Economic-based design of engineering systems with degrading components using probabilistic loss of quality

Son, Young Kap; Chang, Seog-Weon; Savage, Gordon J.

doi:10.1007/bf02916283

Cited by 13 publications

(3 citation statements)

References 14 publications

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“…1 with components and interconnection models taken from [15]. A voltage supply v 1 acts as the input, and at the output an applied torque τ 15 models the load arising from some arbitrary connected subsystem.…”

Section: Case Studiesmentioning

confidence: 99%

Reliability prediction of engineering systems with competing failure modes due to component degradation

Son

2011

J Mech Sci Technol

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Reliability of an engineering system depends on two reliability metrics: the mechanical reliability, considering component failures, that a functional system topology is maintained and the performance reliability of adequate system performance in each functional configuration. Component degradation explains not only the component aging processes leading to failure in function, but also system performance change over time. Multiple competing failure modes for systems with degrading components in terms of system functionality and system performance are considered in this paper with the assumption that system functionality is not independent of system performance. To reduce errors in system reliability prediction, this paper tries to extend system performance reliability prediction methods in open literature through combining system mechanical reliability from component reliabilities and system performance reliability. The extended reliability prediction method provides a useful way to compare designs as well as to determine effective maintenance policy for efficient reliability growth. Application of the method to an electro-mechanical system, as an illustrative example, is explained in detail, and the prediction results are discussed. Both mechanical reliability and performance reliability are compared to total system reliability in terms of reliability prediction errors.

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Section: Case Studiesmentioning

confidence: 99%

Reliability prediction of engineering systems with competing failure modes due to component degradation

Son

2011

J Mech Sci Technol

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“…In this research, we use time-dependent reliability concepts associated with the so-called first-passage of non-repairable systems. Among its many applications, the approach can be used to reduce the lifecycle cost [3,4] or to set a schedule for preventive condition-based maintenance [5].…”

Section: Introductionmentioning

confidence: 99%

Time-Dependent Reliability of Dynamic Systems Using Subset Simulation With Splitting Over a Series of Correlated Time Intervals

Wang

Mourelatos

et al. 2014

Journal of Mechanical Design

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Time-dependent reliability is the probability that a system will perform its intended function successfully for a specified time. Unless many and often unrealistic assumptions are made, the accuracy and efficiency of time-dependent reliability estimation are major issues which may limit its practicality. Monte Carlo simulation (MCS) is accurate and easy to use, but it is computationally prohibitive for high dimensional, long duration, time-dependent (dynamic) systems with a low failure probability. This work is relevant to systems with random parameters excited by stochastic processes. Their response is calculated by time integrating a set of differential equations at discrete times. The limit state functions are, therefore, explicit in time and depend on time-invariant random variables and time-dependent stochastic processes. We present an improved subset simulation with splitting approach by partitioning the original high dimensional random process into a series of correlated, short duration, low dimensional random processes. Subset simulation reduces the computational cost by introducing appropriate intermediate failure sub-domains to express the low failure probability as a product of larger conditional failure probabilities. Splitting is an efficient sampling method to estimate the conditional probabilities. The proposed subset simulation with splitting not only estimates the time-dependent probability of failure at a given time but also estimates the cumulative distribution function up to that time with approximately the same cost. A vibration example involving a vehicle on a stochastic road demonstrates the advantages of the proposed approach.

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“…Their model takes into account the time value of money for quality loss and product degradation over time. Son et al [10] presented an economic-based design of engineering systems using present worth as a measure of quality loss over time due to degradation. Peng et al [11] established an optimization model to perform the tolerance design of products with correlated characteristics by integrating the time value of money for quality loss and product degradation over time into the total cost function, and the optimal tolerances are achieved by minimizing the total cost, which is the sum of the manufacturing cost and the present worth of expected quality loss.…”

Section: Introductionmentioning

confidence: 99%

Concurrent tolerancing for design and manufacturing based on the present worth of quality loss

Peng

2011

Int J Adv Manuf Technol

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The quality loss function developed by Taguchi provides a monetary measure for the deviation of the product quality characteristic from the target value. Product use causes degradation on its quality characteristic, and since such a deviation can be changing over time, so can the quality loss. However, most studies on concurrent tolerancing theory do not consider the quality loss caused by the degradation. In this paper, the present worth of expected quality loss expressed as the function of the pertinent process tolerances in a concurrent tolerancing environment is derived to capture the quality loss due to product degradation over time as a continuous cash flow function under continuous compounding. A new tolerance optimization model, which is to minimize the summation of manufacturing cost and the present worth of expected quality loss, is established to realize the concurrent tolerance allocation for products with multiple quality characteristics. An example of the bevel gear assembly involving concurrent allocation of design and process tolerances is given, demonstrating that the proposed model is feasible in practice.

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Economic-based design of engineering systems with degrading components using probabilistic loss of quality

Cited by 13 publications

References 14 publications

Reliability prediction of engineering systems with competing failure modes due to component degradation

Reliability prediction of engineering systems with competing failure modes due to component degradation

Time-Dependent Reliability of Dynamic Systems Using Subset Simulation With Splitting Over a Series of Correlated Time Intervals

Concurrent tolerancing for design and manufacturing based on the present worth of quality loss

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