• 제목/요약/키워드: discrete-analytical method

검색결과 107건 처리시간 0.019초

복합재료원통셸의 고유진동수 및 좌국하중에 대한 직교보강 특성 연구 (Study on the Orthogonal Stiffening Characteristics for the Natural Frequencies and Buckling Loads of the Composite Laminated Cylindrical Shells)

  • 이영신;김영완
    • 소음진동
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    • 제6권4호
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    • pp.457-467
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    • 1996
  • The analytical solutions for the free vibration and buckling of cross -ply laminated composite cylindrical shell with the orthogonal stiffeners, i. e., axial stiffeners(stringers) and circumferential stiffeners(rings), are presented using the energy method. The stiffeners are assumed to be an integral part of the shell and have been directly included in analysis(it's called discrete stiffener theory). The effect of the parameters such as the stacking sequences, the shell thickness, the shell length-to-radius ratio are studied. By comparison with the previously published analytical results for the stiffened cylindrical shells, it is shown that natural frequencies can be determined with adequate accuracy.

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이산요소해석에 기초한 블레이드 형상에 따른 숏볼의 투사속도 예측 (Prediction of Velocity of Shot Ball with Blade Shapes based on Discrete Element Analysis)

  • 김태형;이승호;정찬기
    • 한국기계기술학회지
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    • 제20권6호
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    • pp.844-851
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    • 2018
  • In this study, the regression equation was suggested to predict of the shot ball velocity according to blade shapes based on discrete element (DE) analysis. First, the flat type blade DE model was used in the analysis, the validity of the DE model was verified by giving that the velocity of the shot ball almost equal to the theoretical one. Next, the DE analyses for curved and combined blade models was accomplished, and their analytical velocities of shot ball were compared with the theoretical one. The velocity of combined blade model was greatest. From this, the regression equation for velocity of shot ball according to the blade shape based on the DE analysis was derived. Additionally, the wind speed measurement experiment was carried out, and the experimental result and analytical one were the same. Ultimately, it was confirmed that the prediction method of the velocity of shot ball based on DE analysis was effective.

구조동역학 해석 시 유체유동에 의한 외력을 고려하는 방법에 관한 연구 (Study on a Method of Considering the Fluid Induced External Force in Structural Dynamic Analysis)

  • 서석;유홍희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.661-665
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    • 2000
  • A method of considering the fluid induced external force in structural dynamic analysis is presented in this study. The fluid induced pressure distribution around a structure in discrete number of orientation. and velocity is calculated by using a CFD code and tabulated as resultant forces and moments in a database. These forces and moments are interpolated and employed as external forces during the dynamic analysis of structure. The reliability and usefulness of the present method is validated by using a simple discrete system example through transient analysis. The flutter speed is obtained and compared to the analytical solution. Comparing to the method in which structural dynamic and fluid flow analyses are performed simultaneously, the present method is very efficient to save computational effort.

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이산요소법을 이용한 수치해석에서의 상사성 이론의 적용성 검토 (Feasibility Study on Similarity Principle in Discrete Element Analysis)

  • 윤태영;박희문
    • 한국도로학회논문집
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    • 제18권2호
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    • pp.51-60
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    • 2016
  • PURPOSES : The applicability of the mechanics-based similarity concept (suggested by Feng et al.) for determining scaled variables, including length and load, via laboratory-scale tests and discrete element analysis, was evaluated. METHODS: Several studies on the similarity concept were reviewed. The exact scaling approach, a similarity concept described by Feng, was applied in order to determine an analytical solution of a free-falling ball. This solution can be considered one of the simplest conditions for discrete element analysis. RESULTS : The results revealed that 1) the exact scaling approach can be used to determine the scale of variables in laboratory tests and numerical analysis, 2) applying only a scale factor, via the exact scaling approach, is inadequate for the error-free replacement of small particles by large ones during discrete element analysis, 3) the level of continuity of flowable materials such as SCC and cement mortar seems to be an important criterion for evaluating the applicability of the similarity concept, and 4) additional conditions, such as the kinetics of particle, contact model, and geometry, must be taken into consideration to achieve the maximum radius of replacement particles during discrete element analysis. CONCLUSIONS : The concept of similarity is a convenient tool to evaluate the correspondence of scaled laboratory test or numerical analysis to physical condition. However, to achieve excellent correspondence, additional factors, such as the kinetics of particles, contact model, and geometry, must be taken into consideration.

