• Title/Summary/Keyword: Non-linear Function

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Electrothermal Crack Analysis in a Finite Conductive Layer with Temperature-dependent Material Properties (온도 의존성 물성치를 가지는 유한한 전도층에서의 전기/열하중을 받는 균열의 해석)

  • Jang Yong-Hoon;Lee Sang-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.8 s.251
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    • pp.949-956
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    • 2006
  • The method of Greenwood and Williamson is extended to obtain a solution to the coupled non-linear problem of steady-state electrical and thermal conduction across a crack in a conductive layer, for which the electrical resistivity and thermal conductivity are functions of temperature. The problem can be decomposed into the solution of a pair of non-linear algebraic equations involving boundary values and material properties. The new mixed-boundary value problem given from the thermal and electrical boundary conditions for the crack in the conductive layer is reduced in order to solve a singular integral equation of the first kind, the solution of which can be expressed in terms of the product of a series of the Chebyshev polynomials and their weight function. The non-existence of the solution for an infinite conductor in electrical and thermal conduction is shown. Numerical results are given showing the temperature field around the crack.

Disturbance Observer Design for a Non-minimum Phase System That Is Stabilizable via PID Control (PID 제어기로 안정화 가능한 비최소 위상 시스템에 대한 외란 관측기 설계)

  • Son, Young-Ik;Kim, Sung-Jong;Jeong, Goo-Jong;Shim, Hyung-Bo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.9
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    • pp.1612-1617
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    • 2008
  • Since most disturbance observer (DOB) approaches have been limited to minimum-phase systems (or systems having no zero dynamics), we propose a new DOB structure that can be applied to non-minimum phase systems. The new structure features an additional system, which is called as V-filter, whose role is to yield a minimum phase system when connected with the plant in parallel. In order to design the V-filter systematically we first consider a class of linear systems that can be stabilized via PID controller. By inverting the controller's transfer function, we can simply construct the filter. A convenient way of designing V-filter is presented by using an iterative linear matrix inequality (LMI) algorithm. With an illustrative example the simulation result shows that substantial improvement in the performance has been achieved compared with the control system without the DOB.

A study on the computer simulation model of the closed rotating system about the closed system (폐쇄된 계의 닫힌 회전 운동에 대한 컴퓨터 씨뮬레이션 모델에 관한 연구)

  • Chung, Byung-Tae
    • Journal of the Korea Computer Industry Society
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    • v.8 no.3
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    • pp.181-186
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    • 2007
  • The movement in the closed system's internal and external, consists of linear open motion and linear closed motion, as well as non-linear motion and non-linear closed motion. When the linear closed motion receives external forces such as friction, closed motion is activated. It explains that even closed rotating systems that are subjected to external forces such as friction becomes a confined rotating system. Through fluid experiments the closed rotating system and confined system's quantitative data was observed and closed rotating system was confirmed to formulate the computer simulation function model concerning closed motion and confined motion. A basic graphic configuration of the motion device is also introduced.

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A Numerical Study on 2-Dimensuional Tank with Shallow Draft (천수에서 2차원 수치파 수조에 대한 계산)

  • 임춘규
    • Journal of Ocean Engineering and Technology
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    • v.14 no.1
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    • pp.1-5
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    • 2000
  • A numerical analysis for wave motion in the shallow water is presented. The method is based on potential theory. The fully nonlinear free surface boundary condition is assumed in an inner domain and this solution is matched along an assumed common boundary to a linear solution in outer domain. In two-dimensional problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary.

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A GENERALIZED APPROACH OF FRACTIONAL FOURIER TRANSFORM TO STABILITY OF FRACTIONAL DIFFERENTIAL EQUATION

  • Mohanapriya, Arusamy;Sivakumar, Varudaraj;Prakash, Periasamy
    • Korean Journal of Mathematics
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    • v.29 no.4
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    • pp.749-763
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    • 2021
  • This research article deals with the Mittag-Leffler-Hyers-Ulam stability of linear and impulsive fractional order differential equation which involves the Caputo derivative. The application of the generalized fractional Fourier transform method and fixed point theorem, evaluates the existence, uniqueness and stability of solution that are acquired for the proposed non-linear problems on Lizorkin space. Finally, examples are introduced to validate the outcomes of main result.

Characteristics of Material Function Related to Permeability and Compressibility for Soft Clay Ground (투수 및 압축에 대한 연약 점토지반의 물질함수 특성)

  • Lee, Song;Jeon, Je-Sung;Yi, Chang-Tok
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.1
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    • pp.183-194
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    • 2004
  • It's essential process to study non-linear material function related to characteristics of compressibility and permeability when we predict the consolidation behavior of soft clay ground. In this study, laboratory tests were conducted to find out the material function using marine clay. Standard oedometer test and Rowe cell test were performed with conditions, which were classified into vertical drainage only, radial drainage only and vertical-radial drainage case. Modified oedometer test equipment was developed to find out the material function and special extrusion device was originated to minimize the sample disturbance effect. Reliability of the results in modified oedometer test could be confirmed by comparing with the Rowe cell's one. Effective stress - void ratio - permeability relations were analyzed using all testing results. As a result, void ratio with effective stress level could be expressed by the power function and permeability with void ratio could be expressed by exponential function. In soft clay with high initial water content and low shear strength, non-linear characteristics related to compressibility and permeability varied with wide range by the effective stress levels. It's important to note that non-linearity of the material function should be considered at prediction of the consolidation behavior.

