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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 74 Issue: 1

Forced vibrations of a thin viscoelastic shell immersed in fluid under the effect of damping

Hazel Yücel(BASKENT UNIVERSITY)0000-0001-8769-9173
Pages
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Publication Date
2025-03-08
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is demonstrated that the effect of the structural damping is remarkably greater than that of the radiation damping and the latter can be neglected in the vast majority of the problems.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The plane strain problem for low-frequency forced vibrations of a fluid-loaded thin viscoelastic shell is considered.
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Key Findings & Data:A small structural damping is incorporated using the concept of a complex Young’s modulus.
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Conclusion & Impact:It is demonstrated that the effect of the structural damping is remarkably greater than that of the radiation damping and the latter can be neglected in the vast majority of the problems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Asymptotics · thin shell · complex Young’s modulus

Abstract

The plane strain problem for low-frequency forced vibrations of a fluid-loaded thin viscoelastic shell is considered. A small structural damping is incorporated using the concept of a complex Young’s modulus. The two-term asymptotic expansion is derived assuming that the structural damping is of the same order as the small thickness of the shell. It is demonstrated that the effect of the structural damping is remarkably greater than that of the radiation damping and the latter can be neglected in the vast majority of the problems.

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Cite This Article

Yücel, H. (2025). Forced vibrations of a thin viscoelastic shell immersed in fluid under the effect of damping. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 1. https://doi.org/10.31801/cfsuasmas.1592998

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