scholarly journals Reliability-Based Robust Design of Mechanical Components with Correlated Failure Modes Based on Moment Method

2014 ◽  
Vol 6 ◽  
pp. 568451 ◽  
Author(s):  
Hao Lu ◽  
Yonghui He ◽  
Yimin Zhang
Keyword(s):  
Robust Design ◽  
System Reliability ◽  
Moment Method ◽  
System Analysis ◽  
Failure Modes ◽  
Copula Function ◽  
Engineering Practice ◽  
Reliability Sensitivity ◽  
Mechanical Components ◽  
Reliability Based Optimization

There are usually several potential failure modes in mechanical components. The conventional model for the system analysis is built under the condition that all failure modes are independent of each other. However, in engineering practice, failure modes are mostly dependent due to the fact that the elements involved in each failure mode are closely interrelated. System reliability analysis and evaluation simply conducted under independent assumption often result in excessive errors or even wrong conclusion. A novel method to evaluate system reliability of mechanical components with multiple failure modes based on moment method are proposed here. Firstly, the moment-based reliability and reliability sensitivity analysis method is proposed with independent assumption. Secondly, the proposed method is deduced by taking the correlation between failure modes into account and the correlation model is established with the copula function, which is proved to be a useful tool to model nonlinear correlation with marginal distributions. The robust design is performed as a biobjection optimization process based on the reliability sensitivity. The numerical examples show that the applied procedure is able to efficiently consider various failure modes of mechanical components in probabilistic assessment and reliability-based optimization.

An approach of robust reliability design for mechanical components

2005 ◽  
Vol 219 (3) ◽  
pp. 275-283 ◽  
Author(s):  
Y M Zhang ◽  
X D He ◽  
Q L Liu ◽  
B C Wen
Keyword(s):  
Robust Design ◽  
Design Method ◽  
Random Variables ◽  
Design Parameters ◽  
Theoretical Formula ◽  
Reliability Design ◽  
Reliability Sensitivity ◽  
Mechanical Components ◽  
Reliability Based Optimization ◽  
Robust Reliability

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.

Reliability Analysis of the Main-Shaft Device of a Hoist System with Coupling Faults

2017 ◽  
Vol 872 ◽  
pp. 286-292
Author(s):  
Hao Lu ◽  
Lei Wang ◽  
Chao Quan Tang
Keyword(s):  
System Reliability ◽  
Failure Modes ◽  
Joint Probability ◽  
Copula Function ◽  
Joint Probability Distribution ◽  
Fourth Moment ◽  
Main Shaft ◽  
Analysis And Design ◽  
Coupling Faults ◽  
Reliability Sensitivity

In this paper, the reliability and reliability sensitivity of the main shaft device of a hoist system is studied. The main purpose of this paper is to provide a modeling method for the joint probability distribution of main shaft device with coupling faults based on the system reliability theory and copula function theory. The stochastic response of the main shaft device is obtained using design of experiment. The reliability of the main shaft device is calculated based on the fourth moment method. The reliability sensitivity is then deduced based on the reliability results. The joint probability of failure between correlated failure modes is estimated based on the Gumbel copula. The system reliability evaluation of the main shaft device is then calculated. A numerical example of a main shaft device is illustrated to validate the application of the proposed method. The method proposed in this study can be provided for the analysis and design of the main shaft device of deep well hoist as a necessary theoretical basis.

Reliability-Based Robust Optimization Design for Rubbing Rotor System

2011 ◽  
Vol 105-107 ◽  
pp. 1100-1104
Author(s):  
Chang Qing Su ◽  
Le Xin Li ◽  
Yi Min Zhang
Keyword(s):  
Robust Design ◽  
Design Theory ◽  
Optimization Design ◽  
Design Method ◽  
Rotor System ◽  
Fourth Moment ◽  
Reliability Sensitivity ◽  
Robust Optimization Design ◽  
Reliability Based Optimization ◽  
First Four Moments

Based on the reliability-based optimization design theory, the reliability sensitivity technique and the robust design method, the reliability-based robust design of rubbing rotor system is extensively discussed and a numerical method for reliability-based robust design is proposed. The reliability sensitivity is added to the reliability-based optimization design model and the reliability-based robust design is described as a multi-objection optimization. On the condition of known first four moments of basic random variables, the respective program can be used to obtain the reliability-based robust design information of rubbing rotor system accurately and quickly using the fourth moment technique. According to the numerical results, the approach proposed is a convenient and practical reliability-based roust design method.

Robust Reliability Design of Banjo Flange With Arbitrary Distribution Parameters

2005 ◽  
Vol 127 (4) ◽  
pp. 408-413 ◽  
Author(s):  
Yimin Zhang ◽  
Xiangdong He ◽  
Qiaoling Liu ◽  
Bangchun Wen
Keyword(s):  
Robust Design ◽  
Design Parameters ◽  
Arbitrary Distribution ◽  
Reliability Design ◽  
Edgeworth Series ◽  
Reliability Sensitivity ◽  
Distribution Parameters ◽  
Reliability Based Optimization ◽  
First Four Moments ◽  
Robust Reliability

The perturbation method, the Edgeworth series, the reliability-based optimization, the reliability sensitivity technique, and the robust design are employed to present a practical and effective approach for the robust reliability design of the Banjo flange with arbitrary distribution parameters on the condition of known first four moments of original random variables. The theoretical formulas of robust reliability design for the Banjo flange with arbitrary distribution parameters are obtained. The respective program can be used to obtain the robust reliability design parameters of the Banjo flange with arbitrary distribution parameters accurately and quickly.

