Quasi-Failure Analysis on Resonant Demolition of Random Structural Systems

Abstract

Introduction P ARAMETER uncertainty of structural systems is inherent in most engineering problems. Reliability analysis can help the designer to establish acceptable tolerances on structures and to determinethe  uctuationsof the systemparametersfor safeoperations. Up to now, failure problemsof uncertainvibrationstructuresystems have followed two paths. One is failure research on the basis of the responses (displacement, stress, etc.) of forced vibration.1i8 The other is failure research on the basis of the relation between natural frequency and forcing frequency of vibration systems at resonance and nonresonance. In this Note, the reliability analysis method of avoiding resonance for multi-degree-of-freedom structural systems is presented. The failure model and the failure probability of the random systems are deŽ ned. When the stochastic perturbation method and the reliability theory are used, the formulas of quasifailure probability for resonant problems of random structures are obtained.