An exploratory study for predicting component reliability with new load conditions

doi:10.1007/s11465-018-0522-x

Front. Mech. Eng.

2019, Vol. 14

Issue (1) : 76-84 https://doi.org/10.1007/s11465-018-0522-x

RESEARCH ARTICLE

An exploratory study for predicting component reliability with new load conditions

Zhengwei HU, Xiaoping DU(

)

Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO 65409, USA

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Abstract

Reliability is important to design innovation. A new product should be not only innovative, but also reliable. For many existing components used in the new product, their reliability will change because the applied loads are different from the ones for which the components are originally designed and manufactured. Then the new reliability must be re-evaluated. The system designers of the new product, however, may not have enough information to perform this task. With a beam problem as a case study, this study explores a feasible way to re-evaluate the component reliability with new loads given the following information: The original reliability of the component with respect to the component loads and the distributions of the new component loads. Physics-based methods are employed to build the equivalent component limit-state function that can predict the component failure under the new loads. Since the information is limited, the re-evaluated component reliability is given by its maxi- mum and minimum values. The case study shows that good accuracy can be obtained even though the new reliability is provided with the aforementioned interval.

Keywords reliability component failure mode prediction random variable

Corresponding Author(s): Xiaoping DU

Just Accepted Date: 07 June 2018 Online First Date: 20 July 2018 Issue Date: 30 November 2018

Cite this article:

Zhengwei HU,Xiaoping DU. An exploratory study for predicting component reliability with new load conditions[J]. Front. Mech. Eng., 2019, 14(1): 76-84.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-018-0522-x
https://academic.hep.com.cn/fme/EN/Y2019/V14/I1/76

Fig.1 stress-strength interference theory (SSIT) model

Fig.2 Rectangular beam with an axial tension L

Fig.3 Probability diagrams under condition Z₁>Z₂

Fig.4 Probability diagrams under condition Z₂>Z₁

Fig.5 A beam under testing condition

Fig.6 The beam works in new condition

Variable	$S strength, 1$ /MPa (normal)	$S strength,2$ /MPa (normal)	d/m (deterministic)	b/m (deterministic)	h/m (deterministic)
Mean	220	65	1.0	0.075	0.18
Standard deviation	30	10	?	?	?

Tab.1 Beam design details

Loads/kN	$p f$
100	2×10^?⁷
150	1.310×10^?⁵
200	6.328×10^?⁴
250	1.429×10^?²
300	0.123
350	0.448
400	0.815
450	0.973
500	0.998
550	1.000

Tab.2 Probabilities of failure of the beam at different Load levels

Tab.3 Details of the new condition

Fig.7 The cumulative distribution function (CDF) of S

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