• 제목/요약/키워드: Finite Fourier series

검색결과 101건 처리시간 0.025초

진행성 유한진폭파로 인한 정상성 경계층류 (Steady Boundary Layer Flow under the Influence of Progressive Finite Amplitude Wave)

  • 오임상
    • 한국해양학회지
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    • 제21권4호
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    • pp.259-264
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    • 1986
  • 進行性 有限 振幅波가 수평인 底部 境界面 위에 存在할 때 이 波로 因하여 境界面에 인접해서 形成되는 定常流(steady stream)를 硏究하였다. 이를 위하여 境界層 方程式이 使用되었으며, 이것을 二重 Fourier 系別로 展開함으로써 그 解를 구하였다. 이 解의 垂直, 構造를 水深과 波長의 比(h/L)의 양수로 表示하였다. 有限 振幅波가 가장 잘 適用될 수 있는 條件下에서 境界層의 定常流를 구해본 結果 이 定常波는 물의 粘性에는 無關하며 그 上部에 있는 有限 振幅波의 파라메타들, 즉 週期, 波長등과 水深의 計數임이 確認 되었다. 또 이 境界層의 定常流의 速度는 파속과, 水深에 대한 波高의 比(H/L)의 제곱에 比例함이 밝혀졌으며, 이 正常流의 크기는 h/L이 0.5보다 클때에는 아주 작아져서 無意味한 값이 된다.

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응력특이를 갖는 축방향 부재의 웨이블렛 급수해석 (Wavelet Series Analysis of Axial Members with Stress Singularities)

  • 우광성;장영민;이동우;이상윤
    • 한국전산구조공학회논문집
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    • 제23권1호
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    • pp.1-8
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    • 2010
  • 푸리에 급수는 사인 곡선처럼 일정한 진폭으로 진동하는 정규파(wave)를 사용한다. 그래서 푸리에 급수에서 사용하는 함수는 진동수의 크기가 시간에 따라 변하지 않기 때문에 국부적인 영역에서 급작스런 진동이나 불연속성을 갖는 신호를 표현하기에는 한계가 있다. 그러나 이러한 푸리에 해석의 단점을 여러개의 적절한 웨이블렛의 선형조합에 의해 보완할 수 있는 것이 웨이블렛 급수해석이다. 시간에 집중되어진 궤적의 작은 잔파(wavelet)를 사용함으로써 시간과 주기의 폭을 변화시킬 수 있기 때문에 유동적이고, 특이(singular)형상을 지닌 신호들을 보다 효율적으로 표현할 수 있다. 이 연구의 주요 목적은 웨이블렛 급수해석이라고 불리는 방법을 2계 편미분방정식으로 표현되는 1차원 축방향 부재에 웨이블렛 이론을 적용함과 동시에 유한요소법과 같은 수치해석법과의 비교를 통해 성능평가를 위해 제안되었다. 여러 형태의 웨이블렛 함수의 검토 후에 HAT 함수가 웨이블렛 및 스케일링 함수로 채택되었다. 등분포하중을 받는 경우의 축방향 부재해석에서 제안된 방법은 유한요소법과 같이 효율적임을 보이며, 특히 응력특이점에서는 더 정확한 값을 보였으며, 계산시간도 절약되는 장점을 얻을 수 있었다.

배관시스템 해석을 위한 벨로우즈 유한요소의 개발 (Development of a Bellows Finite Element for the Analysis of Piping System)

  • 고병갑;박경진;이완익
    • 대한기계학회논문집
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    • 제19권6호
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    • pp.1439-1450
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    • 1995
  • Bellows is a familiar component in piping systems as it provides a relatively simple means of absorbing thermal expansion and providing system flexibility. In routine piping flexibility analysis by finite element methods, bellows is usually considered to be straight pipe runs modified by an appropriate flexibility factor; maximum stresses are evaluated using a corresponding stress concentration factor. The aim of this study is to develop a bellows finite element, which similarly includes more complex shell type deformation patterns. This element also does not require flexibility or stress factors, but evaluates more detailed deformation and stress patterns. The proposed bellows element is a 3-D, 2-noded line element, with three degrees of freedom per node and no bending. It is formulated by including additional 'internal' degrees of freedom to account for the deformation of the bellows corrugation; specifically a quarter toroidal section of the bellows, loaded by axial force, is considered and the shell type deformation of this is include by way of an approximating trigonometric series. The stiffness of each half bellows section may be found by minimising the potential energy of the section for a chosen deformation shape function. An experiment on the flexibility is performed to verify the reliability for bellows finite element.

벌칙 면적 개념에 의한 로봇 팔의 장애물 중에서의 최적 운동 (Optimal motions for a robot manipulator amid obstacles by the concepts of penalty area)

  • 박종근
    • 한국정밀공학회지
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    • 제14권3호
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    • pp.147-155
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    • 1997
  • Optimal trajectory for a robot manipulator minimizing actuator torques or energy consumptions ina fixed traveling time is obtained in the presence of obstacles. All joint displacements are represented in finite terms of Fourier cosine series and the coefficients of the series are obtained optimally by nonlinear programming. Thus, the geometric path need not be prespecified and the full dynamic model is employed. To avoid the obstacles, the concept of the penalty area is newly introduced and this penalty area is includ- ed in the performance index with an appropriate weighting coefficient. This optimal trajectory will be useful as a geometric path in the minimum-time trajectory planning problem.

