• Title/Summary/Keyword: numerical formulation

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Time harmonic analysis of dam-foundation systems by perfectly matched layers

  • Khazaee, Adib;Lotfi, Vahid
    • Structural Engineering and Mechanics
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    • v.50 no.3
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    • pp.349-364
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    • 2014
  • Perfectly matched layers are employed in time harmonic analysis of dam-foundation systems. The Lysmer boundary condition at the truncation boundary of the PML region has been incorporated in the formulation of the dam-foundation FE model (including PML). The PML medium is defined in a way that the formulation of the system can be transformed into time domain. Numerical experiments show that applying Lysmer boundary conditions at the truncation boundary of the PML area reduces the computational cost and make the PML approach a more efficient technique for the analysis of dam-foundation systems.

The Least-Squares Meshfree Method for the Analysis of Rigid-Plastic Deformation (강소성 변형 해석을 위한 최소 제곱 무요소법)

  • 윤성기;권기찬
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.12
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    • pp.2019-2031
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    • 2004
  • The least-squares formulation for rigid-plasticity based on J$_2$-flow rule and infinitesimal theory and its meshfree implementation using moving least-squares approximation are proposed. In the least-squares formulation the squared residuals of the constitutive and equilibrium equations are minimized. Those residuals are represented in a form of first-order differential system using the velocity and stress components as independent variables. For the enforcement of the boundary and frictional contact conditions, penalty scheme is employed. Also the reshaping of nodal supports is introduced to avoid the difficulties due to the severe local deformation near the contact interface. The proposed least-squares meshfree method does not require any structure of extrinsic cells during the whole process of analysis. Through some numerical examples of metal forming processes, the validity and effectiveness of the method are investigated.

Extended impedance control of redundant manipulators

  • Oh, Yonghwan;Chung, Wankyun;Youm, Youngil
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.73-76
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    • 1996
  • An impedance control approach based on an extended task space formulation is addressed to control the kinematically redundant manipulators. Defining a weighted inner product in joint space, a minimal parametrization of the null space can be achieved and we can visualize the null space motion explicitly. Based on this formulation, we propose a control method called inertially decoupled impedance controller to control the motion of the end-effector as well as the internal motion expanding the conventional impedance control. Some numerical simulations are given to demonstrate the performance of the proposed control method.

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Numerical investigation on scale-dependent vibrations of porous foam plates under dynamic loads

  • Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.;Fatima, Fatima Masood
    • Structural Monitoring and Maintenance
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    • v.7 no.2
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    • pp.85-107
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    • 2020
  • Dynamic responses of porous piezoelectric and metal foam nano-size plates have been examined via a four variables plate formulation. Diverse pore dispersions named uniform, symmetric and asymmetric have been selected. The piezoelectric nano-size plate is subjected to an external electrical voltage. Nonlocal strain gradient theory (NSGT) which includes two scale factors has been utilized to provide size-dependent model of foam nanoplate. The presented plate formulation verifies the shear deformations impacts and it gives fewer number of field components compared to first-order plate model. Hamilton's principle has been utilized for deriving the governing equations. Achieved results by differential quadrature (DQ) method have been verified with those reported in previous studies. The influences of nonlocal factor, strain gradients, electrical voltage, dynamical load frequency and pore type on forced responses of metal and piezoelectric foam nano-size plates have been researched.

A Dynamic-explicit Finite Element Analysis for Hydro-forming Process (Hydro-forming 공정을 위한 동적-외연적 유한요소해석)

  • Jung, D.W.;Hwang, J.S.
    • Journal of Power System Engineering
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    • v.8 no.3
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    • pp.23-29
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    • 2004
  • In this paper, a finite element formulation using dynamic-explicit time integration scheme is used for numerical analysis of Hydro-forming processes. The lumping scheme is employed for the diagonal mass matrix and dynamic explicit formulation. Hydro-forming process for auto-body panel forming is analyzed by using dynamic-explicit finite element method. Further, the simulated results of the Hydro-forming 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.

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A Numerical Model of EM field calculation using Absorbing Boundary Conditions (Absorbing Boundary Condition을 이용한 전자파 수치해석)

  • Shin, Pan-Seok
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.78-81
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    • 1990
  • The Engquist-Majdas second-order Absorbing Boundary Conditions (ABC) has been combined with the finite element formulation replacing the boundary integral equations in the hybrid finite-boundary element method (HEM). The method is applied to electromagnetic field radiation problems, especially to the microwave launcher, in order to verify the finite element formulation with the ABC's. The results with ABC are in good agreement with those of HEM. In order to see the applicability of the ABC, a simplified microwave oven utilizing ABC and an absorbing material are provided. The EM field distribution of the model is visualized. This method could be a useful analysis and design tool for EM field devices.

