Reliability-Based Sensitivity Design of Mechanical Components with Arbitrary Distribution Parameters

2008 ◽  
Vol 44-46 ◽  
pp. 885-892
Author(s):  
Zhou Yang ◽  
Yi Min Zhang ◽  
Li Sha Zhu
Keyword(s):  
Sensitivity Analysis ◽  
Random Parameter ◽  
Design Parameters ◽  
Arbitrary Distribution ◽  
Fourth Moment ◽  
Analysis Method ◽  
Mechanical Joints ◽  
Reliability Sensitivity ◽  
Sensitivity Analysis Method ◽  
Distribution Parameters

In the reliability-based analysis of mechanical joints, as each factor has different effect on the failure of mechanical joints, the effects of design parameters on reliability of the mechanical joints are determined with the reliability-based sensitivity analysis method. Furthermore, the reliability of mechanical joints can be effectively designed. As a matter of fact, if a change of a certain random parameter has great effect on the reliability of mechanical joints, the parameter must be strictly controlled in the course of design and manufacture to ensure reliability. Whereas if a change of a certain random parameter has unobvious effect on the reliability of mechanical joints, it can be treated as a deterministic value to reduce the complexity of the analysis. In this paper, based on the reliability design theory, the sensitivity analysis method and the fourth moment technique, the reliability sensitivity of the mechanical joints with arbitrary distribution parameters is extensively discussed and a numerical method for reliability sensitivity design is presented. The variation regularities of reliability sensitivity are obtained and the effects of design parameters on reliability of the mechanical joints are studied. The method presented in this paper provides reasonable and necessary reliability basis for the design, manufacture, use and evaluation of the mechanical joints.

Reliability-Based Sensitivity Design of Beam Structure with Non-Normal Distribution

2007 ◽  
Vol 353-358 ◽  
pp. 2459-2462
Author(s):  
Xiang Dong He ◽  
Yi Min Zhang ◽  
Yu Chun Xue ◽  
Bang Chun Wen
Keyword(s):  
Sensitivity Analysis ◽  
Normal Distribution ◽  
Design Theory ◽  
Design Parameters ◽  
Analysis Method ◽  
Beam Structure ◽  
Reliability Based Design ◽  
Reliability Sensitivity ◽  
Sensitivity Analysis Method ◽  
Distribution Parameters

Based on the reliability-based design theory and sensitivity analysis method, the reliability-based sensitivity design of beam structure with non-normal distribution parameters is extensively researched and a numerical method for reliability-based sensitivity design is presented. The variation regularities of reliability sensitivity are obtained and the effects of design parameters on reliability of beam structure are studied. The method presented in this paper provided the theoretic basis for the reliability-based design of beam structure with non-normal distribution parameters.

A Fast Approximate Method for Reliability Sensitivity Based on Markov Chain Simulation

2007 ◽  
Vol 353-358 ◽  
pp. 1005-1008
Author(s):  
Xiu Kai Yuan ◽  
Zhen Zhou Lu
Keyword(s):  
Sensitivity Analysis ◽  
Monte Carlo ◽  
Markov Chain ◽  
Weighted Regression ◽  
Analysis Method ◽  
Reliability Sensitivity ◽  
Reliability Sensitivity Analysis ◽  
Failure Region ◽  
Sensitivity Analysis Method ◽  
Distribution Parameters

On the basis of Markov chain simulation, an efficient method is presented to analyze reliability sensitivity of structure. In the presented method, Markov chain is employed to draw the samples distributed in the failure region, and these samples are fitted in a form of hyperplane by the weighted regression. By use of the regressed hyperplane, it is convenient to complete the sensitivities of the failure probability with respect to the distribution parameters of basic random variables by the available method. The presented method is applied to some examples to validate its accuracy and efficiency. The obtained results show that the presented reliability sensitivity analysis method is far more efficient than Monte Carlo based method.

Dynamic Reliability Sensitivity Design of Cutting Tool with Arbitrary Distribution Parameters

2013 ◽  
Vol 816-817 ◽  
pp. 201-205
Author(s):  
Xin Gang Wang ◽  
Bao Yan Wang ◽  
Chang You Li ◽  
Chun Mei Lv
Keyword(s):  
Cutting Tool ◽  
Theoretical Data ◽  
Computational Method ◽  
Design Parameters ◽  
Arbitrary Distribution ◽  
Random Load ◽  
Reliability Design ◽  
Dynamic Reliability ◽  
Reliability Sensitivity ◽  
Distribution Parameters

The variation rules of strength, load, and reliability of cutting tool are studied with a change in time, and a model is established for dynamic reliability of cutting tool under the random load acting. By combining the theory of reliability design with the method of sensitivity analysis, the computational method of dynamic reliability sensitivity design with arbitrary distribution parameter is proposed based on the methods Edgeworth and perturbation, and the problem of dynamic reliability sensitivity design of cutting tool distributed arbitrary distribution is solved as well as the variation rules of dynamic reliability sensitivity are given. The variation of reliability is studied as design parameters change a little, which provides theoretical data for dynamic reliability design of cutting tool

scholarly journals Fatigue Reliability Sensitivity Analysis of Complex Mechanical Components under Random Excitation

