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Nonlinear Oscillations in Mechanical Engineering 1st Edition by Alexander Fidlin ISBN 9783540281160 3540281169

Name: Nonlinear Oscillations in Mechanical Engineering 1st Edition by Alexander Fidlin ISBN 9783540281160 3540281169
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Authors:Alexander Fidlin , Series:Mechanical engineering [149] , Tags:Mechanical Engineering , Author sort:Fidlin, Alexander , Languages:Languages:eng , Publisher:Springer , Comments:Comments:Summary:”Nonlinear Oscillations in Mechanical Engineering explores the effects of nonlinearities encountered in applications in that field. Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry friction and collisions. Another important source of nonlinearity which is covered is that caused by rotating unbalanced parts common in various machines as well as variable inertias occurring in all kinds of crank mechanisms. This book is written for advanced undergraduate and postgraduate students, but it may be also helpful and interesting for both theoreticians and practitioners working in the area of mechanical engineering at universities, in research labs or institutes and especially in the R & D departments within industrial firms.”–JacketShow less

SKU: EB-18854 Category: eBook PDF Tags: Alexander Fidlin, Mechanical Engineering, Nonlinear Oscillations

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ISBN 10: 3540281169
ISBN 13: 9783540281160
Author: Alexander Fidlin

“Nonlinear Oscillations in Mechanical Engineering” explores the effects of nonlinearities encountered in applications in that field. Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry friction and collisions. Another important source of nonlinearity which is covered is that caused by rotating unbalanced parts common in various machines as well as variable inertias occurring in all kinds of crank mechanisms. This book is written for advanced undergraduate and postgraduate students, but it may be also helpful and interesting for both theoreticians and practitioners working in the area of mechanical engineering at universities, in research labs or institutes and especially in the R and D departments within industrial firms.

Nonlinear Oscillations in Mechanical Engineering 1st Edition Table of contents:

Part I: Fundamentals of Nonlinear Oscillations

Introduction to Nonlinear Dynamics
- Linear vs. Nonlinear Systems
- Historical Background and Applications
- Overview of Nonlinear Oscillation Theory
- Importance in Mechanical Systems
Mathematical Foundations for Nonlinear Oscillations
- Nonlinear Differential Equations
- Phase Plane and Poincaré Maps
- Stability Analysis: Lyapunov’s Direct Method
- Perturbation Methods for Nonlinear Systems
Basic Nonlinear Oscillator Models
- Duffing Oscillator
- Van der Pol Oscillator
- Pendulum and Rotating Systems
- Nonlinear Spring and Damping Elements

Part II: Analytical Methods for Nonlinear Oscillations

Exact Analytical Solutions
- Exact Solutions for Nonlinear Oscillators
- Integrability Conditions and Methods
- Analytical Techniques for Simple Nonlinear Systems
- Application to Engineering Problems
Perturbation Methods in Nonlinear Dynamics
- Regular Perturbation and Asymptotic Expansions
- Multiple Scales and Singular Perturbations
- Averaging Methods and Van der Pol’s Approach
- Application of Perturbation Techniques in Mechanical Systems
Nonlinear Normal Modes and Resonance
- Concept of Normal Modes in Nonlinear Systems
- Resonance Phenomena in Nonlinear Oscillators
- Interaction Between Linear and Nonlinear Modes
- Application to Mechanical Vibrations and Coupled Systems

Part III: Numerical Methods for Nonlinear Oscillations

Numerical Simulation of Nonlinear Oscillations
- Time Integration Methods for Nonlinear Systems
- Euler’s Method, Runge-Kutta Methods
- Stability and Convergence of Numerical Schemes
- Applications to Large-Scale Nonlinear Systems
Nonlinear System Stability Analysis
- Lyapunov Stability in Nonlinear Systems
- Bifurcation Theory and Catastrophe Theory
- Numerical Techniques for Stability and Bifurcation Analysis
- Hopf Bifurcation and Limit Cycles
Chaos and Nonlinear Dynamics
- Chaotic Behavior in Nonlinear Systems
- Poincaré Sections and Strange Attractors
- Bifurcation Diagrams and Routes to Chaos
- Control of Chaos in Engineering Systems

Part IV: Applications of Nonlinear Oscillations in Mechanical Engineering

Nonlinear Oscillations in Mechanical Vibrations
- Vibrations of Nonlinear Mechanical Systems
- Nonlinear Vibration Isolation and Damping
- Forced and Self-Excited Vibrations in Mechanical Components
- Nonlinearities in Rotating Machinery and Gears
Nonlinear Dynamics in Structural Mechanics
- Nonlinear Behavior of Beams and Plates
- Large Deflection and Buckling in Structures
- Nonlinear Seismic Response of Structures
- Structural Control Using Nonlinear Feedback
Nonlinear Oscillations in Control Systems
- Nonlinear Control Strategies and Stability
- Phase-Locked Loops and Oscillatory Control Systems
- Nonlinear Feedback and Adaptive Control Systems
- Application to Robotics and Mechatronics
Applications in Energy Harvesting and MEMS
- Nonlinear Oscillators for Energy Harvesting Systems
- Micromechanical Systems (MEMS) with Nonlinear Behavior
- Vibrational Energy Harvesting from Low-Frequency Sources
- Design Considerations for Nonlinear MEMS Oscillators

Part V: Advanced Topics in Nonlinear Oscillations

Nonlinear Oscillations in Soft Matter and Complex Systems
- Soft Materials and Nonlinear Oscillations
- Complex Fluids and Biological Systems
- Nonlinear Oscillations in Biological Networks
- Applications to Biomechanics and Biorobotics
Nonlinear Phenomena in Smart Materials and Systems
- Smart Materials with Nonlinear Characteristics
- Piezoelectric and Magnetostrictive Nonlinear Oscillators
- Nonlinearities in Active and Adaptive Systems
- Applications to Structural Health Monitoring
Multiscale and Multiphysics Approaches in Nonlinear Dynamics
- Coupling Between Mechanical, Thermal, and Fluid Systems
- Multiscale Modeling of Nonlinear Oscillations
- Simulation of Nonlinear Behavior in Complex Mechanical Systems
- Application in Aerospace and Automotive Industries

Part VI: Case Studies and Practical Applications

Case Studies in Nonlinear Vibrations and Shock Analysis
- Engineering Case Studies of Nonlinear Oscillation Problems
- Vibration and Shock-Induced Failures in Mechanical Systems
- Lessons from Nonlinear Analysis in Engineering Practice
- Design Guidelines for Nonlinear Dynamic Systems
Design and Optimization of Nonlinear Oscillatory Systems
- Optimizing Performance of Nonlinear Oscillators
- Nonlinear System Design for Vibration Suppression
- Case Studies in Nonlinear System Design and Optimization
- Applications in Automotive and Aerospace Engineering

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