Vibration Concepts Quiz

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Questions and Answers

What term refers to the transfer of energy between kinetic and potential forms during vibration?

  • Energy Conversion
  • Energy Loss
  • Energy Transfer
  • Energy Exchange (correct)

What is the term for the time taken for one complete cycle of vibration?

  • Frequency
  • Cycle Time
  • Wavelength
  • Period (correct)

Which of the following factors affects the natural frequency of a vibrating system?

  • Mass and Stiffness (correct)
  • Velocity and Force
  • Damping and Frequency
  • Amplitude and Energy

When the damping ratio of a vibrating system is less than one, how is the system classified?

<p>Underdamped (B)</p> Signup and view all the answers

What phenomenon occurs when the frequency of an external force is slightly different from the natural frequency of a system?

<p>Beats (C)</p> Signup and view all the answers

What term describes the spatial pattern of vibration exhibited by a structure at a particular mode?

<p>Mode Shape (B)</p> Signup and view all the answers

What type of vibration occurs when an external force is continuously applied to a system?

<p>Forced Vibration (C)</p> Signup and view all the answers

What is the ratio of actual damping to critical damping in the system known as?

<p>Damping Ratio (D)</p> Signup and view all the answers

Flashcards

Forced Vibration

Vibration caused by a continuously applied external force.

Resonance

The point where forced vibration amplitude is maximum and in phase with the exciting force.

Inertia Force

The force opposing the change in velocity of a vibrating mass.

Natural Frequency

The frequency at which a system naturally vibrates without external forces.

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Logarithmic Decrement

The measure of amplitude decay over time in damped vibration.

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Damping Ratio

Ratio of actual damping to critical damping in a system.

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Free Vibration

Vibration occurring without external forces (e.g., a swing freely oscillating).

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Amplitude

Maximum displacement from the equilibrium position during vibration.

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Study Notes

Vibration Concepts

  • Energy Exchange: Transfer of energy between kinetic and potential forms during vibration.
  • Logarithmic Decrement: Decay of amplitude over time in a damped vibration.
  • Factors Affecting Damping Ratio: Damping and frequency.
  • Forced Vibration: Vibration occurring when an external force is continuously applied.
  • Resonance: Point of maximum forced vibration amplitude, in phase with the exciting force.
  • Inertia Force: Force required to displace a vibrating system from its equilibrium position.
  • Resonant Frequency: Frequency at which a system naturally vibrates without external forces.
  • Period: Time taken for one complete vibration cycle.
  • Damping Ratio: Ratio of actual damping to critical damping.
  • Beat Frequency: Difference in frequency between two interacting vibrations.
  • Initial Conditions: Starting displacement and velocity of a vibrating system.
  • Mode Shape: Spatial pattern of vibration exhibited by a structure at a particular mode.
  • Underdamped System: System with a damping ratio less than one.
  • Factors Affecting Natural Frequency: Mass and stiffness.
  • Free Vibration: Motion of a swing moving back and forth freely.
  • Frequency (from period): If a mass-spring system oscillates with a period of 2 seconds, its frequency is 0.5 Hz.
  • Amplitude: Maximum displacement from equilibrium position during vibration.
  • Magnification Factor: Ratio of forced vibration amplitude to exciting force amplitude.
  • Beat Frequency (phenomenon): Occurs when an external force frequency is slightly different from the system's natural frequency.
  • Damping: Energy lost by a vibrating system due to friction and dissipation.
  • Logarithmic Decrement (time): Time taken for a system to reach 63.2% of its maximum displacement during a damped vibration.
  • Damping Ratio (measure): Measures how quickly a vibrating system loses energy over time.

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