• 제목/요약/키워드: symmetric element

검색결과 434건 처리시간 0.027초

Free vibration and elastic analysis of shear-deformable non-symmetric thin-walled curved beams: A centroid-shear center formulation

  • Kim, Nam-Il;Kim, Moon-Young
    • Structural Engineering and Mechanics
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    • 제21권1호
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    • pp.19-33
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    • 2005
  • An improved shear deformable thin-walled curved beam theory to overcome the drawback of currently available beam theories is newly proposed for the spatially coupled free vibration and elastic analysis. For this, the displacement field considering the shear deformation effects is presented by introducing displacement parameters defined at the centroid and shear center axes. Next the elastic strain and kinetic energies considering the shear effects due to the shear forces and the restrained warping torsion are rigorously derived. Then the equilibrium equations are consistently derived for curved beams with non-symmetric thin-walled sections. It should be noticed that this formulation can be easily reduced to the warping-free beam theory by simply putting the sectional properties associated with warping to zero for curved beams with L- or T-shaped sections. Finally in order to illustrate the validity and the accuracy of this study, finite element solutions using the isoparametric curved beam elements are presented and compared with those in available references and ABAQUS's shell elements.

2개의 란쥬반형 진동자를 이용한 선형 초음파 모터의 설계 및 FEA해석 (Design and FEA of Linear Ultrasonic Motor Using Two Langevin Type Vibrator)

  • 최명일;박태곤;김명호
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2002년도 하계학술대회 논문집 Vol.3 No.2
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    • pp.634-637
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    • 2002
  • Transducer for linear ultrasonic motor with symmetric and anti-symmetric modes was studied. The transducer was composed of two Langevin-type vibrators. In order to excite two vibration modes, Two Langevin-type vibrators must have 90-degree phase difference with each other. As result, tip of transducers moves in elliptical motion. In this paper, vibration shape of transducer was simulated and The resonant frequency and maximum displacement were calculated using the FEA (Finite Element Analysis).

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Langevin 진동자를 이용한 선형 초음파 모터의 특성 (A Characteristic of Linear Ultrasonic Motor using Langevin Type Transducer)

  • 서산동;박태곤
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.2
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    • pp.627-630
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    • 2004
  • Transducer for linear ultrasonic motor with symmetric and anil anti-symmetric modes was studied. The transducer was composed of two Langevin-type vibrators that cross at right angles with each other at tip. In order to excite two vibration modes, two Langevin-type vibrators must have 90-degree phase difference with each other. As a result, tip of transducers moves in elliptical motion. Elliptical trajectoric of transducer was analyzed by employing the finite element method. From these results, the ultrasonic motor was fabricated and was measured for characteristics. In this paper compared an ANSYS analysis with an experiment results. The no-road maximum speed was 113.1[cm/s].

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Bimorph 형 선형 초음파 모터 (Linear Ultrasonic Motor by Bimorph)

  • 서산동;박태곤
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2004년도 추계학술대회 논문집 Vol.17
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    • pp.404-407
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    • 2004
  • Linear ultrasonic motor by bimorph. Transducer for linear ultrasonic motor with symmetric and anti-symmetric modes was studied. The transducer was composed of two piezoelectric ceramic that cross at right angles with each other at tip. In order to exist length vibration mode two piezoelectric ceramics must have 90-degree phase difference with each other. As a result, tip of transducer moves in elliptical motion. Elliptical trajectory of transducer was analyzed by employing the (mite element method(FEM). From the result, the linear ultrasonic motor was measured for characteristics. In this paper, vibration shape of transducer was simulated and the resonant frequency, stabilization frequency and maximum displacement were calculated using the FEA.

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TOWARDS UNIQUENESS OF MPR, THE MALVENUTO-POITIER-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS

  • Hazewinkel, Michiel
    • 호남수학학술지
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    • 제29권2호
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    • pp.119-192
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    • 2007
  • A very important Hopf algebra is the graded Hopf algebra Symm of symmetric functions. It can be characterized as the unique graded positive selfdual Hopf algebra with orthonormal graded distinguished basis and just one primitive element from the distinguished basis. This result is due to Andrei Zelevinsky. A noncommutative graded Hopf algebra of this type cannot exist. But there is a most important positive graded Hopf algebra with distinguished basis that is noncommutative and that is twisted selfdual, the Malvenuto-Poirier-Reutenauer Hopf algebra of permutations. Thus the question arises whether there is a corresponding uniqueness theorem for MPR. This prepreprint records initial investigations in this direction and proves that uniquenees holds up to and including the degree 4 which has rank 24.

