Slope Deflection Method in Nonlocal Axially Functionally Graded Tapered Beams

Erol Demirkan, Murat Çelik*, Reha Artan

*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkıMakalebilirkişi

2 Atıf (Scopus)

Özet

In this study, the slope deflection method was presented for structures made of small-scaled axially functionally graded beams with a variable cross section within the scope of nonlocal elasticity theory. The small-scale effect between individual atoms cannot be neglected when the structures are small in size. Therefore, the theory of nonlocal elasticity is used throughout. The stiffness coefficients and fixed-end moments are calculated using the method of initial values. With this method, the solution of the differential equation system is reduced to the solution of the linear equation system. The given transfer matrix is unique and the problem can be easily solved for any end condition and loading. In this problem, double integrals occur in terms of the transfer matrix. However, this form is not suitable for numerical calculations. With the help of Cauchy’s repeated integration formula, the transfer matrix is given in terms of single integrals. The analytical or numerical calculation of single integrals is easier than the numerical or analytical calculation of double integrals. It is demonstrated that the nonlocal effect plays an important role in the fixed-end moments of small-scaled beams.

Orijinal dilİngilizce
Makale numarası4814
DergiApplied Sciences (Switzerland)
Hacim13
Basın numarası8
DOI'lar
Yayın durumuYayınlandı - Nis 2023

Bibliyografik not

Publisher Copyright:
© 2023 by the authors.

Finansman

This research is supported by the Alexander von Humboldt Foundation.

FinansörlerFinansör numarası
Alexander von Humboldt-Stiftung

    Parmak izi

    Slope Deflection Method in Nonlocal Axially Functionally Graded Tapered Beams' araştırma başlıklarına git. Birlikte benzersiz bir parmak izi oluştururlar.

    Alıntı Yap