Skip to main content

Equivalencing of Sine-Sweep and Random Vibration Specification with Considerations of Nonlinear Statistics

  • Conference paper
  • First Online:
Dynamic Environments Testing, Volume 7 (SEM 2023)

Included in the following conference series:

  • 57 Accesses


Comparison of pure sinusoidal vibration to random vibration or combinations of the two is an important and useful subject for dynamic testing. The objective of this chapter is to succinctly document the technical background for converting a sine-sweep test specification into an equivalent random vibration test specification. The information can also be used in reverse, i.e., to compare a random vibe spec with a sine-sweep, although that is less common in practice. Because of inherent assumptions involved in such conversions, it is always preferable to test to original specifications and conduct this conversion when other options are impractical.

This chapter outlines the theoretical premise and relevant equations. An example of implementation with hypothetical but realistic data is provided that captures the conversion of a sinusoid to an equivalent ASD. The example also demonstrates how to account for the rate of sine-sweep to the duration of the random vibration.

A significant content of this chapter is the discussion on the statistical distribution of peaks in a narrow-band random signal and the consequences of that on the damage imparted to a structure. Numerical simulations were carried out to capture the effect of various combinations of narrow-band random and pure sinusoid superimposed on each other. The consequences of this are captured to provide guidance on accuracy and conservatism.

Sandia National Laboratories is a multimission laboratory managed and operated by National Technology & Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International Inc., for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525.

This paper describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the paper do not necessarily represent the views of the U.S. Department of Energy or the United States Government.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions


  1. Cap, J.: “Environments specifications short course, sinusoidal vibration”, es2p3_sinevibration_103120.pptx

    Google Scholar 

  2. Fackler, W.C.: 1972, “Equivalence Techniques for Vibration Testing”, SVM-9, Shock and Vibration Monograph Series (DTIC, 1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to Arup Maji .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Society for Experimental Mechanics, Inc

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Maji, A. (2024). Equivalencing of Sine-Sweep and Random Vibration Specification with Considerations of Nonlinear Statistics. In: Harvie, J. (eds) Dynamic Environments Testing, Volume 7. SEM 2023. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham.

Download citation

  • DOI:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-34929-4

  • Online ISBN: 978-3-031-34930-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics