scholarly journals ANALYTICAL SOLUTION OF THE PROBLEM OF SMALL FORCED OSCILLATIONS OF THE IDEAL FLUID

2017 ◽  
pp. 70-81
Author(s):  
Aleksandr Vladimirovich MERZLYAKOV ◽  
◽  
Zarina Olegovna MATYEVA ◽  
Keyword(s):  
Analytical Solution ◽  
Ideal Fluid ◽  
Forced Oscillations ◽  
The Ideal

scholarly journals An Analytical Solution of the Ideal-Fluid Thermocline*

2001 ◽  
Vol 31 (8) ◽  
pp. 2441-2457 ◽  
Author(s):  
Rui Xin Huang
Keyword(s):  
Analytical Solution ◽  
Ideal Fluid ◽  
The Ideal

scholarly journals Hamiltonian description of the ideal fluid

1994 ◽  
Author(s):  
P.J. Morrison
Keyword(s):  
Ideal Fluid ◽  
Hamiltonian Description ◽  
The Ideal

scholarly journals Application of hybrid asymptotic methods and modern software for mathematical models developing for nonlinear dynamics of structures with variables in time parameters

2021 ◽  
pp. 66-70
Author(s):  
S. Homeniuk ◽  
S. Grebenyuk ◽  
D. Gristchak
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Methods ◽  
Nonlinear Systems ◽  
Analytical Solution ◽  
Mathematical Models ◽  
Nonlinear Dynamic ◽  
Numerical Solutions ◽  
Hybrid Approach ◽  
Time Dependent ◽  
Forced Oscillations

The relevance. The aerospace domain requires studies of mathematical models of nonlinear dynamic structures with time-varying parameters. The aim of the work. To obtain an approximate analytical solution of nonlinear forced oscillations of the designed models with time-dependent parameters. The research methods. A hybrid approach based on perturbation methods, phase integrals, Galorkin orthogonalization criterion is used to obtain solutions. Results. Nonlocal investigation of nonlinear systems behavior is done using results of analytical and numerical methods and developed software. Despite the existence of sufficiently powerful numerical software systems, qualitative analysis of nonlinear systems with variable parameters requires improved mathematical models based on effective analytical, including approximate, solutions, which using numerical methods allow to provide a reliable analysis of the studied structures at the stage designing. An approximate solution in analytical form is obtained with constant coefficients that depend on the initial conditions. Conclusions. The approximate analytical results and direct numerical solutions of the basic equation were compared which showed a sufficient correlation of the obtained analytical solution. The proposed algorithm and program for visualization of a nonlinear dynamic process could be implemented in nonlinear dynamics problems of systems with time-dependent parameters.

scholarly journals Hamiltonian description of the ideal fluid

1998 ◽  
Vol 70 (2) ◽  
pp. 467-521 ◽  
Author(s):  
P. J. Morrison
Keyword(s):  
Ideal Fluid ◽  
Hamiltonian Description ◽  
The Ideal

Analytical solution for the ideal model of chromatography in the case of a Langmuir isotherm

1988 ◽  
Vol 60 (21) ◽  
pp. 2364-2374 ◽  
Author(s):  
Sadroddin. Golshan-Shirazi ◽  
Georges. Guiochon
Keyword(s):  
Analytical Solution ◽  
Langmuir Isotherm ◽  
Ideal Model ◽  
The Ideal

scholarly journals Interaction between particles and bubbles driven by ultrasound: Acoustic radiation force on an elastic particle immersed in the ideal fluid near a bubble

2020 ◽  
Vol 67 ◽  
pp. 105166 ◽  
Author(s):  
Kangyi Feng ◽  
Chenghui Wang ◽  
Runyang Mo ◽  
Jing Hu ◽  
Sai Li
Keyword(s):  
Ideal Fluid ◽  
Acoustic Radiation ◽  
Radiation Force ◽  
Acoustic Radiation Force ◽  
Elastic Particle ◽  
The Ideal

An analytical solution for benchmark problem 1: The ‘‘ideal’’ wedge

1990 ◽  
Vol 87 (4) ◽  
pp. 1511-1513 ◽  
Author(s):  
Michael J. Buckingham ◽  
Alexandra Tolstoy
Keyword(s):  
Analytical Solution ◽  
Benchmark Problem ◽  
The Ideal

Analytical Solution of the Ideal Model of Chromatography for a Bi-Langmuir Adsorption Isotherm

2013 ◽  
Vol 85 (18) ◽  
pp. 8552-8558 ◽  
Author(s):  
Fabrice Gritti ◽  
Georges Guiochon
Keyword(s):  
Adsorption Isotherm ◽  
Analytical Solution ◽  
Langmuir Adsorption Isotherm ◽  
Ideal Model ◽  
Langmuir Adsorption ◽  
The Ideal
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