Work

Weibull Stress/Strength Method to Random Vibration by Considering the Cumulative Damage

Year: 2026

Type: article

Abstract: The paper presents a methodology to determine the reliability of a mechanical element directly from the accumulated vibration damage. To make damage representative, the time, geometry, load and resonance effects were all incorporated into the analysis through a simulation. And since vibration is a variant stress, then the element’s reliability was determined by using a common shape parameter of the Weibull stress and Weibull strength distributions. The formulas to estimate the stress Weibull parameters from the vibration stress values, and the formulas to determine the strength Weibull parameters by considering the material fatigue factor and the vibration testing profile are both given. Then the common Weibull shape parameter and the accumulated damage were used to determine the element reliability. From the application, the element’s reliability occurred in the first row, and the expected reliability of 97% occurred in the seventh row of the accumulated damage table. Also, the reliability index of each accumulated damage row is provided.

Source: Vibration

DOI: 10.3390/vibration9040081

Authors: María Magdalena Hernández-Ramos, Manuel Román Piña-Monarrez, Osvaldo Monclova-Quintana, Jesús Manuel Barraza-Contreras

Institutions: Universidad Autónoma de Ciudad Juárez, Tecnológico de Monterrey

Language: English

Topic: Reliability and Maintenance Optimization

Subfield: Safety, Risk, Reliability and Quality

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,930

OpenAlex ID: W7225611556

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