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Probabilistic Weibull reliability of a shaft design subjected to bending and torsion stress
Confiabilidad probabilística Weibull en el diseño de un eje sometido a esfuerzos de flexión y torsión
DOI:
https://doi.org/10.15446/dyna.v91n232.111361Palabras clave:
probabilistic design; Weibull distribution; reliability; stress-strength (en)diseño probabilístico; distribución de Weibull; fiabilidad; tensión-resistencia (es)
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The circular shaft serves as the axis of rotation for the components. It is subjected to flexion and tearing, indicating that fatigue is the mode of failure. The range of stresses resulting from the mean and alternating loads determines the occurrence of fatigue failure. The deterministic fatigue analysis, calculated using the stress average obtained from SN curves, can only represent the mean life. This is because the stress range is not a single number, and therefore it cannot provide the reliability level for the stress. The study employs the Weibull distribution to estimate loads and parameters for a probabilistic shaft design under bending and torsion. The minimum strength is assessed using corresponding stress analysis to determine the reliability index for the designed shaft.
El eje circular sirve de eje de rotación de los componentes. Está sometido a flexión y desgarro, lo que indica que el modo de fallo es la fatiga. El rango de tensiones resultante de las cargas medias y alternas determina la aparición del fallo por fatiga. El análisis determinista de la fatiga, calculado a partir de la tensión media obtenida de las curvas SN, sólo puede representar la vida media. Esto se debe a que el rango de tensiones no es un número único y, por lo tanto, no puede proporcionar el nivel de fiabilidad de la tensión. El estudio emplea la distribución de Weibull para estimar las cargas y los parámetros de un diseño probabilístico de un eje sometido a flexión y torsión. La resistencia mínima se evalúa mediante el correspondiente análisis de tensiones para determinar el índice de fiabilidad del eje diseñado.
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