스윙암 방식을 이용한 대형 광학부품 연마가공기 개발 (Development of a Swing-Arm Type Polishing Machine for Large Optics)

  • 김진욱;김옥현
    • 한국기계가공학회지
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    • 제7권2호
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    • pp.3-7
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    • 2008
  • A polishing machine adopting a new unique structural mechanism has been developed, named as a swing-arm type polishing machine. The mechanism is such that the tool path tracks on a spherical surface, of which the diameter is adjusted by setting up the machine mechanism properly. It has a strong benefit especially for polishing axis-symmetric concave mirror surfaces. The swing-arm type polishing machine with 5-axes has been designed in order to polish a concave mirror surface lip to diameter of 2 meters. The drawings are made using 3D CAD and strain-stress analysis has been done by finite element method. AC servo-motor has been used to move the swing arm and a operating software has been developed using a LapVIEW tool. Result of the test run was satisfactory which convinces the usefulness of the swing-arm type polishing machine.

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V-형 선형 초음파 모터의 구동 특성 (Driving Characteristic of Ultrasonic Linear Motor With V-type)

  • 정성수;박태곤
    • 한국전기전자재료학회논문지
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    • 제20권5호
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    • pp.425-429
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    • 2007
  • A linear ultrasonic motor was designed by a combination of the longitudinal and bending mode. linear ultrasonic motors are based on an elliptical motion on the surface of elastic body, such as bar or plates. The corresponding eigen-mode of one resonance frequency can be excited twice at the same time with a phase shift of 90 degrees in space and time. That is excite symmetric and anti-symmetric modes. Then it determines the thrust and speed of the motor. Linear ultrasonic motors are investigated experimentally in according to be fabricated a general classification to motor structure and material characteristic. There was the first to simulate as use of finite element analysis ANSYS 9.0. The AL-T2W8-ARM14-LEG18-ANGLE80 motor has a maxim efficiency 18 % under the speed 0.14 m/s, thrust 345 gf and preload 280 gf, operating frequency is 57.6 kHz.

축 대칭 지형에서의 처오름 높이 (Run-up Height around Axis-symmetric Topographies)

  • 정태화;류용욱
    • 한국콘텐츠학회논문지
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    • 제15권6호
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    • pp.539-546
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    • 2015
  • 본 연구에서는 수심이 해안선에서 0이 되며 임의로 변하는 축 대칭 지형의 주변을 통과하는 파를 해석하기 위하여 타원형 완경사 방정식을 이용한 수치모델을 개발하였다. 수치해석을 위해 전체 영역을 세 부분으로 구분하였는데, 안쪽 및 바깥쪽 영역에서는 기존 해석해를 활용하였으며, 가운데 영역에서는 지배방정식에서 유한요소기법을 적용하였다. 영역 1에서의 해석해는 변수분리법 및 Frobenius 급수를 사용하였다. 개발된 수치해는 기존에 존재하는 해석해와 비교하여 타당성을 검증하였으며 다양한 경우에 적용하여 활용성을 검토하였다.

ANSYS를 이용한 초음파 리니어 모터의 타원궤적 해석 (Elliptical Trajectory Analysis of Ultrasonic Linear Motor using ANSYS)

  • 최명일;박태곤;김명호
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2002년도 추계학술대회 논문집 Vol.15
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    • pp.292-295
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    • 2002
  • Transducer for linear ultrasonic motor with symmetric and anti-symmetric modes was studied. The transducer was composed of two Langevin-type vibrators that cross at right angles with each other at tip. In order to excite two vibration modes, two Langevin-type vibrators must have 90-degree phase difference with each other. As a result, tip of transducers moves in elliptical motion. In this paper, elliptical trajectory of transducer was analyzed by employing the finite element method.

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비대칭 단면을 갖는 박벽 곡선보의 안정성해석 II : 수치적 방법 (Spatial Stability of Non-Symmetric Thin-Walled Curved Beams II : Numerical Approach)

  • 민병철;김문영
    • 전산구조공학
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    • 제11권4호
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    • pp.253-265
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    • 1998
  • 본 논문에서는 연계논문에서 제시한 비대칭 박벽단면을 갖는 곡선보 및 직선보 이론을 토대로, 곡선보 요소 및 직선보 요소를 개발하고 이를 이용한 유한요소 정식화 과정을 제시한다. 유한요소 정식화 과정에서는 요소의 변위장을 도심에 대하여 정의한 후, 요소 변위벡터에 관한 3차의 Hermitian 다항식을 형상함수로 사용하고 가우스 적분을 행함으로써 탄성 강도행렬 및 기하학적 강도행렬을 산정하였다. 얻어진 강도행렬을 이용하여 고유치 문제를 계산함으로써 좌굴하중을 계산하였으며 다양한 해석 예제를 통하여 다른 연구자들의 해석 결과와 비교 검토함으로써 본 연구의 타당성과 우수성을 입증하고자 한다.

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