NURBS-based collocation methods for the structural analysis of shells of revolution

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Abstract

In this work we present a collocation method for the structural analysis of shells of revolution based on Non-Uniform Rational B-Spline (NURBS) interpolation. The method is based on the strong formulation of the equilibrium equations according to Reissner-Mindlin theory, with Fourier series expansion of dependent variables, which makes the problem 1D. Several numerical tests validate convergence, accuracy, and robustness of the proposed methodology, and its feasibility as a tool for the analysis and design of complex shell structures.

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Bellis, M. L. D., & Artioli, E. (2016). NURBS-based collocation methods for the structural analysis of shells of revolution. Metals, 6(3). https://doi.org/10.3390/met6030068

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