• Title/Summary/Keyword: numerical formulation

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Modeling of fractional magneto-thermoelasticity for a perfect conducting materials

  • Ezzat, M.A.;El-Bary, A.A.
    • Smart Structures and Systems
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    • v.18 no.4
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    • pp.707-731
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    • 2016
  • A unified mathematical model of the equations of generalized magneto-thermoelasticty based on fractional derivative heat transfer for isotropic perfect conducting media is given. Some essential theorems on the linear coupled and generalized theories of thermoelasticity e.g., the Lord- Shulman (LS) theory, Green-Lindsay (GL) theory and the coupled theory (CTE) as well as dual-phase-lag (DPL) heat conduction law are established. Laplace transform techniques are used. The method of the matrix exponential which constitutes the basis of the state-space approach of modern theory is applied to the non-dimensional equations. The resulting formulation is applied to a variety of one-dimensional problems. The solutions to a thermal shock problem and to a problem of a layer media are obtained in the present of a transverse uniform magnetic field. According to the numerical results and its graphs, conclusion about the new model has been constructed. The effects of the fractional derivative parameter on thermoelastic fields for different theories are discussed.

Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses (진동응답을 최소화하는 비구속형 제진보의 제진 부위 최적설계)

  • Lee, Doo-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.7 s.100
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    • pp.829-835
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    • 2005
  • An optimization formulation of unconstrained damping treatment on beam is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. Vibration responses are calculated by using the modal superposition principle, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in suppressing nitration responses by means of unconstrained damping layer treatment.

A Generalized Modal Analysis for Multi-Stepped, Distributed-Parameter Rotor-Bearing Systems (다단 연속 회전체 베어링 계의 일반화된 모드 해석)

  • 박종혁;홍성욱
    • Journal of KSNVE
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    • v.9 no.3
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    • pp.525-534
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    • 1999
  • The present paper proposes a generalized modal analysis procedure for non-uniform, distributed-parameter rotor-bearing systems. An exact element matrix is derived for a Timoshenko shaft model which contains rotary inertia, shear deformation, gyroscopic effect and internal damping. Complex coordinates system is adopted for the convenience in formulation. A generalized orthogonality condition is provided to make the modal decomposition possible. The generalized modal analysis by using a modal decomposition delivers exact and closed form solutions both for frequency and time responses. Two numerical examples are presented for illustrating the proposed method. The numerical study proves that the proposed method is very efficient and useful for the analysis of distributed-parameter rotor-bearing systems.

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Shape Optimization of Piezoelectric Materials for Piezoelectric-Structure-Acoustic System (압전-구조-음향 연성계의 압전 액츄에이터 최적설계)

  • Wang, Se-Myung;Lee, Kang-Hoon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1627-1632
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    • 2000
  • Recently, piezoelectric materials have attracted considerable attention because of its self-sensing and actuating properties. To model smart structures, numerical modeling of structures with piezoelectric devices is essential. As many factors affect the performance of smart structures, optimization of these parameters is necessary. In this paper, the shape design sensitivity analysis of the 3D piezoelectric and structural elements is developed and shape optimization is performed. For the evaluation of the sensitivity, the finite element method is used. For the shape sensitivity, the domain velocity field is calculated. An acoustic cavity model is presented as a numerical example to study the feasibility of the formulation. The continuum sensitivity is compared with the results of the finite difference method by ANSYS. And the sequential linear programming (SLP) algorithm is used as the optimization algorithm.

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Numerical Study for Drag and Noise Reduction of Electrical Cable (송전선의 항력저감 및 소음에 관한 수치 연구)

  • Yoon, T.S.;Lee, S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1716-1720
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    • 2000
  • To develop the code of predicting flow-field and aeroacoustic noise by a electrical cable, a combined CFD-acoustic analogy approach is selected. The two-dimensional, unsteady, incompressible Reynolds-Averaged Navier-Stokes solver with a ${\kappa}{\omega}$, ${\kappa}{\omega}$ SST turbulence modeling is used to calculate the near-field around electrical cable. Near-field results are then coupled with two-dimensional Curle's integral formulation based upon Lighthill's acoustic analogy with an assumption of acoustic compactness. To validate this code, numerical results are compared with experimental data for a circular cylinder. The simulation shows an overprediction on acoustic amplitudes, but overally speaking, the spectrum pattern of sound pressure agrees well with experiment in an acceptable amount of error. In addition, various cross sections of a cable were selected and compared with each other in terms of drag and radiated noise.

