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RM 등기하 판요소를 이용한 적층판의 자유진동 및 선형좌굴 해석
김하룡,이상진,Kim, Ha-Ryong,Lee, Sang-Jin 한국공간구조학회 2014 한국공간구조학회지 Vol.14 No.2
A study on the vibration and buckling analyses of laminated composite plates is described in this paper. In order to carry out the analyses of laminated composite plates, a NURBS-based isogeometric general plate element based on Reissner-Mindlin (RM) theory is developed. The non-uniform rational B-spline (NURBS) is used to represent the geometry of plate and the unknown displacement field and therefore, all terms required in this element formulation are consistently derived by using NURBS basis function. Numerical examples are conducted to investigate the accuracy and reliability of the present plate element. From numerical results, the present plate element can produce the isogeometric solutions with sufficient accuracy. Finally, the present isogeometric solutions are provided as future reference solutions.
고차전단변형이론을 이용한 대칭 및 비대칭 적층 판의 유한요소해석
김하룡(Kim Ha-Ryong),이상진(Lee Sang-Jin) 대한건축학회 2007 대한건축학회 학술발표대회 논문집 - 계획계/구조계 Vol.27 No.1
Three finite elements based on higher order shear deformation theory are developed to investigate the behavior of symmetric and unsymmetric laminated composite plates. These models are based on Reddy's higher order shear deformation theory so that it considers the parabolic distribution of shear deformation through plate thickness direction. Each of present finite elements has seven degrees of freedom per node and denoted as HDS4, HDS8, HDS9 for 4-node, 8-node and 9-node plate elements respectively. Numerical examples are carried out for symmetric and unsymmetric laminated composite plate with various thickness values. Numerical results are compared with reference solutions produced by the first shear deformation theory and other higher order- shear deformation theories.