Static Analysis of Composite Beams Using Collocation Technique by Considering Linear and Nonlinear Partial Interactions
Publication: Journal of Engineering Mechanics
Volume 146, Issue 2
Abstract
This work presents a collocation method for study of the static behavior of composite beams with consideration of linear and nonlinear partial interactions. The collocation concept is first introduced; the internal global trial functions for the displacement field are then assumed in terms of Fourier series expansion representations. In order to obtain the unknown coefficients, several collocation points, distributed uniformly along the span of a composite beam, are adopted to set up the systems of equations by satisfying governing equations and boundary conditions. Both single- and multispan composite beams are investigated and validated against other analytical and numerical methods, where good agreement is always obtained. The efficiency of the collocation technique is then tested with different numbers of collocation points or harmonic terms to generate converged results. The collocation technique is also applied to the nonlinear analysis of partial-interaction composite beams. The theoretical distinctions between the present technique and other methods are finally explained.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the author by request (Collocation Analysis Program for the Composite Beam.m).
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant No. 51608211), the Provincial Natural Science Foundation of Fujian Province (Grant No. 2017J05083), the Fundamental Research Funds for the Central Universities (Grant No. ZQN-711), and the Scientific Research Funds of Huaqiao University (Grant No. 16BS403).
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Feb 12, 2019
Accepted: Jun 5, 2019
Published online: Dec 5, 2019
Published in print: Feb 1, 2020
Discussion open until: May 5, 2020
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