Vibration analysis of nanorings using nonlocal continuum mechanics and shear deformable ring theory

2011 ◽  
Vol 44 (1) ◽  
pp. 135-140 ◽  
Author(s):  
H. Moosavi ◽  
M. Mohammadi ◽  
A. Farajpour ◽  
S.H. Shahidi
Keyword(s):  
Continuum Mechanics ◽  
Vibration Analysis ◽  
Ring Theory ◽  
Nonlocal Continuum ◽  
Shear Deformable

scholarly journals Thermal effects on the stability of circular graphene sheets via nonlocal continuum mechanics

2014 ◽  
Vol 11 (4) ◽  
pp. 704-724 ◽  
Author(s):  
Saeid Reza Asemi ◽  
Ali Farajpour ◽  
Mehdi Borghei ◽  
Amir Hessam Hassani
Keyword(s):  
Continuum Mechanics ◽  
Thermal Effects ◽  
Graphene Sheets ◽  
Nonlocal Continuum ◽  
The Stability

Structural and Continuum Mechanics Approaches for a 3D Shear Deformable ANCF Beam Finite Element: Application to Buckling and Nonlinear Dynamic Examples

2013 ◽  
Vol 9 (1) ◽  
Author(s):  
Karin Nachbagauer ◽  
Johannes Gerstmayr
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Continuum Mechanics ◽  
Degrees Of Freedom ◽  
Mass Matrix ◽  
Finite Element Software ◽  
High Order Convergence ◽  
Dynamics Problems ◽  
Transverse Slope ◽  
Shear Deformable

For the modeling of large deformations in multibody dynamics problems, the absolute nodal coordinate formulation (ANCF) is advantageous since in general, the ANCF leads to a constant mass matrix. The proposed ANCF beam finite elements in this approach use the transverse slope vectors for the parameterization of the orientation of the cross section and do not employ an axial nodal slope vector. The geometric description, the degrees of freedom, and a continuum-mechanics-based and a structural-mechanics-based formulation for the elastic forces of the beam finite elements, as well as their usage in several static problems, have been presented in a previous work. A comparison to results provided in the literature to analytical solution and to the solution found by commercial finite element software shows accuracy and high order convergence in statics. The main subject of the present paper is to show the usability of the beam finite elements in dynamic and buckling applications.

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