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Application of Numerical Differentiation in Structural Analyses of Arch Structures  

Lee, Byoung-Koo (원광대학교 토목환경공학과)
Kim, Suk-Ki (단국대학교 토목환경공학과)
Lee, Tae-Eun (원광대학교 토목환경공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.19, no.4, 2006 , pp. 441-447 More about this Journal
Abstract
This paper deals with the application of the numerical differentiation in the structural analyses. Derivative values of the geometry of structure are definitely needed for analysing the structural behavior. In this study, free vibration problems of arches are chosen for verifying the numerical differential technique in the structural analyses. The curvature parameters composed with the derivatives of arch geometry obtained herein are quite agreed with those of analytical method. Also, natural frequencies with curvature parameters obtained by using the forward fifth polynomial method are quite agreed with those in the literature. The numerical differentiation technique can be practically utilized in the structural analyses.
Keywords
numerical differentiation; forward fifth polynomial method; structural analysis; natural frequency;
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