• Title/Summary/Keyword: Reliability Method

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Barrier Function Method in Reliability Based Design Optimization (장애함수법에 의한 신뢰성기반 최적설계)

  • Lee, Tae-Hee;Choi, Woon-Yong;Kim, Hong-Sun
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1130-1135
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    • 2003
  • The need to increase the reliability of a structural system has been significantly brought in the procedure of real designs to consider, for instance, the material properties or geometric dimensions that reveal a random or incompletely known nature. Reliability based design optimization of a real system now becomes an emerging technique to achieve reliability, robustness and safety of these problems. Finite element analysis program and the reliability analysis program are necessary to evaluate the responses and the probabilities of failure of the system, respectively. Moreover, integration of these programs is required during the procedure of reliability based design optimization. It is well known that reliability based design optimization can often have so many local minima that it cannot converge to the specified probability of failure. To overcome this problem, barrier function method in reliability based design optimization is suggested. To illustrate the proposed formulation, reliability based design optimization of a bracket is performed. AMV and FORM are employed for reliability analysis and their optimization results are compared based on the accuracy and efficiency.

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An Enhanced Investment Priority Decision of Facilities Considering Reliability of Distribution Networks

  • Choi Jung-Hwan;Park Chang-Ho;Kim Kwang-Ho;Jang Sung-Il
    • KIEE International Transactions on Power Engineering
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    • v.5A no.3
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    • pp.260-268
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    • 2005
  • This paper proposes an improved investment pnonty decision method of facilities considering the reliability of distribution networks. The proposed method decides an investment order of the facilities combining, by fuzzy rules, the investment priority decision by KEPCO and that by reliability evaluation indices. The reliability evaluation indices are SAIFI (System Average Interruption Frequency Index) and SAIDI (System Average Interruption Duration Index). The reliability analysis method of distribution networks applied in this paper utilizes the analytic method, where the used reliability data is the historical data of KEPCO. Particularly, we assumed that the failure rate increases as the equipment ages. To verify the performance of the proposed method, we applied it with the planned projects to reinforce the weak electrical facilities in KEPCO in 2004. The evaluation result showed that, under a limited budget, the reliability of KEPCO in the Busan region using the proposed method could be enhanced if used rather than the conventional method typically in place. Therefore, the results verify that the proposed method can be efficiently used in the actual priorities method for investing in the electrical facilities.

Reliability Study of Measuring Range of Motion Glenohumeral Joint Internal Rotation With Pressure Biofeedback Stabilization

  • Hwang, Ui-jae;Ha, Sung-min;Jeon, In-chul;Jung, Sung-hoon;Choi, Kyu-hwan;Kim, Su-jung;Kwon, Oh-yun
    • Physical Therapy Korea
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    • v.22 no.4
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    • pp.62-70
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    • 2015
  • The aims of the current study were to assess reliability of range of motion (ROM) measurement of glenohumeral internal rotation (GIR) with a pressure biofeedback stabilization (PBS) method and to compare the reliability between manual stabilization (MS) and the PBS method. In measurement of pure glenohumeral joint motion, scapular stabilization is necessary. The MS method in GIR ROM measurement was used to restrict scapular motion by pressing the palm of the tester's hand over the subject's clavicle, coracoid process, and humeral head. The PBS method was devised to maintain consistent pressure for scapular stabilization during GIR ROM measurement by using a pressure biofeedback unit. GIR ROM was measured by 2 different stabilization methods in 32 subjects with GIR deficit using a smartphone clinometer application. Repeated measurements were performed in two test sessions by two testers to confirm inter- and intra-rater reliability. After tester A performed measurements in test session 1, tester B's measurements were conducted one hour later on the same day to assess the inter-rater reliability and then tester A performed again measurements in test session 2 for confirming the intra-rater reliability. Intra-class correlation coefficient (ICC) (2,1) was applied to assess the inter-rater reliability and ICC (3,1) was applied to determine the intra-rater reliability of the two methods. In the PBS method, the intra-rater reliability was excellent (ICC=.91) and the inter-rater reliability was good (ICC=.84). The inter-rater and intra-rater reliability of the PBS method was higher than in the MS method. The PBS method could regulate manual scapular stabilization pressure in inter- and intra-rater measuring GIR ROM. Results of the current study recommend that the PBS method can provide reliable measurement data on GIR ROM.

