Dynamic Force and Motion (310)

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Chapter Outline

Chapter 2 - Dynamic Force and Motion (Mechanical Design for Product Reliability)

  • Laws of Motion
  • Weight vs. Mass
  • Gravity
  • Density
  • Force, Mass and Acceleration
  • Degrees of Freedom
  • Displacement
  • Velocity
  • Acceleration
  • Natural Frequency
  • Sinusoidal Waveform
  • Modeling Complex (MDoF) Systems
  • Dunkerley's and Rayleigh's Methods
  • Transmissibility
  • Isolation
  • Damping
  • Examples

Video Outline

Dynamic Theory (part 1)

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

Dynamic Theory (part 2)

Dynamic Theory (part 3)