• Title/Summary/Keyword: boundary layer integral

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A quasi 3D solution for thermodynamic response of FG sandwich plates lying on variable elastic foundation with arbitrary boundary conditions

  • Bouiadjra, Rabbab Bachir;Mahmoudi, Abdelkader;Sekkal, Mohamed;Benyoucef, Samir;Selim, Mahmoud M.;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
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    • v.41 no.6
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    • pp.873-886
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    • 2021
  • In this paper, an analytical solution for thermodynamic response of functionally graded (FG) sandwich plates resting on variable elastic foundation is performed by using a quasi 3D shear deformation plate theory. The displacement field used in the present study contains undetermined integral terms and involves only four unknown functions with including stretching effect. The FG sandwich plate is considered to be subject to a time harmonic sinusoidal temperature field across its thickness with any combined boundary conditions. Equations of motion are derived from Hamilton's principle. The numerical results are compared with the existing results of quasi-3D shear deformation theories and an excellent agreement is observed. Several numerical examples for fundamental frequency, deflection, stress and variable elastic foundation parameter's analysis of FG sandwich plates are presented and discussed considering different material gradients, layer thickness ratios, thickness-to-length ratios and boundary conditions. The results of the present study reveal that the nature of the elastic foundation, the boundary conditions and the thermodynamic loading affect the response of the FG plate especially in the case of a thick plate.

2D and quasi 3D computational models for thermoelastic bending of FG beams on variable elastic foundation: Effect of the micromechanical models

  • Merzoug, Mostafa;Bourada, Mohamed;Sekkal, Mohamed;Abir, Ali Chaibdra;Chahrazed, Belmokhtar;Benyoucef, Samir;Benachour, Abdelkader
    • Geomechanics and Engineering
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    • v.22 no.4
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    • pp.361-374
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    • 2020
  • This paper is concerned with the thermoelastic bending of FG beams resting on two-layer elastic foundations. One of these layers is Winkler springs with a variable modulus while the other is considered as a shear layer with a constant modulus. The beams are considered simply supported and subjected to thermo-mechanical loading. Temperature-dependent material properties are considered for the FG beams, which are assumed to be graded continuously across the panel thickness. The used theories contain undetermined integral terms which lead to a reduction of unknowns functions. Several micromechanical models are used to estimate the effective two-phase FG material properties as a function of the particles' volume fraction considering thermal effects. Analytical solutions for the thermo-mechanical bending analysis are obtained based on Navier's method that satisfies the boundary conditions. Finally, the numerical results are provided to reveal the effect of explicit micromechanical models, geometric parameters, temperature distribution and elastic foundation parameters on the thermoelastic response of FG beams.

Robust Nonlinear Speed Control of PM Synchronous Motor using Adaptive and Sliding Mode Control Techniques (적응제어와 슬라이딩제어를 이용한 영구자석 동기전동기의 비선형 강인제어)

  • 백인철;김경화;윤명중
    • Proceedings of the KIPE Conference
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    • 1997.07a
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    • pp.70-78
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    • 1997
  • A DSP-based nonlinear speed control of a permanent magnet synchronous motor(PMSM) which is robust to unknown parameter variations and speed measurement error is presented. The model reference adaptive system(MRAS) based adaptation mechanisms for the estimation of slowly varying parameters are derived using the Lyapunov stability theory. For the disturbances or quickly varying parameters, a quasi-linearized and decoupled model including the influence of parameter variations and speed measurement error on the nonlinear speed control of the PMSM is derived. Based on this model, a boundary layer integral sliding mode controller to improve the robustness and performance of a PMSM drive is designed and compared with the conventional controller. To show the validity of the proposed control scheme, simulations and experimental works are carried out and compared with the conventional control scheme.

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DSP-based Robust Nonlinear Speed Control of PM Synchronous Motor

  • Baik, In-Cheol;Kim, Kyeong-Hwa;Youn, Myung-Joong
    • Journal of Electrical Engineering and information Science
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    • v.3 no.1
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    • pp.94-102
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    • 1998
  • A DSP-based robust nonlinear speed control of a permanent magnet synchronous motor(PMSM) is presented. A quasi-linearized and decoupled model including the influence of parameter variations and speed measurement error on the nonlinear speed control of a PMSM is derived. Based on this model, a boundary layer integral sliding mode controller to improve the robustness and performance of the nonlinear speed control of a PMSM is designed and compared with the conventional controller. To show the validity of the proposed control scheme, simulations and experimental works are carried out and compared with the conventional control scheme.

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Stress Intensity Factors of Center Cracked Laminated Composites under Uniaxial Tension (단순인장을 받는 복합 적층재 중앙균열의 응력확대계수)

  • 김성호;오재협;옹장우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1611-1619
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    • 1991
  • 본 연구에서는 Hilton과 Sih의 경우를 확장 적용하여 Fig. 1(b)와 같이 탄성 층 내부에 존재하는 중앙균열선단의 응력확대계수 산출을 위하여 균열부위를 제외하고 는 섬유층과 레진층이 완전히 접착되었다고 가정한 모델을 다음과 같이 설정하였다. 중앙균열을 내재하고 있는 복합재료의 역학적 거동을 해석하기 위하여, 접착레진을 주 로하는 층(resin rich layer)을 중심으로 하여 상하 각1개의 섬유 (fiber)층과 균질한 특성을 갖는 복합재료의 층으로 단순화 하였으며, 이러한 단순화는 적층재에서의 균열 주위의 국부응력을 해석하기 위한 것으로서 복합재료는 레진층이나 섬유층에 비하여 매우 두꺼우므로 반무한체로 이상화 하였다. 선형탄성 이론에 의하여 혼합 경계조건 문제(mixed boundary value problem)로 부터 제2종 Fredholm적분방정식(fredholm int- egral equation of a second kind)을 유도하였으며 수치해석적인 방법에 의하여 응력 확대계수를 구하였다.

