• Title/Summary/Keyword: Implicit Formulation

Search Result 107, Processing Time 0.022 seconds

Thermopiezoelastic Nonlinear Dynamic Characteristics of Piezolaminated Plates (압전적층판의 열-압전-탄성 동적 비선형 작동특성)

  • Oh, Il-Kwon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2005.05a
    • /
    • pp.662-667
    • /
    • 2005
  • Nonlinear dynamics of active piezolaminated plates are investigated with respect to the thermopiezoelastic behaviors. For largely deformed structures with small strain, the incremental total Lagrangian formulation is presented based on the virtual work principles. A multi field layer wise finite shell element is proposed for assuring high accuracy and non-linearity of displacement, electric and thermal fields. For dynamic consideration of thermopiezoelastic snap through phenomena, the implicit Newmark's scheme with the Newton-Raphson iteration is implemented for the transient response of various piezolaminated models with symmetric or eccentric active layers. The bifurcate thermal buckling of symmetric structural models is first investigated and the characteristics of piezoelectric active responses are studied for finding snap through piezoelectric potentials and the load path tracking map. The thermoelastic stable and unstable postbuckling, thermopiezoelastic snap through phenomena with several attractors are proved using the nonlinear time responses for various initial conditions and damping loss factors. Present results show that thermopiezoelastic snap through phenomena can result in the difficulty of buckling and postbuckling control of intelligent structures.

  • PDF

A Numerical Study on Flow in a Water Jet (워터 제트내 유동장에 관한 수치해석 연구)

  • Kim, Ill-Soo;Park, Chang-Eun;Kim, Dae-Ho
    • 유체기계공업학회:학술대회논문집
    • /
    • 1998.12a
    • /
    • pp.27-32
    • /
    • 1998
  • This paper presents the development of a two-dimensional model for investigating the fluid flow in water jet and calculating the velocity and pressure distributions. The mathematical formulation as a standard k-$\epsilon$ model was solved employing a general thermofluid-mechanics computer program, PHOENICS code, which is based on the Semi-Implicit Method Pressure Linked Equations(SIMPLE) algorithm. The developed code was applied to water jet design to determine the nozzle size, and investigated the effect of the change of nozzle location. Calculated results showed that the flow pattern is not changed as the change of nozzle location.

  • PDF

Finite Element Analysis for Three Dimensional Welding Processes (3차원 용접과정의 유한요소해석)

  • Kim, Ju-Wan;Cho, Young-Sam;Kim, Hyun-Gyu;Choi, Kang-Hyouk;Im, Se-Young
    • Proceedings of the KSME Conference
    • /
    • 2001.11a
    • /
    • pp.336-340
    • /
    • 2001
  • We propose an implicit numerical implementation for the Leblond's transformation plasticity constitutive equations, which are widely used in welded steel structure. We apply generalized trapezoidal rule to integrate the equations and determine the consistent tangent moduli. The implementation may be used with updated Lagrangian formulation. We test a simple butt-welding process to compare with SYSWELD and discuss the accuracy.

  • PDF

Performance Evaluation and Numerical Calculation of Flows through a Vaned Diffuser for Centrifugal Compressor (원심압축기용 베인 디퓨저 내부유동의 수치해석 및 성능평가)

  • Choi, Yun-Ho;Kang, Shin-Hyoung;Lee, Jang-Chun
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.23 no.10
    • /
    • pp.1296-1309
    • /
    • 1999
  • A three dimensional compressible Navier-Stokes code is developed to analyze flowfields and performance of a vaned diffuser in a centrifugal compressor. It employs scalar implicit approximate factorization, finite volume formulation, second order upwind differencing and a two-equation $q-{\omega}$ turbulence model based on the integration to the wall. Pressure recovery and loss coefficients of a vaned diffuser are evaluated using a developed computer code. The simulated three dimensional flows show how through flow structure affects pressure recovery performance and loss coefficients of a vane for design and off-design inlet flow angles. Development of complex three dimensional flow over the inlet region and leading edge are very influential to the overall flow and performance.

비배수 지하굴착의 거동에 관한 수치해석적 방법

  • 이승래
    • Proceedings of the Korean Geotechical Society Conference
    • /
    • 1989.10a
    • /
    • pp.1.1-10
    • /
    • 1989
  • 본 연구에서는 유효응력 개념에 기초를 둔 응력-변형을 관계식을 이용하여 비배수 지하굴착 거등을 모댈하기 위한 수치해석적 방법이 개발된다. 비배수 조건 시 적용되는 체적불변형 조건은 조건방정식(Penalty formulation)의 혁태로 공극수압 변수를 이용하여 주어지며 결과되는 유한요소 방정식에 상닻히 른 물외 체적변형 개수를 부여함으로서 이루어진다. 이러한 형태와 조건식은 지하굴착 과정에서 발생되는 비배수 공극수압의 계산을 가능케 한다. 체적불변형 조건 부여 시 발생되는 mesh locking은 그 결과에 상당한 영향을 미치므로 이러한 mesh locking 문제는 T-방법에 근거를 둔 salective 적분방법월 적용함으로서 해결될 수 있다. 또한 흙의 거등을 모델하기 위하여 사용 된 Cam-Clay모텔과 Drucker-prager모텔에 새로운 implicit 웅력적분 방법을 적용함으로서 효율적인 방법으로 비선형거동을 해석할 수 있다. 개발된 지하 굴착 해석방법의 적용성을 검증하기 위하여 실재 현장에서 측정된 지하굴착 거동을 예제로 이용하였다.

