• Title/Summary/Keyword: boundary layer problem

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Precise Control for Servo Systems Using Sliding Mode Observer and Controller (슬라이딩 모드 관측기와 제어기를 이용한 서보시스템의 정밀제어)

  • Han, Seong-Ik;Gong, Jun-Hui;Sin, Dae-Wang;Kim, Jong-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.7
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    • pp.154-162
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    • 2002
  • The effect of nonlinear friction in the low velocity is dominant in precise controlled mechanisms and it is difficult to model. This paper is concerned with the compensation for friction using the variable structure system approach as nonmodel based method. The problem of chattering in the sliding mode controller is suppressed by the implementation of the boundary layer concept. And the estimation for friction using sliding mode observer makes the upper bound of matched uncertainty reduced. Accordingly, the effect of chattering can be more suppressed. And the sliding surface is constructed by adding an integral component to the switching function that is made by using error dynamics. This sliding surface guarantees the good tracking performance. Experimental results for a XY table system show that the proposed method has a good performance especially in the low velocity.

Fracture Mechanics Analysis of Cracked Plate Repaired by Patch(II) - The Analysis of Debonding Effect - (보강재로 보수된 균열평판의 파괴역학적 해석(II)-분리 영향에 대한 연구-)

  • Jeong, Gi-Hyeon;Yang, Won-Ho;Jo, Myeong-Rae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.9 s.180
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    • pp.2246-2251
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    • 2000
  • Adhesive bonding repair methods has been used for a number of decades for construction of damaged structures. In order to evaluate the life of cracked aging aircraft structures, the repair technique which uses adhesively bonded boron/epoxy composite patches is being widely considered as a cost-effective and reliable method. But, this repair method contains many shortcomings. One of these shortcomings, debonding is major issue. When the adhesive shear stress increases, debonding is caused at the end of patch and plate interface. And this debonding is another defect except cracks propagation. In this paper, we assess safety at the cracked AI-plate repaired by Br/Epoxy composite patch. Firstly, from the view of fracture mechanics, reduction of stress intensity factors is determined by the variety of patch feature. Secondly, using the elastic analysis and finite element analysis, the distribution of adhesive shear stresses is acquired. Finally, The problem of how to optimize the geometric configurations of the patch has been discussed.

Seismic reliability analysis of structures based on cumulative damage failure mechanism

  • Liu, Qiang;Wang, Miaofang
    • Earthquakes and Structures
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    • v.18 no.4
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    • pp.519-526
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    • 2020
  • Non-stationary random seismic response and reliability of multi-degree of freedom hysteretic structure system are studied based on the cumulative damage failure mechanism. First, dynamic Eqs. of multi-degree of freedom hysteretic structure system under earthquake action are established. Secondly, the random seismic response of a multi-degree freedom hysteretic structure system is investigated by the combination of virtual excitation and precise integration. Finally, according to the damage state level of structural, the different damage state probability of high-rise frame structure is calculated based on the boundary value of the cumulative damage index in the seismic intensity earthquake area. The results show that under the same earthquake intensity and the same floor quality and stiffness, the lower the floor is, the greater the damage probability of the building structure is; if the structural floor stiffness changes abruptly, the weak layer will be formed, and the cumulative damage probability will be the largest, and the reliability index will be relatively small. Meanwhile, with the increase of fortification intensity, the reliability of three-level structure fortification is also significantly reduced. This method can solve the problem of non-stationary random seismic response and reliability of high-rise buildings, and it has high efficiency and practicability. It is instructive for structural performance design and estimating the age of the structure.

