scholarly journals Symmetric and asymmetric solitons supported by a 𝒫𝒯-symmetric potential with saturable nonlinearity: bifurcation, stability and dynamics

2018 ◽  
Vol 26 (6) ◽  
pp. 6949 ◽  
Author(s):  
Pengfei Li ◽  
Chaoqing Dai ◽  
Rujiang Li ◽  
Yaqin Gao
Keyword(s):  
Symmetric Potential ◽  
Bifurcation Stability ◽  
Saturable Nonlinearity

Identification of the string boundary conditions using natural frequencies

2016 ◽  
Vol 11 (1) ◽  
pp. 38-52
Author(s):  
I.M. Utyashev ◽  
A.M. Akhtyamov
Keyword(s):  
Inverse Problems ◽  
Power Series ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Natural Frequencies ◽  
Boundary Value ◽  
External Environment ◽  
Direct And Inverse Problems ◽  
Symmetric Potential ◽  
Modified Method

The paper discusses direct and inverse problems of oscillations of the string taking into account symmetrical characteristics of the external environment. In particular, we propose a modified method of finding natural frequencies using power series, and also the problem of identification of the boundary conditions type and parameters for the boundary value problem describing the vibrations of a string is solved. It is shown that to identify the form and parameters of the boundary conditions the two natural frequencies is enough in the case of a symmetric potential q(x). The estimation of the convergence of the proposed methods is done.

scholarly journals An Application of Hankel Transforms in Axially Symmetric Potential Flow

1956 ◽  
Vol 9 (3) ◽  
pp. 128-131
Author(s):  
A. G. Mackie
Keyword(s):  
New York ◽  
Incompressible Fluid ◽  
Circular Hole ◽  
Potential Flow ◽  
Fourier Transforms ◽  
The Other ◽  
Axially Symmetric ◽  
Symmetric Potential ◽  
Physical Interest ◽  
Hankel Transforms

In his book on Hydrodynamics, Lamb obtained a solution for the potential flow of an incompressible fluid through a circular hole in a plane wall. More recently Sneddon (Fourier Transforms, New York, 1951) obtained Lamb's solution by an elegant application of Hankel transforms.Since the streamlines in this solution are symmetric about the wall, it is not of particular physical interest. In this note, Sneddon's method is used to give a solution in which the fluid is infinite in extent on one side of the aperture but issues as a jet of finite diameter on the other side.

Plate Stability Verifications of Aluminium Plate Girders

2016 ◽  
Vol 710 ◽  
pp. 363-368
Author(s):  
László Gergely Vigh ◽  
Dib Abdelkarim
Keyword(s):  
Nonlinear Static Analysis ◽  
Web Crippling ◽  
Plate Girders ◽  
Bifurcation Stability ◽  
Plate Buckling ◽  
Wide Range ◽  
Plate Stability ◽  
Actual Material ◽  
Nonlinear Static ◽  
Overall Buckling

The paper focuses on overall and local web plate buckling of longitudinally multi-stiffened aluminium plate girders subjected to compression, bending, shear and transverse loading. The authors completed wide-range bifurcation stability analysis by energy method. Based on the results of the completed parametric study, buckling coefficients are formulated, taking also into account the possible interaction of local and overall buckling. Modifications are proposed for the standard Eurocode calculations of critical loads. Modification in resistance calculation for web crippling is also proposed to take the beneficial effect of curved flange-to-web connection into account. Numerical model is developed for nonlinear static analysis. Virtual experimenting – considering actual material behaviour and imperfections – is invoked for the calibration of the model.

Discrete cavity solitons due to saturable nonlinearity

2008 ◽  
Vol 78 (1) ◽  
Author(s):  
A. V. Yulin ◽  
A. R. Champneys ◽  
D. V. Skryabin
Keyword(s):  
Saturable Nonlinearity

Photovoltaic saturable nonlinearity in 2D in photorefractive crystals

2000 ◽  
Vol 180 (1-3) ◽  
pp. 147-151 ◽  
Author(s):  
Ru Guo ◽  
Zhenfang Ling ◽  
Simin Liu ◽  
Jingjun Xu ◽  
Xingzheng Zhang ◽  
...  
Keyword(s):  
Photorefractive Crystals ◽  
Saturable Nonlinearity
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