• Title/Summary/Keyword: transient time integration

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Analysis of Unsteady and Asymmetric Flows Using Digital Speckle Tomography with Developed Integration Method (개발된 적분법을 포함하는 디지털 스펙클 토모그래피 기법을 이용한 비정상 비대칭 유동 분석)

  • Baek, Seung-Hwan;Kim, Yong-Jae;Ko, Han-Seo
    • 유체기계공업학회:학술대회논문집
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    • 2006.08a
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    • pp.517-518
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    • 2006
  • Transient and asymmetric density distributions have been investigated by three-dimensional digital speckle tomography with a novel integration method. Multiple CCD images captured movements of speckles in three angles of view simultaneously because the flows were asymmetric and unsteady. The speckle movements which have been formed by a ground glass between no flow and downward butane flow from a circular half opening have been calculated by a cross-correlation tracking method so that those distances can be transferred to deflection angles of laser rays for density gradients. A novel integration method has been developed to obtain projection data from the deflection angles for the speckle tomography.'The three-dimensional density fields have been reconstructed from the accurate projection values by a real-time multiplicative algebraic reconstruction technique (MART) with the developed integration method.

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A Transient Dynamic Response Analysis in the State-Space Applying the Average Velocity (평균속도 개념을 적용한 상태공간에서의 과도동적응답 해석)

  • 이안성;김병옥;김영철;김영춘
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.465-470
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    • 2003
  • In this study, the state-space Newmark method based on average velocity is presented to analyse the transient dynamic response for general dynamic system. The conventional Newmark method based on average acceleration cannot he directly to the first-order state-space differential equations introducing the state-space vector. To overcome this problem, the time-step integration algorithm, based on average velocity concept, suitable for the first-order state-space differential equations is proposed In results, the proposed method has %he numerical stability and order of accuracy, which is proved analytically, equal to those of the conventional Newmark method based on average acceleration. Also, the formulation for numerical solution is very simple and the calculation time Is nearly equal to that of the conventional Newmark method based on average acceleration in spite of an increase of two times over matrix size. This method will be look forward to applying the general dynamic system to calculate the transient dynamic response.

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Inelastic transient analysis of piles in nonhomogeneous soil

  • Kucukarslan, S.;Banerjee, P.K.
    • Structural Engineering and Mechanics
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    • v.26 no.5
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    • pp.545-556
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    • 2007
  • In this paper, a hybrid boundary element technique is implemented to analyze nonlinear transient pile soil interaction in Gibson type nonhomeogenous soil. Inelastic modeling of soil media is presented by introducing a rational approximation to the continuum with nonlinear interface springs along the piles. Modified $\ddot{O}$zdemir's nonlinear model is implemented and systems of equations are coupled at interfaces for piles and pile groups. Linear beam column finite elements are used to model the piles and the resulting governing equations are solved using an implicit integration scheme. By enforcing displacement equilibrium conditions at each time step, a system of equations is generated which yields the solution. A numerical example is performed to investigate the effects of nonlinearity on the pile soil interaction.

Comparison of Objective Stress Rates for Explicit Transient Shell Dynamics Analysis (쉘 구조물의 과도동적거동해석에 적용된 응력률들의 비교)

  • Har, Ja-Son
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.497-502
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    • 2004
  • This paper presents applications of the objective stress rates to stress update algorithms for transient shell dynamic analysis within the context of explicit time integration. The hypo elasto-plastic materials are assumed in establishing constitutive equations. The derivation of the objective stress rates are investigated by use of the Lie derivative. Comparison results are given between the Kirchhoff and Cauchy stress formulation. The Jacobian determination algorithm proposed in this paper is presented in association with the Belytschko-Lin-Tsay shell theory. Several numerical examples are demonstrated including contact and non-contact examples, by which proposed algorithms are compared with respect to the accuracy and effectiveness.

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An Analysis of High Speed Forming Using the Explicit Time Integration Finite Element Method (I) -Effects of Friction and Inertia Force- (엑스플리시트 시간 적분 유한요소법을 이용한 고속 성형 해석 (I) -마찰 및 관성 효과-)

  • 유요한;정동택
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.1-10
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    • 1991
  • Two-dimensional explicit finite element code was developed. The transient dynamics code can analyse large deformations of non-linear materials subjected to extremely high strain rates. The Lagrangian finite element program uses an explicit time integration operator to integrate the equations of motion, thus the stiffness matrix is not introduced. Cylinder upsetting and ring compression problems are simulated to check the effects of friction and inertia force. It is shown that (1) calculated results agree very well with experimental results, (2) constant shear friction method overestimates the decrease of inner ring radius and then underestimates after on in comparison with the Coulomb friction method, and (3) the effect of the increase in initial strain rate is similar to the effect of higher frictional coefficient.

