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Shock and Vibration Severity

Applications of a Fatigue Damage Sum (∑FDS)

By Steve Smithson, BSME, MBA — Smithson & Associates, Inc.

An incentive for engineers and test professionals seeking to quantify real-world vibration severity beyond traditional frequency-domain shortcomings.



(Preview)


For decades, shock and vibration practitioners have relied on FFT, PSD, and gRMS to describe test environments—tools that fall short when data are non-Gaussian, non-stationary, or multi-axis.


Steve Smithson’s Applications of a Fatigue Damage Sum (∑FDS) introduces a decisive step forward: a time-domain metric that correlates directly with cumulative fatigue damage and perceived severity.


Built on the foundations of the Smallwood Ramp-Invariant Recursive Digital Filter (RIRDF) and guided by Irvine’s Admonition against false precision, this 110-page reference connects test profile parameters to end-use environment damage with clarity and practical rigor.


What You’ll Learn

  • How to move from frequency-domain snapshots to deterministic, damage-based severity metrics
  • Implementation of ∑FDS for HALT, HASS, ESS, and RS/ED shaker processes
  • Methods for compressing test durations without sacrificing correlation to real-life conditions
  • Using a Q-Map to model damping and resonance more realistically across bandwidths
  • Real-world case studies from commercial, automotive, aerospace, and defense industries
  • Statistical applications of ∑FDS for reliability and confidence estimates

Whom It’s For

  • Shock and vibration engineers
  • Reliability and test lab managers
  • OEMs and system integrators in commercial, aerospace, automotive, and defense industries
  • Researchers and consultants seeking actionable fatigue metrics

Why It Matters

The ∑FDS framework bridges the gap between traditional modeling and applied reliability testing.

It empowers engineers to quantify causes of failure—cumulative damage over time, not just snapshot spectral energy.


Includes: glossary, references, and key papers by the author and others

Format: Secure PDF (110 pages)

Purchase includes 12 months of free errata and updates


“A collection of approaches to quantifying the severity of shock and vibration in end-use environments and test requirements.”


What to Expect When You Order the Print version

When you purchase Applications of a Fatigue Damage Sum (FDS), you’re ordering a professionally printed, "Perfect-bound" softcover copy directly from the author.


  • Preview Before You Buy: A full preview of the Introduction is available on this page so you can explore the book’s scope, depth, and practical value before purchasing.
  • Author-Fulfilled Orders: Each copy is personally handled and mailed by Steve Smithson, ensuring that every order is fulfilled with precision and care.
  • Processing & Delivery: Once your order is received, printing and shipment are initiated. Please allow standard production and mailing time for delivery to your address.
  • Confirmation & Support: You’ll receive an email confirmation immediately after checkout. If you have any questions about your order or shipment, you can reach out anytime through the contact link provided.


This direct-from-author process ensures that every copy comes authentically sourced and personally overseen, maintaining the same engineering integrity and attention to detail reflected throughout the work itself.



What to Expect When You Order the Electronic version

When you purchase the digital edition of Applications of a Fatigue Damage Sum (FDS), here’s how your experience will flow:

  • Instant Access: As soon as the payment processes, Payhip will automatically provide you with a secure download link for your e-book file.
  • Download & Read: You’ll receive the e-book in a convenient format (PDF, EPUB, or the format specified) that you can open on your computer, tablet, or mobile device.
  • Safe & Secure: The file is delivered through Payhip’s digital product system, which protects downloads and sets download-limits to help ensure the integrity of your purchase.
  • Your Fulfillment, Our Clarity: No shipping. No wait. Once the order completes, your copy is yours, ready for immediate use and reference.
  • Support & Next Steps: Should you encounter any download or file-format issues, you can reach out using the contact link provided at checkout. We’ll guide you to get it working on your preferred device.


You will get a PDF (2MB) file