Frequency Reliability Sensitivity Analysis for Random Axial Vibration of Rod Systems

摘要

The paper is concerned with the frequency reliability and related sensitivity analysis problem for random continuous vibration structure systems. Reliability analysis based on frequency is necessary for reliability problems of uncertain vibration structure systems. The paper introduces an approach to calculate the reliability of a random continuous vibration structure subject to dynamic excitation, which is based on the frequency reliability theory. With the criterion that the absolute value of the difference between the natural frequency and forcing frequency, the reliability mode and the safety probability of random systems are defined, and then the frequency reliability sensitivity analysis method is presented. The frequency sensitivity analysis method for resonant problem of the dynamic structural systems reliability is quested by using the random perturbation technique, the reliability theory and sensitivity approach. The equations of the reliability and the related sensitivity to mean values and variances are mathematically expressed, and a numerical example is provided to demonstrate the effectiveness and accuracy of the proposed method. This study established theory basis for sensitivity evaluation, additionally, the theoretical developments can be used to evaluate the robustness of the reliability of a mechanical structure under dynamic excitation.