• Title/Summary/Keyword: Direct Numerical Method

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Optimum Directivity Synthesis of Ultrasonic Transducers Using Direct Inversion in Combination with Iterative DFP Method

  • K. R. Cho;Kim, C. D.;T. Tsuchiya;Y. Kagawa
    • Proceedings of the Korea Society for Simulation Conference
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    • 2001.10a
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    • pp.477-483
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    • 2001
  • Optimum directivity synthesis of ultrasonic transducers in linear array is considered. To realize the desired directivity, a robust and efficient method is proposed which is the direct inversion combined with the iterative DFP (Davidon-Fletcher-Powell) method. A quasi-ideal beam with the beam width and the steering beam angle specified are chosen for the numerical demonstrations. The demonstration is then extended to the case of multi-beams. The proposed combination method shows quick convergence over the single LMS or DFP method at the expense of the system matrix inversion.

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A direct modification method for strains due to non-conforming modes

  • Choi, Chang-Koon;Chung, Keun-Young;Lee, Tae-Yeol
    • Structural Engineering and Mechanics
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    • v.11 no.3
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    • pp.325-340
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    • 2001
  • This paper addresses an efficient modification method that eliminates the undesirable effects of strains due to various non-conforming modes so that the non-conforming element can pass the patch test unconditionally. The scheme is incorporated in the element formulation to establish new types of non-conforming hexahedral elements designated as NHx and NVHx for the regular element and variable node element, respectively. Non-conforming displacement modes are selectively added to the ordinary (conforming) element displacement assumptions to improve the bending behavior of the distorted solid element. To verify the validation of proposed direct modification method and the improvement of element behavior, several numerical tests are carried out. Test results show that the proposed method is effective and its applications to non-conforming solid elements guarantee for the element to pass the patch test.

Direct Inelastic Slab Design (직접비탄성 슬래브 설계법의 개발)

  • Jung Won-Hee;Park Hong-Gun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.498-501
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    • 2004
  • A new slab design using secant stiffness, Direct Inelastic Slab Design, was developed. Since basically the proposed design method uses linear analysis, it is convenient and stable in numerical analysis. At the same time, the proposed design method can accurately estimate the inelastic strength and ductility demands of slab because it can analyzes the inelastic behavior of structure using iterative calculations for secant stiffness. In the present study, the procedure of the proposed design method was established, and a computer program incorporating the proposed method was developed. Design examples using the proposed method were presented, and compared with traditional nonlinear analysis, and experiments. The Direct Inelastic Slab Design, as an integrated analysis/design method, can directly address the design strategy intended by the engineer, such as moment strength and ductility limit. As a result, economical and safe design can be achieved.

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Direct Numerical Simulation on the Nonlinear Dynamic Responses among Wave, Structure and Seabed ($\cdot$구조물$\cdot$지반의 비선형 동적응답해석을 위한 직접수치해석기법의 개발)

  • Hur Dong Soo;Kim Chang Hoon;Lee Kwang Ho;Kim Do Sam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.17 no.2
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    • pp.86-97
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    • 2005
  • Accurate estimation of the wave-induced pore water pressure in the seabed is key factor in studying the stability of the seabed in the vicinity of coastal structure. Most of the existing numerical models for wave structure seabed interaction have been linked through applying hybrid numerical technique which is analysis method separating the wave field and seabed regime. Therefore, it is necessary to develope a numerical model f3r simulating accurately wave$\cdot$structure$\cdot$ seabed interaction under wave loadings by the single domain approach for wave field and seabed regime together. In this study, direct numerical simulation is newly proposed. In this model, modeled fluid drag has been used to detect the hydraulic properties according to the varied geometrical shape inside the porous media by considering the turbulence resistance as well as laminar resistance. Contrary to hybrid numerical technique, direct numerical simulation avoids the explicit formulation of the boundary conditions at the fluid/porous media interface. A good agreement has been obtained by the comparison between existed experimental results by hydraulic model test and direct numerical simulation results far wave $\cdot$structure$\cdot$seabed interaction. Therefore, the newly proposed numerical model is a powerful tool for estimating the nonlinear dynamic responses among a structure, its seabed foundation and water waves.

On the Study of New Numerical Analysis in the Transient Electromagnetic Wave Scattering (전자파의 과도적 산란 특성에 관한 새로운 수치해석 연구)

  • 이강호;이상회;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.1
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    • pp.1-8
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    • 1990
  • In this paper, the transient electromagneti wave scattering at dielectric cylinder is studied by new numerical analysis method. Basic formulation of boundary integral equation (BIE) for numerical method is started weighted residual technique. BIE is made to two simultaneous equation at surface inner and outside point of dielectric cylinder in extended boundary condition (EBC) and surface boundary condition (SBC). Numerical method is used Boundary element method (BEM) that is two form, one is direct method and the other is indirect method, so that this method that transformes operator inversion martics is used numerical analysis. A good agreement of this numerical solution and the other results is obtained.

