Reliability-based sensitivity of mechanical components with arbitrary distribution parameters

Zhang, Yimin; He, Xiaocong; Yang, Zhou; Liu, Qiaoling; Wen, Bangchun

doi:10.1007/s12206-010-0334-3

Cited by 15 publications

(15 citation statements)

References 15 publications

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“…Generate N (N = 10,000) samples in the 1201-D standard normal space, and the polar features of each sample are calculated by means of equations (5) and (6). The samples are then mapped to a 2D plot as shown in Figure 2 with their class labels calculated by calling the limit state function (12). It can be seen that there is a visual discrimination between the two classes of samples and the failure class samples are in the upper region of the plot, which is compatible with the conclusion of the study by Hurtado.…”

Section: Duffing Oscillator Subjected To White Noisementioning

confidence: 99%

Study on the application of dimensionality reduction method on reliability and reliability sensitivity analysis of random vibration systems

Sun

Yan

et al. 2015

Advances in Mechanical Engineering

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The application of dimensionality reduction method on the reliability and reliability sensitivity analysis of vibration systems was examined. The dimensionality of a vibration reliability problem was reduced to only two independent dimensions by the means of polar transformation. As the safe and failure classes of samples are clearly distinguishable and occupy a standard position in a two-dimensional plot in the case that the important direction exists, the relevant samples are selected visually. The reliability and reliability sensitivity problems were solved using the position of the relevant samples. Before the reliability and reliability sensitivity estimation, an essential visualization analysis is conducted to examine the capacity of the method in terms of the existence of the important direction which is used to reduce the dimensionality of the reliability problem. In order to calculate the design point correctly, the improved Hasofer-Lind-RackwitzFiessler method was extended with a procedure for determining the perturbation in the calculation of the gradient vector by finite differences according to the numerical precision of the limit state function. The dimensionality reduction method saves the numbers of calling limit state function a lot and has the same accuracy as Monte Carlo method. Examples involving single and multiple degree-of-freedom nonlinear vibration systems were used to demonstrate the approach.

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Section: Duffing Oscillator Subjected To White Noisementioning

confidence: 99%

Study on the application of dimensionality reduction method on reliability and reliability sensitivity analysis of random vibration systems

Sun

Yan

et al. 2015

Advances in Mechanical Engineering

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“…The reliability sensitivity curves with the forcing frequency (Ω) are depicted in Figs. [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In order to find the variation of reliability sensitivity, in figures there are some key points in x direction (Ω), those are (1-γ) u ωx , u ωx , (1＋γ) u ωx , (1-γ) u ωy , u ωy and (1+γ) u ωy .…”

Section: Numerical Examplementioning

confidence: 99%

“…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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“…The reliability-based sensitivity method is not applicable due to the lack of the direct nonlinear performance function of random variables. 21 GA can be widely used for the synthesis of mechanism but is less attractive for the reliability optimization.…”

mentioning

confidence: 99%

A moment estimation–based method for the path planning of manipulators with kinematic system reliability constraints

Wang

et al. 2019

Advances in Mechanical Engineering

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Since the path planning plays a significant role in the manipulator's control, the system reliability evaluation and optimization for path planning are studied with consideration of the joint clearance. A simple moment estimation-based method is proposed; a linear performance function is first established using the extreme value distribution theory. Based on the maximum entropy principle, the first four moments of variables are utilized to derive a best-fit probability density function to feature the characteristics of the system distribution rather than an empirical assumption of the normality. To meet the system reliability criterion constraints, a sensitivity analysis is conducted using the direct linearization method. With modification in the tolerance of sensitive parameters, the reliability can be improved efficiently. Traditional methods, such as the first-order second moment method, the first-order reliability method, and Monte Carlo simulation, are popular in this research field and therefore they are applied as benchmark methods for comprehensive comparisons in the accuracy and efficiency. A typical serial manipulator is applied as an example to validate the feasibility of our proposed method.

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Reliability-based sensitivity of mechanical components with arbitrary distribution parameters

Cited by 15 publications

References 15 publications

Study on the application of dimensionality reduction method on reliability and reliability sensitivity analysis of random vibration systems

Study on the application of dimensionality reduction method on reliability and reliability sensitivity analysis of random vibration systems

Vibration reliability sensitivity analysis of general system with correlation failure modes

A moment estimation–based method for the path planning of manipulators with kinematic system reliability constraints

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