• Title/Summary/Keyword: product of distributions

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Experimental Study on the Conventional Spinning of Cylindrical Steel Cups (원통형 컵에 대한 강판의 Conventional 스피닝의 실험 연구)

  • 이항수
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.274-277
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    • 2003
  • The purpose of this study is preparing the database for conventional spinning of the steel sheets which are applied into the mechanical parts such as wheel disc and driving clutch drums. The experimental work for the conventional spinning of cylindrical typed shell has been carried out and the database for limiting spinning ratios, suing-back and thickness distributions has been obtained. The working conditions are categorized for the feeding velocity and dimension of rotating mandrel and forming roller. The results are useful to the product design of conical parts. And the present study can contribute to the improvement of industrial technology.

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Stability Analysis of Linear Uncertain Differential Equations

  • Chen, Xiaowei;Gao, Jinwu
    • Industrial Engineering and Management Systems
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    • v.12 no.1
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    • pp.2-8
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    • 2013
  • Uncertainty theory is a branch of mathematics based on normolity, duality, subadditivity and product axioms. Uncertain process is a sequence of uncertain variables indexed by time. Canonical Liu process is an uncertain process with stationary and independent increments. And the increments follow normal uncertainty distributions. Uncertain differential equation is a type of differential equation driven by the canonical Liu process. Stability analysis on uncertain differential equation is to investigate the qualitative properties, which is significant both in theory and application for uncertain differential equations. This paper aims to study stability properties of linear uncertain differential equations. First, the stability concepts are introduced. And then, several sufficient and necessary conditions of stability for linear uncertain differential equations are proposed. Besides, some examples are discussed.

An Optimum Design of Ramp Test with Stress Loading from Use Condition and Upper Bound of Stress (사용조건에서 스트레스를 가하고 스트레스한계가 있는 램프시험의 최적설계)

  • 전영록
    • Journal of Korean Society for Quality Management
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    • v.27 no.3
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    • pp.79-93
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    • 1999
  • The common accelerated life test(ALT) consists of test methods applying a constant stress, higher than the use condition stress, to items. There we, however, situations for which a progressive stress ALT, in which the stress on a test item is continuously increased with time, Is more convenient to perform testing and simpler in analyzing data than a constant stress ALT. When a product under constant stress s follows a Weibull distribution with parameters $\theta$(5) and $\beta$, maximum likelihood(ML) estimators of parameters involved in the model are obtained and their asymptotic distributions are derived under stress bounded ramp tests in which the stress is increased linearly from use condition stress to the stress upper bound. The optimum test plans are also found which minimize the asymptotic variance of the ML estimator of the log mean life at design constant stress. For selected values of the design parameters, tables useful for finding optimal test plans are given. The effect of the pre-estimates of design parameters is studied.

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Statistical Analysis of Degradation Data under a Random Coefficient Rate Model (확률계수 열화율 모형하에서 열화자료의 통계적 분석)

  • Seo, Sun-Keun;Lee, Su-Jin;Cho, You-Hee
    • Journal of Korean Society for Quality Management
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    • v.34 no.3
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    • pp.19-30
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    • 2006
  • For highly reliable products, it is difficult to assess the lifetime of the products with traditional life tests. Accordingly, a recent approach is to observe the performance degradation of product during the test rather than regular failure time. This study compares performances of three methods(i.e. the approximation, analytical and numerical methods) to estimate the parameters and quantiles of the lifetime when the time-to-failure distribution follows Weibull and lognormal distributions under a random coefficient degradation rate model. Numerical experiments are also conducted to investigate the effects of model error such as measurements in a random coefficient model.

Probability-Based Estimates of Basic Design Wind Speeds In Korea (확률에 기초한 한국의 기본 설계풍속 주정)

  • 조효남;백현식;차철준
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1988.10a
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    • pp.7-12
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    • 1988
  • This study presents rational methods for probability-based estimates of basic design wind speeds in Korea and develops a risk-bases nation-wide map of design wind speeds. The paper examines the fitting of the Type-I extreme model to maximum yearly non-typhoon wind data from long-term records based on the conventional method and to maximum monthly nod-typhoon wind data from short-term records following Grigorin's approach. The paper also reviews the applicability of the method using short records of about 5 years. The basic design wind speeds for typhoon and non-typhoon wind at a station are made to be obtained from a mixed model which is given as a product of typhoon and non-typhoon extreme wind distributions. A practical method which is based on the fitting of the Type I model to records or typhoon and non-typhoon mixed wind data at a station is also preposed in this study.

