Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Free Vibration Analysis of Compressive Tapered Members Resting on Elastic Foundation Using Differential Quadrature Method

미분구적법(DQM)을 이용한 탄성지반 위에 놓인 변단면 압축부재의 자유진동 해석

  • Published : 2002.12.01
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Abstract

This paper deals with the free vibration analysis of compressive tapered members resting on elastic foundation using the Differential Quadrature Method. Based on the differential equation subjected to the boundary conditions, adopted from the open literature, which governs the free vibrations of such member, this equation is applied to the Differential Quadrature Method. For computing natural frequencies, the numerical procedures are developed by QR Algorithm, in which the Chebyshev-Gauss-Lobatto method is used for choosing the grid points. The numerical methods developed herein for computing natural frequencies are programmed in FORTRAN code, and all solutions obtained in this study are quite agreed with those in the open literature.

이 논문은 미분구적법(DQM)을 이용한 탄성지반 위에 놓인 변단면 압축부재의 자유진동에 관한 연구이다. 문헌고찰을 통하여 채택한 지배미분방정식과 경계조건을 DQM에 적용하여 고유진동수를 산출할 수 있는 수치해석법을 개발하였다. DQM에서 수치적분을 위한 격자점의 선택은 Chebyshev-Gauss-Lobatto 법을 택하고, 고유치의 산정은 QR 알고리듬을 이용하였다. 타문헌과의 결과비교를 통하여 본 연구의 걸과가 타당함을 보였고, DQM에 대한 적용성 검토에서 고유진동수의 산출이 매우 안정적임을 보였다.

Keywords

References

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