预制带肋底板混凝土双向叠合板等效各向同性板的弹性计算方法  

Elastic calculation method for equivalent isotropic plate of concrete two-way composite slab with precast ribbed panel

作　　者：黄海林[1,2] 李金华[1] 曾垂军[1] 祝明桥[1] 陈伟 

机构地区：[1]湖南科技大学土木工程学院,湘潭411201 [2]湖南科技大学结构抗风与振动控制湖南省重点实验室,湘潭411201 [3]长沙理工大学土木与建筑学院,长沙410082

出　　处：《应用力学学报》2018年第3期624-630,共7页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(51408063;51578236);湖南省自然科学基金(2018JJ3161);湖南省研究生科研创新项目(CX2017B640)

摘　　要：结合预制带肋底板混凝土双向叠合板(简称双向叠合板)的正交构造异性特征,分析了当前实际工程设计中存在的问题。直接从双向叠合板的挠曲面基本微分方程出发,依据正交各向异性板理论,推导了双向叠合板与各向同性板挠度和内力的等效关系。由此等效关系,引入等效跨度比,修正双向叠合板的预制底板板肋平行、垂直方向边长,将其等效为相应的各向同性板来计算。最后,列举一边固支三边简支边界条件的双向叠合板算例,利用已有的各向同性板弹性计算系数表,直接按照等效跨度比进行插值计算,将所得结果同按照挠度和弯矩计算式计算结果进行比较。结果表明:计算结果吻合良好,各项弹性计算系数均满足双向叠合板与各向同性板挠度和内力的等效关系,说明本文提出的弹性计算方法是正确的。Based on the orthotropic characteristics of concrete two-way composite slab with precast ribbed panels(two-way composite slab), the existing problems in the practical engineering design are analyzed in this paper. On the basis of the theory of orthotropic plate, starting from the basic differential equation of the composite two-way slab, the equivalent relationship of deflection and internal force between two-way composite slab and equivalent isotropic plate are deduced. Through modifying lengths of the strong and weak directions of the two-way composite slab and introducing the equivalent span ratio, two-way composite slab is calculated as equivalent isotropic place by the equivalent relationship. Finally, an example of two-way composite slab with boundary conditions of one edge clamped and three edges simply supported is given, using the existing elastic plate elastic coefficient table, the interpolation calculation is carried out according to the equivalent span ratio directly, and the results of the two-way composite slab deflection and bending moment and are compared. The results show that the results of the two methods are in good agreement, the elastic coefficients satisfy the equivalent relation of deflection and internal force between two-way composite slab and equivalent isotropic plate, and the elastic calculation method is accurate.

关 键 词：双向叠合板 正交构造异性特征 各向同性板 等效 弹性计算方法 

分 类 号：TU313.1[建筑科学—结构工程]