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Variation Stack-Up Analysis Using Monte Carlo Simulation for Manufacturing Process Control and Specification

  • Lee, Byoungki
    • Journal of Korean Society for Quality Management
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    • v.22 no.4
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    • pp.79-101
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    • 1994
  • In modern manufacturing, a product consists of many components created by different processes. Variations in the individual component dimensions and in the processes may result in unacceptable final assemblies. Thus, engineers have increased pressure to properly set tolerance specifications for individual components and to control manufacturing processes. When a proper variation stack-up analysis is not performed for all of the components in a functional system, all component parts can be within specifications, but the final assembly may not be functional. Thus, in order to improve the performance of the final assembly, a proper variation stack-up analysis is essential for specifying dimensional tolerances and process control. This research provides a detailed case example of the use of variation stack-up analysis using a Monte Carlo simulation method to improve the defect rate of a complex process, which is the commutator brush track undercut process of an armature assembly of a small motor. Variations in individual component dimensions and process mean shifts cause high defect rate, Since some dimensional characteristics have non-normal distributions and the stack-up function is non-linear, the Monte Carlo simulation method is used.

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The abundant presence of nonpolyadenylated SV40 late 19S spliced RNA in the nucleus of monkey cell (Poly A tail을 결핍한 Simian virus 40 spliced RNA의 세포내 분포)

  • ;Mertz, Janet
    • Korean Journal of Microbiology
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    • v.26 no.2
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    • pp.106-112
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    • 1988
  • We have examined the structures and cellular distributions of the SV40 late RNAs present in monkey cells at late times after infection. One particular RNA species, spliced at residue 373(373-RNA), was found to be as abundant as the major late 16S RNAs. This result was unexpected since previous reports showed that the molecular ratio of the 373-spliced 19S RNA to 16S RNA is approximately 0.1 among either cytoplasmic polyadenylated or polysomal viral RNAs. Both sedimentation and electrophoretic analysis indicated that the 373-RNA was approximately 16S to 19S in size. Therefore, it was not a splicing intermediate or the product of premature termination of transcription within the late leader region. Whereas most SV40 late 16S RNA is polyadenylated and located in the cytoplasm, the majority of 373-RNA was found to lack poly A, and be located in the nucleus.

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A Study on the Fiber Orientation and Fiber Content Ratio Distribution during the Injection Molding for FRP (FRP의 사출성형에 있어서 섬유배향상태와 섬유함유율분포에 관한 연구)

  • Kim J. W.;Lee D. G.
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2005.05a
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    • pp.252-257
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    • 2005
  • Injection molding is a very important industrial process for the manufacturing of plastics objects. During an injection molding process of composites, the fiber-matrix separation and fiber orientation are caused by the flow of molten polymer/fiber mixture. As a result, the product tends to be nonhomogeneous and anisotropic. Hence, it is very important to clarify the relations between separation' orientation and injection molding conditions. So far, there is no research on the measurement of fiber orientation using image processing. In this study, the effects of fiber content ratio and molding condition on the fiber orientation-angle distributions are studied experimentally. Using the image processing method, the fiber orientation distribution of weld-line in injection-molded products is assessed. And the effects of fiber content and injection mold-gate conditions on the fiber orientation are also discussed.

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Automatic Process Design System for Cold Forging of Fasteners with Various Head Geometries (다양한 머리 형상을 갖는 체결구의 냉간 단조 자동 공정 설계 시스템)

  • 김홍석;임용택
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.10a
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    • pp.141-148
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    • 1994
  • In order to improve the productivity of cold forging at low production cost, an integrated system's approach is necessary in handling the material preparation and the optimum process design, considering the forming machines, tooling, and operation including quality control. As the first step toward this approach, an expert system for multi-stage cold forging process design for fasteners with various head geometries is developed using Prolog language on IBM 486 PC. For effective representation of the complex part geometries, the system uses the multiple element input, and the forward inference scheme in determination of the initial billet size and intermediate forging steps. In order to determine intermediate steps, the basic empirical rules for extrusion, heading, and trimming were applied. The required forming loads and global strain distributions at each forging step were calculated and displayed on the PC monitor. The designed process sequence drawing can be obtained by AutoCAD. The developed system will be useful in reducing trial and error of design engineers in determining the diameter and height of the initial cylindrical billet from the final product geometry and the intermediate necessary sequences.

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Prediction of Recrystallization behaviors in Hot Forging by the Finite Element Method (열간단조공정중 강의 재결정거동 유한용소해석)

  • 곽우진;이경종;권오준;황상무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1996.03a
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    • pp.81-90
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    • 1996
  • In this paper, a finite element based system is presented for the prediction of the distributions of the recrystallized grain sizes in the workpiece in hot forging. The system adopts fully coupled finite element thermo-mechanical model for predicting plastic deformatin and heat transfer occuring in the workpiece, and employsexisting metallurgical models relating the recrystallization behavior with the thermo-mechanical variables such as temperatures, strain, and strain rate. The system is applied to upsetting of cylindrical preform. The predicted grain sizes are compared with the measurements . It is further applied to forging of a complex-shaped product.

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