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具有中心对称特征六边形核简的受扭连续化分析

Torsion Behavior of a Class of Hexagonal Core Tube Possessing Centrally Symmetrical Feature Analyzed by the Continuous Method

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【作者】 涂永明吕志涛赵洁钱洋

【Author】 Tu Yongming L?Zhitao ZhaoJie, etc. 1. Key Laboratory of Reinforced and Prestressed Structure of EducationMinistry,Southeast University,Nanjing 210096, China;2.State Key Laboratory of SubtropicalBuilding Science,South China University of Technology,Guangzhou 510640,China;3. Architectural Design and Research Institute, Southeast University, Nanjing 210096, China

【机构】 东南大学混凝土与预应力混凝土结构教育部重点实验室华南理工大学亚热带建筑科学国家重点实验室东南大学建筑设计研究院

【摘要】 根据连续化方法,采用完备的三角函数系表示一类具有中心对称特征六边形核筒在扭矩作用下的形函数,推导出核筒中的剪力墙的正应力和剪应力公式,并得出核筒各部分的应变能。根据最小势能原理,推导出扭矩作用下核筒关键点处的位移值,得到受扭核筒转角及任意指定点的应力、应变和连梁的剪力等。采用文中的连续化方法对一个算例进行了计算,验证了该方法的有效性和高效性。文中提出的连续化方法可以为工程实践提供一定的参考。

【Abstract】 The displacement shape functions of a class of hexagonal core tube possessing centrally symmetrial feature are constructed with the self-contained trigonometric function series based on the continuous method, And then the formulae of normal stress and shear stress in the shear walls of the core tube subjected to a torque are brought forward. The formulae of the strain energy in each part of the core tube are obtained. Consequently, the warp displacement values of the key points could be calculated by the principle of minimum potential energy, so that the torsion displacement, the stresses and the strains of the designated points, and the shear forces in the beams of the core tube will be obtained. The validity and high efficiency of the continuous method are proved by an example. And the continuous method can provide reference for practical engineering.

【基金】 国家自然科学基金资助项目(No.50178018,No.50808039);教育部博士点基金新教师资助项目(No.070286095);江苏省自然科学基金资助项目(BK2008148);华南理工大学亚热带建筑科学国家重点实验室开放研究项目(2008KB24)
  • 【文献出处】 特种结构 ,Special Structures , 编辑部邮箱 ,2008年05期
  • 【分类号】TU352.1
  • 【下载频次】20
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