Basic Spectrum Analysis for Physical Applications
iest, tri

This course provides the basis for the processing of random time histories with embedded discrete components for purposes of developing a Laboratory Vibration Test Specification (LVTS) . The Wold Decomposition Theorem ensures that a general time history can be characterized by a Continuous Random Spectrum (CRS) and a Discrete Component Spectrum (DCS). Fourier based techniques are among the most powerful non-parametric tools for estimation of both spectra.

The first part of the class provides the basis for estimation of the CRS. The second part of the class is concerned with estimation of the embedded DCS. The final portion is concerned with LVTS development. Overall this tutorial is designed to provide a basis for developing LVTS from measurement data where accurate estimates of DCS information is essential. Both the Design Usage Spectrum and the Fatigue Damage Spectrum are cursorily discussed as a means of determining Laboratory Test Times (LTT) associated with the derived LVTS.

Course outline     Who should attend?     Course materials     Instructor

Course outline
  • Rational and Motivation for Spectral Analysis
  • Time History Classification
  • Deterministic Spectral Analysis
  • Stochastic Spectral Analysis (Continuous Random Spectrum and Discrete Component Spectrum)
  • Aspects of Nonparametric Spectral Analysis
  • Discrete Component Spectrum Estimation
  • Spectrum Error Analysis
  • Outline for LVTS Development
  • Design Usage Spectrum and Fatigue Damage Spectrum
  • References and Resources

Who should attend?

The prerequisites for the course would be some interest in basic digital signal processing of signals from accelerometers etc. It is geared towards mechanical engineers or electrical engineers and is foundational for assessing data with frequency characteristics.

Course materials

  • Copy of IEST-RP-DTE012.2: Handbook for Dynamic Data Acquisition and Analysis
  • Copy of PowerPoint presentation in course binder
  • Certificate of attendance for completion of CEUs

Continuing Education Units: .3 CEUs


Ron Merritt