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Journals / ACADEMIC PLATFORM-JOURNAL OF ENGINEERING AND SCIENCE / 2018 / Cilt: 6 - Sayı: 1

Vibration of Initially Stressed Nonlocal Euler-Bernoulli Nano-Beams

Çiğdem DİNÇKAL
Pages
127–141
DOI
—
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AI Summary & Key Takeaways

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

The results supply a better declaration for vibration analysis of nano-beams which are short and stubby with initial stress.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is pertinent to the analytical solutions for vibration analysis of initially stressed Nonlocal Euler-Bernoulli nano-beams.
📊
Key Findings & Data:In order to take into account of small length scale effect, this vibration problem formulation is depending upon both nonlocal Euler-Bernoulli and also Eringen’s nonlocal elasticity theory.
💡
Conclusion & Impact:The results supply a better declaration for vibration analysis of nano-beams which are short and stubby with initial stress.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

This paper is pertinent to the analytical solutions for vibration analysis of initially stressed Nonlocal Euler-Bernoulli nano-beams. In order to take into account of small length scale effect, this vibration problem formulation is depending upon both nonlocal Euler-Bernoulli and also Eringen’s nonlocal elasticity theory. The boundary conditions and governing equation are obtained by use of Hamiltonian’s principle. These equations are solved analytically with different initial stresses (both compressive and tensile) and boundary conditions. The effect of small length scale and the initial stress on the fundamental frequency are investigated. The solutions obtained are compared with the ones depending upon both classical Euler-Bernoulli and Timoshenko beam theory to comprehend the responses of nano-beams under the effect of initial stress and small scale in terms of frequencies for both theories. The results supply a better declaration for vibration analysis of nano-beams which are short and stubby with initial stress.

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Cite This Article

DİNÇKAL, Ç. (2018). Vibration of Initially Stressed Nonlocal Euler-Bernoulli Nano-Beams. ACADEMIC PLATFORM-JOURNAL OF ENGINEERING AND SCIENCE, Cilt: 6 - Sayı: 1, 127–141. https://ajindex.com/articles/141972

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