• Title/Summary/Keyword: equivalent linear method

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Application of CAE for Precision Material Forming of Electric Parts (정밀 전기, 전자 부품 성형을 위한 해석 틀의 활용)

  • 김석관;이재진;서장원
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.06a
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    • pp.185-189
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    • 1994
  • The key factor of quality in precision metal forming is to meet the requirements of parts size and shape. Particular problem of unflatness occurs frequently. This study focuses on figuring out the cause of unflatness. To predict the amount of unflatness after ejection from tool, equivalent temperature method is used. This method, temperature equivalent to the final stress value is calculated, and it is applied as the boundary condition of the linear static analysis. The final of formed part is used as the geometry model of the static analysis.

A Linear Sliding Surface Design Method for a Class of Uncertain Systems with Mismatched Uncertainties (불확실성이 매칭조건을 만족시키지 않는 선형 시스템을 위한 슬라이딩 평면 설계 방법)

  • 최한호
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.11
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    • pp.861-867
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    • 2003
  • We propose a sliding surface design method for linear systems with mismatched uncertainties in the state space model. In terms of LMIs, we derive a necessary and sufficient condition for the existence of a linear sliding surface such that the reduced-order equivalent sliding mode dynamics restricted to the linear sliding surface is not only stable but completely invariant to mismatched uncertainties. We give an explicit formula of all such linear switching surfaces in terms of solution matrices to the LMI existence condition. We also give a switching feedback control law, together with a design algorithm. Additionally, we give some hints for designing linear switching surfaces guaranteeing pole clustering constraints or linear quadratic performance bound constraints. Finally, we give a design example in order to show the effectiveness of the proposed methodology.

Structural Optimization for Non-Linear Behavior Using Equivalent Static Loads (II) - Structural Examples - (선형 등가정하중을 이용한 비선형 거동 구조물의 최적설계 (II) - 구조예제 -)

  • Park Ki-Jong;Park Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.8 s.239
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    • pp.1061-1069
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    • 2005
  • In part I of this papter Nonlinear Response Optimization using Equivalent Static Loads (NROESL) method/algorithm is developed to conduct optimization for nonlinear behavior structures. The method/algorithm is also verified to show its convergency and optimality. In this present paper, the NROESL algorithm is applied to several structural problems with geometric and/or material nonlinearity. Conventional optimization with sensitivity analysis using the finite difference method is also applied to the same examples. The results of the optimizations are compared. The proposed method is very efficient and derives good solutions.

Equivalent Circuit Constants and Characteristics Calculation of LIM by Lock test (구속시험에 의한 선형 유도 전동기의 등가회로 정수 산정 및 특성 계산)

  • 김규탁;강규홍;최태희;이정규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.4
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    • pp.580-586
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    • 1994
  • The equivalent circuit of linear induction motor is generally expressed as the same that of rotary induction motor. However, it is almost impossible to perform the no-load test for LIM, because it needs a special equipment for synchronous speed. Therefore, a new method is reqnired to calculate the performance of the LIM without the no-load test. In this paper, The new method which does not need no-load test for the chanracteristics analysis of LIM is proposed. The equivalent circuit of LIM is chosen and the method if determining its constants from results of the lock test is discussed. The calculated results were satisfied by compare with experimental and conventional method results.

Preliminary Study on Linear Dynamic Response Topology Optimization Using Equivalent Static Loads (등가정하중을 사용한 선형 동적반응 위상최적설계 기초연구)

  • Jang, Hwan-Hak;Lee, Hyun-Ah;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1401-1409
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    • 2009
  • All the forces in the real world act dynamically on structures. Design and analysis should be performed based on the dynamic loads for the safety of structures. Dynamic (transient or vibrational) responses have many peaks in the time domain. Topology optimization, which gives an excellent conceptual design, mainly has been performed with static loads. In topology optimization, the number of design variables is quite large and considering the peaks is fairly costly. Topology optimization in the frequency domain has been performed to consider the dynamic effects; however, it is not sufficient to fully include the dynamic characteristics. In this research, linear dynamic response topology optimization is performed in the time domain. First, the necessity of topology optimization to directly consider the dynamic loads is verified by identifying the relationship between the natural frequency of a structure and the excitation frequency. When the natural frequency of a structure is low, the dynamic characteristics (inertia effect) should be considered. The equivalent static loads (ESLs) method is proposed for linear dynamic response topology optimization. ESLs are made to generate the same response field as that from dynamic loads at each time step of dynamic response analysis. The method was originally developed for size and shape optimizations. The original method is expanded to topology optimization under dynamic loads. At each time step of dynamic analysis, ESLs are calculated and ESLs are used as the external loads in static response topology optimization. The results of topology optimization are used to update the design variables (density of finite elements) and the updated design variables are used in dynamic analysis in a cyclic manner until the convergence criteria are satisfied. The updating rules and convergence criteria in the ESLs method are newly proposed for linear dynamic response topology optimization. The proposed updating rules are the artificial material method and the element elimination method. The artificial material method updates the material property for dynamic analysis at the next cycle using the results of topology optimization. The element elimination method is proposed to remove the element which has low density when static topology optimization is finished. These proposed methods are applied to some examples. The results are discussed in comparison with conventional linear static response topology optimization.

