NSTT and Shooting Method for Periodic Motions

2010 ◽  
pp. 275-294 ◽  
Author(s):  
Valery N. Pilipchuk
Keyword(s):  
Shooting Method ◽  
Periodic Motions

scholarly journals Nonlinear Dynamics of a Blade Rotor with Coupled Rubbing of Labyrinth Seal and Tip Seal

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Huabiao Zhang ◽  
Xinye Li ◽  
Dongai Wang ◽  
Tingting Liu
Keyword(s):  
Shooting Method ◽  
Rotation Velocity ◽  
Labyrinth Seal ◽  
Dynamic Equations ◽  
Almost Periodic ◽  
Contact Deformation ◽  
Periodic Motions ◽  
Bifurcation Diagrams ◽  
Hertz Contact ◽  
Chaotic Motions

The dynamic response and its stability of a blade rotor with coupled rubbing in the labyrinth seal and tip seal are investigated. The dynamic equations are established based on the Hertz contact rubbing force at the labyrinth seal and the tip rubbing force considering both the contact deformation of the tip seal and the bending deformation of the blade. Numerical simulations show that the coupled rubbing response includes periodic motions, almost periodic motions, and chaotic motions. Compared with the single rubbing fault, coupled rubbing increases the range of rotation velocity of contact. A new continuation shooting method is used in the solution and stability analysis of the periodic response to give the bifurcation diagrams. The paths of the system for entering and exiting chaos are analyzed.

Analysis of the Remote Heat Shooting Method for Geoecological Monitoring of Khankala Geothermal Deposit

2018 ◽  
Vol 12 (4) ◽  
pp. 103-109
Author(s):  
Arbi A. Shaipov ◽  
◽  
Elina V. El'sunkaeva ◽  
Timur B. Ezirbaev ◽  
Tamila Kh. Ozdieva ◽  
...  
Keyword(s):  
Shooting Method

Investigation of the stability of periodic motions in a nonlinear automatic control system based on the fast fourier transform

2003 ◽  
Vol 3 ◽  
pp. 297-307
Author(s):  
V.V. Denisov
Keyword(s):  
Fourier Transform ◽  
Control System ◽  
Automatic Control ◽  
Fast Fourier Transform ◽  
Automatic Control System ◽  
Resonance Phenomenon ◽  
Periodic Motions ◽  
Multiply Connected ◽  
Non Linear ◽  
The Stability

An approach to the study of the stability of non-linear multiply connected systems of automatic control by means of a fast Fourier transform and the resonance phenomenon is considered.

scholarly journals On excessive Transverse Coordinates for Orbital Stabilization of Periodic Motions

2020 ◽  
Vol 53 (2) ◽  
pp. 9250-9255
Author(s):  
Christian Fredrik Sætre ◽  
Anton Shiriaev
Keyword(s):  
Periodic Motions ◽  
Orbital Stabilization

On the Analysis of Hopf Bifurcation Associated with a Two-Fold Zero Eigenvalue, Part 1: Autonomous System

1999 ◽  
Vol 121 (1) ◽  
pp. 101-104 ◽  
Author(s):  
M. Moh’d ◽  
K. Huseyin
Keyword(s):  
Hopf Bifurcation ◽  
Limit Cycles ◽  
Autonomous System ◽  
Periodic Motions ◽  
Zero Eigenvalue ◽  
The Family ◽  
Dynamic Bifurcations ◽  
Formula Type

The static and dynamic bifurcations of an autonomous system associated with a twofold zero eigenvalue (of index one) are studied. Attention is focused on Hopf bifurcation solutions in the neighborhood of such a singularity. The family of limit cycles are analyzed fully by applying the formula type results of the Intrinsic Harmonic Balancing method. Thus, parameter-amplitude and amplitude-frequency relationships as well as an ordered form of approximations for the periodic motions are obtained explicitly. A verification technique, with the aid of MAPLE, is used to show the consistency of ordered approximations.

LSTM-based approach for predicting periodic motions of an impacting system via transient dynamics

2021 ◽  
Author(s):  
Kenneth Omokhagbo Afebu ◽  
Yang Liu ◽  
Evangelos Papatheou ◽  
Bingyong Guo
Keyword(s):  
Transient Dynamics ◽  
Periodic Motions

scholarly journals Mathematical analysis of bio-convective micropolar nanofluid

2019 ◽  
Vol 6 (3) ◽  
pp. 233-242 ◽  
Author(s):  
Sohail Nadeem ◽  
Muhammad Naveed Khan ◽  
Noor Muhammad ◽  
Shafiq Ahmad
Keyword(s):  
Differential Equations ◽  
Microbial Fuel Cells ◽  
Shooting Method ◽  
Stretching Sheet ◽  
Volume Fraction ◽  
Three Dimensional ◽  
Convection Flow ◽  
Micropolar Nanofluid ◽  
Exponentially Stretching ◽  
Micro Organisms

Abstract The present investigation concentrates on three dimensional unsteady forced bio-convection flow of a viscous fluid. An incompressible flow of a micropolar nanofluid encloses micro-organisms past an exponentially stretching sheet with magnetic field is analyzed. By employing convenient transformation the partial differential equations are converted into the ordinary differential equations which are non-linear. By using shooting method to solved these equations numerically. The influence of the determining parameters on the velocity, temperature, micro-rotation, nanoparticle volume fraction, microorganism are incorporated. The skin friction, heat transfer rate, and the microorganism rate are analyzed. The results depicts that the value of the wall shear stress and Nusselt number are declined while an enhancement take place in the microorganism number. The slip parameters increases the velocity, thermal energy, and microorganism number consequentially. The present investigation are important in improving achievement of microbial fuel cells.

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