FREE VIBRATION ANALYSIS OF SINGLY CURVED CLAMPED SHELLS USING THE ISOGEOMETRIC FINITE STRIP METHOD
DOI:
https://doi.org/10.7251/STP2215112BAbstract
A hybrid method for the spatial discretization of two-dimensional domains is recently derived and applied to the problem of free vibrations of simply-supported singly curved shells. This new method follows from a tensor product of NURBS functions and a carefully selected series that satisfies boundary conditions a priori. The formulation unifies spatial discretization schemes of the semi-analytical Finite strip method and the Isogeometric analysis. In this paper, the method is improved by implementing the capability to deal with clamped-clamped boundary conditions. The numerical analysis shows that the method has favorable accuracy per DOF, in comparison with the standard finite elements.
References
Y. Cheung and L. Tham, The finite strip method, CRC Press, 1997.
D. D. Milašinović, The Finite Strip Method in Computational Mechanics, Faculties of
Civil Engineering: University of Novi Sad, Technical University of Budapest and
University of Belgrade: Subotica, Budapest, Belgrade, 1997.
G. Radenković, Finite rotation and finite strain isogeometric structural analysis (in
Serbian), Belgrade: Faculty of Architecture, 2017.
A. Borković, G. Radenković, D. Majstorović, S. Milovanović, D. Milašinović and R. Cvijić, “Free vibration analysis of singly curved shells using the isogeometric finite strip method,” Thin-Walled Structures, vol. 157, p. 107125, 2020.
M. A. Bradford and M. Azhari, “Buckling of plates with different end conditions using the finite strip method,” Computers & Structures, vol. 56, no. 1, pp. 75–83, 1995.
A. Borković, S. Kovačević, D. D. Milašinović, G. Radenković, O. Mijatović and V. Golubović-Bugarski, “Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method,” Thin-Walled Structures, vol. 117, pp. 63–88, 2017.
M. Bischoff, K. Bletzinger, W. Wall and E. Ramm, “Models and Finite Elements for Thin‐Walled Structures,” Encyclopedia of Computational Mechanics, 2004.
J. Kiendl, M.-C. Hsu, M. C. H. Wu and A. Reali, “Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials,” Computer Methods in Applied Mechanics and Engineering, vol. 291, pp. 280–303, 2015.
Abaqus Documentation. Dassault Systèmes, 2014.
