• Title/Summary/Keyword: Numerical Analysis Method

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Numerical Dispersive Characteristics and Stability Condition of the Multi-Resolution Time Domain(MRTD) Method (다해상도 시간영역법의 수치적 분산특성과 안정조건)

  • 홍익표;유태훈;윤영중;박한규
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.7 no.4
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    • pp.328-335
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    • 1996
  • The numerical dispersive characteristics and the numerical stability confition of the Multi-Resolution Time-Domain(MRTD) method are calculated. A dispersion analysis of the MRTD schemes including a comparison to Yee's Finite-Difference Time-Domain(FDTD) method is given. The superiority of the MRTD method to the spatial discretization is shown. The required computational memory can be reduced by using the MRTD method. We expect that the MRTD method will be very useful method for numerical modelling of electromagnetics.

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Noise Analysis of Intake System by Hybrid Method (하이브리드 방법을 이용한 배기계 소음 해석)

  • 이장명;한성수;임학종
    • Journal of KSNVE
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    • v.9 no.2
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    • pp.310-316
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    • 1999
  • 4-Pole parameter method based on an acoustic theory is very popular for the analysis of the acoustic behavior of the car exhaust system. However, this method is applicable only for the simple shape of acoustic elements of the muffler. Numerical methods such as FEM(Finite Element Method) or BEM(Boundary Element Method) can also provide acceptable results for the acoustic analysis of the car exhaust system. Even though these numerical methods have benefits for the analysis of complicated shape of acoustic elements of the muffler, time consuming is another problem during modeling and numerical calculation. Combining benefits of both methods, the new code called the hybrid method for car exhaust system is introduced. And the developed code is utilized for calculation of the transmission loss of a main muffler of an automobile comparing with the experimental results.

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NUMERICAL ANALYSIS OF LEGENDRE-GAUSS-RADAU AND LEGENDRE-GAUSS COLLOCATION METHODS

  • CHEN, DAOYONG;TIAN, HONGJIONG
    • Journal of applied mathematics & informatics
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    • v.33 no.5_6
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    • pp.657-670
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    • 2015
  • In this paper, we provide numerical analysis of so-called Legendre Gauss-Radau and Legendre-Gauss collocation methods for ordinary differential equations. After recasting these collocation methods as Runge-Kutta methods, we prove that the Legendre-Gauss collocation method is equivalent to the well-known Gauss method, while the Legendre-Gauss-Radau collocation method does not belong to the classes of Radau IA or Radau IIA methods in the Runge-Kutta literature. Making use of the well-established theory of Runge-Kutta methods, we study stability and accuracy of the Legendre-Gauss-Radau collocation method. Numerical experiments are conducted to confirm our theoretical results on the accuracy and numerical stability of the Legendre-Gauss-Radau collocation method, and compare Legendre-Gauss collocation method with the Gauss method.

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

  • Hong, Seong-Uk;Kim, Jong-Uk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.11 s.170
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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.

Acoustic Field Analysis of Reverberant Water Tank using Acoustic Radiosity Method and Experimental Verification (음향라디오시티법을 이용한 잔향수조 음장 해석과 실험검증)

  • Kim, Kookhyun
    • Journal of the Society of Naval Architects of Korea
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    • v.56 no.5
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    • pp.464-471
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    • 2019
  • The acoustic power is a major acoustical characteristic of an underwater vehicle and could be measured in a reverberant water tank. In order to obtain accurate measurement results, the acoustic field formed by the sound source should be investigated quantitatively in the reverberant water tank. In this research, the acoustic field of a reverberant water tank containing an underwater sound source has been analyzed by using an acoustic radiosity method one of the numerical analysis methods suitable for the acoustic analysis of the highly diffused space. The source level of the underwater sound source and acoustical properties of the water tank input to the numerical analysis have been estimated by applying the reverberant tank plot method through a preliminary experiment result. The comparison of the numerical analysis result with that of the experiment has verified the accuracy of the acoustic radiosity method.

A Study on Numerical Perforation Analysis of Axisymmetric Bullet by the Particle Method (입자법을 이용한 축대칭 탄자의 관통거동 수치해석 연구)

  • Kim, Yong-Seok;Kim, Yong-Hwan
    • Journal of the Korea Institute of Military Science and Technology
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    • v.11 no.6
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    • pp.164-171
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    • 2008
  • A modified generalized particle algorithm, MGPA, was suggested to improve the computational efficiency of standard SPH method in numerical analysis of high speed impact behavior. This method uses a numerical failure mechanism than material failure models to describe the target penetration. MGPA algorithm was more effective to describe the impact phenomena and new boundaries produced during the calculation process were well recognized and treated in the target penetration problem of a bullet. When bullet perforation problems were analyzed by this method, MGPA algorithm calculation gives the stable numerical solution and stress oscillation or particle penetration phenomena were not shown. The error range in ballistic velocity limit is less than $2{\sim}13%$ for various target thickness.