A remedy for a family of dissipative, non-iterative structure-dependent integration methods

  • Chang, Shuenn-Yih;Wu, Tsui-Huang
    • Earthquakes and Structures
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    • v.14 no.1
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    • pp.45-53
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    • 2018
  • A family of the structure-dependent methods seems very promising for time integration since it can simultaneously have desired numerical properties, such as unconditional stability, second-order accuracy, explicit formulation and numerical dissipation. However, an unusual overshoot, which is essentially different from that found by Goudreau and Taylor in the transient response, has been experienced in the steady-state response of a high frequency mode. The root cause of this unusual overshoot is analytically explored and then a remedy is successfully developed to eliminate it. As a result, an improved formulation of this family method can be achieved.

Automated Inductance Measurement of a Switched Reluctance Motor Using Voltage Integration Method (전압적분법을 이용한 SRM의 자동화된 인덕턴스 측정)

  • Noh, Jeongmin;Kim, Jaehyuck
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.8
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    • pp.1180-1185
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    • 2015
  • This paper describes the accurate inductance measurement of a switched reluctance motor (SRM). Conventionally, the inductance of the SRM is measured using the equivalent circuit of a stator phase or time constant of exponential current transient. This paper presents an effective method to measure the SRM inductance accurately and rapidly using automated voltage integration. The proposed method is validated experimentally by comparison with the existing equivalent circuit method (ECM) and the FEA(finite element analysis) simulation.

Reactor core analysis through the SP3-ACMFD approach Part II: Transient solution

  • Mirzaee, Morteza Khosravi;Zolfaghari, A.;Minuchehr, A.
    • Nuclear Engineering and Technology
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    • v.52 no.2
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    • pp.230-237
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    • 2020
  • In this part, an implicit time dependent solution is presented for the Boltzmann transport equation discretized by the analytic coarse mesh finite difference method (ACMFD) over the spatial domain as well as the simplified P3 (SP3) for the angular variable. In the first part of this work we proposed a SP3-ACMFD approach to solve the static eigenvalue equations which provide the initial conditions for temp dependent equations. Having solved the 3D multi-group SP3-ACMFD static equations, an implicit approach is resorted to ensure stability of time steps. An exponential behavior is assumed in transverse integrated equations to establish a relationship between flux moments and currents. Also, analytic integration is benefited for the time-dependent solution of precursor concentration equations. Finally, a multi-channel one-phase thermal hydraulic model is coupled to the proposed methodology. Transient equations are then solved at each step using the GMRES technique. To show the sufficiency of proposed transient SP3-ACMFD approximation for a full core analysis, a comparison is made using transport peers as the reference. To further demonstrate superiority, results are compared with a 3D multi-group transient diffusion solver developed as a byproduct of this work. Outcomes confirm that the idea can be considered as an economic interim approach which is superior to the diffusion approximation, and comparable with transport in results.

Selection of the time Integration algorithm for transient stability analysis program (과도 안정도 해석 프로그램을 위한 최적 시 적분 알고리즘 선정방안)

  • Kim, D.J.;Cho, Y.S.;Jang, G.;Lee, B.;Kwon, S.H.
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.122-124
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    • 2003
  • Power system analysis is generally based on computer simulation and time-domain simulation is used to assess it's dynamic performance. This paper deals with the selection of proper integration engine for large-scale power system dynamic simulation. Simulation results obtained from the selected algorithm are compared to those of commercial program.

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Inelastic Transient Dynamic Analysis of Two- and Three-dimensional Stress Problems by Particular Integral Boundary Element Method (특수 적분해 경계요소법에 의한 2차원 및 3차원 동적 탄소성 응력 해석)

  • Kim, Jae-Suk;Owatsiriwong, Adisorn;Park, Kyung-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.4
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    • pp.375-382
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    • 2008
  • The particular integral formulation for two(2D) and three(3D) dimensional inelastic transient dynamic stress analysis is presented. The elastostatic equation is used for the complementary solution. Using the concept of global shape function, the particular integrals for displacement and traction rates are obtained to approximate acceleration of the inhomogeneous equation. The Houbolt time integration scheme is used for the time-marching process. The Newton-Raphson algorithm for plastic multiplier is used to solve the system equation. Numerical results of four example problems are given to demonstrate the validity and accuracy of the present formulation.