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2-Dimensional Numerical Studies on Thin HTS Film under Time Varying Magnetic Field Using Finite Element Method (변화하는 자기장 하에 있는 고온초전도체에 대한 유한요소법을 이용한 2차원 수치해석 연구)

  • Kwak, K.S.;Lee, H.Y.;Rhee, J.K.;Youm, D.;Yoo, J.;Han, Y.H.;Park, B.J.
    • Progress in Superconductivity
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    • v.13 no.3
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    • pp.151-157
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    • 2012
  • In this paper, we used E-J constitutive law and H-formulation to calculate magnetic field profile, current density, and magnetization of high temperature superconductor (HTS) placed in time varying applied magnetic field. Finite element method (FEM)-based software, Comsol Multiphysics 3.5a, was employed to simulate 2-dimensional model of a superconducting thin strip. The numerical results based on Kim's critical state model were compared with the case of strip in a perpendicular field in the Brandt's paper as well as experimental data observed by Scanning Hall Probe and SQUID.

Finite Element Analysis of Flexural Composite Members Considering Early-Age Concrete Properties (콘크리트의 초기재령특성을 고려한 합성형 휨 부재의 유한요소 거동해석)

  • 강병수;주영태;신동훈;이용학
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.463-468
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    • 2003
  • A finite element formulation to predict the flexural behavior of composite girder is presented in which the early-age properties of concrete are specified including maturing of elastic modulus, creep and shrinkage. The time dependent constitutive relation accounting for the early-age concrete properties is derived in an incremental format by expanding the total form of stress-strain relation by the first order Taylor series with respect to the reference time. The total potential energy of the flexural composite member is minimized to derive the time dependent finite element equilibrium equation. Numerical applications are made for the 3-span double composite steel box girders which is a composite bridge girder filled with concrete at the bottom of the steel box in the negative moment region. The numerical analysis with considering the variation of concrete elastic modulus are performed to investigate the effect of it on the early-age behavior of composite structures. The one dimensional finite element analysis results are compared with the analytical method based on the sectional analysis. Close agreement is observed among the two methods.

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Formulation of DNC (Direct Numerical Control) system for controlling flexible manufacturing system (FMS 제어를 위한 DNC 시스템의 형성에 관한 연구)

  • 이병룡;이석희
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.242-248
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    • 1987
  • Recently, a quite large number of investigation is published on the subject of Flexible Manufacturing System which can cope with the volatile market demand and the variety of product. Minimum requirement of designing FMS is depicted and by investigating the communication system between the machine tool and the cell control computer, ana between the central computer and the cell control computer, when it is formed as a sub-system of an FEM, the software can be evolved to the control software of the total Flexible Manufacturing System. It is developed the communication system between the central computer and the cell control computer which is the basic structure of the control architecture of FMS under the concept of DNC (Direct Numerical Control). It is used CYBER 180-830 as the central computer, and GMC-1100 computer as the cell control computer, and the main basic program is developed and tested, thus forming a DNC system which can be used in educational environment.

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Static behavior of nonlocal Euler-Bernoulli beam model embedded in an elastic medium using mixed finite element formulation

  • Nguyen, Tuan Ngoc;Kim, Nam-Il;Lee, Jaehong
    • Structural Engineering and Mechanics
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    • v.63 no.2
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    • pp.137-146
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    • 2017
  • The size-dependent behavior of single walled carbon nanotubes (SWCNT) embedded in the elastic medium and subjected to the initial axial force is investigated using the mixed finite element method. The SWCNT is assumed to be Euler-Bernoulli beam incorporating nonlocal theory developed by Eringen. The mixed finite element model shows its great advantage of dealing with nonlocal behavior of SWCNT subjected to a concentrated load owing to the existence of two coefficients ${\alpha}_1$ and ${\alpha}_2$. This is the first numerical approach to deal with a puzzling fact of nonlocal theory with concentrated load. Numerical examples are performed to show the accuracy and efficiency of the present method. In addition, parametric study is carefully carried out to point out the influences of nonlocal effect, the elastic medium, and the initial axial force on the behavior of the carbon nanotubes.

Comparative Studies of Topology Optimization Using Continuous Approximation of Material Distribution (재료분포의 연속적인 근사를 이용한 위상최적설계 방법의 비교 연구)

  • Lim, Young-Seok;Yoo, Jeong-Hoon;Terada, Kenjiro;Nishiwaki, Shin-Ji;Min, Seung-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.2 s.245
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    • pp.164-170
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    • 2006
  • To prevent the numerical instabilities in topology optimization, continuous approximation of material distribution (CAMD) is proposed to the homogenization design method (HDM) and the simple isotropic material with penalization (SIMP) method. The continuous FE approximation of design variables including high order elements is applied to the formulation of SIMP method. Numerical examples are presented to compare the efficiency of CAMD both in HDM and SIMP.