Dynamic reliability-based robust optimization design for a torsion bar

2008 ◽  
Vol 223 (2) ◽  
pp. 483-490 ◽  
Author(s):  
X-G Wang ◽  
Y-M Zhang ◽  
B-Y Wang
Keyword(s):  
Robust Optimization ◽  
Optimization Design ◽  
Computational Method ◽  
Random Load ◽  
Dynamic Reliability ◽  
Reliability Sensitivity ◽  
Robust Optimization Design ◽  
Mechanical Components ◽  
Reliability Based Optimization ◽  
Torsion Bar

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.

Reliability-based robust design optimization using anchored ANOVA expansion and truncated Edgeworth series approximation

2017 ◽  
Vol 232 (4) ◽  
pp. 408-417
Author(s):  
Hao Lu ◽  
Zhencai Zhu
Keyword(s):  
Design Optimization ◽  
Robust Design ◽  
Moment Method ◽  
Optimization Procedure ◽  
Robust Design Optimization ◽  
Reliability Based Design Optimization ◽  
Reliability Based Design ◽  
Edgeworth Series ◽  
Reliability Sensitivity ◽  
The Moment

Based on the basic concept of reliability-based design optimization and robust design optimization, a reliability-based robust design optimization is achieved with the moment method in this work. At the first step, two methods, i.e. the anchored ANOVA expansion and truncated Edgeworth series approximation, are combined to solve the reliability constraints in the optimization procedure. The computational effort of the reliability analysis involved in the reliability-based design optimization is then reduced by the moment method. The reliability-based robust design optimization is then formulated by introducing the reliability sensitivity into the reliability-based design optimization as a sub-objective function, which is derived based on the truncated Edgeworth series expansion. The numerical examples illustrate the effectiveness and applicability of the proposed methodology and that the moment-based reliability-based robust design optimization satisfies (1) the reliability target of each constraint and (2) the minimum reliability sensitivity with respect to the mean value of the input random variables. The proposed reliability-based robust design optimization procedure could be applied to the product design under uncertain environment.

Reliability-Based Robust Optimization Design for Lattice Tower Structure

2011 ◽  
Vol 201-203 ◽  
pp. 1312-1316
Author(s):  
Xin Jiang ◽  
Hui Jian Li ◽  
Bai Feng Gao ◽  
Xi Liang
Keyword(s):  
Robust Optimization ◽  
Robust Design ◽  
Optimization Design ◽  
Design Method ◽  
Design Model ◽  
Reliability Sensitivity ◽  
Tower Structure ◽  
Robust Optimization Design ◽  
Lattice Tower ◽  
Reliability Based Optimization

Reliability Analysis is applied into tower structural design and influence of uncertain factors is considered into the design. The reliability robust optimization mathematical model of tower structure is established by combining the reliability optimization designing theory with the robust design method and injecting reliability sensitivity into the design model. The reliability sensitivity is added to the reliability-based optimization design model and the stiffness reliability-based robust design is reduced to a multi-objection optimization. Take the lattice tower structure for example, after designing, it shows not only lighter weigh, saving in material, simplifying construction, but also improving its safety and stability. The example proves the method to be effective.

Reliability-Based Optimization Robust Design of Electronic System

2008 ◽  
Vol 44-46 ◽  
pp. 725-732
Author(s):  
T.X. Zhang
Keyword(s):  
Sensitivity Analysis ◽  
Robust Design ◽  
Mathematic Model ◽  
Electronic System ◽  
Reliability Design ◽  
Reliability Sensitivity ◽  
Reliability Sensitivity Analysis ◽  
The Mean ◽  
Reliability Based Optimization ◽  
The Cost

The theory of reliability sensitivity analysis and reliability-based optimization robust design are extended to discuss the reliability design of electronic system. Firstly, a method of measuring the relative importance (sensitivity analysis) of each element of system is studied. And then, after establishing the mathematic model for reliability optimization, a procedure for robust design is examined. Finally, a numeric example is presended to illustrate the procedure of sensitivity analysis and robust design. After optimization, the mean life of system has increased than before, and the cost has been greatly reduced; on the other hand, the sensitivity of system reliability to the mean life of components also has decreased. The result shows that the proposed methodology is useful for system design and quality improvement.

Reliability-Based Optimization and Robust Design of a Coil Tube-Spring with Non-Normal Distribution Parameters

2005 ◽  
Vol 219 (6) ◽  
pp. 567-575 ◽  
Author(s):  
Y. M. Zhang ◽  
X. D. He ◽  
Q. L. Liu ◽  
B. C. Wen
Keyword(s):  
Normal Distribution ◽  
Robust Design ◽  
Design Method ◽  
Design Parameters ◽  
Edgeworth Series ◽  
Reliability Sensitivity ◽  
Distribution Parameters ◽  
Reliability Based Optimization ◽  
Robust Design Method ◽  
First Four Moments

This paper proposes the application of reliability-based optimization and robust design methods of a coil tube-spring. The perturbation method, the Edgeworth series, the reliability-based optimization, the reliability sensitivity technique, and the robust design method are employed to present practical and effective approaches of reliability-based optimization and robust design for coil tube-spring with non-normal distribution parameters, on the condition of the known first four moments of the original random variables. Theoretical formulae for reliability-based optimization and robust design are obtained. The respective programmes can be used to obtain the reliability-based optimization and robust design parameters of a coil tube-spring with non-normal distribution parameters accurately and quickly.

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