Validation of Analytical Damping Ratio by Fatigue Stress Limit

Faruq Muhammad Foong, Thein Chung Ket*, Ooi Beng Lee, Abdul Rashid Abdul Aziz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
23 Downloads (Pure)


The optimisation process of a vibration energy harvester is usually restricted to experimental approaches due to the lack of an analytical equation to describe the damping of a system. This study derives an analytical equation, which describes the first mode damping ratio of a clamp-free cantilever beam under harmonic base excitation by combining the transverse equation of motion of the beam with the damping-stress equation. This equation, as opposed to other common damping determination methods, is independent of experimental inputs or finite element simulations and can be solved using a simple iterative convergence method. The derived equation was determined to be correct for cases when the maximum bending stress in the beam is below the fatigue limit stress of the beam. However, an increasing trend in the error between the experiment and the analytical results were observed at high stress levels. Hence, the fatigue limit stress was used as a parameter to define the validity of the analytical equation.

Original languageEnglish
Article number012025
JournalIOP Conference Series: Materials Science and Engineering
Issue number1
Publication statusPublished - 16 Mar 2018

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)


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