Closed-Form Solution for Secondary Perturbation Displacement in Finite-Element-Implemented Koiter’s Theory

Yan, Jiayi; Li, Shuguang

Abstract

The finite-element-implemented Koiter’s initial postbuckling analysis has not managed to convince commercial finite element code developers to incorporate it into their codes to benefit structural designers and analysts. Three key obstacles have been identified. With two of them being resolved recently, the present paper addressed the remaining one, namely, the efficient solution of the second-order perturbation equation. A closed-form solution is obtained, which is more computationally efficient than any approach adopted in the past. The closed-form solution is obtained mathematically rigorously, and in the meantime it is computational efficient. The approach applies also to problems where buckling is of multiple modes. The solution procedure established in this paper has been verified and demonstrated through a structural application.

Citation

Yan, J., & Li, S. (2020). Closed-Form Solution for Secondary Perturbation Displacement in Finite-Element-Implemented Koiter’s Theory. AIAA Journal, 58(4), 1-12. https://doi.org/10.2514/1.j058941

• Journal Article Type: Article
• Acceptance Date: Dec 8, 2019
• Online Publication Date: Jan 21, 2020
• Publication Date: 2020-04
• Deposit Date: Mar 10, 2020
• Publicly Available Date: Mar 10, 2020
• Journal: AIAA Journal
• Print ISSN: 0001-1452
• Electronic ISSN: 1533-385X
• Publisher: American Institute of Aeronautics and Astronautics
• Peer Reviewed: Peer Reviewed
• Volume: 58
• Issue: 4
• Pages: 1-12
• DOI: https://doi.org/10.2514/1.j058941
• Keywords: Aerospace Engineering
• Public URL: https://nottingham-repository.worktribe.com/output/4121796
• Publisher URL: https://arc.aiaa.org/doi/full/10.2514/1.J058941
• Additional Information: Copyright © 2019 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.