时参考。Based on Timoshenko beam theory, as well as FEM and laboratory testing, the effect of shear deformation on box girder element is analyzed. According to the theory of elastic thin plate, equivalence principle and computational accuracy of three different analogical methods are analyzed under several boundary conditions. The shear modulus and practical deflection modification method of the equivalent solid floor are proposed. The results show that the shear deformation effect of the hollow floor is much larger than the solid floor. The analogue method proposed by the Code is better than other analogical methods in the aspects of section force and moment. However, all the existing analogue methods based on the equivalent flexural rigidity cannot calculate the shear deformation exactly. The proposed shear modulus and practical deflection modification method based on ＂equivalent shear rigidity＂ are suitable for both structurally isotropic hollow floor and structurally orthotropic hollow floor, and can predict the deflection more precisely. The conclusions can be used as reference for structural analysis and design.

关 键 词：结构工程 空心楼盖 拟板法 剪切变形 有限元法 解析解 

分 类 号：TU375.2[建筑科学—结构工程]