• 제목/요약/키워드: exact

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삼차원 유한요소의 자동생성 (2) -사면체 옥트리로부터의 유한요소 생성- (Automatic Generation of 3-D Finite Element Meshes: Part(II) -Mesh Generation from Tetrahedron-based Octree-)

  • 정융호;이건우
    • 대한기계학회논문집
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    • 제19권3호
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    • pp.647-660
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    • 1995
  • Given the tetrahedron-based octree approximation of a solid as described in part(I) of this thesis, in this part(II) a systematic procedure of 'boundary moving' is developed for the fully automatic generation of 3D finite element meshes. The algorithm moves some vertices of the octants near the boundary onto the exact surface of a solid without transforming the topology of octree leaf elements. As a result, the inner octree leaf elements can be used as exact tetrahedral finite element meshes. In addition, as a quality measure of a tetrahedral element, 'shape value' is propopsed and used for the generation of better finite elements during the boundary moving process.

여러 스팬을 갖는 티모센코 보 구조물의 이동하중에 의한 진동 해석 (Vibration Analysis of Multi-Span Timoshenko Beams Due to Moving Loads)

  • 홍성욱;김종욱
    • 대한기계학회논문집A
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    • 제23권11호
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    • pp.2058-2066
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    • 1999
  • The present paper proposes a new dynamic analysis method for multi-span Timoshenko beam structures supported by joints with damping subject to moving loads. An exact dynamic element matrix method is adopted to model Timoshenko beam structures. A generalized modal analysis method is applied to derive response formulae for beam structures subject to moving loads. The proposed method offers an exact and closed form solution. Two numerical examples are provided for validating and illustrating the proposed method. In the first numerical example, a single span beam with multiple moving loads is considered. A dynamic analysis on a multi-span beam under a moving load is considered as the second example, in which the flexibility and damping of supporting joints are taken into account. The numerical study proves that the proposed method is useful for the vibration analysis of multi-span beam-hype structures by moving loads.

축방향으로 이동하는 티모센코보의 동특성에 관한 스펙트럴요소 해석 (Spectral Element Analysis for the Dynamic Characteristics of an Axially Moving Timoshenko Beam)

  • 김주홍;오형미;이우식
    • 대한기계학회논문집A
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    • 제27권10호
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    • pp.1653-1660
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    • 2003
  • The use of frequency-dependent spectral element matrix (or exact dynamic stiffness matrix) in structural dynamics is known to provide very accurate solutions, while reducing the number of degrees-of-freedom to resolve the computational and cost problems. Thus, in the present paper, the spectral element model is formulated for the axially moving Timoshenko beam under a uniform axial tension. The high accuracy of the present spectral element is then verified by comparing its solutions with the conventional finite element solutions and exact analytical solutions. The effects of the moving speed and axial tension on the vibration characteristics, the dispersion relation, and the stability of a moving Timoshenko beam are investigated, analytically and numerically.

Evaluation of Thermal Deformation in Electronic Packages

  • Beom, Hyeon-Gyu;Jeong, Kyoung-Moon
    • Journal of Mechanical Science and Technology
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    • 제14권2호
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    • pp.251-258
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    • 2000
  • Thermal deformation in an electronic package due to thermal strain mismatch is investigated. The warpage and the in-plane deformation of the package after encapsulation is analyzed using the laminated plate theory. An exact solution for the thermal deformation of an electronic package with circular shape is derived. Theoretical results are presented on the effects of the layer geometries and material properties on the thermal deformation. Several applications of the exact solution to electronic packaging product development are illustrated. The applications include lead on chip package, encapsulated chip on board and chip on substrate.

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냄새 물질의 농도를 이용한 냄새 강도의 수치화 (The method of expressing the numerical value of small by using the density of the substances emitting smell)

  • 최은석;차성운
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.799-803
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    • 1997
  • Smell and sound are closely connected with our life. But there is no way to represent the exact numerical value of smell. On the contary, there is a method of represent the exact numerical value of sound. In this thesis, using and adapting this method about sound, a new method of expressing the numercal value of smell is going to be derived. These two methods are similar, but there are so many substances which emit smells and the methods of measuring the density of the substances are various according to kinds of the substances. So the new method about smell will be derived by a new idea.