분석적 광선 추적법을 이용한 체적시각화 시스템 (Volume Visualization System Using an Analytical Ray Casting)

  • 박현우;백두원;정문렬
    • 한국정보처리학회논문지
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    • 제7권2호
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    • pp.477-487
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    • 2000
  • 본 논문에서는 체적 시각화 과정을 이론적으로 고찰하여 시각화 모델을 제시하고 그 모델로 유도된 관계로부터 미분 방정식을 이용하여 분석적 체적 시각화 해법을 구하였다. 이 분석적 방법을 제적 시각화의 대표적인 방법인 Levoy의 이산적 광선 추적법과 비교하여 본 연구에서 제시한 방법의 특수한 형태가 Levoy의 이산적 방법임을 보였다. 그리고 체적 데이터를 시각화기 위해서는 사용자가 시각화하기를 원하는 부위를 선택하고 이 부분만을 추출하는 영역 분할 작업이 필요하다. 본 논문에서는 영역확장법에 기반을 둔 효율적인 3차원 영역 분할 기법을 개발하여 위의 분석적인 방법을 이용하여 3차원 제적 데이터의 시각화를 위한 시스템을 구현하였다. 그리고 본 접근법에 대한 의의와 유용함에 대한 가설적인 결론을 구현된 시스템을 이용한 실험에 근거하여 유도하였다. Lovoy의 이산적인 방법과 분석적인 방법을 같은 데이터에 대해 3차원 영역 분할 수행 후 적용한 실험은 분석적인 방법이 이산적인 방법에 비해 렌더링된 이미지의 질이 더 좋음을 보여준다.

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Aeroelastic stability analysis of a bridge deck with added vanes using a discrete vortex method

  • Taylor, I.;Vezza, M.
    • Wind and Structures
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    • 제5권2_3_4호
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    • pp.277-290
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    • 2002
  • A two dimensional discrete vortex method (DIVEX) has been developed at the Department of Aerospace Engineering, University of Glasgow, to predict unsteady and incompressible flow fields around closed bodies. The basis of the method is the discretisation of the vorticity field, rather than the velocity field, into a series of vortex particles that are free to move in the flow field that the particles collectively induce. This paper gives a brief description of the numerical implementation of DIVEX and presents the results of calculations on a recent suspension bridge deck section. The results from both the static and flutter analysis of the main deck in isolation are in good agreement with experimental data. A brief study of the effect of flow control vanes on the aeroelastic stability of the bridge is also presented and the results confirm previous analytical and experimental studies. The aeroelastic study is carried out firstly using aerodynamic derivatives extracted from the DIVEX simulations. These results are then assessed further by presenting results from full time-dependent aeroelastic solutions for the original deck and one of the vane cases. In general, the results show good qualitative and quantitative agreement with results from experimental data and demonstrate that DIVEX is a useful design tool in the field of wind engineering.

