개선된 자연변형률 쉘 요소를 이용한 판의 진동해석

국문 초록 (Abstract)

본 논문에서는 회전관성과 전단변형이 고려된 8절점 쉘 요소를 이용한 판의 진동해석을 연구하였다. 면내 잠김과 전단 잠김 현상을 극복하기 위하여 가정자연변형률 방법을 이용하였다. 8절점 쉘 요소의 성능 향상을 위해 새 로운 보간점의 조합을 이용한 가정변형률 방법을 사용하였다. Reissner-Mindlin 이론에 근거한 개선된 1차 전단변형이 론을 적용하여 회전관성을 고려하였으며 전단보정계수를 사용하지 않았다. 본 연구의 결과를 검증하기 위해 참고문헌 의 직사각형 판의 동적 해석결과를 제시하였다. 해석결과는 참고문헌의 결과와 잘 일치하였다. 또한 감쇄효과가 고려 된 판의 진동해석을 수행하였다.

다국어 초록 (Multilingual Abstract)

In this paper, we investigate the vibration analysis of plates, using an 8-node shell element that accounts for the transverse shear strains and rotary inertia. The forced vibration analysis of plates subjected to arbitrary loading is investigated. In order to overcome membrane and shear locking phenomena, the assumed natural strain method is used. To improve an 8-node shell element for forced vibration analysis, the new combination of sampling points for assumed natural strain method was applied. The refined first-order shear deformation theory based on Reissner-Mindlin theory which allows the shear deformation without shear correction factor and rotary inertia effect to be considered is adopted for development of 8-node assumed strain shell element. In order to validate the finite element numerical solutions, the reference solutions of plates are presented. Results of the present theory show good agreement with the reference solution. In addition the effect of damping is investigated on the forced vibration analysis of plates.

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