• 제목/요약/키워드: Galerkin Method

검색결과 827건 처리시간 0.021초

공기갭과 유전체 덮개층을 갖는 이방성 기판 위의 마이크로스트립 패치 안테나의 공진 주파수 해석 (Resonant Frequency in Rectangular Microstrip Patch Antenna on Anisotropic Substrates with Airgap and Permittivity Superstrate)

  • 윤중한;이상목;곽경섭
    • 한국통신학회논문지
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    • 제26권11B호
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    • pp.1600-1606
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    • 2001
  • 공기갭과 유전체 덮개층을 갖는 이방성 매질 위의 마이크로스트립 안테나의 공진 주파수에 대해 해석하였다. 이방성 매질의 구성관계식으로부터 파수영역에서의 다이애덕 그린 함수를 유도하였고 이 결과를 퓨리에 변환을 사용하여 공간에서의 전계 적분 방정식을 수식화차였다. 갈러킨 모멘트법을 사용하여 적분 방정식을 이산화하였으며 실제 전류 밀도와 가장 유사한 정현적 함수를 기저함수로 선택하였다. 수치해석 결과의 타당성을 검증하기 위해 기존의 결과와 비교, 일치된 결과를 얻었으며 공기 갭의 두게, 패치 길이, 이방성 비의 변화에 따른 공진 주파수가 제시되고 분석되었다.

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Nonlocal dynamic modeling of mass sensors consisting of graphene sheets based on strain gradient theory

  • Mehrez, Sadok;Karati, Saeed Ali;DolatAbadi, Parnia Taheri;Shah, S.N.R.;Azam, Sikander;Khorami, Majid;Assilzadeh, Hamid
    • Advances in nano research
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    • 제9권4호
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    • pp.221-235
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    • 2020
  • The following composition establishes a nonlocal strain gradient plate model that is essentially related to mass sensors laying on Winkler-Pasternak medium for the vibrational analysis from graphene sheets. To achieve a seemingly accurate study of graphene sheets, the posited theorem actually accommodates two parameters of scale in relation to the gradient of the strain as well as non-local results. Model graphene sheets are known to have double variant shear deformation plate theory without factors from shear correction. By using the principle of Hamilton, to acquire the governing equations of a non-local strain gradient graphene layer on an elastic substrate, Galerkin's method is therefore used to explicate the equations that govern various partition conditions. The influence of diverse factors like the magnetic field as well as the elastic foundation on graphene sheet's vibration characteristics, the number of nanoparticles, nonlocal parameter, nanoparticle mass as well as the length scale parameter had been evaluated.

공기 갭을 갖는 일축성 매질 위에 마이크로스트립 패치 안테나의 덮개층 영향 (Dielectric Cover effect of Rectangular Microstrip Patch Antenna on Uniaxial Substrates with Airgap)

  • 윤중한;안규철;곽경섭
    • 대한전자공학회논문지TC
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    • 제38권9호
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    • pp.29-39
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    • 2001
  • 공기 캡을 갖는 일축성 이방성 매질 위의 마이크로스트립 안테나에 대해 유전체 덮개층이 미치는 영향에 관하여 연구하였다. 일축성 이방성 매질의 특성을 나타내는 텐서의 구성관계식으로부터 파수영역에서의 다이에딕 그린 함수를 유도하였으며 이 결과를 푸리에 변환을 사용하여 공간에서의 전계 적분 방정식으로 수식화하였다. 갈리킨 모멘트법을 사용하여 적분 방정식을 이산화하였으며 기저함수로는 정현적 함수를 선택하였다. 수치해석 결과의 타당성을 검증하기 위해 기존의 결과와 비교, 일치된 결과를 얻었으며 공기갭의 두께, 패치 길이 그리고 덮개층의 유전율과 두께 변화에 따라 유전체 덮개층이 공진 주파수, 대역폭과 입력 임피던스에 어떤 영향을 미치는지 제시되고 분석되었다.

