• 제목/요약/키워드: implicit equations of motion

검색결과 56건 처리시간 0.027초

Vertical vibrations of a multi-span beam steel bridge induced by a superfast passenger train

  • Klasztorny, M.
    • Structural Engineering and Mechanics
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    • 제12권3호
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    • pp.267-281
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    • 2001
  • Transient and quasi-steady-state vertical vibrations of a multi-span beam steel bridge located on a single-track railway line are considered, induced by a superfast passenger train, moving at speed 120-360 km/h. Matrix dynamic equations of motion of a simplified model of the system are formulated partly in the implicit form. A recurrent-iterative algorithm for solving these equations is presented. Excessive vibrations of the system in the resonant zones are reduced effectively with passive dynamic absorbers, tuned to the first mode of a single bridge span. The dynamic analysis has been performed for a series of types of bridges with span lengths of 10 to 30 m, and with parameters closed to multi-span beam railway bridges erected in the second half of the $20^{th}$ century.

Flood Impact Pressure Analysis of Vertical Wall Structures using PLIC-VOF Method with Lagrangian Advection Algorithm

  • Phan, Hoang-Nam;Lee, Jee-Ho
    • 한국전산구조공학회논문집
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    • 제23권6호
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    • pp.675-682
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    • 2010
  • The flood impact pressure acting on a vertical wall resulting from a dam-breaking problem is simulated using a navier-Stokes(N-S) solver. The N-S solver uses Eulerian Finite Volume Method(FVM) along with Volume Of Fluid(VOF) method for 2-D incompressible free surface flows. A Split Lagrangian Advection(SLA) scheme for VOF method is implemented in this paper. The SLA scheme is developed based on an algorithm of Piecewise Linear Interface Calculation(PLIC). The coupling between the continuity and momentum equations is affected by using a well-known Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) algorithm. Several two-dimensional numerical simulations of the dam-breaking problem are presented to validate the accuracy and demonstrate the capability of the present algorithm. The significance of the time step and grid resolution are also discussed. The computational results are compared with experimental data and with computations by other numerical methods. The results showed a favorable agreement of water impact pressure as well as the global fluid motion.

유연한 베이스 플레이트로 지지되는 회전 유연 HDD 디스크-스핀들계의 유한 요소 진동 해석 (Finite Element Modal Analysis of a Spinning Flexible Disk-spindle System Supported by a Flexible Base Plate in a HDD)

  • 한재혁;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.571-577
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    • 2003
  • This research proposes a finite element method to determine the natural vibration characteristics of the spinning disk-spindle system in a HDD including the flexibility of supporting structure. Finite element equations of each substructure are derived with the introduction of consistent variables to satisfy the geometric compatibility at the internal boundaries. The natural frequencies and modes from the global asymmetric matrix equations of motion are determined by using the implicit restarted Arnoldi iteration method. The validity of the proposed method is verified by the experimental modal testing. It also shows that the flexibility of base plate plays an important role to determine the natural frequencies of the spinning disk-spindle system in a HDD.

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과도 선형 동탄성 문제의 시간영역 유한요소해석 (A Time-Domain Finite Element Formulation for Transient Dynamic Linear Elasticity)

  • 심우진;이성희
    • 대한기계학회논문집A
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    • 제25권4호
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    • pp.574-581
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    • 2001
  • Transient linear elastodynamic problems are numerically analyzed in a time-domain by the Finite Element Method, for which the variational formulation based upon the equations of motion in convolution integral is newly derived. This formulation is implicit and does not include the time derivative terms so that the computation procedure is simple and less assumptions are required comparing to the conventional time-domain dynamic numerical algorithms, being able to get the improved numerical accuracy and stability. That formulation is expanded using the semi-discrete approximation to obtain the finite element equations. In the temporal approximation, the time axis is divided equally and constant and linear time variations are assumed in those intervals. It is found that unconditionally stable numerical results are obtained in case of the constant time variation. Some numerical examples are given to show the versatility of the presented formulation.

터빈유량계의 3차원 유동에 관한 수치적 연구 (Numerical Study of Three-dimensional Flow Through a Turbine Flow Meter)

  • 김진범;고성호
    • 한국유체기계학회 논문집
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    • 제6권1호
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    • pp.44-50
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    • 2003
  • Flow through a turbine flow meter is simulated by solving the incompressible Navier-Stokes equations. The solution method is based on the pseudo-compressibility approach and uses an implicit-upwind differencing scheme together with the Gauss-Seidel line relaxation method. The equations are solved steadily in rotating reference frames, and the centrifugal force and the Coriolis force are added to the equation of motion. The standard $k-{\epsilon}$model is employed to evaluate turbulent viscosity. Computational results yield quantitative as well as qualitative information on the design of turbine flow meters by showing the distributions of pressure and velocity around the turbine blades.

