• Title/Summary/Keyword: Dimensional reduction method

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DECOUPLING OF MULTI-INPUT MULTI-OUTPYT TWO DIMENSIONAL SYSTEMS

  • Kawakami, Atsushi
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1130-1134
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    • 1990
  • In this paper, we propose a mthod to decouple the multi-input multi-output two-dimensional system. Then, we analyze the realization dimension of the feedback, feedforward given to decouple. Moreover, we consider the possibility of the reduction of the dynamical dimension needed to decouple. Besides, in order to stabilize the decoupled two-dimensional system, we suggest a method to assign the poles of each entry of the transfer function matrix to the desired positions.

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MULTIDIMENSIONAL INTEGRATION VIA TRAPEZOIDAL AND THREE POINT GENERATORS

  • Cerone, P.
    • Journal of the Korean Mathematical Society
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    • v.40 no.2
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    • pp.251-272
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    • 2003
  • Multidimensional integrals are expressed in terms of lower dimensional integrals and function evaluations. An iterative process is used where a trapezoidal and three point identities are used as generators for higher dimensional identities. Bounds are obtained utilising the resulting identities. It is demonstrated that earlier Ostrowski type results are obtained as particular instances of the current work.

A Study on the Corner Filling in the Drawing of Quadrangle Rod from Round Bar (원형봉에서 사각재 인발 공정의 코너 채움에 관한 연구)

  • 김용철;김동진;김병민
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.6
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    • pp.143-152
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    • 2000
  • The comer filling in shaped drawing process is an important characteristic, unlike the round drawing. It has also influence on the dimensional accuracy of the product. In this study, therefore, the shaped drawing process has been simulated by the three dimensional rigid-plastic finite element method in order to investigate the effect of process variables such as reduction in area and semi-die angle to the corner filling. The artificial neural network has also been introduced to reduce the number of simulations. To verify the results of simulations, experiments have been performed on the real industrial products. According to the results, the main process variable on the corner filling is the combination of semi-die angle in the irregular shaped drawing processes, but in the case of regular shaped drawing processes, reduction in area has great influence on the corner filling.

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Feature reduction for classifying high dimensional data sets using support vector machine (고차원 데이터의 분류를 위한 서포트 벡터 머신을 이용한 피처 감소 기법)

  • Ko, Seok-Ha;Lee, Hyun-Ju
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.877-878
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    • 2008
  • We suggest a feature reduction method to classify mouse function data sets, which integrate several biological data sets represented as high dimensional vectors. To increase classification accuracy and decrease computational overhead, it is important to reduce the dimension of features. To do this, we employed Hybrid Huberized Support Vector Machine with kernels used for a kernel logistic regression method. When compared to support vector machine, this a pproach shows the better accuracy with useful features for each mouse function.

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Optimization of Round Bar Forging Process by Using Finite Element Analysis (유한요소해석을 이용한 환봉 단조공정 최적화)

  • 최성기;천명식;문영훈
    • Transactions of Materials Processing
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    • v.13 no.2
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    • pp.142-147
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    • 2004
  • Three-dimensional rigid-plastic finite element analysis has been performed to optimize open die forging process to make round bar. In the round bar forging, it is difficult to optimize process parameters in the operational environments. Therefore in this study, finite element method is used to analyze the practice of open die forging, focusing on the effects of reduction, feeding pitch and rotation angle for optimal forging pass designs. The soundness of forging process has been estimated by the smoothness and roundness of the bar at various combination of feeding pitches and rotation angles. From the test result, process conditions to make round bar having precise dimensional accuracy have been proposed.

CRITICAL POINT THEORY AND AN ASYMMETRIC BEAM EQUATION WITH TWO JUMPING NONLINEAR TERMS

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.17 no.3
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    • pp.299-314
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    • 2009
  • We investigate the multiple nontrivial solutions of the asymmetric beam equation $u_{tt}+u_{xxxx}=b_1[{(u + 2)}^+-2]+b_2[{(u + 3)}^+-3]$ with Dirichlet boundary condition and periodic condition on t. We reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to find the nontrivial solutions of the equation.