A Study on the Convergency of the Finite Element Analysis of Rubber Using Numerical Differentiation Mehthod (수치미분을 이용한 고무의 유한요소 해석시 수렴성 연구)

  • 권영두;노권택;이창섭;홍상표
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.5
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    • pp.141-153
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    • 1999
  • A finite element procedure for the analysis of rubber-like hyperelastic material is developed. The volumetric incompressiblity conditions of the rubber deformation is included in the formulation by using penalty method. In this paper, the behavior of the rubber deformation is represented by hyperelastic constitutive relations based on a generalized Mooney-Rivlin model. The principle of virtual work is used to derive nonlinear finite element equation for the large displacement problem and presented in total-Lagrangian description. The finite element procedure using analytic differentiation resulted in very close solution to the result of the well known commercial packages NISAII AND ABAQUS. Numerical tests show that the results from the numerical differentiation method coincide very well with those from the analytic method and the well known commercial packages in static analysis. The convergency of rubber usingν iteration method is also discussed.

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Development of a Dynamic Response Analysis Method of Tension Leg Platforms in Waves (인장 계류식 해양구조물의 동적응답 해석법의 개발)

  • 구자삼;이창호;홍봉기
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.133-146
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    • 1993
  • A numerical procedure is described for predicting the motion and structural responses of tension leg platforms (TLPs) in waves. The developed numerical approach is based on combination of a three dimensional source distribution method and the dynamic response analysis method, in which the superstructure of TLPs is assumed flexible instead of the rigid body assumption used in usual two-step analysis method, proposed by Yoshida et. al. .The hydrodynamic interactions among TLP members, such as columms and pontoons, are included in the motion and structural analyses. Numerical results are compared with the experimental and numerical ones, which are obtained in the literature, of the motion and structural responses of a TLP in waves. The results of comparison confirmed the validity of the proposed approach.

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Buckling analysis of functionally graded plates resting on elastic foundation by natural element method

  • Cho, J.R.
    • Steel and Composite Structures
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    • v.44 no.2
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    • pp.171-181
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    • 2022
  • Functionally graded material (FGM) has been spotlighted as an advanced composite material due to its excellent thermo-mechanical performance. And the buckling of FGM resting on elastic foundations has been a challenging subject because its behavior is directly connected to the structural safety. In this context, this paper is concerned with a numerical buckling analysis of metal-ceramic FG plates resting on a two-parameter (Pasternak-type) elastic foundation. The buckling problem is formulated based on the neutral surface and the (1,1,0) hierarchical model, and it is numerically approximated by 2-D natural element method (NEM) which provides a high accuracy even for coarse grid. The derived eigenvalue equations are solved by employing Lanczos and Jacobi algorithms. The numerical results are compared with the reference solutions through the benchmark test, from which the reliability of present numerical method has been verified. Using the developed numerical method, the critical buckling loads of metal-ceramic FG plates are parametrically investigated with respect to the major design parameters.

A Numerical Process for the Underhood Thermal Management with the Microscopic and Semi-microscopic Heat Transfer Method (미시적/준미시적 방법을 이용한 자동차용 열교환기 해석기법)

  • Lee, Sang-Hyuk;Kim, Joo-Han;Lee, Na-Ri;Hur, Nahm-Keon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.75-79
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    • 2008
  • In this study, the numerical process for analyzing the automotive louver fin heat exchanger was developed with a 3D microscopic and semi-microscopic analysis. In the microscopic analysis, the simulation with the detailed meshes was performed for obtaining the characteristics of the heat exchanger. From this simulation, the numerical correlations of the heat transfer and flow friction were obtained. In the semi-microscopic analysis, the Semi-microscopic Heat Exchanger (SHE) method, which is characterized by a conjugate heat transfer and porous media analysis was used with the numerical correlation from the microscopic analysis. This analysis predicted the flow and heat transfer characteristics of the louver fin heat exchanger in the wind tunnel and vehicle. In the design of the louver fin heat exchanger, this numerical process can predict the performance and characteristic of the louver fin heat exchanger.

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