• Title/Summary/Keyword: Nodal method

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A Study on the Deformation Behaviour of Bellows Subjected to Internal Pressure (내압을 받는 벨로즈의 변형 거동에 관한 연구)

  • 왕지석
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.5
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    • pp.702-710
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    • 1999
  • U-shaped bellows are usually used to piping system pressure sensor and controller for refriger-ator. Bellows subjected to internal pressure are designed for the purpose of absorbing deformation. Internal pressure on the convolution sidewall and end collar will be applied to an axial load tend-ing to push the collar away from the convolutions. To find out deformation behavior of bellow sub-jected to internal pressure the axisymmetric shell theory using the finite element method is adopted in this paper. U-shaped bellows can be idealized by series of conical frustum-shaped ele-ments because it is axisymmetric shell structure. The displacements of nodal points due to small increment of force are calculated by the finite element method and the calculated nodal displace-ments are added to r-z cylindrical coordinates of nodal points. The new stiffness matrix of the sys-tem using the new coordinates of nodal points is adopted to calculate the another increments of nodal displacement that is the step by step method is used in this paper. The force required to deflect bellows axially is a function of the dimensions of the bellows and the materials from which they are made. Spring constant is analyzed according to the changing geometric factors of U-shaped bellows. The FEM results were agreed with experiment. Using developed FORTRAN PROGRAM the internal pressure vs. deflection characteristics of a particu-lar bellows can be predicted by input of a few factors.

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An Application of Homogenization Theory to the Coarse-Mesh Nodal Calculation of PWRs (PWR 소격격자 Nodal 계산에의 균질화 이론 적용)

  • Myung Hyun Kim;Jonghwa Chang;Kap Suk Moon;Chang Kun Lee
    • Nuclear Engineering and Technology
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    • v.16 no.4
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    • pp.202-216
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    • 1984
  • The success of coarse-mesh nodal solution methods provides strong motivation for finding homogenized parameters which, when used in global nodal calculation, will reproduce exactly all average nodal reaction rates for large nodes. Two approximate theories for finding these ideal parameters, namely, simplified equivalence theory and approximate node equivalence theory, are described herein and then applied to the PWR benchmark problem. Nodal code, ANM, is used for the global calculation as well as for the homogenization calculation. From the comparative analysis, it is recommended that homogenization be carried out only for the unique type of fuel assemblies and for core boundary color-sets. The use of approximate homogenized cross-sections and approximate discontinuity factors predicts nodal powers with maximum error of 0.8% and criticality within 0.1% error relative to the fine-mesh KIDD calculations.

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A study of a motion estimation with the block-based method (Block-Based Method를 이용한 Motion Estimation에 관한 연구)

  • 김상기;이원희;김재영;변재응;이범로;정진현
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1-4
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    • 1996
  • It is difficult that a non-translational motion in a block is estimated by the block matching algorithm (BMA). In this paper, a nodal-displacement-based deformation model is used for this reason. This model assumes that a selected number of control nodes move freely in a block and that displacement of any interior point can be interpolated from nodal displacements. As a special case with a single node this model is equivalent to a translational model. And this model can represent more complex deformation using more nodes. We used an iterative gradient based search algorithm to estimate nodal displacement. Each iteration involves the solution of a simple linear equation. This method is called the deformable block matching algorithm (DBMA).

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Efficient Meshfree Analysis Using Stabilized Conforming Nodal Integration for Metal Forming Simulation

  • Han, Kyu-Taek
    • Journal of Advanced Marine Engineering and Technology
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    • v.34 no.7
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    • pp.943-950
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    • 2010
  • An efficient meshfree method based on a stabilized conforming nodal integration method is developed for elastoplastic contact analysis of metal forming processes. In this approach, strain smoothing stabilization is introduced to eliminate spatial instability in Galerkin meshfree methods when the weak form is integrated by a nodal integration. The gradient matrix associated with strain smoothing satisfies the integration constraint for linear exactness in the Galerkin approximation. Strain smoothing formulation and numerical procedures for path-dependent problems are introduced. Applications of metal forming analysis are presented, from which the computational efficiency has been improved significantly without loss of accuracy.

