Mechanical Vibrations Theory

• The Study of Vibrations
  • The Study of Vibrations
  • Classification of Vibration
  • Vibration Analysis Procedure
  • Generalized Coordinates
  • Classification of Vibrations
  • Springs
  • Viscous Dampers
  • Undamped Free Vibrational System
  • Energy Method
  • Undamped Forced Vibration
  • Electric Circuit Analogs
• Free vibration of single-degree-of-freedom-systems
  • Introduction
  • Free-Body-Diagram
  • Free vibration of an Undamped Translational System
  • Free vibrations of one-degree-of-freedom systems with viscous damping
  • Coulomb damping
  • Sub Item
• Harmonically Excited Vibration
  • Harmonic excitation of One-Degree-of-Freedom Systems
  • Response of an Un-damped System under Harmonic Force
  • Response of a Damped System Under Harmonic Force
  • Sub Item
• Vibration Under General Forcing Conditions
• Two-Degree-of-Freedom Systems
• Multidegree-of-Freedom Systems
• Determination of Natural Frequencies and Mode Shapes
• Continuous Systems
• Vibration Control
• Vibration Measurement and Applications
  • Introduction - UnderConstruction
• Numerical Integration Methods in Vibrations Analysis
  • Introduction to Numerical Integration Methods
  • Finite Difference Method
  • Central difference method for SDOF systems
  • Runge-Kutta Method for SDOF Systems
• Finite Element Method
  • Introduction - UnderConstruction
• Nonlinear Vibrations
  • Introduction - UnderConstruction