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含多个纵向圆孔的圆轴的扭转 被引量:1

Torsion of Circular Shaft Containing Longitudiual Circular Holls
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摘要 本文应用弹性理论复交函数方法,并借助于解析延展,求得了含多个纵向圆孔的圆轴扭转时用级数表示的复扭曲函数、应力分量、位移分量、抗扭刚度和边界上的切应力。 This paper, by using complex variable methods in linear elasticityand by means of analytic continuation, obtains for this problem a complextorsional function, shear stress components, displacement components, thetorsional rigidity and shear stresses on boundaries, expressed in terms ofseries.
作者 尹昌言
机构地区 洛阳工学院
出处 《东北重型机械学院学报》 1989年第3期10-18,共9页
关键词 圆轴的扭转 应力场 位移场 torsion of circular shaft stress field displacement fieldl
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参考文献2

  • 1尹昌言.有穿透裂纹的圆柱体扭转应力及应力强度因子[J]固体力学学报,1982(03).
  • 2E. Weinel. Das Torsionsproblem für den exzentrischen Kreisring[J] 1932,Ingenieur - Archiv(1):67~75

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  • 1李永奇,张卫红.模拟求解任意截面杆扭转的化复为单有限元方法[J].兰州理工大学学报,2006,32(2):158-161. 被引量:3
  • 2欧贵宝.多连域截面杆扭转问题的边界元法[J].哈尔滨船舶工程学院学报,1988,9(4):469-475.
  • 3SAPOUNTZAKIS E J, TSIPIRAS V J. Composite bars of arbitrary cross section in nonlinear elastic nonuniform torsion by BEM [J]. J Eng Mech, 2009, 135(12): 1354-1367.
  • 4SAPOUNTZAKIS E J, DIKAROS I C. Non-linear flexural-torsional dynamic analysis of beams of arbitrary cross section by BEM [J]. Int J Nonlinear Mech, 2011, 46(5): 782-794.
  • 5IDELSOHN S R, ONATE E, CALVO N, et al. The meshless finite element method[J]. Int J Numer Methods Eng, 2003, 58(6) : 893-912.
  • 6KIM Y Y, KIM T S. Topology optimization of beam cross sections [J]. Int J Solids Struct, 2000, 37(3): 477-493.
  • 7HANSBO P, LARSON M G. Discontinuous Galerkin methods for incompressihle and nearly incompressible elasticity by Nitsche' s method [J]. Comput Methods Appl Mech Eng, 2002, 191(17/18): 1895-1908.
  • 8LUBARDA V A. On the torsion constant of multicell profiles and its maximization with respect to spar position [J]. Thin Wall Struet, 2009, 47(6/7) : 798-806.
  • 9KIM J H, KIM Y Y. Thin-walled muh:icell beam analysis for coupled torsion, distortion, and warping deformations [J]. J Appl Mech, 2001, 68(2) : 260-269.
  • 10LI Zhao-xia, KO J M, NI Y Q. Torsional rigidity of reinforced concrete bars with arbitrary sectional shape [J]. Finite Elem Anal Des, 2000, 35(4): 349-361.

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