Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
portes grátis
Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
Herisanu, Nicolae; Marinca, Bogdan; Marinca, Vasile
Springer Nature Switzerland AG
07/2022
479
Mole
Inglês
9783030756550
15 a 20 dias
753
Descrição não disponível.
Introduction.- The Optimal Auxiliary Functions Method.- Dynamics of an Angular Misaligned Multirotor System.- Oscillations of a Pendulum Wrapping on Two Cylinders.- Free Oscillations of Euler-Bernoulli Beams on Nonlinear Winkler-Pasternak Foundation.- Nonlinear Vibrations of Doubly Clamped Nanobeam Incorporating the Casimir Force.- Transversal Oscillations of a Beam with Quintic Nonlinearities.- Approximate Analytical Solutions to Jerk Equations.- Vibration of Nonlinear Nonlocal Elastic Column with Initial Imperfection.- Nonlinear Vibration of Bernoulli-Euler Beam on a Winkler Elastic Foundation.- The Nonlinear Thermomechanical Vibration of a Functionally Graded Beam(FGB) on Winkler-Pasternak Foundation.- Nonlinear Free Vibration of Microtubes.- Nonlinear Free Vibration of Elastically Actuated Microtubes.- Analytical Investigation to Duffing Harmonic Oscillator.- Free Vibration of Tapered Beams.- Dynamic Analysis of a Rotating Electrical Machine Rotor-bearing System.- Investigation of a Permanent Magnet Synchronous Generator.- Dynamic Response of a Permanent Magnet Synchronous Generator to a Wind Gust.- Axisymmetric Flow and Heat Transfer on a Moving Cylinder.- Blasius Problem.- Numerical Examples.- Thin Film Flow of a Fourth Grade Fluid Down a Vertical Cylinder.- Axisymmetric MHD Flow and Heat Transfer to ModifiedSecond Grade Fluid.- Thin Film Flow of an Eyring Powel Fluid on a Vertical Moving Belt.- The steady Flow of a Fourth Grade Fluid in a Porous Medium.- Thin Film Flow of an Oldroyd Six-constant Fluid Over a Moving Belt.- Cylindrical Liouville-Bratu-Gelfand Problem.- The Polytrophic Spheres of the Nonlinear Lane - Emden - Type Equation Arising in Astrophysics.- The Second Alternative to Optimal Auxiliary Functions Method.- Piecewise Optimal Auxiliary Functions Method.- Some Exact Solutions for Nonlinear Dynamical Systems by Means of the Optimal Auxiliary Functions Method.
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Optimal Auxiliary Functions Method;Blasius Problem;Fluid Mechanics;Thermodynamics;Nonlinear Oscillations;Boundary Layer;Convergence-control Parameters;Paul Richard Heinrich Blasius
Introduction.- The Optimal Auxiliary Functions Method.- Dynamics of an Angular Misaligned Multirotor System.- Oscillations of a Pendulum Wrapping on Two Cylinders.- Free Oscillations of Euler-Bernoulli Beams on Nonlinear Winkler-Pasternak Foundation.- Nonlinear Vibrations of Doubly Clamped Nanobeam Incorporating the Casimir Force.- Transversal Oscillations of a Beam with Quintic Nonlinearities.- Approximate Analytical Solutions to Jerk Equations.- Vibration of Nonlinear Nonlocal Elastic Column with Initial Imperfection.- Nonlinear Vibration of Bernoulli-Euler Beam on a Winkler Elastic Foundation.- The Nonlinear Thermomechanical Vibration of a Functionally Graded Beam(FGB) on Winkler-Pasternak Foundation.- Nonlinear Free Vibration of Microtubes.- Nonlinear Free Vibration of Elastically Actuated Microtubes.- Analytical Investigation to Duffing Harmonic Oscillator.- Free Vibration of Tapered Beams.- Dynamic Analysis of a Rotating Electrical Machine Rotor-bearing System.- Investigation of a Permanent Magnet Synchronous Generator.- Dynamic Response of a Permanent Magnet Synchronous Generator to a Wind Gust.- Axisymmetric Flow and Heat Transfer on a Moving Cylinder.- Blasius Problem.- Numerical Examples.- Thin Film Flow of a Fourth Grade Fluid Down a Vertical Cylinder.- Axisymmetric MHD Flow and Heat Transfer to ModifiedSecond Grade Fluid.- Thin Film Flow of an Eyring Powel Fluid on a Vertical Moving Belt.- The steady Flow of a Fourth Grade Fluid in a Porous Medium.- Thin Film Flow of an Oldroyd Six-constant Fluid Over a Moving Belt.- Cylindrical Liouville-Bratu-Gelfand Problem.- The Polytrophic Spheres of the Nonlinear Lane - Emden - Type Equation Arising in Astrophysics.- The Second Alternative to Optimal Auxiliary Functions Method.- Piecewise Optimal Auxiliary Functions Method.- Some Exact Solutions for Nonlinear Dynamical Systems by Means of the Optimal Auxiliary Functions Method.
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