The Improved Binary Disturbance Observer for the Position Control of Induction Motors (유도전동기의 위치제어를 위한 개선된 바이너리 외란관측기)

  • 한윤석;김영석;김상욱
    • Proceedings of the KIPE Conference
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    • 1998.07a
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    • pp.249-254
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    • 1998
  • A control approach for the robust position control of induction motors based on the improved binary disturbance observer is described. The conventional binary disturbance observer is used to remove the chattering problem of a sliding mode disturbance observer. However, the steady state error may be existed in the conventional binary disturbance observer because it estimates external disturbance with a constant boundary layer. In order to overcome this problem, a new binary disturbance observer with an integral augmented switching hyperplane is improved. The robustness is achieved, and the continuous control is realised by employing the improved observer without the chattering problem and the steady state error. The effectiveness of the improved observer is confirmed by the comparative experimental results.

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The Robust Position Control of Induction Motors using a Binary Disturbance Observer (바이너리 외란관측기를 이용한 유도전동기의 견실한 위치제어)

  • Han, Yun-Seok;Choe, Jeong-Su;Kim, Yeong-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.4
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    • pp.203-211
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    • 1999
  • A control approach for the robust position control of induction motors based on the binary disturbance observer is described. The conventional binary disturbance observer is used to remove the chattering problem of a sliding mode disturbance observer. However, the steady state error may exist in the conventional binary disturbance observer because it estimates external disturbance with a constant boundary layer. In order to overcome this problem, new binary disturbance observer with an integral augmented switching hyperplane is proposed. The robustness is achieved, and the continuous control is realized by employing the proposed observer without the chattering problem and the steady state error. The effectiveness of the proposed observer is confirmed by the comparative experimental results.

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Soil-Structure Interaction Analysis in the Time Domain Using Explicit Frequency-Dependent Two Dimensional Infinite Elements (명시적 주파수종속 2차원 무한요소를 사용한 지반-구조물 상호작용의 시간영역해석)

  • 윤정방;김두기
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.42-49
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    • 1997
  • In this paper, the method for soil-structure interaction analyses in the time domain is proposed. The far field soil region which is the outside of the artificial boundary is modeled by using explicit frequency-dependent two dimensional infinite elements which can include multiple wave components propagating into the unbounded medium. Since the dynamic stiffness matrix of the far field soil region using the proposed infinite elements is obtained explicitly in terms of exciting frequencies and constants in the frequency domain, the matrix can be easily transformed into the displacement unit-impulse response matrix, which corresponds to a convolution integral of it in the time domain. To verify the proposed method for soil-structure interaction analyses in the time domain, the displacement responses due to an impulse load on the surface of a soil layer with the rigid bed rock are compared with those obtained by the method in the frequency domain and those by models with extend finite element meshes. Good agreements have been found between them.

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DSP-based Robust Nonlinear Speed Control of PM Synchronous Motor Using Adaptive and Sliding Mode Control Techniques

  • Baik, In-Cheol;Kyeong-Hwa;Kwan-Yuhl;Youn, Myung-Joong
    • Journal of Electrical Engineering and information Science
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    • v.3 no.2
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    • pp.251-260
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    • 1998
  • A DSP-based robust nonlinear speed control of a permanent magnet synchronous motor(PMSM) which is robust to unknown parameter variations and speed measurement error is presented. The model reference adaptive system(MRAS) based adaptation mechanisms for the estimation of slowly varying parameters are derived using the Lyapunov stability theory. For the disturbances or quickly varying parameters. a quasi-linearized and decoupled model including the influence of parameter variations and speed measurement error on the nonlinear speed control of a PMSM is derived. Based on this model, a boundary layer integral sliding mode controller to improve the robustness and performance of the nonlinear speed control of a PMSM is designed and compared with the conventional controller. To show the validity of the proposed control scheme, simulations and experimental works are carried out and compared with the conventional control scheme.

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Free-Stream Turbulence Effect on the Heat (Mass) Transfer Characteristics on a Turbine Rotor Surface (자유유동 난류강도가 터빈 동익 표면에서의 열(물질)전달 특성에 미치는 영향)

  • Lee, Sang-Woo;Park, Jin-Jae;Kwon, Hyun-Goo;Park, Byung-Kyu
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1442-1446
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    • 2004
  • The heat (mass) transfer characteristics on the blade surface of a first-stage turbine rotor cascade has been investigated by employing the naphthalene sublimation technique. A four-axis profile measurement system is employed for the measurements of the local heat (mass) transfer coefficient on the curved blade surface. The experiments are carried out for two free-stream turbulence intensities of 1.2% and 14.7%. The high free-stream turbulence results in more uniform distributions of heat load on the both pressure and suction surfaces and in an early boundary-layer separation on the suction surface. The heat (mass) transfer enhancement on the suction surface due to the endwall vortices is found to be relatively small under the high free-stream turbulence.

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