• 제목/요약/키워드: Ritz방법

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이중 사인 시리즈법에 의한 직사각형 평판의 진동모드 해석 (An Analysis of the Vibrational Modes for a Rectangular Plate by Using the Double Fourier Sine Series Method)

  • 고영준;남효덕;장호경
    • 한국음향학회지
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    • 제18권7호
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    • pp.39-44
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    • 1999
  • 직사각형 평판의 고유진동수와 진동모드를 연구하였다. 이중 퓨리에 사인시리즈를 직사각형 평판의 모달 변위함수로 사용하였으며, 다양한 경계조건을 가지는 자유진동 해석에 적용하였다. 유한급수 전개로써 근사해를 나타내는 고전적인 Ritz 방법을 이용해서 직사각형 평판의 고유진동수를 해석한 Leissa의 결과와 본 연구의 결과를 비교하였다. 그리고, 평판의 형상비에 따른 영향도 연구하였다. 자유경계 평판, 외팔평판, 고정평판, 그리고 모서리가 단순지지된 직사각형 평판의 진동형태를 가시화 하였다.

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전체운동을 하는 단순지지 유연 구조물의 동적해석 (Dynamic Analysis of Simply Supported Flexible Structures Undergoing Large Overall Motion)

  • 유홍희
    • 대한기계학회논문집
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    • 제19권6호
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    • pp.1363-1370
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    • 1995
  • A nonlinear dynamic modeling method for simply supported structures undergoing large overall motion is suggested. The modeling method employs Rayleigh-Ritz mode technique and Von Karman nonlinear strain measures. Numerical study shows that the suggested modeling method provides qualitatively different results from those of the Classical Linear Cartesian modeling method. Especially, natural frequency variations and residual deformation due to membrane strain effects are observed in the numerical results obtained by the suggested modeling method.

두껍고 비대칭인 FRP면재를 갖는 Sandwich 평판의 구조해석 (A Structural Analysis of Sandwich Plate with Unsymmetrical FRP Thick Faces)

  • 김익태;김기성
    • 대한조선학회논문집
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    • 제32권1호
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    • pp.132-140
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    • 1995
  • 선체의 중량을 감소시키기 위한 구조적인 형식중의 하나가 샌드위치 type이고 고속선의 면재는 F.R.P.와 Kevlar/Epoxy를, 심재로는 P.V.C.foam을 많이 사용한다. 본 연구에서는 면재의 두께가 두껍고 윗면재와 아랫면재의 두께가 다른 비대칭인 경우에 대하여 Rayleigh-Ritz의 에너지방법으로 해석하였다. 그리고 얇은 면재와의 비교를 위하여 등방성이고 중립축에 대칭인 평판을 기준하여 굽힘응력, 전단응력, 국부적인 굽힘응력, 막응력효과를 고려한 응력들을 면재2종류와 심재3종류에 대해서 비교하고 해석하였다.

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독립좌표연성법을 이용한 정사각형 구멍을 갖는 단순지지 원판의 자유진동해석 (Free Vibration Analysis of a Simply-Supported Circular Plate with a Concentric Square Hole by the Independent Coordinate Coupling Method)

  • 허석;곽문규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.967-972
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    • 2008
  • This paper presents the free vibration analysis of a circular plate with a concentric square hole. The present problem deals with the numerical calculation of the natural frequencies and mode shapes of vibration of the structure by means of Independent Coordinate Coupling Method (ICCM). In this study, the boundary condition is the edge of the square hole is free and the outer circular plate is simply supported. Due to the geometric abnormality, this analysis does not permit an exact solution. Since the ICCM employs coordinate systems corresponding to each domain independently, the kinetic and potential energy expressions necessary for the Rayleigh-Ritz method can be easily obtained. Lastly, the kinematic relation is imposed. In this way, the eigenvalue problem can be easily set up. The numerical results show the efficacy of the ICCM and changes in natural frequencies and modes due to the square hole size.

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케이블 지지된 풍력발전기 타워 진동계의 변수 분석 (Parametric Study of a Wind Turbine Tower Vibration System Supported by Guy Cables)

  • 박무열;김석헌
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.1165-1169
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    • 2006
  • Vibration characteristics of a small stand alone W/T(wind turbine) system are experimentally and theoretically investigated. Vibration resonance of the tower-cable system is monitored and the data are analysed with the analytical results. To predict the resonance speed of the cable supported WIT. Rayleigh-Ritz method is applied to the tower-guy cable coupled system. Parametric study on the relation of the cable tension. cable elasticity and resonance frequency is carried out. Results of the study are utilized to design the stable structure of small size wind turbines which consist of a pivoted tower and guy cables.

