Parametric Sensitivity in First Order Reliability Theory

Bjerager, Peter; Krenk, Steen

doi:10.1061/(asce)0733-9399(1989)115:7(1577)

Cited by 180 publications

(74 citation statements)

References 3 publications

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“…A set useful sensitivity analysis in vibration reliability has practical applications within reliability-based design, in optimization of structural design, construction, maintenance and inspection under reliability constraints, in parameter studies of the reliability, and in reliability updating. Structural reliability sensitivity calculation methods are well developed [16][17][18]. These publications have presented the efficient and accurate computational reliability sensitivity methods.…”

Section: Introductionmentioning

confidence: 99%

Reliability Sensitivity for Rotor–stator Systems With Rubbing

Zhang

Wen

Liu

2003

Journal of Sound and Vibration

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Section: Introductionmentioning

confidence: 99%

Reliability Sensitivity for Rotor–stator Systems With Rubbing

Zhang

Wen

Liu

2003

Journal of Sound and Vibration

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“…A set useful sensitivity analysis in system reliability has practical applications in reliability-based design, in optimization of structural design, construction, maintenance and inspection under reliability constraints, in parameter studies of the reliability, and in reliability updating. Structural reliability sensitivity calculation methods are well developed [1][2][3][4][5][6]. These publications have presented the efficient and accurate computational reliability sensitivity methods.…”

Section: Introductionmentioning

confidence: 99%

Vibration reliability sensitivity analysis of general system with correlation failure modes

Zhang

Zhao

2011

J Mech Sci Technol

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The vibration problem of the general system is the main object of research. The material properties and geometry of general system are random parameters because of the manufacturing environment, technical conditions, manufacturing and installation errors, multiphase materials, features and other factors. According to the relation criterion that the difference between the natural frequency and the driving frequency of general systems is not beyond a specific value, the vibration reliability mode and vibration reliability of general systems are defined considering the correlation of the multi-order natural frequency and the random characteristics of structure size and material, and the vibration reliability analysis method for avoiding the resonant is carried out. The second-order joint failure probability is obtained by using the numerical integration method. Based on the reliability design theory and sensitivity analysis method, the vibration reliability sensitivity of the general system with correlation failure modes is extensively discussed and a numerical method for vibration reliability sensitivity design is presented. The variation regularities of vibration reliability sensitivity are obtained and the effects of random parameters on vibration reliability of the general system are studied. The presented method provided the theoretic basis for the reliability design of the general system. A numerical example demonstrated that the proposed method is effective.

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“…Then Madsen [3], Bjerager [4] and Karamchandani [5] et al further studied that question. There was at present less research on the sensitivity of parameters of anchoring engineering in China.…”

Section: Introductionmentioning

confidence: 99%