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유한 요소법을 이용한 비행기 엔진 입구 음향장 해석 (An Analysis of Aircraft Engine Inlet Acoustic Fields by using Finite Element Method)

  • 전완호;이덕주
    • 소음진동
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    • 제8권1호
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    • pp.122-131
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    • 1998
  • Internal and external acoustic fields of the engine inlet are calculated by using a finite element method. The far fields non reflecting boundary condition is enforced by using a wave envelope element, which is a kind of infinite element. The geometry is assumed an axisymetric duct. Sources of the fan are modeled by the Tyler and Sofrin's theory. Effects of uniformly moving medium are considered. A pulsating sphere and an oscillating piston problem are calculated to verify the external problems, and compared with exact solutions. When the wave envelope element is applied at the far boundary, the calculated finite element solutions show good agreements with the exact solutions. The engine inlet is solved with the combined internal and external grid. The cut-off phenomena on engine inlet duct are observed.

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길이를 따라 선형적으로 감소된 폭을 가지는 보의 굽힘 진동에 대한 정확해 (Exact Solutions for Bending Vibration of Beam with Linearly Reduced width Along Its Length)

  • 이정우;김정호;이정윤
    • 한국소음진동공학회논문집
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    • 제25권6호
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    • pp.420-425
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    • 2015
  • In this paper a transfer matrix method is developed to solve for bending vibration of beam with linearly reduced width, and subsequently used to determine the exact natural frequencies for such problems. The differential equation, shear force, and bending moment are derived from Hamilton's principle, and the roots of the differential equation are computed using the power series solution of the Frobenius method. The effect of various taper ratio for bending vibration of beam with linearly reduced width is investigated in detail, and to validate the accuracy of the proposed method the results computed are compared with those given from commercial software(ANSYS).

Dynamic analysis of trusses including the effect of local modes

  • Levy, Eldad;Eisenberger, Moshe
    • Structural Engineering and Mechanics
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    • 제7권1호
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    • pp.81-94
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    • 1999
  • The dynamic analysis of trusses using the finite element method tends to overlook the effect of local member dynamic behavior on the overall response of the complete structure. This is due to the fact that the lateral inertias of the members are omitted from the global inertia terms in the structure mass matrix. In this paper a condensed dynamic stiffness matrix is formulated and used to calculate the exact dynamic properties of trusses without the need to increase the model size. In the examples the limitations of current solutions are presented together with the exact results obtained from the proposed method.

The effect of Fe2O3 nanoparticles instead cement on the stability of fluid-conveying concrete pipes based on exact solution

  • Nouri, Alireza Zamani
    • Computers and Concrete
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    • 제21권1호
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    • pp.31-37
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    • 2018
  • This paper deals with the stability analysis of concrete pipes mixed with nanoparticles conveying fluid. Instead of cement, the $Fe_2O_3$ nanoparticles are used in construction of the concrete pipe. The Navier-Stokes equations are used for obtaining the radial force of the fluid. Mori-Tanaka model is used for calculating the effective material properties of the concrete $pipe-Fe_2O_3$ nanoparticles considering the agglomeration of the nanoparticles. The first order shear deformation theory (FSDT) is used for mathematical modeling of the structure. The motion equations are derived based on energy method and Hamilton's principal. An exact solution is used for stability analysis of the structure. The effects of fluid, volume percent and agglomeration of $Fe_2O_3$ nanoparticles, magnetic field and geometrical parameters of pipe are shown on the stability behaviour of system. Results show that considering the agglomeration of $Fe_2O_3$ nanoparticles, the critical fluid velocity of the concrete pipe is decreased.

Receding horizon LQG controller with FIR filter

  • Yoo, Kyung-Sang;Shim, Jae-Hoon;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.193-196
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    • 1992
  • When there exist parameter uncertainty, modelling errors and nonminimum phase zeros in control object system. the stability robustness of conventional LQG and LOG/LTR methods are not satisfactory[2, 8]. Since these methods are performed on the infinite horizon, it is very hard to establish exact design parameters and thus they have lots of problems to be applied to real systems, So in this paper we propose RHLQG/FIRF optimal controller which has robust stability against parameter uncertainty, nonminimum phase zeros and modelling errors. This method uses only the information around at present and therefore shows good performance even when we do not know exact design parameters. We here compare LQG and LQG/LTR method with RHLQG/FIRF controller and exemplify that RHLQG/FIRF controller has better robust stability performance via simulations.

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