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二次样条元 被引量:2

The Square Spline Element
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摘要 利用二次B样条函数构造样条元的位移场函数,建立了弹性直梁样条元和薄板的半解析样条元,并计算了等截面、变截面梁和板.结果表明,二次样条元具有未知量少、精度高、占用计算机内存少等优点。 The square B-spline function was used as the function of displacement field.The spline element of elastic straight beam and semi-analytical spline element of thin slab were derived.Several examples about constant or variable thickness beams and slabs were computed. The results show that the square spline elements have higher accuracy,less unknowns and occupation of memory space than the common elements or strip elements.
作者 杨绿峰
机构地区 广西大学土木系
出处 《广西科学》 CAS 1994年第2期7-11,共5页 Guangxi Sciences
关键词 样条元 变分原理 有限样条元法 spline element square spline function finite spline element method
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同被引文献12

  • 1杨绿峰.样条矩阵法[J].广西大学学报(自然科学版),1994,19(1):61-65. 被引量:1
  • 2Henshe|l R D, Shaw K G. Crack tip finite elements are unnecessary [J]. International Journal for Numerical Methods in Engineering, 1975(9): 495-507.
  • 3Barsoum R S. On the use of isoparametric finite elements in linear fracture mechanics [J]. International Journal for Numerical Methods in Engineering, 1976(10): 25-37.
  • 4Williams M L. Stress singularities resulting from various boundary conditions in angular comers of plates in extension [J]. Journal of Applied Mechanics, ASME, 1952(19): 526-528.
  • 5Cheung Y K, Jiang C P. Application of the finite strip method to plane fracture problems [J]. Engineering Fracture Mechanics, 1996(53): 89-96.
  • 6应隆安.无限元方法[M].北京:北京大学出版社,1995.
  • 7Leung A Y T, Su R K L. Mode I crack problems by fractal two level finite element methods [J]. Engineering Fracture Mechanics, 1994(48): 847-856.
  • 8Xie J F, Fok S L, Leung A Y T. A parametric study on the fratal finite element method for two dimensional crack problems [J]. International Journal for Numerial Methods in Engineering, 2003(58): 631 -642.
  • 9Su R K L, Fong W J. Accurate determination of mode I and II leading coefficients of the Williams expansion by finite element analysis [J]. Finite Elements in Analysis and Design, 2005(41): 1175 - 1186.
  • 10Li Q S, Yang L F. The quintic finite element with generalized degrees of freedom in structural analysis [J]. International Journal of Solids and Structures, 2001(38): 5355-5372.

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