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

scholarly journals Strain-Based Analysis for Geometrically Nonlinear Beams: A Modal Approach

2014 ◽  
Vol 51 (3) ◽  
pp. 890-903 ◽  
Author(s):  
Weihua Su ◽  
Carlos E. S. Cesnik
Keyword(s):  
Geometrically Nonlinear ◽  
Modal Approach ◽  
Nonlinear Beams

Large-Amplitude Oscillations of Geometrically Nonlinear Elastic Beams Subjected to Hydrodynamic Excitation

1991 ◽  
Vol 113 (2) ◽  
pp. 92-104 ◽  
Author(s):  
R. Bruschi ◽  
L. Vitali
Keyword(s):  
Dynamic Response ◽  
Large Amplitude ◽  
Numerical Solutions ◽  
Numerical Models ◽  
Mathematical Formulation ◽  
Geometrically Nonlinear ◽  
Nonlinear Beams ◽  
Lock In ◽  
Nonlinear Elastic ◽  
Lateral Deflections

The dynamic response of slender pipes to cyclic flexural excitations could be significantly influenced by the “membrane” stiffness of a beam axially restrained at the ends, where the magnitude of the exciting force is such as to induce large lateral deflections. This typical nonlinearity of structural mechanics is generally approached adopting semi-analytical procedures for simple configurations, and more often using numerical solutions as well as finite element techniques for more realistic configurations. This paper deals with: the mathematical formulation of large-amplitude oscillations of geometrically nonlinear beams; and numerical models for nonlinear response of beams under harmonic and random excitations. Two applications are reported: analysis of the effect of the initially deflected shape on dynamic response under regular vortex shedding; analysis of the dynamic stiffening due to axial restraint on lock-in range.

Static Geometrically Nonlinear Aeroelastic Framework for Multi-Fidelity Analysis

2020 ◽  
Vol 68 (4) ◽  
pp. 142-147
Author(s):  
Natsuki Tsushima ◽  
Masato Tamayama ◽  
Tomohiro Yokozeki
Keyword(s):  
Geometrically Nonlinear
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