An instability criterion for viscoelastic flow past a confined cylinder

  • Dou, Hua-Shu;Phan-Thien, Nhan
    • Korea-Australia Rheology Journal
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    • v.20 no.1
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    • pp.15-26
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    • 2008
  • It has been known that there is a viscoelastic instability in the channel flow past a cylinder at high Deborah (De) number. Some of our numerical simulations and a boundary layer analysis indicated that this instability is related to the shear flow in the gap between the cylinder and the channel walls in our previous work. The critical condition for instability initiation may be related to an inflection velocity profile generated by the normal stress near the cylinder surface. At high De, the elastic normal stress coupling with the streamline curvature is responsible for the shear instability, which has been recognized by the community. In this study, an instability criterion for the flow problem is proposed based on the analysis on the pressure gradient and some supporting numerical simulations. The critical De number for various model fluids is given. It increases with the geometrical aspect ratio h/R (half channel width/cylinder radius) and depends on a viscosity ratio ${\beta}$(polymer viscosity/total viscosity) of the model. A shear thinning first normal stress coefficient will delay the instability. An excellent agreement between the predicted critical Deborah number and reported experiments is obtained.

Optimal Design of a Plate-Fin Heat Sink with Slip Flow (경계면 슬립이 적용되는 Plate-Fin Heat Sink 의 최적형상 설계)

  • Park, Boo Seong;Park, Hyun Jin;Kim, Bo Hung
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.2
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    • pp.219-227
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    • 2015
  • A dehumidifier using a thermoelement has many advantages compare to a dehumidifier using compressor systems. However, it is crucial to optimize the performance of heat sink for improving heat dissipation problem on the heat generation part. In this study, we utilized computational fluid dynamics software to compare Nusselt number, temperature and system efficiency based on fin thickness, flow gap between fin and fin length. Moreover, slip flow on the boundary layer was applied for the further analysis. Our objective in this study is to suggest an optimal fin shape to improve heat transfer with the tendency of performance factor depending on change of the shapes. Our results on the optimization of fin shape and analysis of slip flow will be utilized to enhance the heat transfer in the heat sink which is important in the design of dehumidifier using a thermoelement.

Mode Propagation in X-Ray Waveguides

  • Choi, J.;Jung, J.;Kwon, T.
    • Journal of the Optical Society of Korea
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    • v.12 no.2
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    • pp.112-117
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    • 2008
  • Single-mode propagation conditions of X-ray waveguides are investigated by numerical calculations in order to understand the importance of waveguide design parameters, such as core thickness and the optical constants of waveguide materials, on the transmission and coherence properties of the waveguide. The simulation code for mode analyzing is developed based on a numerical solution of the parabolic wave equation. The initial boundary value problem is solved numerically using a finite-difference scheme based on the Crank-Nicolson scheme. The E-field intensities in a core layer are calculated at an X-ray energy of 8.0 keV for air and beryllium(Be) core waveguides with different cladding layers such as Pt, Au, W, Ni and Si to determine the dependence on waveguide materials. The highest E-field intensity radiated at the exit of the waveguide is obtained from the Pt cladded beryllium core with a thickness of 20 nm. However, the intensity from the air core waveguide with Pt cladding reaches 64% of the Be-Pt waveguide. The dependence on the core thickness, which is the major parameter used to generate a single mode in the waveguide, is investigated for the air-Pt, and Be-Pt waveguides at an X-ray energy of 8.0 keV. The mode profiles at the exit are shown for the single mode at a thickness of up to 20 nm for the air-Pt and the Be-Pt waveguides.

IMPROVEMENT OF CUPID CODE FOR SIMULATING FILMWISE STEAM CONDENSATION IN THE PRESENCE OF NONCONDENSABLE GASES

  • LEE, JEHEE;PARK, GOON-CHERL;CHO, HYOUNG KYU
    • Nuclear Engineering and Technology
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    • v.47 no.5
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    • pp.567-578
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    • 2015
  • In a nuclear reactor containment, wall condensation forms with noncondensable gases and their accumulation near the condensate film leads to a significant reduction in heat transfer. In the framework of nuclear reactor safety, the film condensation in the presence of noncondensable gases is of high relevance with regards to safety concerns as it is closely associated with peak pressure predictions for containment integrity and the performance of components installed for containment cooling in accident conditions. In the present study, CUPID code, which has been developed by KAERI for the analysis of transient two-phase flows in nuclear reactor components, is improved for simulating film condensation in the presence of noncondensable gases. In order to evaluate the condensate heat transfer accurately in a large system using the two-fluid model, a mass diffusion model, a liquid film model, and a wall film condensation model were implemented into CUPID. For the condensation simulation, a wall function approach with a heat/mass transfer analogy was applied in order to save computational time without considerable refinement for the boundary layer. This paper presents the implemented wall film condensation model, and then introduces the simulation result using the improved CUPID for a conceptual condensation problem in a large system.

