• Title/Summary/Keyword: Sub-Domain Method

Search Result 282, Processing Time 0.026 seconds

Deformation Analysis of a Metal Mask for the Screen Printing of Micro Bumps (스크린 인쇄용 미세 범프 금속마스크의 변형특성 해석)

  • Lee, K.Y.;Lee, H.J.;Kim, J.B.;Park, K.
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.21 no.3
    • /
    • pp.408-414
    • /
    • 2012
  • Screen printing is a printing method that uses a woven mesh to support an ink-blocking stencil by transferring ink or other printable materials in order to form an image onto a substrate. Recently, the screen printing method has applied to micro-electronic packaging by using solder paste as a printable material. For the screen printing of solder paste, metal masks containing a number of micro-holes are used as a stencil material. The metal mask undergoes deformation when it is installed in the screen printing machine, which results in the deformation of micro-holes. In the present study, finite element (FE) analysis was performed to predict the amount of deformation of a metal mask. For an efficient calculation of the micro-holes of the metal mask, the sub-domain analysis method was applied to perform FE analyses connecting the global domain (the metal mask) and the local domain (micro-holes). The FE analyses were then performed to evaluate the effects of slot designs on the deformation characteristics, from which more uniform and adjustable deformation of the metal mask can be obtained.

ENHANCED SEMI-ANALYTIC METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

  • JANG, BONGSOO;KIM, HYUNJU
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.23 no.4
    • /
    • pp.283-300
    • /
    • 2019
  • In this paper, we propose a new semi-analytic approach based on the generalized Taylor series for solving nonlinear differential equations of fractional order. Assuming the solution is expanded as the generalized Taylor series, the coefficients of the series can be computed by solving the corresponding recursive relation of the coefficients which is generated by the given problem. This method is called the generalized differential transform method(GDTM). In several literatures the standard GDTM was applied in each sub-domain to obtain an accurate approximation. As noticed in [19], however, a direct application of the GDTM in each sub-domain loses a term of memory which causes an inaccurate approximation. In this work, we derive a new recursive relation of the coefficients that reflects an effect of memory. Several illustrative examples are demonstrated to show the effectiveness of the proposed method. It is shown that the proposed method is robust and accurate for solving nonlinear differential equations of fractional order.

Mismatching Refinement with Domain Decomposition and Its Application to the Finite Element Analysis of the Extrusion Process (영역분할에 의한 격자세분화 기법 및 압출공정의 유한요소해석에의 적용)

  • Park, Keun;Yang, Dong-Yol
    • Transactions of Materials Processing
    • /
    • v.8 no.3
    • /
    • pp.284-293
    • /
    • 1999
  • The rigid-plastic finite element analysis requires a large amount of computation time due to its non-linearity. For economic computation, mismatching refinement, and efficient domain decomposition method with different mesh density for each sub domain, is developed. A modified velocity alternating scheme for the interface treatment is proposed in order to obtain good convergence and accuracy. As a numerical example, the axisymmetric extrusion process is analyzed. The results are discussed for the various velocity update schemes form the viewpoint of convergence and accuracy. The three-dimen-sional extrusion process with rectangular section is analyzed in order to verify the effectiveness of the proposed method. Comparing the results with those of the conventional method of full region analysis, the accuracy and the computational efficiency of the proposed method are then discussed.

  • PDF

Preparation and Magnetic Properties of Co-system Amorphous Thin Film by the Sputter method (스파터법에 의한 Co-계 비정질박막의 제작과 자기특성)

  • 임재근;문현욱;서강수;신용진
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 1994.11a
    • /
    • pp.190-191
    • /
    • 1994
  • In this paper, We study on the fabrication of amorphous this film of zeromagnetostriction material and the magnetic properties. This films are fabricated by using sputtering method with input power of 400∼607[W], Ar gas pressure of 3∼ 9[mTorr] and target composition of Fe$\sub$4.7/ Co$\sub$74.3/Si$_2$B$\sub$19/. Sample this films with diameter of 14[mm ] and thickness of 27-30[$\mu\textrm{m}$] were obtained through experiments. When we analyzed the magnetic properties before and after annealing with sample thin films, we confirmed that magnetic domain wall amorphous thin films consisted for Neel magnetic domain wall with the width of about 1[$\mu\textrm{m}$].

