Viscoelastic behavior of Naghdi shell model based on efficient higher-order zig-zag theory

2017 ◽  
Vol 164 ◽  
pp. 304-315 ◽  
Author(s):  
Sy-Ngoc Nguyen ◽  
Jaehun Lee ◽  
Maenghyo Cho
Keyword(s):  
Shell Model ◽  
Viscoelastic Behavior ◽  
Higher Order ◽  
Model Based ◽  
Naghdi Shell

scholarly journals Lattice Dynamics of Simple Harmonic and Anharmonic Shell Models

1967 ◽  
Vol 20 (5) ◽  
pp. 495 ◽  
Author(s):  
J Oitmaa
Keyword(s):  
Dipole Moment ◽  
Shell Model ◽  
Lattice Dynamics ◽  
Higher Order ◽  
Force Constants ◽  
Dynamical Equations ◽  
Normal Coordinates ◽  
Shell Models ◽  
Rigid Ion Model ◽  
Explicit Expressions

The lattice dynamics of harmonic and anharmonic shell models are reviewed. It is shown that the various dynamical equations for the shell model can be expressed in the same form as those for the rigid ion model, but with modified force constants. The anharmonic shell model leads to higher order contributions to the dipole moment, quadratic and cubic in the normal coordinates, for which explicit expressions are obtained.

SHELL MODEL BASED REACTION RATES FOR rp-PROCESS NUCLEI IN THE MASS RANGE A=44–63

2001 ◽  
Vol 79 (2) ◽  
pp. 241-292 ◽  
Author(s):  
J.L. FISKER ◽  
V. BARNARD ◽  
J. GÖRRES ◽  
K. LANGANKE ◽  
G. MARTÍNEZ-PINEDO ◽  
...  
Keyword(s):  
Shell Model ◽  
Mass Range ◽  
Reaction Rates ◽  
Model Based ◽  
Rp Process

Efficient Model-based Fuzz Testing Using Higher-order Attribute Grammars

2013 ◽  
Vol 8 (3) ◽  
Author(s):  
Fan Pan ◽  
Ying Hou ◽  
Zheng Hong ◽  
Lifa Wu ◽  
Haiguang Lai
Keyword(s):  
Higher Order ◽  
Attribute Grammars ◽  
Model Based ◽  
Fuzz Testing

scholarly journals A new element for analyzing large deformation of thin Naghdi shell model. Part 1: Elastic

2010 ◽  
Vol 34 (12) ◽  
pp. 4267-4277 ◽  
Author(s):  
Aazam Ghassemi ◽  
Alireza Shahidi ◽  
Mahmoud Farzin
Keyword(s):  
Shell Model ◽  
Large Deformation ◽  
Naghdi Shell

NEIMARK BIFURCATIONS OF A GENERALIZED DUFFING–VAN DER POL OSCILLATOR WITH NONLINEAR FRACTIONAL ORDER DAMPING

2013 ◽  
Vol 23 (11) ◽  
pp. 1350177 ◽  
Author(s):  
A. Y. T. LEUNG ◽  
H. X. YANG ◽  
P. ZHU
Keyword(s):  
Fractional Order ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Viscoelastic Behavior ◽  
Higher Order ◽  
Balance Method ◽  
Van Der Pol Oscillator ◽  
Homotopy Continuation ◽  
Van Der Pol ◽  
Steady State Responses

A generalized Duffing–van der Pol oscillator with nonlinear fractional order damping is introduced and investigated by the residue harmonic homotopy. The cubic displacement involved in fractional operator is used to describe the higher-order viscoelastic behavior of materials and of aerodynamic damping. The residue harmonic balance method is employed to analytically generate higher-order approximations for the steady state responses of an autonomous system. Nonlinear dynamic behaviors of the harmonically forced oscillator are further explored by the harmonic balance method along with the polynomial homotopy continuation technique. A parametric investigation is carried out to analyze the effects of fractional order of damping and the effect of the magnitude of imposed excitation on the system using amplitude-frequency curves. Jump avoidance conditions are addressed. Neimark bifurcations are captured to delineate regions of instability. The existence of even harmonics in the Fourier expansions implies symmetry-breaking bifurcation in certain combinations of system parameters. Numerical simulations are given by comparing with analytical solutions for validation purpose. We find that all Neimark bifurcation points in the response diagram always exist along a straight line.

scholarly journals A new element for analyzing large deformation of thin Naghdi shell model. Part II: Plastic

2011 ◽  
Vol 35 (6) ◽  
pp. 2650-2668 ◽  
Author(s):  
Aazam Ghassemi ◽  
Alireza Shahidi ◽  
Mahmoud Farzin
Keyword(s):  
Shell Model ◽  
Large Deformation ◽  
Naghdi Shell
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