Optimization of SMES Windings Utilizing the First-Order Reliability Method (일차근사신뢰도법을 이용한 초전도 자기에너지 저장장치 권선 최적설계)

  • Kim, Dong-Wook;Jung, Sang-Sik;Sung, Young-Hwa;Kim, Dong-Hun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.7
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    • pp.1354-1359
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    • 2011
  • This paper presents a novel methodology for improving the reliability of electromagnetic devices and machines based on the reliability-based design optimization method. To achieve this, the method includes reliability analysis and optimization process taking into account uncertainties of design variables. One of the first-order reliability analysis techniques, called reliability index approach, is adopted to evaluate the reliability of performance functions with respect to probabilistic design variables. The proposed method has been successfully applied to designing a superconducting magnetic energy storage system. For verifying the efficiency and accuracy of the method, the results are compared with those of conventional optimization methods.

Flutter reliability analysis of suspension bridges based on multiplicative dimensional reduction method

  • Guo, Junfeng;Zheng, Shixiong;Zhang, Jin;Zhu, Jinbo;Zhang, Longqi
    • Wind and Structures
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    • v.27 no.3
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    • pp.149-161
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    • 2018
  • A reliability analysis method is proposed in this paper based on the maximum entropy (MaxEnt) principle in which constraints are specified in terms of the fractional moments instead of integer moments. Then a multiplicative dimensional reduction method (M-DRM) is introduced to compute the fractional moments. The method is applicable for both explicit and implicit limit state functions of complex structures. After two examples illustrate the accuracy and efficiency of this method in comparison to the Monte Carlo simulation (MCS), the method is used to analyze the flutter reliability of suspension bridge. The results show that the empirical formula method in which the limit state function is explicitly represented as a function of variables is only a too conservative estimate for flutter reliability analysis but is not accurate adequately. So it is not suitable for reliability analysis of bridge flutter. The actual flutter reliability analysis should be conducted based on a finite element method in which limit state function is implicitly represented as a function of variables. The proposed M-DRM provide an alternate and efficient way to analyze a much more complicated flutter reliability of long span suspension bridge.

Reliability Analysis on the Decision Method of Lateral Flow of Foundation Piles for Abutment (교대 기초말뚝의 측방유동 판정식에 관한 신뢰성 해석)

  • Ahn, Jong-Pil;Kim, Gyu-Deok;Kim, Il-Goo;Choi, Jin-Ho
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.10a
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    • pp.1090-1097
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    • 2008
  • This study conducted the decision method of lateral flow in abutment structures founded on the soft soils and the reliability analysis on the foundation pile for abutment. On the basis of the results, this study proposed the reliability design model. Reliability analysis was conducted by applying second moment method, point estimation method, and expected total cost minimization to lateral movement index, lateral movement decision index, modified lateral movement decision index, and circular failure safety factor for the decision criteria of lateral flow. The reliability index by analysis method had a similar tendency each other. Point estimation method was found as a practical method in the aspect of convenience because it could conduct the analysis only by mean and standard deviation as well as the partial derivative on random variables was not necessary. Optimum reliability index and optimum safety according to increasing in failure factors and load ratio were analyzed and loads and resistance factors of the design criteria of optimum reliability were estimated. It presented rational design model which can consider construction level and stability and economical efficiency overall.

