Dynamic Force and Motion (310)

Laws of Motion • Weight, Mass and Gravity • Specific Weight • Relative Density or Specific Gravity • Principles of Analysis • Fundamentals of Dynamics • Stiffness • Mass • A Simple Dynamic System • Degrees of Freedom • Single-Degree-of-Freedom (SDoF) • Undamped Vibrations –  Single Degree of Freedom Systems • Basic Math Review/Radians • Sinusoidal Waveform • Relationship between Displacement, Velocity and Acceleration • Sinusoidal Relationships • Natural Frequency • Calculating Natural Frequency • Decaying Sinusoidal Vibration • Ringing • Undamped MDoF System Vibration • Natural Frequencies • Dimensionless Ratio Graph for 2DoF Systems • Complex Systems • Parallel Spring Stiffness • Multi-Degree-of-Freedom (MDoF) Modeling • Rayleigh’s Method • Dunkerley’s Method • Forced Vibration for SDoF System • Transmissibility • Isolation • Damping • Determining Damping Ratio Experimentally • Effect of Damping • Transient Peak Ratio vs. Damping Ratio • Types of Damping Mechanisms • Effect of Damping on Frequency of Max Response • Vibration Isolators • Continuous Systems • Viscoelastic Damping • “Opposing Frequencies” • Using Mode Shapes in Design • Damped vs. Undamped Response • Modal Testing & Analysis • Resonances and Natural Frequency • Response Factors for a Viscous-Damped SDoF System • SDoF Forced Response – Magnification Factor • Vibration Considerations for Design Engineers