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투과성 격벽을 이용한 수평 운동하는 사각형 탱크내의 슬로싱 감쇠 (Sloshing Damping in a Swaying Rectangular Tank Using a Porous Bulkhead)

  • 조일형
    • 한국해양공학회지
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    • 제32권4호
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    • pp.228-236
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    • 2018
  • The performance of a porous swash bulkhead for the reduction of the resonant liquid motion in a swaying rectangular tank was investigated based on the assumption of linear potential theory. The Galerkin method (Porter and Evans, 1995) was used to solve the potential flow model by adding a viscous frictional damping term to the free-surface condition. By comparing the experimental results and the analytical solutions, we verified that the frictional damping coefficient was 0.4. Darcy's law was used to consider the energy dissipation at a porous bulkhead. The tool that was developed with a built-in frictional damping coefficient of 0.4 was confirmed by small-scale experiments. Using this tool, the free-surface elevation, hydrodynamic force (added mass, damping coefficient) on a wall, and the horizontal load on a bulkhead were assessed for various combinations of porosity and submergence depth. It was found that the vertical porous bulkhead can suppress sloshing motions significantly when properly designed and by selecting the appropriate porosity(${\approx}0.1$) and submergence depth.

Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation

  • Barka, Merbouha;Benrahou, Kouider Halim;Bakora, Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제22권1호
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    • pp.91-112
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    • 2016
  • In this paper, post-buckling behavior of sandwich plates with functionally graded (FG) face sheets under uniform temperature rise loading is examined based on both sinusoidal shear deformation theory and stress function. It is supposed that the sandwich plate is in contact with an elastic foundation during deformation, which acts in both compression and tension. Thermo-elastic non-homogeneous properties of FG layers change smoothly by the variation of power law within the thickness, and temperature dependency of material constituents is considered in the formulation. In the present development, Von Karman nonlinearity and initial geometrical imperfection of sandwich plate are also taken into account. By employing Galerkin method, analytical solutions of thermal buckling and post-buckling equilibrium paths for simply supported plates are determined. Numerical examples presented in the present study discuss the effects of gradient index, sandwich plate geometry, geometrical imperfection, temperature dependency, and the elastic foundation parameters.

Computer-aided approach for modelling of FG cylindrical shell sandwich with ring supports

  • Hussain, Muzamal;Naeem, Muhammad Nawaz;Khan, Muhammad Shabaz;Tounsi, Abdelouahed
    • Computers and Concrete
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    • 제25권5호
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    • pp.411-425
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    • 2020
  • In this paper, the shell material has been taken as functionally graded material and their material quantity is located by the exponential volume fraction law. Moreover, the impact of ring supports around the shell circumference has been examined for their various positions along the shell axial length. These rings support restraints the radial displacement in the transverse direction. While the axial modal deformation functions have been estimated by characteristic beam functions and nature of materials used for construction of cylindrical shells. The fundamental natural frequency of cylindrical shell of parameter versus ratios of length- and height-to-radius for a wide range has been reported and investigated through the study. In addition, by increasing height-to-radius ratio resulting frequencies also increase and frequencies decrease on ratio of length-to-radius. Though the trends of frequency values of both ratios are converse to each other with three different boundary conditions. Also it is examined the position of ring supports with length-to radius ratio, height-to-radius ratio and varying the exponent of volume fraction. MATLAB software package has been utilized for extracting shell frequency spectra. The obtained results are confirmed by comparing with available literature.

CONTACT PRESSURE DISTRIBUTION OF RADIAL TIRE IN MOTION WITH CAMBER ANGLE

  • 김석남
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.387-394
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    • 2000
  • Theoretical and experimental study is conducted on the contact pressure distribution of a radial tire in motion under various camber angles. Tire construction is modelled by a spring bedded elastic ring, consisted of sidewall springs and a composite belt ring. The contact area is assumed to be a trapezoidal shape varying with camber angles and weighted load. The basic equation in a quasi-static form is derived for the deformation of a running belt with a constant velocity by the aid of Lagrange-Euler transformation. Galerkin's method and stepwise calculation are applied for solving the basic equation and the mechanical boundary condition along both sides of the contact belt part subjected to shearing forces transmitted from the sidewall spring. Experimental results on the contact pressure, measured by pressure sensors embedded in the surface of the drum tester, correspond well with the calculated ones for the test tire under various camber angles, running velocities and weighted loads. These results indicate that a buckling phenomenon of the contact belt in the widthwise direction occurs due to the effect of camber angle.

