• Title/Summary/Keyword: non-linear problem

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An optimal design of the Kopp Ball Variator continuously variable transmission (Kopp Ball Variator 무단변속기의 최적설계)

  • 임경호;김두만
    • Journal of the korean Society of Automotive Engineers
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    • v.14 no.1
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    • pp.38-46
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    • 1992
  • An optimal design technique for minimum power loss in Kopp Ball Variator Continuously Variable Transmission is developed. Kinematic analysis of traction drive contact is performed to find spin for Kopp Ball Variator, and traction force and torque are calculated from mathem atical model of traction drive contact. The objective function for optimal design is total power loss including contact loss and bearing losses. The design contraints are derived from energy balance for input and output power. The formulated optimal design problem is implemented to a non-linear programming algorithm to find minimum power loss. The performance of optimal ly designed Kopp Ball Variator shows that efficiency is increased about 5-10% compare to a commercial unit.

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Simulation of Ratcheting in Wheel-Rail Contact (차륜-레일 구름접촉에 의한 라체팅 모델링)

  • Goo, Byeong-Choon
    • Journal of the Korean Society for Railway
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    • v.11 no.3
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    • pp.311-316
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    • 2008
  • Ratcheting is a cyclic accumulation of strain under a cyclic loading. It is a kind of mechanisms which generate cracks in rail steels. Though some experimental and numerical study has been performed, modeling of ratcheting is still a challenging problem. In this study, an elastic-plastic constitutive equation with non-linear kinematic hardening equation was applied. Contact stresses in wheel-rail were analyzed. Under the tangential stress of the contact stresses, a cyclic stress-strain relation was obtained by using the model. A constant ratcheting strain per cycle was accumulated.

A Systematic Gain Tuning of PID Controller Based on the Concept of Time Delay Control

  • Lee, Jeong-Wan
    • International Journal of Precision Engineering and Manufacturing
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    • v.9 no.4
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    • pp.39-44
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    • 2008
  • In this paper, through the study of discrete implementation of time delay control (TDC) and PID control algorithm, a new systematic gain selection method for PID controller is proposed. An important advantage of this method is that it may be applied to real systems with very simple and systematic procedure. The proposed method is derived for SISO systems and then extended to MIMO system. Through simulation for the second order non-linear plant and experiment on 2-DOF robot, the effectiveness of the proposed method is confirmed. The proposed method could solve the problem of difficulty in gain tuning of existing PID controller.

Determining the Optimal Buffer Sizes in Poisson Driven 3-node Tandem Queues using (Max, +)-algebra ((Max, +)-대수를 이용한 3-노드 유한 버퍼 일렬대기행렬 망에서 최적 버퍼 크기 결정)

  • Seo, Dong-Won;Hwang, Seung-June
    • Korean Management Science Review
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    • v.24 no.1
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    • pp.25-34
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    • 2007
  • In this study, we consider stationary waiting times in finite-buffer 3-node single-server queues in series with a Poisson arrival process and with either constant or non-overlapping service times. We assume that each node has a finite buffer except for the first node. The explicit expressions of waiting times in all areas of the stochastic system were driven as functions of finite buffer capacities. These explicit forms show that a system sojourn time does not depend on the finite buffer sizes, and also allow one to compute and compare characteristics of stationary waiting times at all areas under two blocking rules communication and manufacturing blocking. The goal of this study is to apply these results to an optimization problem which determines the smallest buffer capacities satisfying predetermined probabilistic constraints on stationary waiting times at all nodes. Numerical examples are also provided.

