RESEARCH PAPER
Weibull Reliability Methodology based on Cumulated Vibration Damage
1
Industrial and Manufacturing Department at the Engineering and Technological Institute, Universidad Autónoma de Ciudad Juárez, Mexico
These authors had equal contribution to this work
Submission date: 2024-10-31
Final revision date: 2024-12-20
Acceptance date: 2025-02-17
Online publication date: 2025-02-21
Publication date: 2025-02-21
Corresponding author
Manuel Piña Monarrez
Industrial and Manufacturing Department at the Engineering and Technological Institute, Universidad Autónoma de Ciudad Juárez, Henri Dunant, 32310, Ciudad Juórez, Mexico
Industrial and Manufacturing Department at the Engineering and Technological Institute, Universidad Autónoma de Ciudad Juárez, Henri Dunant, 32310, Ciudad Juórez, Mexico
Eksploatacja i Niezawodność – Maintenance and Reliability 2025;27(3):201990
HIGHLIGHTS
- We determine the reliability index of each damage element D_i and damage block B_i.
- We determined the Weibull shape and scale parameters for each D_i, and B_i element.
- The estimated shape parameter represents the spread of the cumulated damage until D=1.
- Fatigue vibration damage is cumulated by using a nonlinear model for AL6061-T6.
- The only input of the reliability methodology is the data from the cumulated damage analysis.
KEYWORDS
random vibrationWeibull reliabilitymechanical elementcumulative damage modelstatic and modal analysis
TOPICS
ABSTRACT
In the paper, the formulated Weibull vibration reliability methodology is based on the cumulative vibration damage analysis. It lets us determine the reliability index of each damage element, each damage block, and the reliability of the analyzed element. The vibration cumulated damage is cumulated until D=1, by using the addressed vibration stress and a nonlinear cumulative damage model. Based on static and modal analysis, the vibration stress is determined by incorporating to it the geometry, weight and resonance effects. In the reliability analysis the Weibull shape (β) parameter is determined directly from the number of blocks, for which D=1. The damage element, damage block, and element reliability are all determined based on the values of beta (β) and D_i elements. Finally, based on the cumulated applied cycles n_i the Weibull scale (η) parameter is determined by to each D_i elements, damage block, and analyzed element.
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| eISSN: | 2956-3860 |
| ISSN: | 1507-2711 |
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