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복합재료 회전축의 진동 및 안정성 해석 (Vibration and Stability Analysis of Composite Spinning Shafts)

  • 서정석;안창기;박상윤;송오섭
    • 한국소음진동공학회논문집
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    • 제25권7호
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    • pp.510-517
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    • 2015
  • The free vibration and stability analysis of a spinning composite shaft modelled as a thin-walled closed beam is performed for several design parameters, such as ply angle, aspect ratio, and spin speed. The governing equations of spinning shafts based on the Timoshenko beam theory are derived via Hamilton's variational principle. Coriolis acceleration and anisotropy of constituent materials are incorporated in the derivation. The equations of motion are then transformed to the standard form of an eigenvalue problem for free vibration and stability analysis. Analytical results both for uniform circular cylindrical shaft and rectangular cross-section shaft are obtained by using extended Galerkin method, and the results are compared with those from FEM ANSYS analysis for a verification.

미고결 퇴적물의 지질공학적 특성에 대한 수치해석적 연구 (Numerical Analysis for the Geological Engineering Characteristics of Unconsolidated Sediment)

  • 조태진
    • 한국수산과학회지
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    • 제23권3호
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    • pp.215-224
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    • 1990
  • 포화상태인 물질의 역학적, 수리학적 거동을 연구할 수 있는 유한요소법적 수치해석모델을 개발하여 부산 남항 인근해역의 미고결 퇴적물의 거동을 분석하였다. 하중재하에 의한 상부세립 퇴적물의 역학적 변형은 공극수의 확산에 따른 공극수압의 수리학적 변화에 크게 영향을 받는 것으로 나타났다. 하중이 일정지역에 편재되어 있을 경우 포아송효과 및 과잉공극수압의 영향에 의해 하중을 직접 받지 않는 표층부분이 융기되며, 하중경계지역에서 멀어질수록 점근적으로 증가한다. 세립점토층에 비해 높은 투수성을 갖는 하부 모래층은 공극수확산의 통로역할을 하여 과잉공극수압의 소멸을 촉진시키며, 결과적으로 상부점토층 변형의 시간적 변화에도 영향을 끼친다.

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공기 갭과 덮개층을 갖는 이방성 매질 위의 사각 마이크로스트립 패치 안테나 공진 주파수의 파수 영역 해석 (Spectral Domain Analysis of Resonant Frequency in Rectangular Microstrip Patch Antenna on Uniaxial Substrates with Airgap and Superstrate)

  • 이상목;윤중한;김흥수
    • 전기전자학회논문지
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    • 제5권1호
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    • pp.91-99
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    • 2001
  • 공기 갭을 갖는 이방성 매질의 기판과 덮개층 구조에서 사각 마이크로스트립 안테나 공진 주파수의 파수 영역에 대해 해석하였다. 일축성 매질의 특성을 나타내는 텐서의 구성 관계식으로부터 파수영역에서의 다이애딕 그린 함수를 유도하였으며 이 결과를 푸리에 변환을 사용하여 공간에서의 전계 적분 방정식으로 수식화하였다. 캘러킨 모멘트법을 사용하여 적분 방정식을 이산화하였으며 기저함수로는 정현적 함수를 선택하였다. 수치해석 결과의 타당성을 검증하기 위해 기존의 결과와 비교, 일치된 결과를 얻었으며 공기 갭의 두께, 패치 길이 그리고 덮개층의 비유전율과 이방성 덮개층의 이방성 비의 변화에 따른 공진 주파수의 변화가 제시되고 분석되었다.

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