• Title/Summary/Keyword: Piecewise analysis

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Analysis of a Two Stable Multi-Vibrator using a Tunnel Diode Pair Circuit (2안정 멀티바이브레이터 터널 다이오우드 대회로의 해석)

  • 이광형
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.8 no.1
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    • pp.38-42
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    • 1983
  • The characteristic of a Tunnel Diode(TD) is approximated by the summation of two exponential terms, obtained from the haracteristic curves displayed on the curve tracer. Using this result, static characteristic of a TD pair was plotted by a computer programming. From these static characteristic curves, the triggering behavior of TC pair multi-vibrators was described graphically. Two stable characteristics were analyzed by piecewise linear Method. Theoritical switching Theoritical switching times of a TD pair flip-flop(F-F) circuits were compared with experimental results.

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Computation of Radar Cross Section from Arbitrarily Shaped Composite Objects Using Combined Field Integral Equation (결합 적분방정식을 이용한 임의 형태 복합구조의 레이더 단면적 산출)

  • 한상호;정백호;윤희상
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.53 no.1
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    • pp.41-46
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    • 2004
  • In this paper, we present a new combined field integral equation (CFIE) formulation for the analysis of electromagnetic scattering from arbitrarily shaped three-dimensional perfectly conducting and piecewise homogeneous dielectric composite body. The conducting/dielectric structures are approximated by planar triangular patches, which have the ability to conform to any geometrical surface. The surface covering the conducting body is replaced by an equivalent surface electric current and the surface of the dielectric by equivalent electric and magnetic currents. The all equivalent currents are approximated in terms of RWG (Rao, Wilton, Glisson) functions. The objective of this paper is to illustrate that the CFIE is a valid methodology in removing defects, which occur at a frequency corresponding to an internal resonance of the structure. Numerical results are presented and compared with solutions obtained using other formulations.

A curvature method for beam-column with different materials and arbitrary cross-section shapes

  • Song, Xiaobin
    • Structural Engineering and Mechanics
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    • v.43 no.2
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    • pp.147-161
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    • 2012
  • This paper presents a curvature method for analysis of beam-columns with different materials and arbitrary cross-section shapes and subjected to combined biaxial moments and axial load. Both material and geometric nonlinearities (the p-delta effect in this case) were incorporated. The proposed method considers biaxial curvatures and uniform normal strains of discrete cross-sections of beam-columns as basic unknowns, and seeks for a solution of the column deflection curve that satisfies force equilibrium conditions. A piecewise representation of the beam-column deflection curve is constructed based on the curvatures and angles of rotation of the segmented cross-sections. The resulting bending moments were evaluated based on the deformed column shape and the axial load. The moment curvature relationship and the beam-column deflection calculation are presented in matrix form and the Newton-Raphson method is employed to ensure fast and stable convergence. Comparison with results of analytic solutions and eccentric compression tests of wood beam-columns implies that this method is reliable and effective for beam-columns subjected to eccentric compression load, lateral bracings and complex boundary conditions.

Hierarchic Shell Model Based on p-Convergence (p-수렴방식에 기초한 계층요소 쉘 모델)

  • 우광성
    • Computational Structural Engineering
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    • v.3 no.1
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    • pp.59-70
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    • 1990
  • The p-version of the finite element method is a new approach to finite element analysis in which the partition of the domain is held fixed while the degree p of approximating piecewise polynomials is increased. In this paper, the focus is on computer implementation of a new hierarchic p-convergence shell model based on blend mapping functions. Its rigid-body modes, round-off error, and convergence characteristics are investigated.

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

  • Phan, Hoang-Nam;Lee, Jee-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.6
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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.

Analytic Investigation of Multi-Component Elastic Cables under 3-D Concentrated Static Loads (3차원 정적 집중하중을 받는 복합 탄성 케이블의 정적 해석)

  • Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.28 no.3
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    • pp.193-198
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    • 2014
  • An elastic cable with piecewise constant properties under the action of concentrated static loads is studied analytically. Analytic solutions for catenary cables are combined at the discontinuous points caused by the discontinuous elastic properties or concentrated loads. The application of the boundary conditions at both ends of the multi-component cable results in three algebraic non-linear equations for three unknown parameters, which are determined numerically. The solutions for the shape, tension, elongation, and cross-sectional contraction of the cable are expressed in closed forms. Some examples are given for cases of two- and three-dimensional loads.

