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Stress-Strength Weibull Analysis with Different Shape Parameter β and Probabilistic Safety Factor
Análisis estrés-resistencia Weibull con diferente parámetro de forma β y su factor de seguridad probabilístico
DOI:
https://doi.org/10.15446/dyna.v87n215.84909Palabras clave:
probabilistic safety factor; Weibull distribution; stress-strength analysis; common Weibull shape parameter; variable stress-strength; β estimation directly (en)factor de seguridad probabilístico; distribución Weibull; análisis estrés-resistencia; parámetro de forma común Weibull; estrés-resistencia variables; estimación directa de β (es)
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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.
Cuando los productos son sometidos a estrés variables, su confiabilidad debe ser estimada a partir de la resistencia que éstos tienen ante el estrés al que son sometidos, para lo que usamos el análisis estrés-resistencia. Desafortunadamente, cuando ambos, el estrés y la resistencia siguen un comportamiento Weibull con diferentes parámetros de forma, no existe una solución cerrada en la estimación de la confiabilidad. Por lo tanto, en este artículo, se presenta la formulación para poder realizar el análisis estrés-resistencia Weibull con diferente parámetro de forma. Además, la formulación para determinar el factor de seguridad probabilístico correspondiente al producto es dado. Y como la relación entre el factor de seguridad y la confiabilidad son únicas, entonces, la confiabilidad es aleatoria y el factor de seguridad también.
Referencias
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