A generalized SSI reliability model considering stochastic loading and strength aging degradation

Author

Huang, Wei ; Askin, Ronald G.

Author_Institution

Seagate Technol., Longmont, CO, USA

Volume

53

Issue

1

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

77

Lastpage

82

Abstract

A generalized stress-strength interference (SSI) reliability model to consider stochastic loading and strength aging degradation is presented in this paper. This model conforms to previous models for special cases, but also demonstrates the weakness of those models when multiple stochastic elements exist. It can be used for any nonhomogeneous Poisson loading process, and any kind of strength aging degradation model. To solve the SSI reliability equation, a numerical recurrence formula is presented based on the Gauss-Legendre quadrature formula to calculate multiple integrations of a random variable vector. Numerical analysis of three examples shows this SSI reliability model provides accurate results for both homogeneous & nonhomogeneous Poisson loading processes.

Keywords

ageing; mechanical strength; numerical analysis; reliability theory; stochastic processes; stress effects; Gauss-Legendre quadrature formula; homogeneous Poisson loading process; nonhomogeneous Poisson loading process; numerical analysis; numerical multiple integration; numerical recurrence formula; random variable vector; stochastic loading; strength aging degradation; stress-strength interference reliability model; Aging; Degradation; Difference equations; Gaussian processes; Interference; Load modeling; Numerical analysis; Poisson equations; Random variables; Stochastic processes;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/TR.2004.823847

Filename

1282164