Investigation of the deformation and the stability of geometrically nonlinear beams

1992 ◽  
Vol 62 (6) ◽  
pp. 394-403
Author(s):  
M. Drawshi ◽  
J. Betten
Keyword(s):  
Geometrically Nonlinear ◽  
Nonlinear Beams ◽  
The Stability

Stability and Vibrations of Geometrically Nonlinear Cylindrically Orthotropic Circular Plates

1984 ◽  
Vol 51 (2) ◽  
pp. 354-360 ◽  
Author(s):  
D. Shilkrut
Keyword(s):  
Stability Analysis ◽  
Qualitative Methods ◽  
Dynamic Method ◽  
Numerical Results ◽  
Geometrically Nonlinear ◽  
Circular Plates ◽  
Different Types ◽  
The Stability ◽  
Thermal Influence ◽  
Cylindrically Orthotropic

The stability analysis of axisymmetrical equilibrium states of geometrically nonlinear, orthotropic, circular plates that are deformed by multiparameter loading, including thermal influence, is presented. The dynamic method (method of small vibrations) is used to accomplish this purpose. The behavior of the plate in different cases is revealed. In particular, it is shown that two different types of snapping processes can occur. The values of frequencies of small eigenvibrations from various cases have been calculated. These investigations are realized by numerical and qualitative methods. Here only the numerical results are presented.

A Nonlinear Approach to the Stability Analysis of Space Beam Structures

1989 ◽  
Vol 4 (4) ◽  
pp. 193-217 ◽  
Author(s):  
C. Borri ◽  
S. Chiostrini
Keyword(s):  
Beam Element ◽  
Incremental Algorithm ◽  
Geometrically Nonlinear ◽  
Nonlinear Formulation ◽  
Perturbative Approach ◽  
Nonlinear Approach ◽  
Spatial Beam ◽  
Post Buckling ◽  
Implementation Aspects ◽  
The Stability

In the context of a nonlinear stability theory of elastic structures, the geometrically nonlinear formulation of a spatial beam element (recently introduced by several authors) is reviewed for application to a perturbative approach of the post-buckling analysis of space beam grids or frames. The implementation aspects of the procedure in an iterative-incremental algorithm are discussed, and the performances of several implemented iteration strategies are brought out, with the aim of improving the usual known ones. The adopted strategy to detect and trace post-buckling equilibrium paths is then discussed. Finally, some numerical examples are used to demonstrate the characteristics and capabilities of the analytical model.

Generalized Kelvin–Voigt Damping for Geometrically Nonlinear Beams

AIAA Journal ◽  
2021 ◽  
Vol 59 (1) ◽  
pp. 356-365
Author(s):  
Marc Artola ◽  
Andrew Wynn ◽  
Rafael Palacios
Keyword(s):  
Geometrically Nonlinear ◽  
Nonlinear Beams

scholarly journals Meshless analysis of geometrically nonlinear beams

2008 ◽  
Vol 96 ◽  
pp. 012005
Author(s):  
J M Xia ◽  
D M Wei ◽  
R H Jin
Keyword(s):  
Geometrically Nonlinear ◽  
Nonlinear Beams
Sign in / Sign up

Export Citation Format

Share Document