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3-Node Relaxed-Equiribrium Hybrid-Mixed Curved Beam Elements  

Kim, Jin-Gon (대구가톨릭대학교 기계자동차공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.21, no.2, 2008 , pp. 153-160 More about this Journal
Abstract
In this study, we propose a new three-node hybrid-mixed curved beam element with the relaxed-equiribrium stress functions for static analysis. The proposed element considering shear deformation is based on the Hellinger-Reissner variational principle. The stress functions are carefully chosen from three important considerations: (i) all the kinematic deformation modes must be suppressed, and (ii) the spurious constraints must be removed in the limiting behaviors via the field-consistency, and (iii) the relaxed equilibrium conditions could be incorporated because it might be impossible to select the stress functions and parameters to fully satisfy both the equiribrium conditions and the suppression of kinematic deformation modes in the three-node curved beam hybrid-mixed formulation. Numerical examples confirm the superior and stable behavior of the proposed element regardless of slenderness ratio and curvature. Besides, the proposed element shows the outstanding performance in predicting the stress resultant distributions.
Keywords
hybrid-mixed formulation; hellinger-reissner variational principle; 3-node curved beam element; stress parameters; relaxed equiribrium stress functions;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 서광진, 민병철, 김문영 (2000) 곡률이 변하는 박벽 곡선보의 3차원 자유진동 및 좌굴해석, 한국전산구조공학회 논문집,13(3), pp.321-328
2 김진곤, 박용국 (2006) 곡선보의 자유진동해석을 위한 고차 혼합요소, 한국전산구조공학회 논문집, 19(2), pp.151-160   과학기술학회마을
3 Prathap, G., Babu, C. R. (1986) An isoparametric quadratic thick curved beam element, International Journal for Numerical Method in Engineering, 23, pp.1583-1600   DOI   ScienceOn
4 Zhang, Z. (1992) A Note on the Hybrid-Mixed $C^0$ Curved Beam Elements, Computer Methods in Applied Mechanics and Engineering, 95, pp.243-252   DOI   ScienceOn
5 Kim, J. G., Kim,Y. Y. (1998) A New Higher-Order Hybrid-Mixed Curved Beam Element, International Journal for Numerical Method in Engineering, 43, pp.925-940   DOI   ScienceOn
6 Saleeb, A. F., Chang, T. Y. (1987) On the Hybrid-Mixed Formulation $C^0$ Curved Beam Elements, Computer Methods in Applied Mechanics and Engineering, 60, pp.95-121   DOI   ScienceOn
7 이병구, 오상진 (1996) 원호형 곡선보의 면외 자유진동에 관한 수치해석적 연구, 한국전산구조공학회 논문집, 8(1), pp.133-139
8 Pai, P. F., Schulz, M. J. (1999) Shear Correction Factors and An Energy-Consistent Beam Theory, International Journal of Solids and Structures, 36, pp.1523-1540   DOI   ScienceOn
9 Dawe, D.J. (1974) Numerical studies using circular arch finite elements, Computers & Structures, 4, pp.729-740   DOI   ScienceOn
10 이병구, 박광규, 모정만, 이재만 (1998) 변단면 수평 곡선보의 자유진동에 관한 연구, 한국전산구조공학회 논문집, 11(3), pp.155-164
11 유하상, 신효철 (1997) 곡선보 요소의 고유치 해석에서 질량행렬의 영향, 대한기계학회논문집, 21(2), pp.288-296
12 Babu, C. R., Prathap, G. (1986) A linear thick curved beam element, International Journal for Numerical Method in Engineering, 23, pp.1313-1328   DOI   ScienceOn
13 Stolarski, H., Belytschko, T. (1983) Shear and membrane locking in curved C0 elements, Computer Methods in Applied Mechanics and Engineering, 41, pp.279-296   DOI   ScienceOn
14 Pian, T. H. H., Chen, D. P. (1982) Alternative Ways for Formulation of Hybrid-Stress Elements, International Journal for Numerical Method in Engineering, 18, pp.1679-1684   DOI
15 Stolarski, H., Belytschko, T. (1982) Membrane locking and reduced integration for curved elements, Journal of Applied Mechanics, 49, pp.172-176   DOI
16 Kim, J. G., Park, Y. K. (2006) Hybrid-Mixed Curved Beam Elements with Increased Degrees of Freedom for Static and Vibration Analyses, International Journal for Numerical Method in Engineering, 68, pp.690-706   DOI   ScienceOn
17 Leung, A. Y. T., Zhu, B. (2004) Fourier p-elements for curved beam vibrations, Thin-Walled Structures, 42, pp.39-57   DOI   ScienceOn
18 Kaneko, T. (1975) On Timoshenko's Correction for Shear in Vibrating Beams, J. Phys. D: Appl. Phys., 8, pp.1927-1936   DOI   ScienceOn
19 김진곤, 노병국 (2003) 혼합 유한요소를 이용한 축대칭 쉘의 정동적해석, 한국전산구조공학회 논문집, 16(2), pp.165-172
20 Noor, A. K., Peters, J. M. (1981) Mixed models and reduced/selective integration displacement models for nonlinear analysis of curved beams, International Journal for Numerical Method in Engineering, 17, pp.615-631   DOI   ScienceOn