Chapter 2
The Kinematics of Vibration and Acoustics


The motion represented by the equation

or, in more compact complex variable notation,
is called simple harmonic motion. Most vibrations and noise we encounter belong to the category of linear vibration and consist of a linear combination of simple harmonic motions of different amplitudes, frequencies and phases. The frequency of a point mass-spring system is given by:
The frequency in cycles/s, or Hz, is related to the frequency in radians/s by,
The instantaneous velocity and acceleration of a vibrating point mass is given by:
The velocity of propagation of a wave is given by:
Vibrations can be represented in the time domain (time histories) or in the frequency domain (power spectral densities). Both contain the same information.

  • Summary
  • Nomenclature
  • 2.1 Introduction
  • 2.2 Free Vibration and Simple Harmonic Motion
  • 2.3 Linear Vibration and Circular Motion
  • 2.4 Vibration Measurement
  • 2.5 Time Domain Representation of Vibration
  • 2.6 Superposition of Sinusoidal Waves
  • 2.7 Random Vibration and Noise
  • 2.8 Frequency Domain Representation of Vibration
  • 2.9 Traveling Waves
  • 2.10 Propagation of Sound Waves
  • Example 2.1: Tapping Wave Forms from Two Piston Lift Check Valves
  • 2.11 Energy in Sound Waves
  • 2.12 Threshold of Hearing and Threshold of Pain
  • 2.13 The Logarithmic Scale of Sound Intensity Measurement—The Decibel
  • 2.14 The Decibel Used in Other Disciplines
  • 2.15 Case Studies
  • Case Study 2.1: Forced Vibration of Nuclear Reactor Components by Coolant Pump-Generated Acoustic Load
  • Case Study 2.2: Detecting Internal Leaks in a Nuclear Plant
  • References

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In