Developments in the Use of Cubic B-Splines in the Compound Strip Method

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by R. M. Gutkowski, Colorado State Univ, Ft. Collins, United States,
C. J. Chen, Colorado State Univ, Ft. Collins, United States,
J. A. Puckett, Colorado State Univ, Ft. Collins, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond

Abstract: A general cubic B-spline compound strip method (BCSM) has been developed to analyze thin plates, stiffened plates, folded plates, and box-girders. In the BCSM a problem is first partially discretized to an ordinary differential equation by the finite element method. Then, the equation is solved using the Ritz-Galerkin method with unequally spaced cubic B-spline functions. The BCSM uses a special element 'strip'. The strip is described as a product of the longitudinal cubic B-spline series and conventional transverse polynomial shape functions. Incorporation of stiffening beams, column supports and bracing elements, is summarized.

Subject Headings: Spline (mathematics) | Folded plates | Stiffening | Finite element method | Beam columns | Box girders | Differential equations | Polynomials |

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