Journals / Mathematical and Computational Applications / 1996 / Cilt: 1 - Sayı: 1

Free vibrations of rotating adhesively bonded orthotropic plates

Pages
140–146
DOI
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⚡ TL;DR(Too Long; Didn't Read)

The governing non-linear equations of motion and the appropriate boundary conditions are derived by means of the variational method in conjunction with Hamilton's Principle.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, free vibration analysis of rotating adhesively bonded specially orthotropic plates is investigated.
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Key Findings & Data:A first-order shear-deformation plate theory including geometric nonlinearities in the form of the von Karman strains and the effects of rotatory inertia and Coriolis is used to predict the free vibration frequencies and mode shapes of the system under consideration.
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Conclusion & Impact:The governing non-linear equations of motion and the appropriate boundary conditions are derived by means of the variational method in conjunction with Hamilton's Principle.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, free vibration analysis of rotating adhesively bonded specially orthotropic plates is investigated. A first-order shear-deformation plate theory including geometric nonlinearities in the form of the von Karman strains and the effects of rotatory inertia and Coriolis is used to predict the free vibration frequencies and mode shapes of the system under consideration. In the analytical model, the thin interlaminar adhesive layer is taken into account in the form of mechanical springs. The governing non-linear equations of motion and the appropriate boundary conditions are derived by means of the variational method in conjunction with Hamilton's Principle.

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Cite This Article

YAVUZ, A. K., KOTİL, T. (1996). Free vibrations of rotating adhesively bonded orthotropic plates. Mathematical and Computational Applications, Cilt: 1 - Sayı: 1, 140–146. https://ajindex.com/articles/280271

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References (1)

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