  • PDF

Navier-Stokes Computations of Supersonic Flow over Missile Afterbodies Containing a Centered Propulsive Jet (Navier-Stokes 방정식을 이용한 초음속 제트 추진 비행체 후방의 유동해석)

  • 윤병국;정명균
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.16 no.2
    • /
    • pp.356-368
    • /
    • 1992
  • The strongly interactive flow field near a missile afterbody containing a centered exhaust jet is numerically investigated. The thin shear layer and full formulation of compressible, Reynolds I averaged Navier-Stokes equations are solved. A time-dependent implicit numericals algorithm is used to obtain solution for a variety of flow conditions. Turbulence closure is implemented by the Baldwin-Lomax algebraic eddy viscosity model. An adaptive grid technique is adopted to resolve flow regimes with large gradients and to improve the accuracy and efficiency of the computation, Numerical results show good agreemement with experimental data in all regimes.

탄화수소/산소 혼합기체가 채워진 관 내부를 전파하는 데토네이션 파의 해석과 가시화

  • Choe Jeong Yeol
    • 한국가시화정보학회:학술대회논문집
    • /
    • 2004.04a
    • /
    • pp.29-36
    • /
    • 2004
  • A numerical study is carried out on the detonation wave propagation through a T-shaped flame tube, which represents a crucial part of the combustion wave ignition (CWI) system aimed for simultaneous ignition of multiple combustion chambers by delivering detonation waves. The formulation includes the Euler equations and an induction-parameter model. The reaction rate is treated based on a chemical kinetics database obtained from a detailed chemistry mechanism. A second-order implicit time integration and a third-order TVD algorithm are Implemented to solve the theoretical model numerically. A total of more than two-million grid points are used to provide direct insight into the dynamics of the detonation wave. Several important phenomena including detonation wave propagation, degeneration, and re-initiation are carefully examined. Information obtained can be effectively used to facilitate the design and optimization of the flame tubes of CWI systems.

  • PDF

Design of automotive inner panel by sectional forming analysis (단면성형 해석에 의한 자동차 내부 판넬의 설계)

  • 금영탁;왕노만
    • Journal of the korean Society of Automotive Engineers
    • /
    • v.12 no.6
    • /
    • pp.48-59
    • /
    • 1990
  • A finite element program was developed using line elements for simulating the stretch/draw forming operation of an arbitrarily-shaped plane-strain section. An implicit, incremental, updated Lagrangian formulation is employed, introducing a minimum plastic work path assumption for each time step. Geometric and material nonlinearities are also considered within each time step. The finite element equation is based on the mesh-normal, which compatibly describes arbitrary tool surfaces and FEM meshes without depending on the explicit spatial derivatives of tool surfaces. The membrane approximation is adopted under the plane stress assumption. The sheet material is assumed to obey a rigid-viscoplastic constitutive law. The developed program was tested in the die-tryout of typical automotive inner panels. In order to determine a single friction coefficient and boundary length, FEM results and measurements of thinning for a stretched section of final die were compared. After finding analysis parameters, the sheet forming operations of original and final die designs were simulated. Excellent agreement between measured and computed thickness strains was obtained and the developed program was able to identify die designs which were rejected during die tryout.

  • PDF

Numerical Solutions of Multi-Dimensional Solidification/Melting Problems by the Dual Reciprocity Boundary Element Method

  • Jo, Jong-Chull;Shin, Won-Ky
    • Proceedings of the Korean Nuclear Society Conference
    • /
    • 1997.10a
    • /
    • pp.617-624
    • /
    • 1997
  • This Paper Presents an effective and simple procedure for the simulation of the motion of the solid-liquid interfacial boundary and the transient temperature field during phase change process. To accomplish this purpose, an iterative implicit solution algorithm has been developed by employing the dual reciprocity boundary element method. The dual reciprocity boundary element approach provided in this paper is much simpler than the usual boundary element method applying a reciprocity principle and an available technique for dealing with domain integral of boundary element formulation simultaneously. The effectiveness of the present analysis method have been illustrated through comparisons of the calculation results of an example with its semi-analytical or other numerical solutions where available.

  • PDF

Earing Predictions in the Deep-Drawing Process of Planar Anisotropic Sheet-Metal (평면 이방성 박판 딥드로잉 공정의 귀발생 예측)

  • 이승열;금영탁;정관수;박진무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 1994.03a
    • /
    • pp.118-128
    • /
    • 1994
  • The planar anisotropic FEM analysis for predicting the earing profiles and draw-in amounts in the deep-drawing processes is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-based unit vectors and the normal contact pressure. the consistent full set of governing relations, comprising equilibrium and geometric constraint equations, is appropriately linearized. Barlat's strain-rate potential is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and potential parameter. The linear triangular membrane elements are used for depicting the formed sheet. with the numerical simulations of deep drawing processes of flat-top cylindrical cup for the 2090-T3 aluminum effects on the earing behavior are examined. Earing predictions made for the 2090-T3 aluminum alloy sheet show good agreement with experiments, although some discrepancies were observed in the directional trend of cup height and thickness strains.

  • PDF