A multi-spring model for buckling analysis of cracked Timoshenko nanobeams based on modified couple stress theory

• Autorzy: Akbarzadeh Khorshidi M. , Shariati M.

Identyfikatory

DOI

10.15632/jtam-pl.55.4.1127

• Języki publikacji: EN

Abstrakty

EN

This paper develops a cracked nanobeam model and presents buckling analysis of this developed model based on a modified couple stress theory. The Timoshenko beam theory and simply supported boundary conditions are considered. This nonclassical model contains a material length scale parameter and can interpret the size effect. The cracked nanobeam is modeled as two segments connected by two equivalent springs (longitudinal and rotational). This model promotes discontinuity in rotation of the beam and additionally considers discontinuity in longitudinal displacement due to presence of the crack. Therefore, this multi-spring model can consider coupled effects between the axial force and bending moment at the cracked section. The generalized differential quadrature (GDQ) method is employed to discretize the governing differential equations, boundary and continuity conditions. The influences of crack location, crack severity, material length scale parameter and flexibility constants of the presented spring model on the critical buckling load are studied.

Słowa kluczowe

EN

buckling; crack; modified couple stress theory; Timoshenko nanobeam; spring model

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2017
• Tom: Vol. 55 nr 4
• Strony: 1127--1139
• Opis fizyczny: Bibliogr. 40 poz., rys., tab.

Twórcy

autor

Akbarzadeh Khorshidi M.

• Ferdowsi University of Mashhad, Department of Mechanical Engineering, Mashhad, Iran

autor

Shariati M.

• Ferdowsi University of Mashhad, Department of Mechanical Engineering, Mashhad, Iran

Bibliografia

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