한국전산구조공학회:학술대회논문집 (Proceedings of the Computational Structural Engineering Institute Conference)
- 한국전산구조공학회 2000년도 가을 학술발표회논문집
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- Pages.355-360
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- 2000
CUBIC B-SPLINE을 이용한 고유치 해석
EIGENVALUE ANALYSIS USING PIECEWISE CUBIC B-SPLINE
초록
This paper presents properties of piecewise cubic B-spline function and Rayleigh-Ritz method to compute the smallest eigenvales. In order to compute the smallest eigenvalues, Rayleigh quotient approach is used and four different types of finite element approximating functions corresponding to the statical deflection curve, spanned by the linearly independent set of piecewise cubic B-spline functions with equally spaced 5 knots from a partion of [0, 1], each satisfying homogeneous boundary conditions with constraining effects are used to compute the smallest eigenvalues for a Sturm-Lionville boundary equations of u"+ λ²u=0, u(0.0)=u(0.0)=0, 0≤x≤1.0.
키워드