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改进动力松弛法在膜结构找形中的应用 被引量:7

THE MODIFIED DYNAMIC RELAXATION METHOD FOR FORM-FINDING OF MEMBRANE STRUCTURES
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摘要 该文针对动力松弛法中阻尼参数的取值提出了简便计算方法,通过算例分析,证实了提出的阻尼计算方法和结构的临界阻尼相接近。针对建筑师对膜面造型的变化要求,对动力松弛法进行改进:根据对典型马鞍面的轮廓分析,以改变膜曲面造型为目标,通过引入函数f(L)=(d/L)^α修正了动力松弛法中节点刚度的取值。改进后的动力松弛法可以依据建筑师的不同要求,通过调整参数α来得到不同的不等应力膜面,大大扩展了经典动力松弛法的适用范围。 Dynamic relaxation method is modified in two aspects: 1) Simple procedure to gain the damp value directly, which is close to that of the critical damp, as verified by examples. 2) Extended applicable range to meet the architects' expectation of more shapes. In analyzing the HP-type membrane, function f(L)=(d/L)^α is introduced to modify the node stiffness. Then the shape of membrane is adjusted by changing parameter α. Finally, the desired membrane shapes are obtained. In this way, the application of the classic dynamic relaxation method is extended.
出处 《工程力学》 EI CSCD 北大核心 2008年第12期194-201,共8页 Engineering Mechanics
基金 江苏省"六大人才高峰"基金项目(建筑B类)
关键词 索膜结构 找形方法 动力松弛法 算法改进 找形分析 membrane structure form fmding method dynamic relaxation method improved algorithm formfinding analysis
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参考文献8

  • 1杨庆山,姜忆南.张拉索.膜结构分析与设计[M].北京:科学出版社,2004.
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  • 3Wood R D. A simple technique for controlling element distortion in dynamic relaxation form-finding of tensi1 membranes [J]. Computers and Structures, 2002, 36(19 2115--2120.
  • 4陆鉴恒,金康宁.索膜结构的动力松弛找形法参数简化[J].华中科技大学学报(城市科学版),2006,23(1):82-84. 被引量:2
  • 5Michael R Barnes. Form finding and analysis of tension structures by dynamic relaxation [J]. International Journal of Space Structures, 1999, 14(2): 89--104.
  • 6叶继红,李爱群,刘先明.动力松弛法在索网结构形状确定中的应用[J].土木工程学报,2002,35(6):14-19. 被引量:23
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  • 8毛国栋,孙炳楠.索膜结构初始形状确定的综合设计法[J].建筑结构学报,2004,25(4):87-93. 被引量:5

二级参考文献7

  • 1A.S. day, Bunce. J. H. Analysis of cable networks by dynamic relaxation. Civil Engng. Public Works Rev. 4,1970, pp. 383~386
  • 2Levis, W. J. Jones. M. S. Dynamic relaxation analysis of the nonlinear static response of pretensioned cable roofs. Computer and Structures, 1984,Vol.18,No.6,pp.989~997
  • 3Barnes. M. R. Form-finding, analysis and patteming of tension strctures. The 3nd Int. Conf. on Space Structures,1984, pp. 730~736
  • 4BELTZINGER Kai-Uwe, RAMM Ekkehard. A general finite element approach to the form finding of tensile structure by the updated reference strategy[J]. International Journal of Space Structures, 1999, 14(2): 131-145.
  • 5BARNES Michael R. Form finding and analysis of tension structures by dynamic relaxation[J]. International Journal of Space Structures, 1999, 14(2): 89- 104.
  • 6Day A S,Bunce J H.Analysis of cable networks by dynamic relaxation[J].Civil Engineering Public Works Review,1970,(4):383-386.
  • 7Barnes M R.Form finding and analysis of prestressed nets and membranes[J].Computer and Structure,1988,30(3):685-695.

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