• 제목/요약/키워드: Numerical time step

검색결과 546건 처리시간 0.027초

리어 힌지 패널 스템핑의 유한요소해석 (Finite Element Analysis of Auto-body Panel Stamping)

  • 정동원;이장희;양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1996년도 자동차부품 제작기술의 진보
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    • pp.97-109
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    • 1996
  • In the present work computations are carried out for analysis of complicated sheet metal forming process such as forming of a rear hinge. Finite element formulation using dynamic explicit time integration scheme and step-wise combined Implicit/Explicit scheme are introduced for numerical analysis of sheet metal forming process. The rigid-plastic finite element method based on membrane elements has long been employed as a useful numerical technique for the analysis of sheet metal forming because of its time effectiveness. The explicit scheme in general use is based on the elastic-plastic modelling of material requiring large computation time. In finite element simulation of sheet metal forming processes, the robustness and stability of computation are important requirements since the computation time and convergency become major points of consideration besides the solution accuracy due to the complexity of geometry and boundary conditions. The implicit scheme employs a more reliable and rigorous scheme in considering the equilibrium at each step of deformation, while in the explicit scheme the problem of convergency is eliminated at the cost of solution accuracy. The explicit approach and the implicit approach have merits and demerits, respectively. In order to combine the merits of these two methods a step-wise combined implicit/explicit scheme has been developed.

광스위칭과 표면 발진 레이저를 위한 집적 거울 Etalon의 설계 (Design of Integrated-Mirror Etalons for Surface-Emitting Lasers and Photonic Switching)

  • 정종술;윤태훈;김재창
    • 전자공학회논문지A
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    • 제29A권3호
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    • pp.41-46
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    • 1992
  • In this paper we report how to design integrated-mirror etalons for surface-emitting lasers and photonic switching without time-consuming numerical calculation. It consists of the following two-step process (step 1) find the minimum reflectance to achieve the maximum allowable linewidth. (step 2) find the number of the quarter-wave layers in each mirror to realize the reflectance given by step 1. The condition for maximum transmission in an integrated- mirror etalon is also derived. Under this condition we can achieve the required linewidth with the minimum number of quarterwave layers.

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이차원과도열전도에 대한 음함수형 유한차분법의 정도에 미치는 공간증분 및 시간간격의 영향 (Effects of Space Increment and Time Step to the Accuracy of the Implicit Finite Difference Method in a Two-Dimensional Transient Heat Conduction Problem)

  • 조권옥;이용성;오후규
    • 한국수산과학회지
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    • 제18권1호
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    • pp.15-22
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    • 1985
  • The study on computation time, accuracy, and convergency characteristic of the implicit finite difference method is presented with the variation of the space increment and time step in a two-dimensional transient heat conduction problem with a dirichlet boundary condition. Numerical analysis were conducted by the model having the conditions of the solution domain from 0 to 3m, thermal diffusivity of 1.26 $m^2/h$, initial condition of 272 K, and boundary condition of 255.4 K. The results obtained are summarized as follows : 1) The degree of influence with respect to the accuracy of the time step and space increment in the alternating-direction implicit method and Crank-Nicholson implicit method were relatively small, but in case of the fully implicit method showed opposite tendency. 2) To prescribe near the zero for the space increment and tine step in a two dimensional transient problem were good in a accuracy aspect but unreasonable in a computational time aspect. 3) The reasonable condition of the space increment and the time step considering accuracy and computation time could be generalized with the Fourier modulus increment, F, ana dimensionless space increment, X, irrespective of the solution domain.

