Dynamic reliability analysis of a cantilever beam during a deterioration process

Abstract

Considering deterioration process of a beam structure subjected to cyclic load, the reliability and sensitivity analysis is presented. Gamma process is introduced to describe the deterioration of properties and the accuracy of the model is verified by experiments of structures under cycle load. A set of experiments is designed to investigate the deterioration process of the beam under cycle load. For arbitrarily distributed random material and geometric variables, the stochastic perturbation method and Edgeworth series are used to approximate the statistical characteristics of vibration and failure probability. Monte Carlo simulation is employed to show the validity of the method proposed. Additionally, the effects of material and geometric parameters are discussed to provide important information for design and use of beam structures.

Keywords:

• Reliability analysis
• deterioration
• gamma process
• Edgeworth series
• stochastic perturbation method

Disclosure statement

No conflict of interest exists in the submission of this manuscript and the manuscript is approved by all authors for publication.

Additional information

Funding

This study is funded by the National Key Basic Research Development Plan of China (973 Program) (Grant No. 2014CB046303), China Postdoctoral Science Foundation (Grant No. 2017M610180), and National Natural Science Foundation of China (Grant No. 51575095).