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T-spline FEA for Trimmed NURBS Surface (트림 NURBS 곡면의 T-스플라인 유한요소해석)

  • Kim, Hyun-Jung;Seo, Yu-Deok;Youn, Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.2
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    • pp.135-144
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    • 2009
  • In this present work, spline FEA for the trimmed NURBS surface of the 2D linear elasticity problem is presented. The main benefit of the proposed method is that no additional efforts for modeling of trimmed NURBS surfaces are needed and the information of the trimming curves and trimmed surfaces exported from the CAD system can be directly used for analysis. For this, trimmed elements are searched by using NURBS projection scheme. The integration of the trimmed elements is performed by using the NURBS-enhanced integration scheme. The formulation of constructing stiffness matrix of trimmed elements is presented. In this formulation, the information of the trimming curve is used for calculating the Jacobian as well as for obtaining integration points. The robustness and effectiveness of the proposed method are investigated through various numerical examples.

HYDROPLANING ANALYSIS BY FEM AND FVM - EFFECT OF TIRE ROLLING AND TIRE PATTERN ON HYDROPLANING

  • Nakajima, Y.;Seta, E.;Kamegawa, T.;Ogawa, H.
    • International Journal of Automotive Technology
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    • v.1 no.1
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    • pp.26-34
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    • 2000
  • The new numerical procedure for hydroplaning has been developed by considering the following three important factors; fluid/structure interaction, tire rolling, and practical tread pattern. The tire was analyzed by FEM with Lagrangian formulation and the fluid is analyzed by FVM with Eulerian formulation. Since the tire and the fluid are modeled separately and their coupling is automatically computed by the coupling element, the fluid/structure interaction of the complex geometry such as the tire with the tread pattern can be analyzed practically. We verified the predictability of the hydroplaning simulation in the different parameters such as the water flow, the velocity dependence of hydroplaning, and the effect of the tread pattern on hydroplaning. In order to predict the streamline in the contact patch, the procedure of the global-local analysis was developed. Since the streamline could be predicted by this technology, we could develop the new pattern in a short period based on the principle; "make the stream line smooth".

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A Study on the FEM/GEM for Sectional Analysis of Deep Drawing Panels (딥드로잉 판넬의 단면성형 해석을 위한 유한요소법/기하학힘평형법에 관한 연구)

  • 김종필;금영덕;이종문
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1993.10a
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    • pp.212-217
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    • 1993
  • A 2-dimensional FEM/GEM program was developed for analyzing forming processes of an arbitrarily shaped draw-die, in which plane strain condition is assumed and linear line elements are employed. FEM formulation adopted a new algorithm for solving force equilibrium as well as non-penetration condition simultaneously. For the case of numerical divergence at nearly final forming stages and the initial guess in Newton-Raphson iterations, geometric force equilibrium method(GEM) is also introduced. The developed program was tested with the simulation of stamping processes of automotive bonnet inner pannel in order to verify the usefulness and validity of FEM/GEM formulation.

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An Incompressible Flow Computation by a Hierarchical Iterative and a Modified Residual Method (계층적 반복과 수정 잔여치법에 의한 비압축성 유동 계산)

  • Kim J. W.
    • Journal of computational fluids engineering
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    • v.9 no.3
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    • pp.57-65
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    • 2004
  • The incompressible Navier-Stokes equations in two dimensions are stabilized by a modified residual method, and then discretized by hierarchical elements. The stabilization is necessary to escape from the Ladyzhenskaya-Babuska-Brezzi(LBB) constraint and hence to achieve an equal order formulation. To expedite a standard iterative method such as the conjugate gradient squared(CGS) method, a preconditioning technique called the Hierarchical Iterative Procedure(HIP) has been applied. In this paper, we increased the order of interpolation within an element up to cubic. The hierarchical elements have been used to achieve a higher order accuracy in fluid flow analyses, but a proper efficient iterative procedure for higher order finite element formulation has not been available so far The numerical results by the present HIP for the lid driven cavity flow and others showed the present procedure to be stable, very efficient and useful in flow analyses in conjunction with hierarchical elements.