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케이블 지지된 풍력발전기 타워 구조 모델의 진동해석 (Vibration Analysis of a Cable Supported Wind Turbine Tower Model)

  • 김석현;박무열;최승훈
    • 산업기술연구
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    • 제27권A호
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    • pp.47-53
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    • 2007
  • A theoretical model based on Rayleigh-Ritz method is proposed to predict the resonance frequency of a W/T(Wind Turbine) tower structure supported by guy cables. In order to verify the validity of the theoretical model, a reduced W/T tower system is manufactured and tested. Frequency response and mode data are determined by modal testing and finite element analysis is performed to calculate the natural frequency of the tower model. Numerical and experimental results are compared with those by the theoretical analysis. Parametric study by the theoretical model shows how the cable tension and cable elasticity influence the resonance frequency of the W/T tower structure. Finally, vibration response under various rotating speed is investigated to examine the possibility of severe resonance.

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6kW 풍력발전기 타워-케이블계의 고유진동수 해석 (Natural Frequency Analysis of the Tower-Cable System of a 6kW Wind Turbine)

  • 김석현;박무열
    • 산업기술연구
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    • 제29권A호
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    • pp.3-8
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    • 2009
  • Vibration characteristics of a 6kW stand alone W/T(wind turbine) system are experimentally and theoretically investigated. Vibration resonance of the tower-cable system is monitored and the data are analysed and compared with the analytical results. To predict the resonance speed of the cable supported W/T, Rayleigh-Ritz method is applied to the tower-guy cable coupled system. Parametric study on the relation of the cable tension, cable elasticity and resonance frequency is carried out. Results of the study are utilized to design the stable structure of small size wind turbines which consist of a pivoted tower and guy cables.

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선박내 접수탱크 진동에 대한 실험/이론적 연구 (Experimental and analytical study on hydroelastic vibration of tank)

  • 김극수;조현동;공영모;허주호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 춘계학술대회논문집
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    • pp.96-100
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    • 2008
  • In this paper, a experimental and theoretical study is carried out on the hydroelastic vibration for a rectangular bottom and side plate of tank. It is assumed that the tank wall is clamped along the plate edges. The fluid velocity potential is used for the simulation of fluid domain and to obtain the added mass due to plate vibration. It is assumed that the fluid is imcompressible and inviscid. Assumed mode method is utilized to the plate model and hydrodynamic force is obtained by the proposed approach. The coupled natural frequencies are obtained from the relationship between kinetic energies of a wall including fluid and the potential energy of the wall. The theoretical result is compared with the three-dimensional finite element method. In order to verify the result, modal test was carried out for bottom/side plate of tank model by using impact hammer. It was found the fundamental natural frequency of bottom plate is lower than that of side plate of tank and theoretical result was in good agreement with that of commercial three-dimensional finite element program.

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면내 전단력과 휨을 동시에 받는 직교이방성판의 탄성좌굴강도 (Elastic Buckling Strength of Orthotropic Plate under Combined In-Plane Shear and Bending Forces)

  • 윤순종;박봉현;정상균
    • Composites Research
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    • 제12권2호
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    • pp.46-52
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    • 1999
  • 본 연구는 면내 전단과 휨을 동시에 받는 직교이방성 구조재의 복부판의 탄성좌굴거동에 대한 해석적 연구결과이다. 펄트루젼 방법으로 생산된 섬유보강 플래스틱을 직교이방성으로 간주하였다. 복부판의 좌굴해석에서 직교이방성 재료의 역학적 성질을 고려할 수 있도록 기존의 등방성 판의 좌굴해석을 위해 개발된 이론적 해를 확장하였다. 이론식의 해를 구하는 방법으로 Rayleigh-Ritz법을 사용하였으며, 면내 전단과 휨을 동시에 받는 복부판의 탄성좌굴강도를 구할 수 있는 그래프를 제시하였다. 전단과 휨의 상호작용과 관련된 설계기준에 대해서도 도한 검토하였다.

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