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A New Sensitivity-Based Reliability Calculation Algorithm in the Optimal Design of Electromagnetic Devices

  • Ren, Ziyan;Zhang, Dianhai;Koh, Chang Seop
    • Journal of Electrical Engineering and Technology
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    • v.8 no.2
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    • pp.331-338
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    • 2013
  • A new reliability calculation method is proposed based on design sensitivity analysis by the finite element method for nonlinear performance constraints in the optimal design of electromagnetic devices. In the proposed method, the reliability of a given design is calculated by using the Monte Carlo simulation (MCS) method after approximating a constraint function to a linear one in the confidence interval with the help of its sensitivity information. The validity and numerical efficiency of the proposed sensitivity-assisted MCS method are investigated by comparing its numerical results with those obtained by using the conventional MCS method and the first-order reliability method for analytic functions and the TEAM Workshop Problem 22.

Application of inverse reliability method to estimation of cable safety factors of long span suspension bridges

  • Cheng, Jin;Xiao, Ru-Cheng
    • Structural Engineering and Mechanics
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    • v.23 no.2
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    • pp.195-207
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    • 2006
  • An efficient and accurate algorithm is proposed to estimate cable safety factor of suspension bridges satisfying prescribed reliability levels. Uncertainties in the structure and load parameters are incorporated. The proposed algorithm integrates the concepts of the inverse reliability method and deterministic method for assessing cable safety factors of suspension bridges. The unique feature of the proposed method is that it offers a tool for cable safety assessment of suspension bridges, when the reliability level is specified as a target to be satisfied by the designer. After the accuracy and efficiency of the method are demonstrated through two numerical examples, the method is used to estimate cable safety factors of suspension bridges with span length ranging from 2000 to 5000 m. The results show that the deterministic method overestimates cable safety factor of suspension bridges because of neglecting the parameter uncertainty effects. The actual cable safety factor of suspension bridges should be estimated based on the proposed method.

Design Method of Multi-Stage Gear Drive (Volume Minimization and Reliability Improvement) (다단 기어장치의 설계법(체적 감소 및 신뢰성 향상))

  • Park, Jae-Hee;Lee, Joung-Sang;Chong, Tae-Hyong
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.4
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    • pp.36-44
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    • 2007
  • This paper is focused on the optimum design for decreasing volume and increasing reliability of multi-stage gear drive. For the optimization on volume and reliability, multi-objective optimization is used. The genetic algorithm is introduced to multi-objective optimization method and it is used to develop the optimum design program using exterior penalty function method to solve the complicated subject conditions. A 5 staged gear drive(geared motor) is chosen to compare the result of developed optimum design method with the existing design. Each of the volume objective, reliability objective, and volume-reliability multi-objectives are performed and compared with existing design. As a result, optimum solutions are produced, which decrease volume and increase reliability. It is shown that the developed design method is good for multi-stage gear drive design.

Reliability-based Shape Optimization Using Growth Strain Method (성장-변형률법을 이용한 신뢰성 기반 형상 최적화)

  • Oh, Young-Kyu;Park, Jae-Yong;Im, Min-Gyu;Park, Jae-Yong;Han, Seog-Young
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.5
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    • pp.637-644
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    • 2010
  • This paper presents a reliability-based shape optimization (RBSO) using the growth-strain method. An actual design involves uncertain conditions such as material property, operational load, Poisson's ratio and dimensional variation. The purpose of the RBSO is to consider the variations of probabilistic constraint and performances caused by uncertainties. In this study, the growth-strain method was applied to shape optimization of reliability analysis. Even though many papers for reliability-based shape optimization in mathematical programming method and ESO (Evolutionary Structural Optimization) were published, the paper for the reliability-based shape optimization using the growth-strain method has not been applied yet. Growth-strain method is applied to performance measure approach (PMA), which has probabilistic constraints that are formulated in terms of the reliability index, is adopted to evaluate the probabilistic constraints in the change of average mises stress. Numerical examples are presented to compare the DO with the RBSO. The results of design example show that the RBSO model is more reliable than deterministic optimization. It was verified that the reliability-based shape optimization using growth-strain method are very effective for general structure. The purpose of this study is to improve structure's safety considering probabilistic variable.