A UCP-based Model to Estimate the Software Development Cost (소프트웨어 개발 비용을 추정하기 위한 사용사례 점수 기반 모델)

  • Park, Ju-Seok;Chong, Ki-Won
    • The KIPS Transactions:PartD
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    • v.11D no.1
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    • pp.163-172
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    • 2004
  • In the software development project applying object-oriented development methodology, the research on the UCP(Use Case Point) as a method to estimate development effort is being carried on. The existing research proposes the linear model calculating the development effort that multiplies an invariant on AUCP(Adjusted Use Case Point) which applied technical and environmental factors. However, the statistical model that estimates the development effort using AUCP and UUCP(Unadjusted Use Case Point) is not being studied. The irrelevant relationship of the linear regression model, whose development period is increasing tremendously as the software size increases, is confirmed. Moreover, during the UCP calculating process, there can be errors in FP by applying the TCF(Technical Complexity Factor) and EF(Environmental Factor). This paper presents a non-linear regression model, that does not consider the TCF and EF, and that estimate the development effort from UUCP directly by utilizing the exponential function. An exponential function is selected among the linear, logarithm, polynomial, power, and exponential model via statistical evaluations of the models mentioned above.

Modifying linearly non-separable support vector machine binary classifier to account for the centroid mean vector

  • Mubarak Al-Shukeili;Ronald Wesonga
    • Communications for Statistical Applications and Methods
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    • v.30 no.3
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    • pp.245-258
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    • 2023
  • This study proposes a modification to the objective function of the support vector machine for the linearly non-separable case of a binary classifier yi ∈ {-1, 1}. The modification takes into account the position of each data item xi from its corresponding class centroid. The resulting optimization function involves the centroid mean vector, and the spread of data besides the support vectors, which should be minimized by the choice of hyper-plane β. Theoretical assumptions have been tested to derive an optimal separable hyperplane that yields the minimal misclassification rate. The proposed method has been evaluated using simulation studies and real-life COVID-19 patient outcome hospitalization data. Results show that the proposed method performs better than the classical linear SVM classifier as the sample size increases and is preferred in the presence of correlations among predictors as well as among extreme values.

Active Handling Control of the Differential Brake System Using Fuzzy Controller (퍼지제어기를 이용한 차동브레이크 시스템의 능동 조향제어)

  • 윤여흥;장봉춘;이성철
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.5
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    • pp.82-91
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    • 2003
  • Vehicle dynamics control (VDC) has been a breakthrough and become a new terminology for the safety of a driver and improvement of vehicle handling. This paper examines the usefulness of a brake steer system (BSS), which uses differential brake forces for steering intervention in the context of VDC, In order to help the car to turn, a yaw moment can be achieved by altering the left/right and front/rear brake distribution. The steering function achieved through BSS can then be used to control lateral position in an unintended road departure system. An 8-DOF non-linear vehicle model including STI tire model will be validated using the equations of motion of the vehicle, and the non-linear vehicle dynamics. Since fuzzy logic can consider the nonlinear effect of vehicle modeling, fuzzy controller is designed to explore BSS feasibility, by modifying the brake distribution through the control of the yaw rate of the vehicle. The control strategies developed will be tested by simulation of a variety of situation; the possibility of VDC using BSS is verified in this paper.

A total strain-based hysteretic material model for reinforced concrete structures: theory and verifications

  • Yun, Gun-Jin;Harmon, Thomas G.;Dyke, Shirley J.;So, Migeum
    • Computers and Concrete
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    • v.5 no.3
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    • pp.217-241
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    • 2008
  • In this paper, a total strain-based hysteretic material model based on MCFT is proposed for non-linear finite element analysis of reinforced concrete structures. Although many concrete models have been proposed for simulating behavior of structures under cyclic loading conditions, accurate simulations remain challenging due to uncertainties in materials, pitfalls of crude assumptions of existing models, and limited understanding of failure mechanisms. The proposed model is equipped with a fully generalized hysteresis rule and is formulated for 2D plane stress non-linear finite element analysis. The proposed model has been formulated in a tangent stiffness-based finite element scheme so that it can be used for most general finite element analysis packages. Moreover, it eliminates the need to check that tensile stresses can be transmitted across a crack. The tension stiffening model is a function of the bar orientation and any orientation can be accommodated. The proposed model has been verified with a series of experimental results of 2D RC planar panels. This study also demonstrates how parameters of the proposed model associated with cyclic damage modeling influences the pinched cyclic shear behavior.