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A Computational Study on the Unsteady Lateral Loads in a Rocket Nozzle

  • ;김희동
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년도 제30회 춘계학술대회논문집
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    • pp.289-292
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    • 2008
  • Highly over-expanded nozzle of the rocket engines will be excited by non-axial forces due to flow separation at sea level operations. Since rocket engines are designed to produce axial thrust to power the vehicle, non-axial static and/or dynamic forces are not desirable. Several engine failures were attributed to the side loads. Present work investigate the unsteady flow in an over-expanded rocket nozzle in order to estimate side load during a shutdown/starting. Numerical computations has been carried out with density based solver on multi-block structured grid. Present solver is explicit in time and unsteady time step is calculated using dual time step approach. AUSMDV is considered as a numerical scheme for the flux calculations. One equation Spalart-Allmaras turbulence model is selected. Results presented here is for two nozzle pressure ratio i.e. 100 and 20. At 100 NPR, restricted shock separation (RSS) pattern is observed while, 20 NPR shows free shock separation (FSS) pattern. Side load is observed during the transition of separation pattern at different NPR.

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임의의 하중 하에서 축소시스템 구성을 통한 구조물의 동적 거동 연구 (Time Integration in Reduced System Constructed by Two-level Condensation Scheme)

  • 김현기;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 가을 학술발표회 논문집
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    • pp.19-26
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    • 2004
  • This study constructs the reduced system by two-level condensation scheme. This scheme consists of two steps. First step selects the candidate area for the primary degrees of freedom by energy estimation in element level. In the second step, the primary degrees of freedom are selected by the sequential elimination scheme. The efficiency and reliability of this scheme is shown through the prediction of eigenvalues of a few numerical examples. Time integration in the reduced system can save the computing time effectively. The well-constructed reduced system can present the accurate behavior of the structure under arbitrary dynamic loads so much as the global system. Through the numerical example, the efficiency and reliability of the proposed scheme will be demonstrated.

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Envelope ADI-FDTD의 수치적 특성에 관한 연구 (A Study of the Numerical Characteristics of the Envelope ADI-FDTD)

  • 주세훈;정경영;김형훈;김형동
    • 한국전자파학회논문지
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    • 제14권6호
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    • pp.584-590
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    • 2003
  • 본 논문에서는 최근에 개발된 Envelope ADI-FDTD의 수치적 특성에 대하여 고찰하였다. 수치 실험을 통하여 Envelope ADI-FDTD가 시간간격에 상관없이 무조건 안정하고, 신호의 포락선을 해석함으로써 기존의 ADI-FDTD보다 더 좋은 분산특성을 얻을 수 있음을 보였다. 이러한 특성은 특별한 경우에서는 Nyquist 극한값까지 시간간격을 키울 수 있는 가능성을 제공한다 수치결과를 통해서 Envelope ADI-FDTD가 단일주파수 또는 대역이 제한된 시스템의 해석에 있어 유용하게 사용될 수 있음을 확인하였다.

N-Step Sliding Recursion Formula of Variance and Its Implementation

  • Yu, Lang;He, Gang;Mutahir, Ahmad Khwaja
    • Journal of Information Processing Systems
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    • 제16권4호
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    • pp.832-844
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    • 2020
  • The degree of dispersion of a random variable can be described by the variance, which reflects the distance of the random variable from its mean. However, the time complexity of the traditional variance calculation algorithm is O(n), which results from full calculation of all samples. When the number of samples increases or on the occasion of high speed signal processing, algorithms with O(n) time complexity will cost huge amount of time and that may results in performance degradation of the whole system. A novel multi-step recursive algorithm for variance calculation of the time-varying data series with O(1) time complexity (constant time) is proposed in this paper. Numerical simulation and experiments of the algorithm is presented and the results demonstrate that the proposed multi-step recursive algorithm can effectively decrease computing time and hence significantly improve the variance calculation efficiency for time-varying data, which demonstrates the potential value for time-consumption data analysis or high speed signal processing.

