한국전산구조공학회:학술대회논문집 (Proceedings of the Computational Structural Engineering Institute Conference)
- 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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- Pages.465-472
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- 1998
비대칭 단면을 갖는 박벽 원형아치의 자유진동 해석
Free Vibration Analysis of Thin-walled Circular Arch with Unsymmetric Section
초록
In this study, analytic solution and finite element formulation for the free vibration analysis of thin-walled circular arch, based on linearized virtual work and Vlasov's assumption, including restrained warping effect and second order terms of finite semitangential rotations, is presented. The total potential energy is derived by applying the Hellinger-Reissner principle. In this formulation, all displacement parameters of deformation are defined at the centroid axis. For the finite element formulation, the two node cubic Hermitian polynomials are utilized as shape functions. In special case, potential energy functional of thin-walled curved beam with monosymmetric cross section is derived. From this methodology, analytic solution for the free vibration of monosymmetric circular arch with simply supported is derived. In order to illustrate the accuracy of this study, various parameter studies for free vibration of circular arches are presented and compared with numerical solution analyzed by the FEM using straight beam element.
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