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点支承网架分析的能量变分法

Analysis of Energy Variation Method on Grid Frame Supported on Point

【作者】 周浪

【导师】 韦树英;

【作者基本信息】 广西大学 , 固体力学, 2004, 硕士

【摘要】 随着社会对大跨度大空间的需要,点支承网架的应用越来越广泛。目前关于它的计算方法主要是空间桁架位移法和差分法,然而,这些方法需要编制大型的程序,计算量大,计算过程较繁琐,对于点支承网架的初步设计来说是不经济、费机费时的,为此本文对于点支承网架的初步设计提出一种新的计算方法—能量变分法。本文将点支承网架连续化,用刚度分解能量变分法对带悬挑四点支承网架和四角点支承网架以及中心点支承网架进行静力和动力计算分析。通过对四个算例的计算结果与试验值以及用ANSYS计算结果进行比较,结果十分吻合,有足够的精度,而且更加方便,省时,计算过程不繁琐,因此本文方法是个经济实用的方法。

【Abstract】 With the increase of the need to long span and big room, the application of point-supported grid frame gets more abroad. Computations about point-supported grid frame are space trusses displacement method and finite difference method mostly, but these methods need program and progress is fussy, these methods are diseconomy and wasting compute and time for preliminary design of point-supported grid frame o So a new calculation for preliminary design of point-supported grid frame that energy variation method is given in this article. Point -supported grid frame is regarded as sandwich plate, static and dynamic analysis on grids supported on four points with arms, grids supported on four corners and grids supported on center point have been done in the article with the disassemble rigidity energy variation method. Four examples are given to demonstrate that the precision approach test figure and result of ANSYS, and that it is more simple and practical than others, so method in this article is a economical and practical computationmethod.

【关键词】 网架点支承能量变分法
【Key words】 grid famepoint-supportedenergy variation method
  • 【网络出版投稿人】 广西大学
  • 【网络出版年期】2004年 04期
  • 【分类号】TU356
  • 【被引频次】1
  • 【下载频次】62
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