STABILIZED-PENALIZED COLLOCATED FINITE VOLUME SCHEME FOR INCOMPRESSIBLE BIOFLUID FLOWS

  • Kechkar, Nasserdine;Louaar, Mohammed
    • Journal of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.519-548
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    • 2022
  • In this paper, a stabilized-penalized collocated finite volume (SPCFV) scheme is developed and studied for the stationary generalized Navier-Stokes equations with mixed Dirichlet-traction boundary conditions modelling an incompressible biological fluid flow. This method is based on the lowest order approximation (piecewise constants) for both velocity and pressure unknowns. The stabilization-penalization is performed by adding discrete pressure terms to the approximate formulation. These simultaneously involve discrete jump pressures through the interior volume-boundaries and discrete pressures of volumes on the domain boundary. Stability, existence and uniqueness of discrete solutions are established. Moreover, a convergence analysis of the nonlinear solver is also provided. Numerical results from model tests are performed to demonstrate the stability, optimal convergence in the usual L2 and discrete H1 norms as well as robustness of the proposed scheme with respect to the choice of the given traction vector.

Strain-smoothed polygonal finite elements

  • Hoontae Jung;Chaemin Lee;Phill-Seung Lee
    • Structural Engineering and Mechanics
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    • v.86 no.3
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    • pp.311-324
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    • 2023
  • Herein, we present effective polygonal finite elements to which the strain-smoothed element (SSE) method is applied. Recently, the SSE method has been developed for conventional triangular and quadrilateral finite elements; furthermore, it has been shown to improve the performance of finite elements. Polygonal elements enable various applications through flexible mesh handling; however, further development is still required to use them more effectively in engineering practice. In this study, piecewise linear shape functions are adopted, the SSE method is applied through the triangulation of polygonal elements, and a smoothed strain field is constructed within the element. The strain-smoothed polygonal elements pass basic tests and show improved convergence behaviors in various numerical problems.

Plastic limit analysis of a clamped circular plate with unified yield criterion

  • Ma, Guowei;Hao, Hong;Iwasaki, Shoji
    • Structural Engineering and Mechanics
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    • v.7 no.5
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    • pp.513-525
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    • 1999
  • This paper presents exact close form solutions of plastic limit loads of a clamped circular plate under uniformly distributed load with different loading radii. A unified yield criterion, which includes a family of piecewise linear yield criteria and the commonly adopted yield criteria such as the Tresca criterion and the maximum principal deviatoric stress criterion or the twin shear stress criterion that are its special cases, and the Mises criterion can be approximated by it, is employed in the analysis. The plastic limit loads, moment fields and velocity fields of the clamped circular plate are calculated based on the unified yield criterion. The influences of the yield criteria, the edge effects and the loading radius on the plastic limits of the clamped circular plate are investigated. Analytical results are calculated and compared. The exact close form solutions presented in this paper provide efficient approaches for obtaining plastic limit loads and the corresponding moments and velocities of the clamped circular plates. The previously derived solutions based on the Tresca and the Mises criteria are its special cases.

Hydroelastic Analysis of Pontoon Type VLFS Considering the Location and Shape of OWC Chamber (공기챔버 위치에 따른 폰툰형 초대형 구조물 유탄성응답 해석)

  • Hong, Sa-Young;Kyoung, Jo-Hyun;Kim, Byoung-Wan
    • Journal of Ocean Engineering and Technology
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    • v.22 no.1
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    • pp.22-29
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    • 2008
  • A numerical investigation is made on the effects of the location and shape of the front wall of an OWC(Oscillating Water Column) chamber on the hydroelastic response of a VLFS. Most of the studies on the effects of an OWC chamber on the response of a VLFS have assumed the location of the OWC chamber to be at the front of the VLFS. In the present study, an OWC-chamber is introduced at an arbitrary position in relation to a VLFS to determine the influence of the location and shape of the OWC chamber on the hydroelastic response of the VLFS. A finite element method is adopted as a numerical scheme for the fluid domain. or the finite element method, combined with a mode superposition method, is applied in order to consider the change of mass and stiffness The OWC chamber in a piecewise constant manner. or the facilitated anefficient analysis of The hydroelastic response of the VLFS, as well as the easy modeling of different shape and material properties for the structure. Reduction of hydroelastic response of the VLFS is investigated for various locations and front wall shapes of the owe chamber.