Experiment-Based Assessment of NLBeam for Modeling Geometrically Nonlinear Dynamic Deformations

2013 ◽  
pp. 47-64
Author(s):  
Lisa Dangora ◽  
Julie Harvie ◽  
Katie Wichman ◽  
D. J. Luscher
Keyword(s):  
Nonlinear Dynamic ◽  
Geometrically Nonlinear

Master Formula for Geometrically Nonlinear Dynamic Instability of Shear Flexible Beams

AIAA Journal ◽  
2013 ◽  
Vol 51 (1) ◽  
pp. 257-262
Author(s):  
B. Subba Ratnam ◽  
G. Venkateswara Rao ◽  
G. Ranga Janardhana
Keyword(s):  
Nonlinear Dynamic ◽  
Dynamic Instability ◽  
Geometrically Nonlinear ◽  
Flexible Beams

Geometrically nonlinear dynamic model for a hexagonal lattice

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
A. V. Porubov ◽  
A. M. Krivtsov ◽  
I. D. Antonov ◽  
W. H. Müller ◽  
A. A. Sokolov
Keyword(s):  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Hexagonal Lattice ◽  
Geometrically Nonlinear ◽  
Nonlinear Dynamic Model

Geometrically nonlinear dynamic analysis of functionally graded porous partially fluid-filled cylindrical shells subjected to exponential loads

2020 ◽  
pp. 107754632098246
Author(s):  
Majid Khayat ◽  
Abdolhossein Baghlani ◽  
Seyed Mehdi Dehghan ◽  
Mohammad Amir Najafgholipour
Keyword(s):  
Material Properties ◽  
Nonlinear Dynamic ◽  
Numerical Study ◽  
Equations Of Motion ◽  
Cylindrical Shells ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Geometrically Nonlinear ◽  
Graphene Platelet ◽  
Graphene Platelets

This article investigates the influence of graphene platelet reinforcements and nonlinear elastic foundations on geometrically nonlinear dynamic response of a partially fluid-filled functionally graded porous cylindrical shell under exponential loading. Material properties are assumed to be varied continuously in the thickness in terms of porosity and graphene platelet reinforcement. In this study, three different distributions for porosity and three different dispersions for graphene platelets have been considered in the direction of the shell thickness. The Halpin–Tsai equations are used to find the effective material properties of the graphene platelet–reinforced materials. The equations of motion are derived based on the higher-order shear deformation theory and Sanders’s theory. Displacements and rotations of the shell middle surface are approximated by combining polynomial functions in the meridian direction and truncated Fourier series with an appropriate number of harmonic terms in the circumferential direction. An incremental–iterative approach is used to solve the nonlinear equations of motion of partially fluid-filled cylindrical shells based on the Newmark direct integration and Newton–Raphson methods. The governing equations of liquid motion are derived using a finite strip formulation of incompressible inviscid potential flow. The effects of various parameters on dynamic responses are investigated. A detailed numerical study is carried out to bring out the effects of some influential parameters, such as fluid depth, porosity distribution, and graphene platelet dispersion parameters on nonlinear dynamic behavior of functionally graded porous nanocomposite partially fluid-filled cylindrical shells reinforced with graphene platelets.

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