A new hierarchic degenerated shell element for geometrically non-linear analysis of composite laminated square and skew plates

  • Woo, Kwang-Sung;Park, Jin-Hwan;Hong, Chong-Hyun
    • Structural Engineering and Mechanics
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    • v.17 no.6
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    • pp.751-766
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    • 2004
  • This paper extends the use of the hierarchic degenerated shell element to geometric non-linear analysis of composite laminated skew plates by the p-version of the finite element method. For the geometric non-linear analysis, the total Lagrangian formulation is adopted with moderately large displacement and small strain being accounted for in the sense of von Karman hypothesis. The present model is based on equivalent-single layer laminate theory with the first order shear deformation including a shear correction factor of 5/6. The integrals of Legendre polynomials are used for shape functions with p-level varying from 1 to 10. A wide variety of linear and non-linear results obtained by the p-version finite element model are presented for the laminated skew plates as well as laminated square plates. A numerical analysis is made to illustrate the influence of the geometric non-linear effect on the transverse deflections and the stresses with respect to width/depth ratio (a/h), skew angle (${\beta}$), and stacking sequence of layers. The present results are in good agreement with the results in literatures.

Stability Analysis of Nonlinear Pulse-Modulated System Subject to Gaussian Noise (가우스 잡음을 고려한 비선형 펄스 변조 시스템의 안정도 분석)

  • 강영채
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.19 no.6
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    • pp.67-79
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    • 1982
  • The stability of general pulse-width modulation system with Gaussian random disturbance was discussed . General system is divided into nonlinear and linear elements using the conventional describing function method. The concept of the equivalent admittance was used to find the transfer characteristic of the nonlinear element of the system. In this paper the self-sustained oscillation condition in the autonomous system was derived and the results was analyzed with computer simulation.

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Application of the Equivalent Frequency Response Method to Runoff Analysis

  • Fujita, Mutsuhiro;Hamouda, Ruai;Tanaka, Gaku
    • Journal of Korea Water Resources Association
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    • v.33 no.S1
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    • pp.101-110
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    • 2000
  • This paper introduces the equivalent frequency response method(EFRM) into runoff analysis. This EFRM originally had been developed to analyze dynamic behavior of nonlinear elements such as threshold and saturation in control engineering. Many runoff models are described by nonlinear ordinary of partial differential equations This paper presents that these nonlinear differential equations can be converted into semi-linear ones based on EFRM. The word of "a semi-linear equation" means that the coefficients of derived equations depend on average rainfall.

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Characteristic Analysis of a Permanent Magnet Transverse Flux Linear Motor with Spiral Core

  • Lee, Ji-Young;Kim, Ji-Won;Woo, Byung-Chul;Kang, Do-Hyun
    • Journal of Magnetics
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    • v.18 no.2
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    • pp.111-116
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    • 2013
  • This paper presents a characteristic analysis method of a permanent magnet type transverse flux linear motor (TFLM) with spiral cores. The spiral cores are used as the mover cores in order to make 3-dimensional (3-D) magnetic flux paths at the TFLM which have 3-D magnetic flux flows. The 3-D Equivalent Magnetic Circuit Network Method is used to analyse the magnetic characteristics of the machine, and an imaginary part, 'flux barrier,' is introduced to consider the spiral core characteristic. Magnetic parameters such as flux, inductance, and thrust are calculated from the analysis results. The computed thrust forces are compared to measured values to confirm the accuracy of the analysis.

Characteristic Analysis of a Linear Induction Motor considering Static and Dynamic End Effect (정적 및 동적 단부효과를 고려한 선형유도전동기의 특성 해석)

  • Kim, Dae-Kyong;Kwon, Byung-Il;Woo, Kyung-Il
    • Proceedings of the KIEE Conference
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    • 2000.07b
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    • pp.981-983
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    • 2000
  • Linear induction motors have static and dynamic end effects due to its finite core length, so that per-phase impedances are asymmetric and the air gap flux distribution is distorted. Because of these points the d-q equivalent circuit model considering both end effects has not been exactly completed. So this paper proposes a characteristic analysis method considering both static and dynamic end effect of the LIM. This method is to utilize asymmetric d-q equivalent circuit model with dynamic end effect coefficient. As a result, it is shown that the simulation results have a good agreement with experimental ones.

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