Forced vibration of surface foundation on multi-layered half space

  • Chen, Lin
    • Structural Engineering and Mechanics
    • /
    • v.54 no.4
    • /
    • pp.623-648
    • /
    • 2015
  • A numerical approach is presented for the analysis of the forced vibration of a rigid surface foundation with arbitrary shape. In the analysis, the foundation is discretized into a number of sub squaree-lements. The dynamic response within each sub-element is described by the Green's function, which is obtained by the Fourier-Bessel transform and Precise Integration Method (PIM). Incorporating the displacement boundary condition and force equilibrium of the foundation, it obtains a system of linear algebraic equation in terms of the contact forces within each sub-element. Solving the equation leads to the desired dynamic impedance functions of the foundation. Numerical results are obtained for foundation not only with simple geometrical configurations, such as rectangular and circular foundation, but also the case of irregularly shaped foundation. Several comparisons between the proposed approach and other methods are made. Very good agreement is reached. Also, parametric studies are carried out on the dynamic response of foundation. Addressed in this study are the effects of Poisson's ratio, material damping and contact condition of soil-foundation interface. Several conclusions are drawn the significance of the factors.

Study on the Reduced System Based on the Sub-Domain Method (영역분할 기법에 기초한 축소시스템 구축에 관한 연구)

  • Kim, Hyun-Gi;Cho, Maeng-Hyo;Kim, Hyuk;Choi, Hyoung-Gil;Choi, Jae-Rack
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.30 no.9 s.252
    • /
    • pp.1062-1069
    • /
    • 2006
  • Reduction schemes approximate the lower eigenvalues that represent the global behavior of the structures. But, they are not efficient to be applied to large-scaled problems because these schemes require considerable amount of computing time in constructing reduced one from the original large-scaled systems. In addition, the selection of the primary degrees of freedom might be localized to cause the excessive emphasis of the lower mode or lost of the important modes. In the present study, a new reduction method combined with the subdomain method is proposed. For the construction of the final reduced system the system of each domain subdivided into primary, slave and interface degrees of freedom. It is remarkably efficient and accurate comparable to full-scale system. Numerical examples demonstrate that the proposed method saves computational cost effectively and provides a reduced system which predicts accurate eigen-pairs of global system.

A Study on the Pole-Q Reduction of Chebyshev Function Using Trade-off (트레이드 오프를 이용한 Chebyshev 함수의 극점-Q 감소에 관한 연구)

  • 윤창훈;최석우
    • The Journal of the Acoustical Society of Korea
    • /
    • v.19 no.5
    • /
    • pp.79-83
    • /
    • 2000
  • When passband ripple α/sub p/ and stopband attenuation α/sub s/ at the w/sub s/ where the stopband begins are specified in filter design, △α/sub s/ usually exceeds the specification by △α/sub s/ due to the necessity that the order n of the filter function be an integer. In this paper, we apply a trade-off method to remove the excess stopband attenuation △α/sub s/ for reducing the value of pole-Q and improving the characteristics of the Chebyshev filter function. We also apply the trade-off method of pole-Q reduction to the modified Chebyshev function, and then the 4 types of function have been analyzed to compare in frequency and time domain characteristics. The trade-off method reduces the pole-Q which influences the filter characteristics to maximum 49.6% without increase of the order n. Thus implies that they have the improved characteristics such as the reduced passband ripple and flatter delay characteristics as compared Chebyshev filter function before trade-off. And the unit step response shows shorter delay time and settling time in time domain performance.