강체-유체 충격문제에 대한 Lagrangian 유한요소 해석 (Lagrangian Finite Element Analysis of Water Impact Problem)

  • 윤범상
    • 대한조선학회논문집
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    • 제28권1호
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    • pp.60-68
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    • 1991
  • 비압축성 유체유동에 대한 Navier-Stokes 방정식과 충돌 접촉면 조건으로 특징지어지는 강체-유체 충돌문제를 Lagrangian 유한요소법에 의해 해석하였으며, 계산의 편의상, 속도장을 점성및 중력항과 압력항으로 나누어 수행하는 소위 fractional step method를 도입하였다. 유체영역은 4절점의 4각형 요소로 분할하였으며, 충분히 작은 시간간격의 도입을 전제로 하여 explicit time marching법으로 수치해석하였다. 매 시간 step의 초기에 우선 운동량-충격량 법칙으로 강체의 수면충돌후 속도를 구했으며, 그 속도로 표현되는 충돌 접촉면의 경계조건과 완전한 형태의 자유표면조건 그리고 운동방정식 및 연속 방정식을 모두 만족하는 속도장을 구하였다. 본 논문에서 제시하는 수치해석법에 의하면, 유체충격문제에 있어 매우 중요하다고 알려져 있는 tip splash를 포함하는 자유표면의 형상을 쉽게 추적해 갈 수 있다. Lagrangian 유한요소법의 적용의 타당성을 확인하기 위하여 대칭형 2차원 쐐기 모양의 강체가 수면충돌하는 경우를 예로하여 시간의 경과에 따른 충격수압의 분포 및 충격외력 등을 추정한 결과, 본 방법의 적용의 유효성과 아울러 몇가지 유용한 결론을 유도할 수 있었다.

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난류전단 흐름에서의 기포응집에 관한 수치모의: 1. 모형의 개발 (Numerical Simulation of the Coalescence of Air Bubbles in Turbulent Shear Flow: 1. Model Development)

  • 전경수
    • 대한토목학회논문집
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    • 제14권6호
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    • pp.1357-1363
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    • 1994
  • 난류전단 흐름에서의 기포응집에 따른 기포의 크기분포를 예측하기 위한 Monte-Carlo 모의모형을 개발하였다. 임의로 선택된 각 초기위치에 일련의 기포들을 매시각 발생시키고, 각 기포들의 움직임과 충돌을 모의함으로써 각각의 위치와 크기를 추적하도록 하였다. 기포의 횡방향 변위는 이송확산 방정식의 수치해를 이용하여 부여하였으며, 종방향 변위는 흐름의 대수유속분포 및 기포 상승속도로부터 주어지도록 하였다. 각 기포들간의 초기 상대위치와 상대변위를 이용한 기하학적 해석에 의하여 매시간단계에서의 기포응집을 탐지하여, 시간단계 말기에서의 기포 총수, 각 기포의 위치 및 크기를 결정하였다. 기포들의 크기 및 위치를 나타내기 위하여 소요되는 기억용량을 최소화하도록 전산모형을 구성하였다.

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스마트 제어알고리즘 개발을 위한 강화학습 리워드 설계 (Reward Design of Reinforcement Learning for Development of Smart Control Algorithm)

  • 김현수;윤기용
    • 한국공간구조학회논문집
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    • 제22권2호
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    • pp.39-46
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    • 2022
  • Recently, machine learning is widely used to solve optimization problems in various engineering fields. In this study, machine learning is applied to development of a control algorithm for a smart control device for reduction of seismic responses. For this purpose, Deep Q-network (DQN) out of reinforcement learning algorithms was employed to develop control algorithm. A single degree of freedom (SDOF) structure with a smart tuned mass damper (TMD) was used as an example structure. A smart TMD system was composed of MR (magnetorheological) damper instead of passive damper. Reward design of reinforcement learning mainly affects the control performance of the smart TMD. Various hyper-parameters were investigated to optimize the control performance of DQN-based control algorithm. Usually, decrease of the time step for numerical simulation is desirable to increase the accuracy of simulation results. However, the numerical simulation results presented that decrease of the time step for reward calculation might decrease the control performance of DQN-based control algorithm. Therefore, a proper time step for reward calculation should be selected in a DQN training process.