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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2017 / Cilt: 35 - Sayı: 2

RITZ SOLUTION OF BUCKLING AND VIBRATION PROBLEM OF NANOPLATES EMBEDDED IN AN ELASTIC MEDIUM

Mohsen BASTAMİ
Bashir BEHJAT
Pages
285–302
Publication Date
2017-06-01
DOI
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AI Summary & Key Takeaways

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

The effects of different parameters on the plate behavior, such as nonlocal parameter, aspect ratio, boundary conditions, Winkler and shear modulus are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, free vibration and buckling of single-layered isotropic rectangular nanoplate is investigated based on classic plate theory (CPT).
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Key Findings & Data:Nonlocal elasticity theory accounts for the small-nonlocal effects.
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Conclusion & Impact:The effects of different parameters on the plate behavior, such as nonlocal parameter, aspect ratio, boundary conditions, Winkler and shear modulus are investigated.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Buckling and vibration analysis · ritz method · nonlocal effects

Abstract

In this paper, free vibration and buckling of single-layered isotropic rectangular nanoplate is investigated based on classic plate theory (CPT). Nonlocal elasticity theory accounts for the small-nonlocal effects. Both Winkler-type and Pasternak-type foundation models are employed to simulate the surrounding elastic matrix. Governing differential weak form equations of the plate based on nonlocal elasticity theory are derived. The Ritz method is used to solve the problem of buckling and free vibration nanoplate for various boundary conditions. In order to confirm the accuracy of the results, data are compared with the other results published in literature. The effects of different parameters on the plate behavior, such as nonlocal parameter, aspect ratio, boundary conditions, Winkler and shear modulus are investigated.

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Cite This Article

BASTAMİ, M., BEHJAT, B. (2017). RITZ SOLUTION OF BUCKLING AND VIBRATION PROBLEM OF NANOPLATES EMBEDDED IN AN ELASTIC MEDIUM. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 35 - Sayı: 2, 285–302. https://ajindex.com/articles/418981

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