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Free Vibration Analysis of Thin-Shell Structures Using Finite Element Based on Isogeometric Approach
Abstract Isogeometric analysis (IGA) can represent the exact geometry of complicated shell structures as opposed to the classic finite element method (FEM). After reviewing some fundamentals of IGA advantages, free vibration analysis is made to several Kirchhoff–Love shell structures and the convergence rate of the natural frequencies is investigated by using higher-order NURBS through a k-refinement strategy. Numerical locking is avoided by the use of higher-order NURBS. Dynamic analysis is performed and compared with the FEM solutions to demonstrate the efficiency of isogeometric analysis; meanwhile, some deficiencies of Kiendl shell formulation, like changing thickness, are investigated, and for elimination of defect, the general framework of Naghdi’s shell theory is suggested; moreover, the bending strip method that is a linear constraint is not appropriate for all shell problems.
Free Vibration Analysis of Thin-Shell Structures Using Finite Element Based on Isogeometric Approach
Abstract Isogeometric analysis (IGA) can represent the exact geometry of complicated shell structures as opposed to the classic finite element method (FEM). After reviewing some fundamentals of IGA advantages, free vibration analysis is made to several Kirchhoff–Love shell structures and the convergence rate of the natural frequencies is investigated by using higher-order NURBS through a k-refinement strategy. Numerical locking is avoided by the use of higher-order NURBS. Dynamic analysis is performed and compared with the FEM solutions to demonstrate the efficiency of isogeometric analysis; meanwhile, some deficiencies of Kiendl shell formulation, like changing thickness, are investigated, and for elimination of defect, the general framework of Naghdi’s shell theory is suggested; moreover, the bending strip method that is a linear constraint is not appropriate for all shell problems.
Free Vibration Analysis of Thin-Shell Structures Using Finite Element Based on Isogeometric Approach
Atri, H. R. (author) / Shojaee, S. (author)
2016-04-18
12 pages
Article (Journal)
Electronic Resource
English
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