Dispersion of axisymmetric longitudinal waves in a "hollow cylinder + surrounding medium" system with inhomogeneous initial stresses

  • Akbarov, Surkay D.;Bagirov, Emin T.
    • Structural Engineering and Mechanics
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    • 제72권5호
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    • pp.597-615
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    • 2019
  • The paper studies the dispersion of the axisymmetric longitudinal wave propagating in the "hollow cylinder + surrounding medium" system with inhomogeneous initial stresses caused by the uniformly distributed radial compressional forces acting at infinity. Up to now in the world literature, there exist only a few investigations related to the wave dispersion in a hollow cylinder with inhomogeneous initial stresses. Therefore, this paper is one of the first attempts in this field in the sense of the development of investigations for the case where the cylinder is surrounded with an infinite medium. The three-dimensional linearized theory of elastic waves is used for describing the considered wave propagation problem and, for a solution to the corresponding mathematical problem, the discrete-analytical solution method is developed and employed. The corresponding dispersion equation is obtained and this equation is solved numerically and, as a result of this solution, the dispersion curves are constructed for the first and second modes. By analyzing these curves, the character of the influence of the inhomogeneous initial stresses on the dispersion curves is established. In particular, it is established that as a result of the inhomogeneity of the initial stresses both new dispersion curves and the "band gap" for the wave frequencies can appear.

보강된 적층 복합재료 주름판의 진동해석 (Vibration Analysis of Stiffened Corrugated Composite Plates)

  • 박경조;김영완
    • Composites Research
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    • 제33권6호
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    • pp.377-382
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    • 2020
  • 본 연구에서는 Rayleigh-Ritz 법을 이용하여 열린 단면보로 보강된 복합재료 주름판의 자유진동 특성을 연구하였다. 복합재료 주름판에 대해 등가균질모델을 이용하였으며, 이 등가모델은 주름판을 두 수직방향에 대해 서로 다른 재료특성을 갖도록 직교이방성판으로 취급한다. 등가 직교이방성판의 운동은 회전 관성 및 횡전단변형을 고려하기 위해 1차 전단변형이론을 기초로 표현된다. 또한 진동형상에서 보강재의 위치에 따른 국부 형상을 표현하기 위해 이산보강이론이 적용되었다. 제안된 해석 방법에 대한 타당성을 검증하기 위해 ANSYS를 이용한 유한요소해석을 수행하였으며, 두 방법을 이용해 얻은 진동수 및 진동형상을 비교하였다.

일반화된 도함수의 이산적 구현 (Discrete construction of generalized derivative functions)

  • 김태식;김경원
    • 디지털콘텐츠학회 논문지
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    • 제9권1호
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    • pp.109-116
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    • 2008
  • 정칙적인 곡선이나 곡면에 대해서만 적용되고 있는 전통적인 개념의 미적분을 복잡하고 비 정칙적인 대상에도 적용할 수 있는 방법들이 다양하게 시도되고 있다. 이에 본 논문에서는 비 정수 차수의 도함수를 적분의 한 형태로 변환하여 표현하는 방법을 알아보고 이를 효과적으로 구현함으로 실제적인 응용을 할 수 있게 하였다.

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An Overview of Flutter Prediction in Tests Based on Stability Criteria in Discrete-Time Domain

  • Matsuzaki, Yuji
    • International Journal of Aeronautical and Space Sciences
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    • 제12권4호
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    • pp.305-317
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    • 2011
  • This paper presents an overview on flutter boundary prediction in tests which is principally based on a system stability measure, named Jury's stability criterion, defined in the discrete-time domain, accompanied with the use of autoregressive moving-average (AR-MA) representation of a sampled sequence of wing responses excited by continuous air turbulences. Stability parameters applicable to two-, three- and multi-mode systems, that is, the flutter margin for discrete-time systems derived from Jury's criterion are also described. Actual applications of these measures to flutter tests performed in subsonic, transonic and supersonic wind tunnels, not only stationary flutter tests but also a nonstationary one in which the dynamic pressure increased in a fixed rate, are presented. An extension of the concept of nonstationary process approach to an analysis of flutter prediction of a morphing wing for which the instability takes place during the process of structural morphing will also be mentioned. Another extension of analytical approach to a multi-mode aeroelastic system is presented, too. Comparisons between the prediction based on the digital techniques mentioned above and the traditional damping method are given. A future possible application of the system stability approach to flight test will be finally discussed.