Vibration Fatigue Life Reliability Cable Trough Assessment by Using Weibull Distribution

Abstract

In this paper, the formulation to incorporate the used vibration profile, the stress generated by the product’s application, mass, and the resonance frequency is given. After that, based on the vibration output data, the two-parameter Weibull distribution is used to predict the corresponding reliability indices. In the method, the mentioned stress is incorporated as acceleration response (Ares), and by using a dynamic stress factor (σdyn). In addition, the Weibull parameters are determined based on the generated maximum and minimum principal vibration stress values. In the paper we show the efficiency of the fitted Weibull distribution to predict the reliability indices, by using its Weibull shape and scale parameters, it is always possible to reproduce the principal vibration stress values. Additionally, from the numerical application, we show how to use the Weibull analysis to determine the reliability index for a desired stress or desired cycle value. Finally, we also present the guidelines to apply the proposed method to any vibration fatigue analysis where the Ares (used to determine the σ1 and σ2 values), and the σdyn value are both known.

Keywords

• fatigue damage
• random vibration
• Weibull distribution
• fatigue reliability analysis