Finite Element Modeling for Vibration of Initially Stressed Nonlocal Euler-Bernoulli Beams

Çiğdem DİNÇKAL

Makale detayları

Finite Element Modeling for Vibration of Initially Stressed Nonlocal Euler-Bernoulli Beams

Yazarlar:

Çiğdem DİNÇKAL

Yayıncı:

Celal Bayar University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Celal Bayar University Journal of Science 2016 Vol.12 Issue 3, pp.399-411

Belge Tipi:

Makale

Yayın Tarihi:

12/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000706711

Sıklık:

Üç Aylık

eISSN:

1305-1385

pISSN:

1305-130X

Özet:

 


This paper is concerned with a precise finite element model for vibration analysis of initially stressed micro/nano beams based on nonlocal Euler-Bernoulli and Eringen’s nonlocal elasticity theory. For this purpose analytical solutions for the exact dynamic shape functions has been derived by also use of Hamiltonian’s principle for the governing equations. The solution is applicable to various initial stresses such as tensile and compressive and scaling effect. The exact dynamic shape functions have been constructed to obtain analytic expressions for the exact dynamic element stiffness matrix components. Numerical results are displayed to indicate the effects of initial stresses and scaling effect parameters on the vibration characteristics of initially stressed clamped nonlocal Euler-Bernoulli beams. For the first time in literature, this study presents such an element formulation that it provides adequate and accurate representation of the vibration behavior of initially stressed micro/nano beams based on nonlocal Euler-Bernoulli beam theory.


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Makale detayları

Finite Element Modeling for Vibration of Initially Stressed Nonlocal Euler-Bernoulli Beams

Yazarlar: Çiğdem DİNÇKAL

Yayıncı: Celal Bayar University

Ana Başlıklar: Uygulamalı fizik

Dergi: Celal Bayar University Journal of Science 2016 Vol.12 Issue 3, pp.399-411

Belge Tipi: Makale

Yayın Tarihi: 12/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000706711

Sıklık: Üç Aylık

eISSN: 1305-1385

pISSN: 1305-130X

Sayı

Yazarlar:

Çiğdem DİNÇKAL

Yayıncı:

Celal Bayar University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Celal Bayar University Journal of Science 2016 Vol.12 Issue 3, pp.399-411

Belge Tipi:

Makale

Yayın Tarihi:

12/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000706711

Sıklık:

Üç Aylık

eISSN:

1305-1385

pISSN:

1305-130X