【作者】 程远兵；

【导师】 程文瀼；

【作者基本信息】 东南大学 ， 防灾减灾工程及防护工程， 2006， 博士

【摘要】 现浇混凝土蜂窝式空心板是在板内有规律地填入若干小尺寸的箱体内模而形成蜂窝式孔洞的一种新型现浇空心板。目前,对它的研究还很少。本文对边支承大跨度现浇混凝土蜂窝式空心双向板的计算方法、有限元分析、竖向均布荷载作用下的试验、边梁扭矩计算等进行了研究,并介绍了三个工程实例,提出了设计及施工建议,主要内容如下:1、现浇混凝土蜂窝式空心板是一种带有密集小肋加强的板。这种板的底部有双向的肋,肋很密,肋高不大。通过对这种楼板的理论分析和试验,本文认为:当满足条件l₁/（s₁-b₁）≥9,l₂/（s₂-b₂）≥9,≥1/4时,在竖向均布荷载作用下,可以忽略肋间板的剪力滞后,认为肋与肋间板的变形是一致的,从而可按照普通实心板的理论来分析。这里l₁、l₂分别为板短、长跨方向的计算跨度, s₁、s₂分别为l₁、l₂方向的肋间距离,b₁、b₂分别为l₁、l₂方向肋的宽度,t为肋间板厚度,h为包括肋在内的空心板总厚度。同时本文也指出了蜂窝式空心板是以平板弯曲为主的带肋的板,而密肋楼板或井式楼板则是以交叉梁弯曲为主的带板的梁系。因此如果把蜂窝式空心板看作密肋楼板或井式楼板来计算的话,将得出非常错误的结果。2、以弹性薄板小挠度理论为基础,推导出了蜂窝式空心板的微分方程。根据蜂窝式空心板的构造特点,提出了其截面弯曲刚度和扭曲刚度的计算公式。对于四边简支的蜂窝式空心板,给出了板挠度和弯矩的解析解;对于四边固定的蜂窝式空心板,给出了板挠度和弯矩的数值解。同时为了方便应用,编制了相应的计算程序,给出了竖向均布荷载下四边简支和四边固定的蜂窝式空心板的挠度和弯矩系数。3、采用实体建模的方法,用有限元分析程序ANSYS进行了若干组算例的有限元分析。分析结果表明,采用本文提出的上述计算方法,能较准确地计算边支承蜂窝式空心板的挠度和弯矩。4、进行了一块4m×4m的蜂窝式空心板试验。试验表明,在竖向均布荷载作用下,蜂窝式空心板的变形、裂缝、破坏形态等受力性能都与普通实心板相似。试验也表明,蜂窝式空心板具有自重轻、变形小、刚度大等优点。在试件达到承载力极限状态时,板具有良好的延性性能。用有限元分析程序对试件进行了变形分析,分析结果与板在未裂阶段的变形符合较好,这说明现浇混凝土蜂窝式空心板在未裂阶段的变形可以近似采用弹性理论的方法计算。同时根据极限平衡理论,对试件的极限承载力进行了计算,理论计算值与试验测到的破坏荷载很接近,这说明现浇混凝土蜂窝式空心板的极限承载力可以根据塑性铰线理论计算。5、针对肋梁楼盖中的边梁,通过分析认为,应考虑边梁的扭转变形及边梁支座的转动对边梁扭矩的影响,提出了边梁扭矩的计算公式。并用有限元分析进行了验证。分析和计算还表明,边梁自身的扭转变形是降低边梁扭矩的主要因素,边梁支座的转动也能降低一部分的边梁扭矩。6、给出了三个已建工程的设计实例,给出了大跨度现浇混凝土蜂窝式空心板的设计计算方法、构造要求及施工建议。同时还就周边加厚板的受力和变形性能进行了有限元算例分析。分析表明,板周边加厚不仅能满足板对负弯矩的承载力要求,还能减小板跨中的挠度,并便于钢筋布置。更多还原

【Abstract】 The cellular voided cast-in-situ concrete plate is a new kind of hollow plates in which many smaller boxes are embedded orderly as inter forms. Up to now,the research of the cellular voided floor plates are rather limited. This paper studies of the long-span cast-in-situ concrete cellular voided two-way plate supported by edge members including its elastic calculation method,finite element analysis,cellular voided plate test subjected to vertical uniformly distributed load,calculation method of torque of edge beams,three application examples of engineering projects and the suggestions of design and construction details,the main contents are as follows.1.The cellular voided cast-in-situ concrete plates are a kind of plates strengthened by dense two-way ribs. By means of the theoretical analysis and test results,this paper points out when l₁/（s₁-b₁）≥9,l₂/（s₂-b₂）≥9,and t/h≥1/4,the influence caused by shear lag can be ignored,the deformations of ribs and slabs between ribs can be considered as the same,then the plates can be analyzed by elastic plate theory,and the plates are called cellular voided plates. Here,l₁ and l₂ are the calculation span lengths of the plate in the short and long directions respectively,b₁ and b₂ are the widths of ribs in the two directions, and are the center to center distances of ribs in the two directions, is the thickness of slab between ribs, is the total thickness of the cellular voided plate including the ribs. Meanwhile this paper points out that cellular voided plates are the plates with ribs and the ribbed or waffle plates are the cross girder system with slabs as its wingspan. This paper also points out that if the cellular voided plates are analyzed as ribbed or waffle plates,thoroughly wrong results will be gained.2.Based on the tiny deflection theory of the elastic thin plates,the differential equations of the cellular voided plates are given. According to the peculiarity of the cellular voided plates,calculation formulae of the flexural and torsional stiffness are presented. The analytical solution of deflection and bending moment for cellular voided plates simply supported by four edges are given. The numerical solution of deflection and flexural moment for cellular voided plates fixed supported by four edges are also given. For engineering application,computer programs are compiled,coefficients of the deflection and bending moment are given for the plates with simply or fixed supported edges.3.By means of the solid element method,elastic finite element analysis and comparisons on a number of ensamples using ANSYS are carried out. The results show that the method presented in this paper can exactly calculate the deflection and bending moment of the cellular voided plates supported by four edges.4.A 4m×4m cellular voided concrete plate specimen is tested. The test results show that the deformations,cracks,collapse mechanism and etc of the cellular voided plate subjected to vertical uniformly distributed load are quite similar to those of the solid plates. The test results also show that the cellular voided plates hold many更多还原