Eigenmodes Solution and Analysis of Combined Structures Using Improved Coupling Energies
Publication: Journal of Engineering Mechanics
Volume 149, Issue 5
Abstract
In this paper, improved coupling energies are developed for the vibration analysis of combined structures having coordinate systems in different directions. The in-plane and transverse vibration displacements for the combined structures are expanded as improved Fourier series to ensure the continuity and smoothness of the series representation in the solution domain. The energy principle is adopted to solve the eigenmodes of various combined structures, including the open box coupled structure and enclosed box-type coupled structure. The eigenmodes of the enclosed box-type structure, three-plate coupled structure, and four-plate coupled structure are compared with ones obtained from FEM, and good agreement is observed. The validations of the eigenmodes for the combined structures connected at an arbitrary included angle are analyzed in numerical analysis. The influence of the modal characteristics of the open box structures composed of five plates are studied for different boundary conditions.
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Data Availability Statement
All data, models, or source code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (Nos. 51705071, 51822902, and 51475088), the Natural Science Foundation of Jilin Province of China (Grant Nos. 20190103058JH, 20190201109JC, and 20140101065JC), and the Research Foundation of Education Department of Jilin Province, China (No. JJKH20220104KJ).
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Published In
Journal of Engineering Mechanics
Volume 149 • Issue 5 • May 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Apr 14, 2022
Accepted: Dec 14, 2022
Published online: Feb 21, 2023
Published in print: May 1, 2023
Discussion open until: Jul 21, 2023
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