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Journals / Challenge Journal of Structural Mechanics / 2019 / Cilt: 5 - Sayı: 1

Dynamic instability of castellated beams subjected to transverse periodic loading

Sahar Sahib ELAİWİ
Boksun KİM
Long-yuan Lİ
Pages
9–18
DOI
—
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AI Summary & Key Takeaways

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

In ad-dition, the influences of the flange width of the castellated beam and the static part of the applied load on the variation of dynamic instability zones are discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, an analytical solution is developed for the investigation of free vibra-tion, static buckling and dynamic instability of castellated beams subjected to trans-verse periodic loading.
📊
Key Findings & Data:Bolotin’s method is used to perform the dynamic instability analysis.
💡
Conclusion & Impact:In ad-dition, the influences of the flange width of the castellated beam and the static part of the applied load on the variation of dynamic instability zones are discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this study, an analytical solution is developed for the investigation of free vibra-tion, static buckling and dynamic instability of castellated beams subjected to trans-verse periodic loading. Bolotin’s method is used to perform the dynamic instability analysis. By assuming the instability modes, the mass, stiffness, and geometric stiff-ness matrices are derived using the kinetic energy, strain energy and potential of ap-plied loads. Analytical equations for determining the free vibration frequency, critical buckling moment, and excitation frequency of castellated beams are derived. In ad-dition, the influences of the flange width of the castellated beam and the static part of the applied load on the variation of dynamic instability zones are discussed.

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Cite This Article

ELAİWİ, S. S., KİM, B., Lİ, L. (2019). Dynamic instability of castellated beams subjected to transverse periodic loading. Challenge Journal of Structural Mechanics, Cilt: 5 - Sayı: 1, 9–18. https://ajindex.com/articles/143295

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