Abstract
In MIL-STD-810, the environmental engineering consideration and laboratory tests by US military, the DP (damage potential) formula is used to calculate the fatigue damage by vibration environments which is a simplified version of a FDS (fatigue damage spectrum) formula. DP, however, was originally made for comparison between different test standards and is not an optimized formula for the synthesis of vibration environments. This paper presents the GRS (Gaussian Random Synthesis) formula for only vibration test synthesis featuring simplified DP formula and produce the same result as DP. Although the GRS provides insight into the synthesis of vibration tests, it must be used with care because it inherits the constraints of the original FDS formula.
Highlights
Products must perform adequately under all environmental conditions associated with its service life
To introduce Gaussian random synthesis (GRS), we first examine the concept of fatigue damage spectrum (FDS) thoroughly in time domain and how from the damage potential (DP) to suit the purpose of vibration condition synthesis
The equation above is a formula for calculating the fatigue damage index accumulated in a lightly damped SDOF system excited by Gaussian random vibration, and it can be called the FDS equation
Summary
Products must perform adequately under all environmental conditions associated with its service life. Sci. 2020, 10, 458 response becomes a Rayleigh one, the FDS equation gets much simpler [7] By simplifying this further, Henderson and Piersol proposed a descriptor for comparing random test conditions and named it. To introduce GRS, we first examine the concept of FDS thoroughly in time domain and how from the DP to suit the purpose of vibration condition synthesis. This simplified equation, called GRS the FDS formula, which is the basis of DP, frequency domain, and look at how We present an Thenofthe more simplified formula, GRS the thatnew is newly in and this paper is derived It example synthesis using FDS, DP, and GRSpresented equations discuss the results. The constraints and problems that the method has inherited must be checked as well
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