Download This PaperDynamic stability of a three-layer beam – Generalization of the sandwich structures theory
8 Pages Posted: 16 Jun 2021 Last revised: 20 Jul 2021
Date Written: June 16, 2021
Abstract
The work is devoted to the mathematical modeling of a three-layer beam. A generalization of the "broken-line" hypothesis describing the displacement field is proposed and used to analyze the problem of dynamic stability. Based on Hamilton's principle, equations of motion are obtained. Then this system of two differential equations is approximately solved. In this way, the fundamental natural frequency and two unstable regions are obtained.
Suggested Citation: Suggested Citation
Magnucki, Krzysztof and Magnucka-Blandzi, Ewa, Dynamic stability of a three-layer beam – Generalization of the sandwich structures theory (June 16, 2021). Proceedings of the 8th International Conference on Coupled Instabilities in Metal Structures (CIMS 2021), Available at SSRN: https://ssrn.com/abstract=3868174 or http://dx.doi.org/10.2139/ssrn.3868174
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