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Structural Engineering and Mechanics Volume 62, Number 1, April10 2017 , pages 33-42 DOI: https://doi.org/10.12989/sem.2017.62.1.033 |
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Nonlinear torsional analysis of 3D composite beams using the extended St. Venant solution |
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Kyungho Yoon, Do-Nyun Kim and Phill-Seung Lee
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| Abstract | ||
| We present in this paper a finite element formulation for nonlinear torsional analysis of 3D beams with arbitrary composite cross-sections. Since the proposed formulation employs a continuum mechanics based beam element with kinematics enriched by the extended St. Venant solutions, it can precisely account higher order warping effect and its 3D couplings. We propose a numerical procedure to calculate the extended St. Venant equation and the twisting center of an arbitrary composite cross-section simultaneously. The accuracy and efficiency of the proposed formulation are thoroughly investigated through representative numerical examples. | ||
| Key Words | ||
| nonlinear analysis; finite element method; beam; composite; torsion; warping | ||
| Address | ||
| Kyungho Yoon: Department of Mechanical and Aerospace Engineering, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul 08826, Republic of Korea Do-Nyun Kim: Department of Mechanical and Aerospace Engineering, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul 08826, Republic of Korea; Institue of Advanced Machines and Design, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul 08826, Republic of Korea Phill-Seung Lee: Department of Mechanical Engineering, Korean Advanced Institute for Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea | ||