• Title/Summary/Keyword: Explicit method

Search Result 1,022, Processing Time 0.029 seconds

Implicit/Explicit Finite Element Method for Euler Flows Inside the Optimum Nozzle (내/외재적 유한요소법을 이용한 최대추력노즐의 설계해석)

  • Yoon W. S.;Kho H.
    • Journal of computational fluids engineering
    • /
    • v.2 no.1
    • /
    • pp.66-72
    • /
    • 1997
  • Optimum nozzle design exploiting the method of characteristic(M.O.C) has been in application as an efficient design methodology targeting a less weighted and short expansion nozzle. This paper treats the optimum nozzle design and the analysis of the inviscid compressible flow inside. Based on traditional Rao's method, the optimum nozzle design is coded with minor modifications for the identification of the control surface across which the mass flux should be conserved. Internal flow field is simulated numerically by M.O.C and implicit/explicit Taylor-Galerkin finite element method(F.E.M) with the aid of adaptive remeshing to capture the shock wave, hence improve the accuracy. Designed and calculated flow fields due to the separate analyses show that the mass flux predicted by optimum nozzle design with M.O.C is not conserved across the control surface and the sonic line should be located upstream of the nozzle throat. Rao's optimum nozzle design methodology exaggerates the momentum thrust and tends to overemphasize the engine performance loss.

  • PDF

A predictor-corrector algorithm of the generalized-$\alpha$ method for analysis of structural dynamics (동적해석을 위한 일반화된$\alpha$ 방범의 예측 수정자 알고리즘)

  • ;Hulbert, Gregory M.
    • Journal of KSNVE
    • /
    • v.5 no.2
    • /
    • pp.207-213
    • /
    • 1995
  • A new predictor-corrector explicit time integration algorithm is presented for solving structural dynamics problems. The basis of the algorithm is the implicit generalized-.alpha. method recently developed by the authors. Like its implicit parent, the explicit generalized-$\alpha$ method is a one- parameter family of algorithms in which the parameter defines the high-frequency numerical dissipation. The algorithm can be utilized effectively for linear and nonlinear structural dynamics calculations is which numerical dissipation is needed to reduce spurious oscillations inherent in non-dissipative time integration methods used to solve wave propagation problems.

  • PDF

A Study on the Influence of the Punch Stroke of Bead on the Draw-bead process by using Static-explicit Finite Element Method (정적 외연적 유한요소법을 이용한 비드 펀치 행정거리가 드로우비드 공정에 미치는 영향에 관한 연구)

  • 정동원
    • Journal of Ocean Engineering and Technology
    • /
    • v.15 no.2
    • /
    • pp.72-78
    • /
    • 2001
  • The bead is used to provide properly restraining force in the sheet metal forming process. This bead process includes bending and geometrical non-linearity, and affects the state of binderwrap. Therefore, the analysis of bead process is very important to obtain the desired formability. In this paper, the research about the influence of the punch stroke of bead on the draw-bead process was conducted. Results from the analysis will give useful information to the effective tool design of blank forming process. To analyze the bead process, and elasto-plastic finite element formulation is constructed from the equilibrium equation and the considered boundary conditions involved a proper contact condition. The static-explicit finite element method as a numerical method for the analysis was applied to the analysis program code. It was found that this method could solve too much computation time and convergence problem owing to high non-linearity of bead forming process.

  • PDF

Unconditional stability for explicit pseudodynamic testing

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
    • /
    • v.18 no.4
    • /
    • pp.411-428
    • /
    • 2004
  • In this study, a newly developed unconditionally stable explicit method is employed to solve momentum equations of motion in performing pseudodynamic tests. Due to the explicitness of each time step this pseudodynamic algorithm can be explicitly implemented, and thus its implementation is simple when compared to an implicit pseudodynamic algorithm. In addition, the unconditional stability might be the most promising property of this algorithm in performing pseudodynamic tests. Furthermore, it can have the improved properties if using momentum equations of motion instead of force equations of motion for the step-by-step integration. These characteristics are thoroughly verified analytically and/or numerically. In addition, actual pseudodynamic tests are performed to confirm the superiority of this pseudodynamic algorithm.

Determination of Wave Run-up Height on S-berm Breakwater (복합사면에서의 도파고 산정)

  • 유동훈;이대석
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.13 no.3
    • /
    • pp.202-208
    • /
    • 2001
  • Explicit approximation has been developed to estimate the run-up height on S-berm breakwater on the basis of Saville's hypothetical slope method. For the explicit expression of run-up height several relations are developed to represent the ratio of run-up height against breakwater slope with various conditions of water depth and wave steepness. For the verification of explicit approximation the results are compared with Saville's measurement data and simple expression of Delft Hydraulic Laboratory.

  • PDF

The dynamic explicit analysis of auto-body panel stamping process and investigating parameter affects of dynamic analysis (차체판넬 스템핑공정의 동적 외연적해석과 동적해석에 미치는 영향인자 분석)

  • Jung, Dong-Won
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.22 no.2
    • /
    • pp.380-390
    • /
    • 1998
  • In the present work a finite element formulation using dynamic explicit time integration scheme is used for numerical analysis of auto-body panel stamping processes. The lumping scheme is employed for the diagonal mass matrix and linearizing dynamic formulation. A contact scheme is developed by combining the skew boundary condition and direct trial-and-error method. In this work, for economic analysis the faster punch velocity and the mass scaling method are introduced. To investigate the effects of punch velocity and mass scaling, the various values of punch velocity and the various mass scalings are used for numerical analysis. Computations are carried out for analysis of complicated auto-body panel stamping processes such as forming of an oil pan and a fuel tank.

A Study of Auto-body Panel Correction of Forming Analysis that Use Dynamic-extensive Finite Element Method (동적-외연적 유한요소법을 이용한 차체 판넬 성형해석에 관한 연구)

  • Jung Dong Won;Hwang Jae Sin
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.21 no.10
    • /
    • pp.115-126
    • /
    • 2004
  • In the present work a finite element formulation using dynamic-explicit time integration scheme is used for numerical analysis of auto-body panel stamping processes. The lumping scheme is employed for the diagonal mass matrix and dynamic explicit formulation. Analyzed auto-body panel stomping process correction of forming using software called Dynaform using dynamic extensive method. Further, the simulated results for the auto-body panel stamping processes are shown and discussed. Its application is being increased especially in the automotive industrial area for the cost reduction, weight saving, and improvement of strength.

High Speed Impact and Penetration Analysis using Explicit Finite Element Method (외연 유한요소 기법을 사용한 고속충돌 및 관통해석)

  • Paik, Seung-Hoon;Kim, Seung-Jo
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.8 no.4 s.23
    • /
    • pp.5-13
    • /
    • 2005
  • The impact of a long-rod penetrator into oblique plates with combined obliquity and yaw is investigated. The study was done using a newly developed three dimensional dynamic and impact analysis code, which uses the explicit finite element method. Through the comparison of simulation result with experimental result and other code's result, the adaptability and accuracy of the developed code is evaluated under the complex situation in which yaw angle and oblique angle exist simultaneously. As a result of comparison, it has found that deformed shape, residual length and velocity, rotational velocity of long-rod show good agreement with experimental data. Through this study, the applicability and accuracy of the code as a metallic armour system design tool is verified.

On the maximum likelihood estimation for a normal distribution under random censoring

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
    • /
    • v.25 no.6
    • /
    • pp.647-658
    • /
    • 2018
  • In this paper, we study statistical inferences on the maximum likelihood estimation of a normal distribution when data are randomly censored. Likelihood equations are derived assuming that the censoring distribution does not involve any parameters of interest. The maximum likelihood estimators (MLEs) of the censored normal distribution do not have an explicit form, and it should be solved in an iterative way. We consider a simple method to derive an explicit form of the approximate MLEs with no iterations by expanding the nonlinear parts of the likelihood equations in Taylor series around some suitable points. The points are closely related to Kaplan-Meier estimators. By using the same method, the observed Fisher information is also approximated to obtain asymptotic variances of the estimators. An illustrative example is presented, and a simulation study is conducted to compare the performances of the estimators. In addition to their explicit form, the approximate MLEs are as efficient as the MLEs in terms of variances.

Some explicit solutions to plane equilibrium problem for no-tension bodies

  • Lucchesi, Massimiliano;Zani, Nicola
    • Structural Engineering and Mechanics
    • /
    • v.16 no.3
    • /
    • pp.295-316
    • /
    • 2003
  • A method is presented to integrate explicitly certain equilibrium problems for no-tension bodies, in absence of body forces and under the assumption that two of the principal stresses are everywhere null. The method is exemplified in the case of rectangular panels, clamped at their bottoms and loaded at their tops.