Stress-strength Weibull analysis with different shape parameter B and probabilistic safety factor

Since products are subjected to a random variable stress-strength, their reliability must be determined using the stress-strength analysis. Unfortunately, when both, stress and strength, follow a Weibull distribution with different shape parameters, the reliability stress-strength has not a close so...

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Detalhes bibliográficos
Autores: Manuel Baro Tijerina, Baldomero Villa Covarrubias, Manuel Román Piña Monarrez
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2020
País:México
Recursos:Universidad Autónoma de Ciudad Juárez
Repositório:Repositorio Institucional de la Universidad Autónoma de Ciudad Juárez
OAI Identifier:oai:uacj.mx:oai:cathi.uacj.mx:20.500.11961ir-15987
Acesso em linha:https://doi.org/10.15446/dyna.v87n215.84909
Access Level:Acceso aberto
Palavra-chave:Probabilistic safety factor
Weibull Distribution
Stress-strength analysis
Common Weibull shape parameter
info:eu-repo/classification/cti/7
Descrição
Resumo:Since products are subjected to a random variable stress-strength, their reliability must be determined using the stress-strength analysis. Unfortunately, when both, stress and strength, follow a Weibull distribution with different shape parameters, the reliability stress-strength has not a close solution. Therefore, in this paper, the formulation to perform the analysis stress-strength Weibull with different shape parameters is derived. Furthermore, the formulation to determine the safety factor that corresponds to the designed reliability is also given. And because the relationship between the derived safety factor and the designed reliability is unique, then because reliability is random, the derived safety factor is random.