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지게차 진동저감을 위한 최적설계 (Dynamic Response Optimization for Vibration Reduction of the Fork-Lift Truck)

  • 이동일;최형우;박근배;이승구
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 춘계학술대회논문집; 부산수산대학교, 10 May 1996
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    • pp.155-160
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    • 1996
  • The vibration analysis of the automobiles has been a good subject for the engineers seeking solutions for more comfortable life. In the area of industrial vehicles, however, the seriousness of the vibration annoyance has not been considered so much. In this paper, a finite element model was built which was good for the low-frequency system(of fork-lift truck), and a forced vibration analysis was obtained for the component of 2n of harmonic orders from engine excitation to this model. Finally, a design optimization upon dynamic responses was made to minimize the vibration acceleration level at selected points representing the vibration level of the whole system.

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양면에서 부분적으로 유체와 접하는 사각평판의 고유진동 (Free Vibration of a Rectangular Plate Partially in Contact with a Liquid at Both Sides)

  • 정경훈;이규만;김태완
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.42-47
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    • 2007
  • An analytical method for the free vibration of a flexible rectangular plate in contact with water is developed by the Rayleigh.Ritz method. The plate clamped along the edges is partially contacted with water at both sides. It is assumed that the water bounded by rigid walls is incompressible and inviscid. The wet mode shape of the plate is assumed as a combination of the dry mode shapes of a clamped beam. The liquid motion is described by using the liquid displacement potential and determined by using the compatibility conditions along the liquid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict excellently the fluid.coupled natural frequencies comparing with the finite element analysis result.

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유체로 연성된 두 직사각 평판의 고유진동에 관한 해석적 연구 (Analytical Study on the Free Vibration of Two Rectangular Plates Coupled with Fluid)

  • 유계형;정경훈;이성철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 춘계학술대회 논문집
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    • pp.647-651
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    • 2002
  • This study dealt with the free vibration of two identical rectangular plates coupled with fluid. In order to investigate the vibration characteristics of fluid-coupled rectangular plates, an analytical method based on the finite Fourier series expansion and Rayleigh-Ritz method was suggested. A commercial computer code, ANSYS was used to perform finite element analysis and we investigated the vibration characteristics with mode shapes and natural frequencies. As a result, the transverse vibration modes, in-phase and out-of-phase, were observed alternately in the fluid-coupled system. The effect of fluid bounding and plate boundary condition on the fluid-coupled natural frequency were investigated. It was shown that the mode numbers increased, the normalized natural frequencies monotonically increased.

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Analysis of transversely isotropic hollow toroids using the semi-analytical DQM

  • Jiang, W.;Redekop, D.
    • Structural Engineering and Mechanics
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    • 제13권1호
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    • pp.103-116
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    • 2002
  • A solution based on the linear three-dimensional theory of elasticity is developed for vibration and elastostatic problems of hollow toroids. The theory is developed for transversely isotropic toroids of arbitrary thickness, and has the potential to validate some vehicle and aircraft tire models in the linear range. In the semi-analytical method that is adopted Fourier series are written in the circumferential direction, forming a set of two-dimensional problems. These problems are solved using the differential quadrature method. A commercial finite element program is used to determine alternative solutions. For validation both problems of vibration and elastostatics are considered. Finally results are determined for local surface loading problems, and conclusions are drawn.

FREE VIBRATION ANALYSIS OF CIRCULAR PLATE WITH ECCENTRIC HOLE SUBMERGED IN FLUID

  • Jhung, Myung-Jo;Choi, Young-Hwan;Ryu, Yong-Ho
    • Nuclear Engineering and Technology
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    • 제41권3호
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    • pp.355-364
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    • 2009
  • Circular plates with holes are extensively used in mechanical components. The existence of a hole in a circular plate results in a significant change in the natural frequencies and mode shapes of the structure. Especially if the hole is located eccentrically, the vibration behavior of these structures is expected to deviate significantly from that of a plate with a concentric hole. In addition, if the plate is in contact with or submerged in fluid, the situation is more complex. Therefore, in this study, an analytical method to determine the modal characteristics of a plate submerged in fluid is developed based on the finite Fourier-Bessel series expansion and Rayleigh-Ritz method and is verified by the finite element analysis using a commercial program. Also, the relationship between parameter variations and vibration modes is investigated. These results can be used as guidance for the modal analysis and damage detection of a circular plate with a hole.

유체로 채워진 원통형 쉘의 고유진동수에미치는 수위의 영향 (The Effect of Liquid Level on the Natural Frequencies of a Partially Liquid-Filled Circular Cylindrical Shell)

  • 정경훈;이성철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 춘계학술대회 논문집
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    • pp.314-319
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    • 1995
  • The effect of liquid level on the natural frequencies and mode shapes of a partially liquid-filled circular cylindrical shell with various boundary conditions is investigated by means of a theoretical analysis based upon Fourier series expansion method and a finite element analysis using ANSYS computer program. Two dimensional mode shapes of the liquid-coupled shell structure are obtained by the ANSYS finite element analysis and show that the liquid level affect the nodal point movement. It is found that the variation of normalized naturalfrequencies (natural frequencies of liquid-filled shell/antural frequencies ofempty shell) to the liquid level is depend on the axial mode numbers and circumferential wave numbers. Additionally, it is found that the number of variational steps of normalized natural frequencies is identicial to that of axial nodal points of the mode shape.

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