PMSM Sensorless Speed Control Using a High Speed Sliding Mode Observer (고속 슬라이딩모드 관측기를 이용한 PMSM 센서리스 속도제어)

  • Son, Ju-Beom;Kim, Hong-Ryel;Seo, Young-Soo;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.3
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    • pp.256-263
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    • 2010
  • The paper proposes a sensorless speed control strategy for a PMSM (Permanent Magnet Synchronous Motor) based on a new SMO (Sliding Mode Observer), which substitutes a signum function with a sigmoid function. To apply robust sensorless control of PMSM against parameter fluctuations and disturbance, the high speed SMO is proposed, which estimates the rotor position and angular velocity from the back EMF. The low-pass filter and additional position compensation of the rotor are used to reduce the chattering problem commonly found in sliding mode observer with signum function, which becomes possible by applying the sigmoid function with the control of a switching function. Also the proposed sliding mode observer with the sigmoid function has better efficiency than the conventional sliding mode observer since it adjusts the observer gain by variable boundary layer and estimates the stator resistance. The stability of the proposed sliding mode observer is verified by the Lyapunov second method in determining the observer gain. The validity of the proposed high speed PMSM sensorless velocity control has been demonstrated by real experiments.

A novel and simple HSDT for thermal buckling response of functionally graded sandwich plates

  • Elmossouess, Bouchra;Kebdani, Said;Bouiadjra, Mohamed Bachir;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.62 no.4
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    • pp.401-415
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    • 2017
  • A new higher shear deformation theory (HSDT) is presented for the thermal buckling behavior of functionally graded (FG) sandwich plates. It uses only four unknowns, which is even less than the first shear deformation theory (FSDT) and the conventional HSDTs. The theory considers a hyperbolic variation of transverse shear stress, respects the traction free boundary conditions and contrary to the conventional HSDTs, the present one presents a new displacement field which includes undetermined integral terms. Material characteristics and thermal expansion coefficient of the sandwich plate faces are considered to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are supposed as uniform, linear and non-linear temperature rises within the thickness direction. An energy based variational principle is used to derive the governing equations as an eigenvalue problem. The validation of the present work is carried out with the available results in the literature. Numerical results are presented to demonstrate the influences of variations of volume fraction index, length-thickness ratio, loading type and functionally graded layers thickness on nondimensional thermal buckling loads.

Heat Transfer on a Heated Flat Plate by an Impinging Round Jet Using Liquid Crystal (Liquid Crystal을 이용한 원형충돌분류의 전열특성 연구)

  • 오승묵;이상준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.8
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    • pp.1566-1574
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    • 1992
  • Local heat transfer characteristics for a round air jet impinging normally on a heated flat plate were experimentally investigated. The problem parameters investigated were jet Reynolds number, Re=4000,10000, and 20000, and nozzle-to-plate spacing(L/D) of 2,6, and 10. The temperature variations on the flat uniform heat flux surface were mapped using a thermo-sensitive liquid crytal sheet. The isochromatic images corresponding to the characteristic temperature of liquid crystal were analyzed with the help of a digital image processing system. The local Nusselt number, Nu decreased rapidly in the impingement region and exhibited a similar profiles in the wall jet region independent of the nozzle-to-plate spacing L/D. In the case of large Reynolds number, heat transfer rate (Nu) was proportional to 0.5 power of the Reynolds number. For L/D=2, a secondary peak in the heat transfer rate was seen in the region of X/D=1.5~3 due to the transition from laminar to turbulent boundary layer.