Computation of Dynamic Stress in Flexible Multi-body Dynamics Using Absolute Nodal Coordinate Formulation (절대절점좌표를 이용한 탄성 다물체동역학 해석에서의 동응력 이력 계산에 관한 연구)

  • 서종휘;정일호;박태원
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.5
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    • pp.114-121
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    • 2004
  • Recently, the finite element absolute nodal coordinate formulation (ANCF) was developed for the large deformation analysis of flexible bodies in multi-body dynamics. This formulation is based on the finite element procedures and the general continuum mechanics theory to represent the elastic forces. In this paper, a computation method of dynamic stress in flexible multi-body dynamics using absolute nodal coordinate formulation is proposed. Numerical examples, based on an Euler-Bernoulli beam theory, are shown to verify the efficiency of the proposed method. This method can be applied for predicting the fatigue life of a mechanical system. Moreover, this study demonstrates that structural and multi-body dynamic models can be unified in one numerical system.

Development of a Consistent General Order Nodal Method for Solving the Three-Dimensional, Multigroup, Static Neutron Diffusion Equation

  • Kim, H.D.
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.34-39
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    • 1996
  • A consistent general order nodal method for solving the 3-D neutron diffusion equation in (x-y-z) geometry has ben derived by using a weighted integral technique and expanding the spatial variables by the Legendre orthogonal series function. The equation set derived can be converted into any order nodal schemes. It forms a compact system for general order of nodal moments. The method utilizes the analytic solutions of the transverse-integrated quasi -one dimensional equations and a consistent expansion for the spatial variables so that it renders the use of an approximation for the transverse leakages no necessary. Thus, we can expect extremely accurate solutions and the solution would converge exactly when the mesh width is decreased or the approximation order is increased since the equation set is consistent mathematically.

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Stress Analysis in Nodal Zone by using Complementary Pole Method (Complementary Pole을 이용한 Nodal Zone의 응력해석)

  • Kang, Sung-Hun;Hong, Sung-Gul
    • Proceedings of the Korea Concrete Institute Conference
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    • 2010.05a
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    • pp.53-54
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    • 2010
  • This study investigates stress analysis in nodal zone by using Complementary Pole Method (CPM). The CPM is convenient tools for the stress or strain analysis since it enables to express parallel directions of the normal stress or strain on the Mohr Circle. In this study, it is suggested to use of CPM to analysis stress or strain in the field of Concrete Plasticity.

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A topology optimization method of multiple load cases and constraints based on element independent nodal density

  • Yi, Jijun;Rong, Jianhua;Zeng, Tao;Huang, X.
    • Structural Engineering and Mechanics
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    • v.45 no.6
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    • pp.759-777
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    • 2013
  • In this paper, a topology optimization method based on the element independent nodal density (EIND) is developed for continuum solids with multiple load cases and multiple constraints. The optimization problem is formulated ad minimizing the volume subject to displacement constraints. Nodal densities of the finite element mesh are used a the design variable. The nodal densities are interpolated into any point in the design domain by the Shepard interpolation scheme and the Heaviside function. Without using additional constraints (such ad the filtering technique), mesh-independent, checkerboard-free, distinct optimal topology can be obtained. Adopting the rational approximation for material properties (RAMP), the topology optimization procedure is implemented using a solid isotropic material with penalization (SIMP) method and a dual programming optimization algorithm. The computational efficiency is greatly improved by multithread parallel computing with OpenMP to run parallel programs for the shared-memory model of parallel computation. Finally, several examples are presented to demonstrate the effectiveness of the developed techniques.

Development of Approximate Calculation Methodology for Nodal Price by Unit Priority-order and Loadflow (발전기 우선투입법 및 조류계산에 의한 개략모선가격 산정법 개발)

  • Lee, Buhm;Kim, Yong-Ha;Choi, Nam-Sup
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.10a
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    • pp.780-784
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    • 2003
  • This parer propose a new method to calculate nodal price which is very useful data in electric market under non-optimal operation. To calculate nodal price, we employ marginal cost and power flow, and consider network loss, generator capability, and line capability. The proposed method is applied to the test system and the usefulness is verified.

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