利用板的后屈曲理论对横向荷载作用下简支矩形板进行近似大挠度分析  

Approximate Large-Deflection Analysis of Simply Supported Rectangular Plates under Transverse Loading Using Plate Post-Buckling Solutions

作　　者：M.C.M. Bakker M. Rosmanit H. Hofmeyer 

出　　处：《钢结构》2008年第9期83-83,共1页Steel Construction

摘　　要：介绍了一种近似分析方法,用于确定横向荷载作用下矩形简支薄板的大挠度性能。此法基于一个简单的测试函数,可描述板的初始形状、总变形和平面内均布压力下板最初的屈曲形状。因此,横向荷载下板的大挠度性能可以表示为板前屈曲和后屈曲的平面内刚度的比例函数,其中考虑了板的边界条件。由于目标函数的简单化,板的弯曲和膜作用是非耦合的。研究发现,该近似方法可以对大挠度性能进行比较好的分析。将近似方法的分析结果与有限元分析结果进行对比发现,在均布荷载下,两者计算的挠度值相差不超过10%。This paper describes an approximate analytical method to determine the large-deflection behaviour of rec-tangular simply supported thin plates under transverse loading. The method is based on a simple trial function to describe the shape of the initial and total deflections of the plate, corresponding to the first buckling mode shape of the plate when subjected to uniform in-plane compression. Therefore, the large-deflection behaviour of the plate under transverse loading can be expressed as a function of the ratio of the pre-to post-buckling in-plane stiffness of the plate, which is given in literature for plates with various membrane boundary conditions of the plate edges. Due to the simplicity of the trial function flexural and membrane actions of the plate are decoupled. It was found that the approximate method gives good insight into the large-deflection behaviour. The results of the approximate method have been compared to the results of finite element solutions and solutions available in literature. For uniformly distributed loads the approximate method gives deflections which differ less than about 10% from the finite element simulation values.

关 键 词：矩形板 弹性性能 大挠度 横向荷载 缺陷 

分 类 号：TU312.1[建筑科学—结构工程]