2011 ◽  
Vol 2011 ◽  
pp. 1-17 ◽  
Author(s):  
Hao Lu ◽  
Yimin Zhang ◽  
Xufang Zhang ◽  
Xianzhen Huang
Keyword(s):  
Sensitivity Analysis ◽  
Random Excitation ◽  
Design Parameters ◽  
State Function ◽  
Fourth Moment ◽  
Fatigue Reliability ◽  
Random Load ◽  
Reliability Sensitivity ◽  
Reliability Sensitivity Analysis ◽  
Mechanical Components

Fatigue failure is the typical failure mode of mechanical components subjected to random load-time history. It is important to ensure that the mechanical components have an expected life with a high reliability. However, it is difficult to reduce the influence of factors that affect the fatigue reliability and thus a reliability sensitivity analysis is necessary. An approach of fatigue reliability sensitivity analysis of complex mechanical components under random excitation is presented. Firstly, load spectra are derived using a theoretical method. A design of experiment (DOE) is performed to study the stresses of dangerous points according to the change of design parameters of the mechanical component. By utilizing a Back-Propagation (BP) algorithm, the explicit function relation between stresses and design parameters is formulated and thus solves the problem of implicit limit state function. Based on the damage accumulation (DA) approach, the probability perturbation method, the fourth-moment method, the Edgeworth expansion is adopted to calculate the fatigue reliability and reliability-based sensitivity. The fatigue reliability sensitivity analysis of a train wheel is performed as an example. The results of reliability are compared with that obtained using Monte Carlo simulation. The reliability sensitivity of design parameters in the train wheel is analyzed.

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 Sensitivity Design of Mechanical Components with Arbitrary Distribution Parameters

2011 ◽  
Vol 199-200 ◽  
pp. 487-494
Author(s):  
Xin Gang Wang ◽  
Bao Yan Wang ◽  
Li Sha Zhu ◽  
Hao Lu
Keyword(s):  
Theoretical Data ◽  
Computational Method ◽  
Design Parameters ◽  
Arbitrary Distribution ◽  
Random Load ◽  
Reliability Design ◽  
Dynamic Reliability ◽  
Reliability Sensitivity ◽  
Distribution Parameters ◽  
Mechanical Components

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. By combining the theory of reliability design with the method of sensitivity analysis, the computational method of dynamic reliability sensitivity design with arbitrary distribution parameter is proposed based on the methods Edgeworth and perturbation, and the problem of dynamic reliability sensitivity design of mechanical components distributed arbitrary distribution is solved as well as the variation rules of dynamic reliability sensitivity are given. The variation of reliability is studied as design parameters change a little, which provides theoretical data for dynamic reliability design of mechanical components.

Extending the global reliability sensitivity analysis to the systems under double-stochastic uncertainty

2018 ◽  
Vol 22 (3) ◽  
pp. 626-640 ◽  
Author(s):  
Wenxuan Wang ◽  
Hangshan Gao ◽  
Changcong Zhou
Keyword(s):  
Sensitivity Analysis ◽  
Stochastic System ◽  
Dynamic Strength ◽  
Point Estimation ◽  
Coupling Mechanism ◽  
Analysis Method ◽  
Reliability Sensitivity ◽  
Reliability Sensitivity Analysis ◽  
Sensitivity Analysis Method ◽  
Global Reliability Sensitivity

Systems with random variables and random excitations exist widely in various engineering problems. Extending the traditional global reliability sensitivity to this double-stochastic system has important guiding significance for its design optimization. However, because there is a certain coupling between the randomness of variables and the randomness of excitation, this coupling mechanism is difficult to determine in practical projects. Therefore, it is difficult to extend the traditional reliability sensitivity analysis method to this double-stochastic system. In this research, it is assumed that there is no correlation between variables and excitations. Then, combining the first-passage method–based dynamic strength formula and the variance-based sensitivity analysis method, an approximate global reliability sensitivity analysis method for this double-stochastic system is proposed. In order to improve the computational efficiency, a nested loop method based on seven-point estimation is proposed for reliability sensitivity analysis. In order to verify the accuracy and efficiency of the proposed method, a Monte Carlo simulation is given as a reference. Three examples are studied and discussed to illustrate the practicality and feasibility of the proposed method.

Reliability-Based Sensitivity Design of Gear Pairs with Non-Gaussian Random Parameters

2011 ◽  
Vol 121-126 ◽  
pp. 3411-3418 ◽  
Author(s):  
Zhou Yang ◽  
Yi Min Zhang ◽  
Xu Fang Zhang ◽  
Xian Zhen Huang
Keyword(s):  
Design Theory ◽  
Design Parameters ◽  
Analysis Method ◽  
Random Parameters ◽  
Cylindrical Gear ◽  
Reliability Design ◽  
Edgeworth Series ◽  
Reliability Sensitivity ◽  
Sensitivity Analysis Method ◽  
Non Gaussian

Based on reliability design theory, by using the Edgeworth series method, and the sensitivity analysis method, the reliability sensitivity of the cylindrical gear pairs with non-Gaussian random parameters are extensively discussed and a numerical method for reliability sensitivity design is presented. The variation regularities of reliability sensitivity are obtained and the effects of design parameters on reliability of the cylindrical gear pairs are studied. The presented method provides the theoretic basis for reliability design of cylindrical gear pairs.

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