A displacement-free formulation for the Timoshenko beam problem and a corresponding isogeometric collocation approach

A displacement-free formulation for the Timoshenko beam problem and a corresponding isogeometric... We present a reformulation of the classical Timoshenko beam problem, resulting in a single differential equation with the rotation as the only primal variable. We show that this formulation is equivalent to the standard formulation and the same types of boundary conditions apply. Moreover, we develop an isogeometric collocation scheme to solve the problem numerically. The formulation is completely locking-free and involves only half the degrees of freedom compared to a standard formulation. Numerical tests are presented to confirm the performance of the proposed approach. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Meccanica Springer Journals

A displacement-free formulation for the Timoshenko beam problem and a corresponding isogeometric collocation approach

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer Science+Business Media B.V.
Subject
Physics; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering
ISSN
0025-6455
eISSN
1572-9648
D.O.I.
10.1007/s11012-017-0745-7
Publisher site
See Article on Publisher Site

Abstract

We present a reformulation of the classical Timoshenko beam problem, resulting in a single differential equation with the rotation as the only primal variable. We show that this formulation is equivalent to the standard formulation and the same types of boundary conditions apply. Moreover, we develop an isogeometric collocation scheme to solve the problem numerically. The formulation is completely locking-free and involves only half the degrees of freedom compared to a standard formulation. Numerical tests are presented to confirm the performance of the proposed approach.

Journal

MeccanicaSpringer Journals

Published: Aug 24, 2017

References

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