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The discrete element method simulation and experimental study of determining the mode I stress-intensity factor

  • Shemirani, Alireza Bagher;Haeri, Hadi;Sarfarazi, Vahab;Akbarpour, Abbas;Babanouri, Nima
    • Structural Engineering and Mechanics
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    • v.66 no.3
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    • pp.379-386
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    • 2018
  • The present study addresses the direct and indirect methods of determining the mode-I fracture toughness of concrete using experimental tests and particle flow code. The direct method used is compaction tensile test and the indirect methods are notched Brazilian disc test, semi-circular bend specimen test, and hollow center cracked disc. The experiments were carried out to determine which indirect method yields the fracture toughness closer to the one obtained by the direct method. In the numerical analysis, the PFC model was first calibrated with respect to the data obtained from the Brazilian laboratory test. The crack paths observed in the simulated tests were in reasonable accordance with experimental results. The discrete element simulations demonstrated that the macro fractures in the models are caused by microscopic tensile breakages on large numbers of bonded particles. The mode-I fracture toughness in the direct tensile test was smaller than the indirect testing results. The fracture toughness obtained from the SCB test was closer to the direct test results. Hence, the semi-circular bend test is recommended as a proper experiment for determination of mode-I fracture toughness of concrete in the absence of direct tests.

Designing a Loudspeaker by Acoutsic Analysis and Taguchi Method (음향해석과 다구치법에 의한 스피커 설계)

  • 김준태;김정호;김진오
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.568-574
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    • 1998
  • A systematic procedure for designing a direct-radiator-type loudspeaker has been developed, based on a numerical vibro-acoustic analysis and the Taguchi method. The finite-element model of the speaker cone has been used to calculate the vibration response of the cone excited by the voice coil. The vibration response of the speaker cone has been used as a boundary condition for the acoustic analysis, and the acoustic frequency characteristics of the loudspeaker have been calculated by the boundary element method. The numerical model has been confirmed by comparing the numerical results with experimental ones obtained in an anechoic chamber. Some design parameters contributing dominantly to the acoustic characteristics have been selected by using the Taguchi method, and the variations of the acoustic characteristics due to the changes of the parameter values have been examined using the numerical model.

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Hybridal Method for the Prediction of Wave Instabilities Inherent in High Energy-Density Combustors (1): Modeling of Nonlinear Cavity Acoustics and its Evolution

  • Lee, Gil-Yong;Yoon, Woong-Sup
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.2
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    • pp.26-32
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    • 2006
  • This paper targets a direct and quantitative prediction of characteristics of unstable waves in a combustion chamber, which employs the governing equations derived in terms of amplification factors of flow variables. A freshly formulated nonlinear acoustic equation is obtained and the analysis of unsteady waves in a rocket engine is attempted. In the present formalism, perturbation method decomposes the variables into time-averaged part that can be obtained easily and accurately and time-varying part which is assumed to be harmonic. Excluding the use of conventional spatially sinusoidal eigenfunctions, a direct numerical solution of wave equation replaces the initial spatial distribution of standing waves and forms the nonlinear space-averaged terms. Amplification factor is also calculated independently by the time rate of changes of fluctuating variables, and is no longer an explicit function for compulsory representation. Employing only the numerical computation, major assumptions inevitably inherent, and in erroneous manner, in up to date analytical methods could be avoided. With two definitions of amplification factor, 1-D stable wave and 3-D unstable wave are examined, and clearly demonstrated the potentiality of a suggested theoretical-numerical method of combustion instability.

A Study on the Pumping Performance of a Disk-type Drag Pump (원판형 드래그펌프의 배기특성에 관한 연구)

  • Hwang, Young-Kyu;Heo, Joong-Sik;Choi, Wook-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.6
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    • pp.860-869
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    • 2000
  • Numerical and experimental investigations are performed for the molecular transition and slip flows in pumping channels of a disk-type drag pump. The flow occurring in the pumping channel develops from the molecular transition to the slip flow traveling downstream. Two different numerical methods are used in this analysis: the first one is a continuum approach in solving the Navier-Stokes equations with slip boundary conditions, and the second one is a stochastic approach through the use of the direct simulation Monte Carlo method. In the experimental study, the inlet pressures are measured for various outlet pressures in the range of 0.1{\sim}4Torr. From the present study, the numerical results of predicting the performance, obtained by both methods, agree well with the experimental data for the range of Knudsen number $Kn{\leq}0.1$ (i.e., the slip flow regime). But the results from the second method only agree with the experimental data for Kn>0.1(i.e., the molecular transition regime)

Development of the Direct Boundary Element Method for Thin Bodies with General bBundary Conditions (일반 경계 조건을 가진 얇은 물체에 대한 직접 경계 요소법의 개발)

  • 이강덕;이덕주
    • Journal of KSNVE
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    • v.7 no.6
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    • pp.975-984
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    • 1997
  • A direct boundary element method (DBEM) is developed for thin bodies whose surfaces are rigid or compliant. The Helmholtz integral equation and its normal derivative integral equation are adoped simultaneously to calculate the pressure on both sides of the thin body, instead of the jump values across it, to account for the different surface conditions of each side. Unlike the usual assumption, the normal velocity is assumed to be discontinuous across the thin body. In this approach, only the neutral surface of the thin body has to be discretized. The method is validated by comparison with analytic and/or numerical results for acoustic scattering and radiation from several surface conditions of the thin body; the surfaces are rigid when stationary or vibrating, and part of the interior surface is lined with a sound-absoring material.

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