Variational Principles and Explicit Finite-Element Formulations for the Dynamic Analysis of Partial-Interaction Composite Beams
Publication: Journal of Engineering Mechanics
Volume 146, Issue 6
Abstract
In this paper, we conduct a systematic dynamic investigation of partial-interaction composite beams under various sophisticated loading conditions that have seldom been presented in the literature. For the purpose of easy implementation of the present theory and the convenience of interested readers, we utilize the dynamic variational principles under the same framework of the (extended) Hamilton’s principle to develop finite-element (FE) formulations for the dynamic responses of composite beams with Timoshenko’s beam theory. The forced vibrations of composite beams are focused with a transverse point load, a moving mass, or a moving mass-spring-damper system, respectively, some of which are important in the consideration of the vehicle–bridge (structure) interaction. The explicit expressions of the local FE expressions are also given in the appendixes. The developed dynamic FE theoretical framework is validated against numerical results in the literature with excellent agreement. We believe that the present work provides a solid theoretical foundation for the future research of vehicle/load–composite beam interactions that have seldom been studied.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The first author gratefully acknowledges the support by the National Natural Science Foundation of China (No. 51608211), the National Natural Science Foundation of Fujian Province (No. 2017J05083), the Fundamental Research Funds for the Central Universities (No. ZQN-711), and the Scientific Research Funds of Huaqiao University (No. 16BS403). The third author gratefully acknowledges the support by the National Natural Science Foundation of China (No. 51478422).
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 6 • June 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Jul 17, 2019
Accepted: Jan 14, 2020
Published online: Apr 13, 2020
Published in print: Jun 1, 2020
Discussion open until: Sep 13, 2020
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