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TWO JUMPING NONLINEAR TERMS AND A NONLINEAR WAVE EQUATION

  • Jung, Tacksun;Choi, Q-Heung
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.4
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    • pp.675-687
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    • 2009
  • We find the multiple nontrivial solutions of the equation of the form $u_{tt}-u_{xx}=b_1[(u+1)^{+}-1]+b_2[(u+2)^{+}-2]$ with Dirichlet boundary condition. Here we reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to find the nontrivial solutions.

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The Elasto-Plastic Finite Element Analysis of Ductile Fracture in Shape Rolling (형상압연시 연성파괴의 탄소성 유한요소해석)

  • 원영목;오규환
    • Transactions of Materials Processing
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    • v.5 no.1
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    • pp.72-80
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    • 1996
  • During the shape rolling process the influence of reduction ration and taper of shape roller on deformation and limit of ductile fracture such as free surface cracks developing in the workpiece has been studied. The deformation behaviours were analyzed by the 3-dimensional elasto-pastic finite element method and the conditions of ductile fracture were determined from 3-dimensional elasto-plastic finite element method and modified Cockrogt-Latham criterion. The deformed geometry and prediction of ductile fracture by 3-dimensional elasto-plastic finite element method are compared with experimental results The calcuated results are in good agreements with experimental data. The analysis used in the study was found to be effective in predicting the shape rolling process.

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Noise Reduction and C-Scan Image Shaping of Ultrasonic Signal for Welding Quality Inspection (용접 품질 검사를 위한 초음파 신호의 노이즈 제거 및 C-Scan 영상 형상화)

  • Kim, Tae-Kyu;SEO, JONGDOCK;Lee, Dong-Hyung;Kang, Eon-uck;Kwon, Seong-Geun
    • Journal of Korea Multimedia Society
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    • v.20 no.10
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    • pp.1662-1670
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    • 2017
  • A-Scan NDT equipment is widely used in the industrial field because it is inexpensive and easy to carry but it is necessary to have a skilled inspection specialist who is trained to analyze the waveform of ultrasonic signal. Since the welding quality is judged subjectively by the specialist, there is a problem in the reliability of the quality. In the C-Scan NDT which overcomes the shortcomings of the A-Scan, welding part can be represented in the form of two dimensional image by combining one dimensional ultrasonic waveform so that the quality of welding can be grasped without the help of specialist. In order to develop C-Scan NDT, it is necessary to develop an array type two dimensional transducer and an algorithm to composing image by combining ultrasonic signals generated from a two dimensional transducer. In addition, the noise component must be minimized in the ultrasonic signal in order to display the quality of welding in the form of images. Therefore we propose a method to remove noise component from the ultrasonic wave and construct a two dimensional ultrasonic image.

Development of a Design System for Multi-Stage Gear Drives (2nd Report : Development of a Generalized New Design Algortitm

  • Chong, Tae-Hyong;Inho Bae
    • International Journal of Precision Engineering and Manufacturing
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    • v.2 no.2
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    • pp.65-72
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    • 2001
  • The design of multi-stage gear drives is a time-consuming process, since on includes more complicated problems, which are not considered in the design of single-stage gear drives. The designer has th determine the number of reduction stages and the gear ratios of each reduction state. In addition, the design problems include not only the dimensional design but also the configuration design of gear drive elements. There is no definite rule and principle for these types of design problems. Thus the design practices largely depend on the sense and the experiences of the designer , and consequently result in undesirable design solution. We propose a new generalized design algorithm to support the designer at the preliminary design phase of multi-stage gear drives. The proposed design algorithm automates the design process by integrating the dimensional design and the configuration design process. The algorithm consists of four steps. In the first step, a designer determines the number of reduction stage. In the second step. gear ratios se chosen by using the random search method. In the third step, the values of basic design parameter are chosen by using the generate and test method. Then, the values of other dimension, such ad pitch diameter, outer diameter, and face width, are calculated for the configuration design in the final step. The strength and durability of a gear is guaranteed by the bending strength and the pitting resistance rating practices by using the AGMA rating formulas. In the final step, the configuration design is carried out b using the simulated annealing algorithm. The positions of gears and shafts are determined to minimize the geometrical volume(size) of a gearbox, while satisfying spatial constraints between them. These steps are carried out iteratively until a desirable solution is acquired. The propose design algorithm has been applied to the preliminary design of four-stage gear drives in order to validate the availability. The design solution have shown considerably good results in both aspects of the dimensional and the configuration design.

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