Numerical Formulation of Axisymmetric Shell Element and Its Application to Geotechnical Problems

Hosung Shin; Jin-Wook Kim

doi:10.7843/kgs.2020.36.12.27

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2020 Vol.36, Issue 12 Preview Page Next Page

Research Article

Numerical Formulation of Axisymmetric Shell Element and Its Application to Geotechnical Problems 축대칭 쉘 요소의 유한요소 수식화와 지반공학적 활용

31 December 2020. pp. 27-34

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Abstract

Use of axisymmetric shell element for the structure increases the efficiency and accuracy in finite element analysis of the interaction between the ground and the structure. This paper derived the force balance equation and the moment balance equation for an axisymmetric shell element based on Kirchhoff's theory. The governing equation for the axial deformation used the isoparametric shape function in the Galerkin formulation, and the governing equation for the shell bending used the higher-order shape function. The developed axisymmetric shell element was combined with Geo-COUS, a geotechnical finite element program for the coupled analysis with the ground. The accuracy of the developed element was confirmed through the example analyses of the circular plate and the liquid storage tank. And the energy balance equation for the axisymmetric shell element is presented.

Keywords

Axisymmetric shell element

FEM

Soil-structure interaction

구조물에 대한 축대칭 쉘요소는 지반과 구조물의 상호작용에 대한 유한요소해석에서 효율성과 정확성을 높이게 된다. 본 논문에서는 Kirchhoff 이론에 근거한 축대칭 쉘요소의 힘평형 방정식과 모멘트 평형 방정식을 유도하였다. 축방향 변형에 대한 지배방정식은 등매개변수 형상함수를 이용한 Galerkin 수식화를 수행하고, 휨에 대한 지배방정식은 고차의 형상함수를 이용하였다. 개발된 축대칭 쉘요소는 지반과의 연계해석을 위하여 지반해석 유한요소 프로그램인 Geo-COUS에 결합하였다. 원형판과 액체 저장 탱크에 대한 예제해석을 통하여 개발된 요소의 정확성을 확인하였다. 그리고 축대칭 쉘요소에 대한 에너지 평형방정식을 제시하였다.

References

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Information

Publisher :The Korean Geotechnical Society
Publisher(Ko) :한국지반공학회
Journal Title :Journal of the Korean Geotechnical Society
Journal Title(Ko) :한국지반공학회 논문집
Volume : 36
No :12
Pages :27-34
Received Date : 2020-11-02
Revised Date : 2020-11-30
Accepted Date : 2020-11-30
DOI :https://doi.org/10.7843/kgs.2020.36.12.27

Journal of the Korean Geotechnical SocietyISSN:1229-2427(Print) 2288-646X(Online)한국지반공학회

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