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扁拱平面内失稳的突变模型分析 被引量:3

THE ANALYSIS OF CATASTROPHE MODEL OF FLAT-ARCH UNSTABILITY IN LOAD PLANE
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摘要 本文通过对两端固定铰支的扁拱在匀布竖向荷载作用下,在荷载作用平面内失稳突变模型的分析,确定了扁拱平面内失稳的突变模型为尖点突变。用突变理论解释了扁拱平面失稳发生跳跃屈曲的现象。 This paper determines that catastrophe model of unstability of flat-arch,which is supported with two fixed-hinges at each end and carried on equivalentdistributed load, is the cuspoid catastrophe. It is explained why flatr-archunstability in load plane has a phenomenon of snap-through buckling bycatastrophe theory.
出处 《交通科学与工程》 1991年第4期83-88,共6页 Journal of Transport Science and Engineering
关键词 扁拱 跳跃屈曲 突变 flat—arch snap—through buckling catastrophe
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参考文献1

  • 1[英]桑博德 著,凌复华.突变理论入门[M]上海科学技术文献出版社,1983.

同被引文献28

  • 1李召兵,陈晓红.基于突变理论的扁拱跳跃屈曲分析[J].山西建筑,2005,31(14):51-52. 被引量:2
  • 2Austin W J, F. ASCE. In-Plane Bending and Buckling of Acrhes [J]. Journal of the Structural Division, 1971, 97 (5) : 1575- 1592.
  • 3Calhoun P R, DaDeppo D A. Nonlinear Finite Element Analysis of Clamped Arehes [ J ]. Journal of Structural Engineering, ASCE, 1983, 109(3):599-612.
  • 4CHEN Chang-new. A Finite Element Study on Bifurcation and Limit Point Buckling of Elastic-plastic Arches[ J]. Computers & Structures, 1996, 60 (2) : 189-196.
  • 5PI Yong-litt, Bradford M A, Uy B. In-plane Stability of Arches [J]. International Journal of Solids and Structures, 2002, 39 ( 1 ) : 105-205.
  • 6Bradford M A, ZHANG Y-X, Gilbert R I, et al. In-plane Nonlinear Analysis and Buckling of Tied Circular Arches [ J ]. Advances in Structural Engineering, 2006, 9 ( 3 ) : 311-319.
  • 7Bradford M A, M. ASCE, WANG T, et al. In-plane Stability of Parabolic Arches with Horizontal Spring Supports. 1: Theory [J]. Journal of Structural Engineering, 2007, 133 ( 8 ) : 1138- 1145.
  • 8Tien W M, Namachchivaya N, Malhotra N. Non-linear Dynamics of a Shallow Arch under Periodic Excitation. II : 1 : I Internal Responce [ J ]. International Journal of Non-linear Mechanics, 1994, 29(3) : 367-386.
  • 9BI Q, DAI H H. Analysis of Non-linear Dynamics and Bifurcations of a Shallow Arch Subjected to Periodic Excitation with Internal Resonance[ J]. Journal of Sound and Vibration, 2000, 233(4) : 553-567.
  • 10Breslavsky I, Avramov K V, Mikhlin Y, et al. Nonlinear Modes of Snap-through Motions of a Shallow Arch[ J]. Journal of Sound and Vibration, 2008, 311(1-2): 297-313.

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