Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficien...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2021, 2021
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| Edition: | 1st ed. 2021 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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 Modified Second 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