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A Note on Local Refinement for Direction Splitting Methods Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Isogeometric Analysis for Nonlinear Dynamics of Timoshenko Beams

Authors : Stanislav Stoykov, Clemens Hofreither, Svetozar Margenov

Published in: Numerical Methods and Applications

Publisher: Springer International Publishing

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Abstract

The dynamics of beams that undergo large displacements is analyzed in frequency domain and comparisons between models derived by isogeometric analysis and \(p\)-FEM are presented. The equation of motion is derived by the principle of virtual work, assuming Timoshenko’s theory for bending and geometrical type of nonlinearity.
As a result, a nonlinear system of second order ordinary differential equations is obtained. Periodic responses are of interest and the harmonic balance method is applied. The nonlinear algebraic system is solved by an arc-length continuation method in frequency domain.
It is shown that IGA gives better approximations of the nonlinear frequency-response functions than the \(p\)-FEM when models with the same number of degrees of freedom are used.

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Metadata
Title
Isogeometric Analysis for Nonlinear Dynamics of Timoshenko Beams
Authors
Stanislav Stoykov
Clemens Hofreither
Svetozar Margenov
Copyright Year
2015
Book
Numerical Methods and Applications

Print ISBN: 978-3-319-15584-5

Electronic ISBN: 978-3-319-15585-2

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-15585-2_16

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