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Basic considerations for simulation of vibration environments

A brief review of the concepts of sinusoidal and random vibration, followed by discussion of practical limitations on simulating these environments in vibration testing

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Abstract

Two basic classifications of vibration as found on land, sea, air and space vehicles are discussed: (1) sinusoidal, one-frequency-at-a-time vibration that seldom exists outside the laboratory; and (2) random, relatively broad-frequency-spectrum vibration commonly found in actual service.

Designers who need experimental verification of dynamic properties generally specify sinusoidal vibration forcing. The results of such tests are often used for design improvement. However, reliability specialists should insist that field environments be simulated as closely as is practical; this requires random vibration forcing, which is far more difficult to specify and far more expensive to accomplish.

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Abbreviations

A :

peak value of acceleration

a :

instantaneous value of acceleration

D :

peak-to-peak value of displacement

f :

frequency

f N :

natural frequency

K :

spring stiffness

M :

mass

Q :

maximum value of transmissibility

T :

transmissibility ratio

W :

weight

X :

peak value of displacement

x :

instantaneous value of displacement

\(\ddot x\) :

instantaneous value of acceleration

Z :

mechanical impedance

π:

pi

σ:

sigma

sin:

sine of angle

Selective Bibliography

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  • Barrowcliff, B. K. and Ehlert, B. K., “Full Scale Road Simulated Endurance Test,” SAE paper 680148, 1968.

  • Bussa, Stephen L., Fatigue Life of a Low Carbon Notched Steel Specimen Under Stochastic Conditions; Masters Thesis 1967 Dept. of Engineering Mechanics, Wayne State University.

  • Conover, John C., Jaeckel, Henry R. and Kippola, Wayne J., “Simulation of Field Loading in Fatigue Testing,” SAE paper 660102, 1966.

  • Curtis, Allen J., Tinling, Nickolas G. and Abstein, Henry T., Jr., Selection and Performance of Vibration Tests, The Shock and Vibration Information Center, U. S. Department of Defense, 1971.

  • Keast, David N., Measurements in Mechanical Dynamics, McGraw-Hill Book Co., New York, 1967.

    Google Scholar 

  • Madden, M. B., “Road Simulator Testing of Large Vehicles,” SAE paper 700455, 1970.

  • Sorenson, G. R., “Bringing the Road into the Laboratory,” The Journal of Environmental Sciences, August 1969.

  • Swanson, S. R., “New Horizons in Dynamic Testing,” Test Engineering and Management, May and June, 1971.

  • Tustin, W., Environmental Vibration and Shock Testing, Measurement, Analysis and Calibration, Tustin Institute of Technology, 1971.

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Tustin, W. Basic considerations for simulation of vibration environments. Experimental Mechanics 13, 390–396 (1973). https://doi.org/10.1007/BF02324043

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  • DOI: https://doi.org/10.1007/BF02324043

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