Practical reliability-based analysis of a coil tube spring

Zhang, Y M; Liu, Q L

doi:10.1243/0954406021525115

Cited by 9 publications

(10 citation statements)

References 23 publications

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“…If the reliability computed by the Edgeworth series is R>1, the results computed by the amendatory expression(18) are closer to that by Monte Carlo simulation than that by the Edgeworth series in interval [0.99, 1] that is usually used for reliability analysis in engineering computation practice. The distribution function curves derived from the amendatory expression(18) are monotonic in interval [0, 1].…”

mentioning

confidence: 87%

“…The amendatory expression (18) can ensure the reliability R to satisfy 0 1 R ≤ ≤ gradually and accurately.…”

Section: Edgeworth Seriesmentioning

confidence: 99%

“…The distribution function curves derived from the amendatory expression(18) are monotonic in interval [0, 1]. Therefore, if the reliability computed by the Edgeworth series is R>1, the reliability sensitivity computed by the differentiation of the amendatory expression is more accurate than that computed by Eqs.…”

mentioning

confidence: 99%

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Reliability-based sensitivity of mechanical components with arbitrary distribution parameters

Zhang

Yang

et al. 2010

J Mech Sci Technol

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This paper presents a reliability-based sensitivity method for mechanical components with arbitrary distribution parameters. Techniques from the perturbation method, the Edgeworth series, the reliability-based design theory, and the sensitivity analysis approach were employed directly to calculate the reliability-based sensitivity of mechanical components on the condition that the first four moments of the original random variables are known. The reliability-based sensitivity information of the mechanical components can be accurately and quickly obtained using a practical computer program. The effects of the design parameters on the reliability of mechanical components were studied. The method presented in this paper provides the theoretic basis for the reliability-based design of mechanical components.

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mentioning

confidence: 87%

“…The amendatory expression (18) can ensure the reliability R to satisfy 0 1 R ≤ ≤ gradually and accurately.…”

Section: Edgeworth Seriesmentioning

confidence: 99%

See 1 more Smart Citation

Reliability-based sensitivity of mechanical components with arbitrary distribution parameters

Zhang

Yang

et al. 2010

J Mech Sci Technol

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“…According to the perturbation method of reliability design [6,7] and the definition of the reliability index, the reliability index β is given as…”

Section: Dynamic Reliability Designmentioning

confidence: 99%

Dynamic reliability-based robust optimization design for a torsion bar

2008

Proceedings of the Institution of Mechanical Engineers, Part C:

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The variation rules of strength, load, and reliability of mechanical components are studied with a change in time, and a model is established for dynamic reliability of mechanical components under the random load acting. According to the model, the design of dynamic reliability sensitivity is discussed, and the approach to calculate it is proposed. By combining the theory of reliability-based optimization design with the method of sensitivity analysis, the computational method of dynamic reliability-based robust optimization design is established, and the problem of dynamic reliability-based robust optimization design of a torsion bar is solved.

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“…Current design practice tends to account for the uncertainties by use of factors of safety and reliability. During the last four decades, the reliability-based design [1][2][3][4][5][6][7][8][9][10][11][12][13][14], the reliability-based optimization [15 -17], and the reliability sensitivity technique [18 -20] have been described.…”

Section: Introductionmentioning

confidence: 99%

An approach of robust reliability design for mechanical components

Zhang

Liu

et al. 2005

Proceedings of the Institution of Mechanical Engineers, Part E:

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The reliability-based optimization, the reliability sensitivity technique, and the robust design are employed to present a practical and effective approach of robust reliability design for mechanical components on the condition of known probabilistic characteristics of original random variables. The theoretical formula of robust reliability design for mechanical components is obtained. The respective program can be used to obtain the robust reliability design parameters accurately and quickly. According to the numerical results, the method proposed is a convenient and practical robust reliability design method. Downloaded fromThe initial values, d 1 ¼ 9 mm, d ¼ 16 mm, D ¼ 80 mm, n ¼ 10, are given, and the optimal d 1 , d, D, and n are d 1 ¼ 5.000497 mm, d ¼ 10.0008 mm, D ¼ 76.81712 mm, n ¼ 7.017805.

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Practical reliability-based analysis of a coil tube spring

Cited by 9 publications

References 23 publications

Reliability-based sensitivity of mechanical components with arbitrary distribution parameters

Reliability-based sensitivity of mechanical components with arbitrary distribution parameters

Dynamic reliability-based robust optimization design for a torsion bar

An approach of robust reliability design for mechanical components

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