登录
注册
E-alert
登录
注册
E-alert
ORTHOTROPIC CHARACTERS OF A CAST-IN-SITU CONCRETE HOLLOW PLATE AND THE CALCULATION METHOD OF AN EQUIVALENT ISOTROPIC PLATE
-
摘要: 通过分析得到了现浇混凝土空心板正交各向异性主刚度存在着D3=D1D21/2的关系;从正交各向异性板挠曲面的偏微分方程出发,保持一个主方向尺寸不变x1=x,将另一主方向的尺寸做线性缩放y1=k-1/4y,并保持弹性模量与第一主方向相同E=E1,泊松比=121/2,将原来的正交各向异性板等效为一块各向同性板,通过分析得到:各向同性板任意点的挠度就是原正交各向异性板对应点的挠度,各对应点内力存在简单的对应关系:Mx=Mx1、My=k1/2My1、Mxy=k1/4Mx1y1。最后,通过算例验证了该方法的正确性。Abstract: The orthotropic character of D3=D1D21/2 of a cast-in-situ concrete hollow slab is deduced.Based on the differential equation of the deformed surface of the orthotropic plate, one principal direction size is kept invariably, then another principal direction size is transformed linearly, maintains elasticity coefficient is kept the same as that of the first principal direction E=E1, Poisson ratio =121/2, thus the original orthogonal plate can be equivalent to an isotropic plate. Results are obtained through analysis: the deflection of the equivalent isotropic plate is the same as that of the original orthotropic plate at the corresponding point, whose internal forces have the simple relations Mx=Mx1、My=k1/2My1、Mxy=k1/4Mx1y1.
-
Key words:
- hollow slab /
- orthotropic plate /
- isotropic plate /
- equivalent
-
.谢靖中. 现浇空心板宏观基本本构关系[J]. 土木工程学报, 2006, 39(7): 57-62. [2] .高巍, 蓝宗建.等效刚度板法对双向空心板受力性能的分析[J].工业建筑, 2005, 35(增刊): 108-113 . [3] .尚仁杰, 吴转琴, 李佩勋, 等. 现浇混凝土预应力空心板的正交各向异性研究[J]. 特种结构, 2007, 24(2): 12-14. [4] .徐芝纶.弹性力学(下)[M]. 北京: 高等教育出版社, 1990: 168-180. [5] .刘平. 解正交各向异性板的虚肋法[J]. 工程力学, 1990, 7(3): 102-105. [6] .吕艳平, 吴培良. 加权参数配点法解正交各向异性板的积分方程[J]. 力学季刊, 2001, 22(1): 84-89. [7] .刘念超. 状态空间法解正交各向异性板[J]. 长沙交通学院学报, 1999, 15(3): 29-33. [8] .《建筑结构静力计算手册》编写组.建筑结构静力计算手册[M].北京: 中国建筑工业出版社, 1998: 216-259. [9] .Szilard R. 板壳理论和分析[M]. 陈太平, 译. 北京:中国铁道出版社, 1984: 286 -287. -
点击查看大图
计量
- 文章访问数: 72
- HTML全文浏览量: 2
- PDF下载量: 109
- 被引次数: 0
下载:
