• Title/Summary/Keyword: Two-dimensional order

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Application of shear deformation theory for two dimensional electro-elastic analysis of a FGP cylinder

  • Arefi, M.;Rahimi, G.H.
    • Smart Structures and Systems
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    • v.13 no.1
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    • pp.1-24
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    • 2014
  • The present study deals with two dimensional electro-elastic analysis of a functionally graded piezoelectric (FGP) cylinder under internal pressure. Energy method and first order shear deformation theory (FSDT) are employed for this purpose. All mechanical and electrical properties except Poisson ratio are considered as a power function along the radial direction. The cylinder is subjected to uniform internal pressure. By supposing two dimensional displacement and electric potential fields along the radial and axial direction, the governing differential equations can be derived in terms of unknown electrical and mechanical functions. Homogeneous solution can be obtained by imposing the appropriate mechanical and electrical boundary conditions. This proposed solution has capability to solve the cylinder structure with arbitrary boundary conditions. The previous solutions have been proposed for the problem with simple boundary conditions (simply supported cylinder) by using the routine functions such as trigonometric functions. The axial distribution of the axial displacement, radial displacement and electric potential of the cylinder can be presented as the important results of this paper for various non homogeneous indexes. This paper evaluates the effect of a local support on the distribution of mechanical and electrical components. This investigation indicates that a support has important influence on the distribution of mechanical and electrical components rather than a cylinder with ignoring the effect of the supports. Obtained results using present method at regions that are adequate far from two ends of the cylinder can be compared with previous results (plane elasticity and one dimensional first order shear deformation theories).

Two-dimensional model analysis for the pulse tube of rotating pulse tube refrigerator (회전하는 맥동관 냉동기의 맥동관에 대한 2차원 모델 해석)

  • Chai J.;Jeong S.;Jeong Eun-Soo
    • Progress in Superconductivity and Cryogenics
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    • v.8 no.3
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    • pp.63-69
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    • 2006
  • This paper describes the effect of rotating frequency on the pulse tube of Stirling type pulse tube refrigerator. Various conditions were analyzed by two-dimensional analysis with several dominant non-dimensional parameters. With the additional pressure term influenced by centrifugal force in rotating condition, the linearized conservation equations of mass, momentum, energy of the gas were solved to obtain the first order variables and calculate the enthalpy flow in rectangular coordinates. The rotational effect in pulse tube for the refrigerator's performance were quantitatively evaluated. According to the first order analysis, the enthalpy flow decreases with the rotating speed.

Two-Dimensional Thermo-Viscopiastic Finite Element Analysis of Free Forginf for Large Ingot Considerinf Internal Contact Treament on One Deforming Body (변형하는 동일물체간의 접촉처리를 고려한 대형강괴 자유단조의 2차원 열점소성 유한요소해석)

  • 박치용;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.10a
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    • pp.102-108
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    • 1995
  • Internal contact scheme between two free surfaces on one deforming body has been proposed by using the penalty method. It has been imposed to be internal boundary condition on two-dimensional thermo-viscoplastic finite element method so as to analyze one deforming body, which has two free surfaces penetrating each others. Analysis of side pressing with a circular void and a inclined elliptic hole have been carried out in order to verity the proposed contact scheme. A finite element code imposed internal boundary condition has been applied to two-dimensional analysis of free forging of large ingot with a void. Through the analysis, effects of working parameters in order to consolidate voids have been investigated.

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Design and analysis of two-dimensional binary phase masks for the fabrication of two-and three-dimensional periodic structures (2차원 및 3차원의 주기적인 구조 제작을 위한 2차원 이진 위상마스크의 설계와 분석)

  • 김남식;원영희;고근하;조두진
    • Korean Journal of Optics and Photonics
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    • v.12 no.1
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    • pp.17-24
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    • 2001
  • Two-dimensional binary-phase diffraction gratings which can be employed to fabricate two- and three-dimensional periodic structures are designed and analyzed using rigorous coupled-wave analysis. These gratings serve as phase-masks which generate several diffracted waves from a normally incident beam and thus can produce a periodic interference pattern in space via nearfield holography. The properties of the diffracted beams can be controlled by varying the polarization and wavelength of the incident beam, surface-profile, groove depth and duty cycle of the mask. For the two-dimensional structure, optimum results can be obtained when the diffraction efficiency of the zero-order beam is minimized while that of the first-order maximized. On the other hand, when the diffraction efficiency of the zero-order is appreciable or even greater than other orders, we can obtain a variety of three-dimensional interference patterns which may be used to fabricate photonic crystals of tetragonal-body-centered and hexagonal structures in a submicron scale. scale.

