Linear Buckling Analysis of Compressed Members combining the Generalised Beam Theory and the Finite Element Method

2009 ◽  
Author(s):  
M. Casafont ◽  
M.M. Pastor ◽  
E. Caamaño ◽  
F. Marimon
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Theory ◽  
Buckling Analysis ◽  
The Finite Element Method ◽  
Linear Buckling ◽  
Generalised Beam Theory ◽  
Linear Buckling Analysis ◽  
Element Method

In-Plane Free Vibration of Curved Beams Using Finite Element Method

2007 ◽  
Author(s):  
F. Yang ◽  
R. Sedaghati ◽  
E. Esmailzadeh
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Equations Of Motion ◽  
Beam Theory ◽  
Central Line ◽  
Circular Ring ◽  
Curved Beam ◽  
The Finite Element Method ◽  
Curved Beams ◽  
Element Method

Curved beam-type structures have many applications in engineering area. Due to the initial curvature of the central line, it is complicated to develop and solve the equations of motion by taking into account the extensibility of the curve axis and the influences of the shear deformation and the rotary inertia. In this study the finite element method is utilized to study the curved beam with arbitrary geometry. The curved beam is modeled using the Timoshenko beam theory and the circular ring model. The governing equation of motion is derived using the Extended-Hamilton principle and numerically solved by the finite element method. A parametric sensitive study for the natural frequencies has been performed and compared with those reported in the literature in order to demonstrate the accuracy of the analysis.

scholarly journals Buckling analysis of graphene nanosheets by the finite element method

2018 ◽  
Vol 157 ◽  
pp. 06002
Author(s):  
Jozef Bocko ◽  
Pavol Lengvarský
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Graphene Nanosheets ◽  
Buckling Analysis ◽  
Single Layer Graphene ◽  
Graphene Sheets ◽  
The Finite Element Method ◽  
Structural Element ◽  
Beam Elements ◽  
Element Method

The paper is devoted to the problems related to buckling analysis of graphene sheets without and with vacancies in the structure under different boundary conditions. The analysis was performed by the classical numerical treatment – the finite element method (FEM). The graphene sheets were modelled by beam elements. Interatomic relations between carbon atoms in the structure were represented by the beams connecting individual atoms. The behaviour of the beam as structural element was based on the properties that were established from relations of molecular mechanics. The vacancies in single layer graphene sheets (SLGSs) were created by elimination of randomly chosen atoms and corresponding beam elements connected to the atoms in question. The computations were accomplished for different percentage of atom vacancies and the results represent an obvious fact that the critical buckling force decreases for increased percentage of vacancies in the structure. The numerical results are represented in form of graphs.

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