
Linear and Nonlinear Instabilities in Mechanical Systems
Analysis, Control and Application
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Linear and Nonlinear Instabilities in Mechanical Systems
Analysis, Control and Application
About this book
An in-depth insight into nonlinear analysis and control
As mechanical systems become lighter, faster, and more flexible, various nonlinear instability phenomena can occur in practical systems.
The fundamental knowledge of nonlinear analysis and control is essential to engineers for analysing and controlling nonlinear instability phenomena. This book bridges the gap between the mathematical expressions of nonlinear dynamics and the corresponding practical phenomena. Linear and Nonlinear Instabilities in Mechanical Systems: Analysis, Control and Application provides a detailed and informed insight into the fundamental methods for analysis and control for nonlinear instabilities from the practical point of view.
Key features:
Linear and Nonlinear Instabilities in Mechanical Systems is an essential textbook for students on engineering courses, and can also be used for self-study or reference by engineers.
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Information
Table of contents
- Cover
- Table of Contents
- Title Page
- Copyright
- Dedication
- Preface
- About the Companion Website
- 1: Equilibrium States and Their Stability
- 2: Linear Dynamical Systems
- 3: Dynamic Instability of TwoâDegreeâofâFreedomâSystems
- 4: Modal Analysis of Systems Subject to Conservative and Circulatory Forces
- 5: Static Instability and Practical Examples
- 6: Dynamic Instability and Practical Examples
- 7: Local Bifurcations
- 8: Reduction Methods of Nonlinear Dynamical Systems
- 9: Method of Multiple Scales
- 10: Nonlinear Characteristics of Dynamic Instability
- 11: Parametric Resonance and Pitchfork Bifurcation
- 12: Stabilization of Inverted Pendulum Under HighâFrequency Excitation
- 13: SelfâExcited Resonator in Atomic Force Microscopy (Utilization of Dynamic Instability)
- 14: HighâSensitive Mass Sensing by Eigenmode Shift
- 15: Motion Control of Underactuated Manipulator Without State Feedback Control
- 16: Experimental Observations
- A: Cubic Nonlinear Characteristics
- B: Nondimensionalization and Scaling Nonlinearity
- C: Occurrence Prediction for Some Types of Resonances
- D: Order Estimation of Responses
- E: Free Oscillation of SpringâMass System Under Coulomb Friction and Its Dead Zone
- F: Projection by Adjoint Vector
- G: Solvability Condition
- H: Effect of Contact Force on the Dynamics of Railway Vehicle Wheelset
- Index
- End User License Agreement