터빈유량계의 난류유동에 대한 수치해석 (Numerical Analysis of Turbulent Flow Through Turbine Flow Meter)

  • 김진범;박경암;고성호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.573-578
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    • 2000
  • Flow through turbine flow meter is simulated by solving the incompressible Navier-Stockes equations. The solution method is based on the pseudocompressibility approach and uses an implicit-upwind differencing scheme together with the Gauss-Seidel line relaxation method. The equations are solved steadily in rotating reference frames and the centrifugal force and tile Coriolis force are added to the equation of motion. The standard $k-{\varepsilon}$ model is employed to evaluate turbulent viscosity. At first the stability and accuracy of the program is verified with the flow through a square duct with a $90^{\circ}$ bend and on the flat plate.

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로켓엔진의 연소 불안정 해석을 위한 난류 모델링의 수치적 연구 (Numerical Study of Turbulence Modeling for Analysis of Combustion Instabilities in Rocket Motor)

  • 임석규;노태성
    • 한국추진공학회지
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    • 제6권2호
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    • pp.75-84
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    • 2002
  • 고체 추진 로켓 내부 연소실의 비정상 유동을 수치적으로 해석하였다. 완전 보존식을 이용하여 2 차원 축-대칭 연소실 안의 연소 불안정을 해석하기 위한 수치 기법을 구성하였는데 비정상 유동을 해석하기 위한 수정된 $\kappa$-$\varepsilon$ 난류 모델이 사용되었다. 이산화한 지배 방정식은 연관된 경계 조건을 포함하여 dual time-stepping 방법으로 시적분 하였다. 정상 상태의 계산을 기반으로 연소실 내의 천이 압력파의 비정상 상태를 수치적으로 모사하기 위하여 압력 펄스 및 압력 변동을 연소실 상단에 부과하였다. 로켓 모터 연소실 내의 다양한 정상 상태 및 비정상 상태의 특성을 계산 및 해석하였다.

터빈유량계의 3차원 유동에 관한 수치적 연구 (Numerical study of three-dimensional flow through turbine flow meter)

  • 김진범;박경암;고성호
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2000년도 유체기계 연구개발 발표회 논문집
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    • pp.247-252
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    • 2000
  • Flow through turbine flow meter is simulated by solving the incompressible Navier-Stockes equations. The solution method is based on the pseudocompressibility approach and uses an implicit-upwind differencing scheme together with the Gauss-Seidel Line relaxation method. The equations are solved steadily in rotating reference frames and the centrifugal force and the Coriolis force are added to the equation of motion. The standard k-$\epsilon$ model is employed to evaluate turbulent viscosity.

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유연한 보 구조물 위를 이동하는 구속 기계계의 동력학 해석(I) : 일반적인 접근법 (Dynamic Analysis of Constrained Mechanical System Moving on a Flexible Beam Structure(I) : General Approach)

  • 박찬종;박태원
    • 한국정밀공학회지
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    • 제17권11호
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    • pp.165-175
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    • 2000
  • In recent years, it becomes a very important issue to consider the mechanical systems such as high-speed vehicles and railway trains moving on elastic beam structures. In this paper, a general approach, which can predict the dynamic behavior of constrained mechanical system and elastic beam structure, is proposed. Also, various supporting conditions of a foundation support are considered for the elastic beam structures. The elastic structure is assumed to be a nonuniform and linear Bernoulli-Euler beam with proportional damping effect. Combined Differential-Algebraic Equations of motion are derived using multibody dynamics theory and Finite Element Method. The proposed equations of motion can be solved numerically using generalizd coordinate partitioning method and Predictor-Corrector algorithm, which is an implicit multi-step integration method.

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Dynamic Analysis of a Moving Vehicle on Flexible Beam structures ( I ) : General Approach

  • Park, Tae-Won;Park, Chan-Jong
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권4호
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    • pp.54-63
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    • 2002
  • In recent years, mechanical systems such as high speed vehicles and railway trains moving on elastic beam structures have become a very important issue to consider. In this paper, a general approach, which can predict the dynamic behavior of a constrained mechanical system moving on a flexible beam structure, is proposed. Various supporting conditions for the foundation support are considered for the elastic beam structure. The elastic structure is assumed to be a non-uniform and linear Bernoulli-Euler beam with a proportional damping effect. Combined differential-algebraic equation of motion is derived using the multi-body dynamics theory and the finite element method. The proposed equations of motion can be solved numerically using the generalized coordinate partitioning method and predictor-corrector algorithm, which is an implicit multi-step integration method.