Analytical and Numerical Analyses for a Variety of Submerged Hemi-Ellipsoidal Shells
Publication: Journal of Engineering Mechanics
Volume 146, Issue 7
Abstract
This paper concerned an analytical method to obtain exact solutions for displacements of submerged hemi-ellipsoidal shells. Based on the linear membrane theory, the membrane forces and strain components were defined in terms of the radius of a parallel circle. General solutions for normal and tangential displacements were established, which could be written in the simplest form when considered at the apex and equatorial points. To investigate the accuracy of the results, a finite-element modeling technique was used to verify the analytical solutions. The fundamentals of differential geometry and the principle of virtual work were used to develop the stiffness matrix for nonlinear finite-element procedures. This led to the numerical results for validation of the analytical solutions. The effect of shape ratios, thickness, and seawater depth on the forces and displacements of submerged hemi-ellipsoidal shells were also presented in this study.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The authors would like to express their sincere gratitude to the Petchra Prajomklao Scholarship, King Mongkut’s University of Technology Thonburi (KMUTT), and the Faculty of Engineering and Architecture, Rajamangala University of Technology Isan, for techincal and financial assistance.
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 7 • July 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Sep 11, 2019
Accepted: Jan 22, 2020
Published online: Apr 27, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 27, 2020
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