  • PDF

Transient Elastodynamic Analysis By BEM Using DDM (DDM과 경계요쇼법을 이용한 동탄성 해석)

  • Shin, Dong-Hoon;Owatsiriwong, Adisorn;Park, Han-Gyu;Park, Kyung-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2009.04a
    • /
    • pp.534-535
    • /
    • 2009
  • This paper deals with BEM analysis of transient elastodynamic problems using domain decomposition method and particular integrals. The particular method is used to approximate the acceleration term in the governing equation. The domain decomposition method is examined to consider multi-region problems. The domain of the original problem is subdivided into sub-regions, which are modeled by the particular integral BEM. The iterative coupling employing Schwarz algorithm is used for the successive update of the interface boundary conditions until convergence is achieved. The numerical results, compared with those by ABAQUS, demonstrate the validity of the present formulation.

  • PDF

A STUDY ON A MULTI-LEVEL SUBSTRUCTURING METHOD FOR COMPUTATIONS OF FLUID FLOW (유동계산을 위한 다단계 부분 구조법에 대한 연구)

  • Kim J.W.
    • Journal of computational fluids engineering
    • /
    • v.10 no.2
    • /
    • pp.38-47
    • /
    • 2005
  • Substructuring methods are often used in finite element structural analyses. In this study a multi-level substructuring(MLSS) algorithm is developed and proposed as a possible candidate for finite element fluid solvers. The present algorithm consists of four stages such as a gathering, a condensing, a solving and a scattering stage. At each level, a predetermined number of elements are gathered and condensed to form an element of higher level. At the highest level, each sub-domain consists of only one super-element. Thus, the inversion process of a stiffness matrix associated with internal degrees of freedom of each sub-domain has been replaced by a sequential static condensation of gathered element matrices. The global algebraic system arising from the assembly of each sub-domain matrices is solved using a well-known iterative solver such as the conjugare gradient(CG) or the conjugate gradient squared(CGS) method. A time comparison with CG has been performed on a 2-D Poisson problem. With one domain the computing time by MLSS is comparable with that by CG up to about 260,000 d.o.f. For 263,169 d.o.f using 8 x 8 sub-domains, the time by MLSS is reduced to a value less than $30\%$ of that by CG. The lid-driven cavity problem has been solved for Re = 3200 using the element interpolation degree(Deg.) up to cubic. in this case, preconditioning techniques usually accompanied by iterative solvers are not needed. Finite element formulation for the incompressible flow has been stabilized by a modified residual procedure proposed by Ilinca et al.[9].

Purification, crystallization and X-ray diffraction of heparan sulfate bounded human RAGE

  • Park, Jun bae;Yoo, Youngki;Ong, Belinda Xiang Yu;Kim, Juyeon;Cho, Hyun-Soo
    • Biodesign
    • /
    • v.5 no.3
    • /
    • pp.122-125
    • /
    • 2017
  • Receptor for advanced glycation end products (RAGE) is one of the single transmembrane domain containing receptors and causes various inflammatory diseases including diabetes and atherosclerosis. RAGE extracellular domain has three consecutive IgG-like domains (V-C1-C2 domain) which interact with various soluble ligands including heparan sulfate or HMGB1. Studies have shown that each ligand induces different oligomeric forms of RAGE which results in a ligand-specific signal transduction. The structure of mouse RAGE bound to heparan sulfate has been previously determined but the electron density map of heparan sulfate was too ambiguous that the exact position of heparin sulfate could not be defined. Furthermore, the complex structure of human RAGE and heparin sulfate still remains elusive. Therefore, to determine the structure, human RAGE was overexpressed using bacterial expression system and crystallized using the sitting drop method in the condition of 0.1 M sodium acetate trihydrate pH 4.6, 8 % (w/v) polyethylene glycol 4,000 at 290 K. The crystal diffracted to 3.6 Å resolution and the space group is C121 with unit cell parameters a= 206.04 Å, b= 68.64 Å, c= 98.73 Å, α= 90.00°, β= 90.62°, γ= 90.00°.