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Zeroth-Order Shear Deformation Micro-Mechanical Model for Periodic Heterogeneous Beam-like Structures

  • Lee, Chang-Yong
    • Journal of Power System Engineering
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    • v.19 no.3
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    • pp.55-62
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    • 2015
  • This paper discusses a new model for investigating the micro-mechanical behavior of beam-like structures composed of various elastic moduli and complex geometries varying through the cross-sectional directions and also periodically-repeated along the axial directions. The original three-dimensional problem is first formulated in an unified and compact intrinsic form using the concept of decomposition of the rotation tensor. Taking advantage of two smallness of the cross-sectional dimension-to-length parameter and the micro-to-macro heterogeneity and performing homogenization along dimensional reduction simultaneously, the variational asymptotic method is used to rigorously construct an effective zeroth-order beam model, which is similar a generalized Timoshenko one (the first-order shear deformation model) capable of capturing the transverse shear deformations, but still carries out the zeroth-order approximation which can maximize simplicity and promote efficiency. Two examples available in literature are used to demonstrate the consistence and efficiency of this new model, especially for the structures, in which the effects of transverse shear deformations are significant.

Noise Reduction and C-Scan Image Shaping of Ultrasonic Signal for Welding Quality Inspection (용접 품질 검사를 위한 초음파 신호의 노이즈 제거 및 C-Scan 영상 형상화)

  • Kim, Tae-Kyu;SEO, JONGDOCK;Lee, Dong-Hyung;Kang, Eon-uck;Kwon, Seong-Geun
    • Journal of Korea Multimedia Society
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    • v.20 no.10
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    • pp.1662-1670
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    • 2017
  • A-Scan NDT equipment is widely used in the industrial field because it is inexpensive and easy to carry but it is necessary to have a skilled inspection specialist who is trained to analyze the waveform of ultrasonic signal. Since the welding quality is judged subjectively by the specialist, there is a problem in the reliability of the quality. In the C-Scan NDT which overcomes the shortcomings of the A-Scan, welding part can be represented in the form of two dimensional image by combining one dimensional ultrasonic waveform so that the quality of welding can be grasped without the help of specialist. In order to develop C-Scan NDT, it is necessary to develop an array type two dimensional transducer and an algorithm to composing image by combining ultrasonic signals generated from a two dimensional transducer. In addition, the noise component must be minimized in the ultrasonic signal in order to display the quality of welding in the form of images. Therefore we propose a method to remove noise component from the ultrasonic wave and construct a two dimensional ultrasonic image.

2D Grid Map Compensation using an ICP Algorithm (ICP 알고리즘을 이용한 2차원 격자지도 보정)

  • Lee, Dong-Ju;Hwang, Yu-Seop;Yun, Yeol-Min;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.11
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    • pp.1170-1174
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    • 2014
  • This paper suggests using the ICP (Iterative Closet Point) algorithm to compensate a two-dimensional map. ICP algorithm is a typical algorithm method using matching distance data. When building a two-dimensional map, using data through the value of a laser scanner, it occurred warping and distortion of a two-dimensional map because of the difference of distance from the value of the sensor. It uses the ICP algorithm in order to reduce any error of line. It validated the proposed method through experiment involving matching a two-dimensional map based reference data and measured the two-dimensional map.

On a Two Dimensional Linear Programming Knapsack Problem with the Extended GUB Constrain (확장된 일반상한제약을 갖는 이차원 선형계획 배낭문제 연구)

  • Won, Joong-Yeon
    • Journal of Korean Institute of Industrial Engineers
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    • v.27 no.1
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    • pp.25-29
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    • 2001
  • We present a two dimensional linear programming knapsack problem with the extended GUB constraint. The presented problem is an extension of the cardinality constrained linear programming knapsack problem. We identify some new properties of the problem and derive a solution algorithm based on the parametric analysis for the knapsack right-hand-side. The solution algorithm has a worst case time complexity of order O($n^2logn$). A numerical example is given.

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DECOUPLING OF MULTI-INPUT MULTI-OUTPYT TWO DIMENSIONAL SYSTEMS

  • Kawakami, Atsushi
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1130-1134
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    • 1990
  • In this paper, we propose a mthod to decouple the multi-input multi-output two-dimensional system. Then, we analyze the realization dimension of the feedback, feedforward given to decouple. Moreover, we consider the possibility of the reduction of the dynamical dimension needed to decouple. Besides, in order to stabilize the decoupled two-dimensional system, we suggest a method to assign the poles of each entry of the transfer function matrix to the desired positions.

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Application of the Genetic Algorithm to the Layout Problem of the Pane Considering Rotation (회전을 고려한 판재 배치 문제의 유전 알고리즘 적용)

  • 이금탁;김훈모
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.5
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    • pp.376-382
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    • 2000
  • A problem of relevant interest to some industries is that of the optimum two-dimensional layout. In this problem, one is given a number of rectangular sheets and an order for a specified number of each of certain types of two-dimensional regular and irregular shapes. The aim is to cut the shapes out of the sheets in such a way as to minimize the amount of waste produced. In this paper, we propose a genetic algorithms using rotation parameters by which the best pattern of layout is found.

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