Economic Optimization in Preliminary Ship Design (선박기본설계과정(船舶基本設計過程)에서의 경제성검토(經濟性檢討)와 최적화기법(最適化技法)의 응용(應用))

  • Z.K.,Kim;S.H.,Han
    • Bulletin of the Society of Naval Architects of Korea
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    • v.15 no.4
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    • pp.1-5
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    • 1978
  • The preliminary ship design step is made into a non-linear programming(NLP) problem. And using SUMT-exterior method and Hook Jeeves pattern search, the optimum ship characteristics are determined for the case where the ship is built in Korea and is operated by Koreans. Three programs for bulk carrier, tanker, and container ship are constructed and several sensitivity tests are performed. The result has little difference from the results of the other papers, but for high interest rate of return, slightly larger and faster ship is superior, and for low labour costs, slightly smaller and slower ship is superior.

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A Numerical Calculation of Eddy Current Field by Applying FEM and BEM Alternately (유한요소법과 경계요소법의 교호적용에 의한 와전류장 해석)

  • Im, Jae-Won
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.7
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    • pp.457-461
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    • 2000
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

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Identification of the Parameters of Distributed Systems via Orthogonal Function (직교 함수를 이용한 분포 정수계의 파라미터 추정)

  • Ahn, Du-Su;Kim, Tai-Hoon;Kim, Jin-Tae;In, Don-Ki;Lee, Han-Seok;Lee, Jae-Chun
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2617-2619
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    • 2000
  • This paper considers the problem of identifying the time-invariant parameters of non-linear distributed systems. The Parameters, in this paper, are identified by using the EBPOMs (Extended Block Pulse Operational Matrices) which can reduce the burden of operation and the volume of error caused by matrices multiplication

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Non-spillover control design of tall buildings in modal space

  • Fang, J.Q.;Li, Q.S.;Liu, D.K.
    • Wind and Structures
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    • v.2 no.3
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    • pp.189-200
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    • 1999
  • In this paper, a new algorithm for active control design of structures is proposed and investigated. The algorithm preserves the decoupling property of the modal vibration equation and eliminates the spillover problem, which is the main shortcoming in the independent modal space control(IMSC) algorithm. With linear quadratic regulator(LQR) control law, the analytical solution of algebraic Riccati equation and the optimal actuator control force are obtained, and the control design procedure is significantly simplified. A numerical example for the control design of a tall building subjected to wind loads demonstrates the effectiveness of the proposed algorithm in reducing the acceleration and displacement responses of tall buildings under wind actions.

A Feedback Control System for Suppressing Crane Oscillations with On-Off Motors

  • Hekman, Keith A.;Singhose, William E.
    • International Journal of Control, Automation, and Systems
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    • v.5 no.3
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    • pp.223-233
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    • 2007
  • Crane payloads frequently swing with large amplitude motion that degrades safety and throughput. Open-loop methods have addressed this problem, but are not effective for disturbances. Closed-loop methods have also been used, but generally require the speed of the driving motors to be precisely controlled. This paper develops a feedback control method for controlling motors to cancel the measured payload oscillations by intelligently timing the ensuing on and off motor commands. The effectiveness of the oscillation suppression scheme is experimentally verified on an industrial bridge crane.

Design of sliding-type base isolators by the concept of equivalent damping

  • Yang, Yeong-Bin;Chen, Yi-Chang
    • Structural Engineering and Mechanics
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    • v.8 no.3
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    • pp.299-310
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    • 1999
  • One problem with base isolators of the sliding type is that their dynamic responses are nonlinear, which cannot be solved in an easy manner, as distinction must be made between the sliding and non-sliding phases. The lack of a simple method for analyzing structures installed with base isolators is one of the obstacles encountered in application of these devices. As an initial effort toward simplification of the analysis procedure for base-isolated structures, an approach will be proposed in this paper for computing the equivalent damping for the resilient-friction base isolators (R-FBI), based on the condition that the sum of the least squares of errors of the linearized response with reference to the original nonlinear one is a minimum. With the aid of equivalent damping, the original nonlinear system can be replaced by a linear one, which can then be solved by methods readily available. In this paper, equivalent damping curves are established for all ranges of the parameters that characterize the R-FBI for some design spectra.