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Static Analysis of Timoshenko Beams using Isogeometric Approach
Sang Jin LEE,Kyoung Sub PARK 대한건축학회 2014 Architectural research Vol.16 No.2
A study on the static analysis of Timoshenko beams is presented. A beam element is developed by using isogeometric approach based on Timoshenko beam theory which allows the transverse shear deformation. The identification of transverse shear locking is conducted by three refinement schemes such as h-, p- and k-refinement and compared to other reference solutions. From numerical examples, the present beam element does not produce any shear locking in very thin beam situations even with full Gauss integration rule. Finally, the benchmark tests described in this study is provided as future reference solutions for Timoshenko beam problems based on isogeometric approach.
Static Analysis of Timoshenko Beams using Isogeometric Approach
이상진,박경섭 대한건축학회 2014 Architectural research Vol.16 No.2
A study on the static analysis of Timoshenko beams is presented. A beam element is developed by using isogeometric approach based on Timoshenko beam theory which allows the transverse shear deformation. The identification of transverse shear locking is conducted by three refinement schemes such as h-, p- and k-refinement and compared to other reference solutions. From numerical examples, the present beam element does not produce any shear locking in very thin beam situations even with full Gauss integration rule. Finally, the benchmark tests described in this study is provided as future reference solutions for Timoshenko beam problems based on isogeometric approach.
Static Analysis of Timoshenko Beams using Isogeometric Approach
Lee, Sang Jin,Park, Kyoung Sub Architectural Institute of Korea 2014 Architectural research Vol.16 No.2
A study on the static analysis of Timoshenko beams is presented. A beam element is developed by using isogeometric approach based on Timoshenko beam theory which allows the transverse shear deformation. The identification of transverse shear locking is conducted by three refinement schemes such as h-, p- and k-refinement and compared to other reference solutions. From numerical examples, the present beam element does not produce any shear locking in very thin beam situations even with full Gauss integration rule. Finally, the benchmark tests described in this study is provided as future reference solutions for Timoshenko beam problems based on isogeometric approach.
박경임(Park, Gyeong-Im),이상진(Lee, Sang-Jin) 대한건축학회 2016 大韓建築學會論文集 : 構造系 Vol.32 No.2
In this paper, the isogeometric topology optimization (TO) technique is presented for plane structures. Isogeometric concept uses the same NURBS basis functions for both the computer-aided geometric design (CAGD) representation and the field functions. Therefore, the exact geometric models are naturally used in TO process. In addition, the NURBS basis functions are consistently used as the material distribution functions. Since the point-wise design variables are adopted, the proposed TO technique is completely free from checker boarding phenomenon without additional constraints or a filtering technique. The validity and applicability of the presented TO technique are demonstrated by solving TO problems for plane structures and we also investigate the effect of isogeometric analysis parameters to the optimum topology.
이상진(Lee, Sang-Jin),배정은(Bae, Jungeun) 대한건축학회 2018 大韓建築學會論文集 : 構造系 Vol.34 No.6
Isogeometric concept is introduced to find out the optimum layout of plane structure under free vibration. Eigenvalue problem is formulated and numerically solved in order to obtain natural frequencies and mode shapes of plane structures. For the exact geometric expression of the structure, the Non-Uniform Rational B-spline Surface (NURBS) basis functions is employed and it is also used to define the material density functions. A node-wise design variables is adopted to deal with the updating of material density in topology optimization (TO). The definition of modal strain energy is employed to achieve the maximization of fundamental frequency through its minimization. The verification of the proposed TO technique is performed by a series of benchmark test for plane structures.