This note explains the following topics: Modeling, Linearization,
Free Undamped Vibration, Measurement and Design Consideration, Forced Undamped
Vibration, Force Damped Vibration, Free Undamped Vibration, Response to Free
Undamped Vibration, Design for Vibration Suppression or Absorbers, Vibration
Testing.
Author(s): Dr Nopdanai Ajavakom and Dr Chanat
Ratanasumawong
This note explains the physics of waves and oscillations including sound, elastic and electromagnetic waves. Topics covered includes the theory of simple harmonic oscillators, transverse modes of a continuous string, and physical optics including interference, Fresnel and Fraunhofer diffraction, and resolution, to diffraction of Xrays and electrons by crystals.
The aim of this textbook is to develop a unified mathematical theory of oscillations and waves. Examples are drawn from the physics of discrete mechanical systems continuous gases, fluids, and elastic solids electronic circuits electromagnetic waves optical systems and, finally, quantum mechanical systems.