Validation of Analytical Damping Ratio by Fatigue Stress Limit

Foong, F.M. and Ket, T.C. and Lee, O.B. and Abdul Aziz, A.R. (2018) Validation of Analytical Damping Ratio by Fatigue Stress Limit. IOP Conference Series: Materials Science and Engineering, 328 (1).

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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. © Published under licence by IOP Publishing Ltd.

Item Type:Article
Impact Factor:cited By 0; Conference of 3rd International Conference on Mechanical, Manufacturing and Process Plant Engineering 2017, ICMMPE 2017 ; Conference Date: 22 November 2017 Through 23 November 2017; Conference Code:135320
Uncontrolled Keywords:Cantilever beams; Damping; Finite element method; Iterative methods; Manufacture; Vibration analysis, Analytical equations; Analytical results; Determination methods; Equation of motion; Experimental approaches; Fatigue limit stress; Finite element simulations; Vibration energy harvesters, Equations of motion
Departments / MOR / COE:Research Institutes > Energy
ID Code:21707
Deposited By: Mr Ahmad Suhairi
Deposited On:14 Aug 2018 00:55
Last Modified:16 Nov 2018 08:57

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