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Structural Engineering and Mechanics
  Volume 18, Number 2, August 2004 , pages 247-262
DOI: https://doi.org/10.12989/sem.2004.18.2.247
 


A non-symmetric non-periodic B3-spline finite strip method
Kyeong-Ho Kim and Chang-Koon Choi

 
Abstract
    In the earlier application of the spline finite strip method(FSM), the uniform B3-spline functions were used in the longitudinal direction while the conventional interpolation functions were used in the transverse direction to construct the displacement filed in a strip. To overcome the shortcoming of the uniform B3-spline, non-periodic B-spline was developed as the displacement function. The use of non-periodic B3-spline function requires no tangential vectors at both ends to interpolate the geometry of shell and the Kronecker delta property is also satisfied at the end boundaries. Recently, non-periodic spline FSM which was modified to have a multiple knots at the boundary was developed for the shell analysis and applied to the analysis of bridges. In the formulation of a non-symmetric spline finite strip method, the concepts of non-periodic B3-spline and a stress-resultant finite strip with drilling degrees of freedom for a shell are used. The introduction of non-symmetrically spaced knots in the longitudinal direction allows the selective local refinement to improve the accuracy of solution at the connections or at the location of concentrated load. A number of numerical tests were performed to prove the accuracy and efficiency of the present study.
 
Key Words
    non-periodic B-spline function; stress-resultant shell; a non-symmetric spline finite strip method.
 
Address
Kyeong-Ho Kim; Chungsuk Engineering Specific, Structural Division,
57 Karak-dong, Songpa-gu, Seoul, Korea
Chang-Koon Choi; Department of Civil and Environmental Engineering, KAIST, Daejeon 373-1, Korea
 

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