An optimization method for brake instability reduction with fuzzy-boundary interval variables

Author(s):  
Hui Lü ◽  
Qianlang Feng ◽  
Zicheng Cai ◽  
Wen-Bin Shangguan

In some special engineering circumstances, it is likely that all parameters of an uncertain automotive structure can only be treated as interval variables due to limited knowledge, but meanwhile their lower and upper bounds can just be modeled as fuzzy variables rather than as deterministic values due to ambiguous information. To handle this dual uncertainties case, a reliability-based optimization method with fuzzy-boundary interval variables is developed in this study, and it is further extended to carry out squeal instability analysis and reduction of brake involving both limited and vague information. In the proposed method, fuzzy-boundary interval variables are utilized to cope with the above dual uncertainties of structure parameters and help to build up the structure response analysis model. First, the structure responses are derived on the basis of α-cut strategy, Taylor series expansion, subinterval analysis, and central difference method. Then, with the aid of fuzzy possibility theory, a reliability analysis model of structure response is developed, which can make use of extra reliability information and thus quantify the reliability more accurately. Next, a reliability-based optimization model involving fuzzy-boundary interval variables is established by integrating the uncertain response analysis model and the reliability analysis model. Finally, the proposed method is extended to carry out automotive brake squeal instability analysis and optimization. The numerical investigations demonstrate the applicability and effectiveness of the proposed method.

2014 ◽  
Vol 898 ◽  
pp. 363-366
Author(s):  
Xin Dang He ◽  
Wen Xuan Gou ◽  
Zong Zhan Gao ◽  
Yao Li ◽  
Fei Gao

This paper aims to study the problem of residual life prediction and non-probabilistic reliability analysis for pipeline subjected to corrosion. Based on corrosion pipe bursting equation, the remaining life non-probabilistic reliability analysis model of corrosion pipeline with interval variables was established. The sequential quadratic programming method has been used for solving the non-probabilistic reliability index of corrosion pipes under different service years. Then the relationship curve of the service life and the remaining life reliability of the pipeline corrosion were given. Using the finite difference method, the parameters sensitivity analysis of corrosion piping reliability was performed.


2011 ◽  
Vol 128-129 ◽  
pp. 1197-1201
Author(s):  
Pin Chang Zhu ◽  
Gang Feng Tan

There are problems with the tailpipe hook when the car is in durability test. In the paper, the exhaust system vibration analysis model is built first. It is found that the constraint force on the tailpipe hook which is cracked is bigger and the local stiffness is lower according to the frequency response analysis. After the structure optimization, the stiffness of the tailpipe hook is strengthened. Both the comparative analysis and idling test show that the optimized hook could explicitly reduce the vibration of the exhaust system which transfers to the car floor and improve the fatigue life of the exhaust system. The optimization method could be used for the similar fatigue problems.


Algorithms ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 229
Author(s):  
Fangyi Li ◽  
Yufei Yan ◽  
Jianhua Rong ◽  
Houyao Zhu

In practical engineering, due to the lack of information, it is impossible to accurately determine the distribution of all variables. Therefore, time-variant reliability problems with both random and interval variables may be encountered. However, this kind of problem usually involves a complex multilevel nested optimization problem, which leads to a substantial computational burden, and it is difficult to meet the requirements of complex engineering problem analysis. This study proposes a decoupling strategy to efficiently analyze the time-variant reliability based on the mixed uncertainty model. The interval variables are treated with independent random variables that are uniformly distributed in their respective intervals. Then the time-variant reliability-equivalent model, containing only random variables, is established, to avoid multi-layer nesting optimization. The stochastic process is first discretized to obtain several static limit state functions at different times. The time-variant reliability problem is changed into the conventional time-invariant system reliability problem. First order reliability analysis method (FORM) is used to analyze the reliability of each time. Thus, an efficient and robust convergence hybrid time-variant reliability calculation algorithm is proposed based on the equivalent model. Finally, numerical examples shows the effectiveness of the proposed method.


2012 ◽  
Vol 24 ◽  
pp. 2286-2292 ◽  
Author(s):  
Haijun Chen ◽  
Xijuan Lou

2012 ◽  
Vol 446-449 ◽  
pp. 458-462
Author(s):  
Jie Hu ◽  
Jia Quan Feng ◽  
Xi Nong Zhang

This paper proposed a simplified modeling method of reinforced concrete based on the equivalence of dynamic stiffness, the parameters of simplified model were modified to make the error of nature frequency between reference model and simplified model as small as possible, and an appropriate optimization function was designed. The essentiality of the proposed method is parameter optimization, with the advantages such as fewer elements and calculation assumption. The numerical simulation result indicated that this optimization method is suitable for the dynamic response analysis of complicated reinforced concrete structure.


2015 ◽  
Vol 12 (04) ◽  
pp. 1540006 ◽  
Author(s):  
C. Jiang ◽  
J. Zheng ◽  
B. Y. Ni ◽  
X. Han

This paper proposes a probability-interval mixed uncertainty model considering parametric correlations and a corresponding structural reliability analysis method. First of all, we introduce the sample correlation coefficients to express the correlations between different kinds of uncertain variables including probability and interval variables. Then dependent parameters are transformed into independent ones through a matrix transformation. A reliability analysis model is put forward, and an efficient method is built to obtain the reliability index or failure probability interval of the structure. Finally, four numerical examples are provided to verify the validity of the method.


2013 ◽  
Vol 663 ◽  
pp. 87-91
Author(s):  
Ying Bo Pang

As an effective way of passive damping, isolation technology has been widely used in all types of building structures. Currently, for its theoretical analysis, it usually follows the rigid foundation assumption and ignores soil-structure interaction, which results in calculation results distortion in conducting seismic response analysis. In this paper, three-dimensional finite element method is used to establish finite element analysis model of large chassis single-tower base isolation structure which considers and do not consider soil-structure interaction. The calculation results show that: after considering soil-structure interaction, the dynamic characteristics of the isolation structure, and seismic response are subject to varying degrees of impact.


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