• Title/Summary/Keyword: Unit Structure Matrix

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Evaluation of In-Plane Effective Properties of Circular-Hole Perforated Sheet (원형 다공 평판의 면내 유효 물성치 계산)

  • 정일섭
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.1
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    • pp.181-188
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    • 2004
  • Structural analysis for materials containing regularly spaced in-homogeneities is usually executed by using averaged material properties. For the homogenization process, a unit cell is defined and loaded somehow, and its response is investigated to evaluate the properties. The imposed loading conditions should accord to the behavior of unit cell immersed in the macroscopic structure in order to guarantee the accuracy of the effective properties. Each unit cell shows periodic variation of strain if the material is loaded uniformly, and in this study, direct implementation of this characteristic behavior is attempted on FE models of unit cell. Conventional finite element analysis tool can be used without any modification, and the boundary of unit cell is constrained in a way that the periodicity is satisfied. The proposed method is applicable to skew arrayed in-homogeneity problems. The flexibility matrix relating tonsorial stress and strain components in skewed rectilinear coordinate system is transformed so that the required engineering constants can be evaluated. Effective properties are computed for the materials with square and skew arrayed circular holes, and its accuracy is examined.

THE STRUCTURE OF SEMIPERFECT RINGS

  • Han, Jun-Cheol
    • Journal of the Korean Mathematical Society
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    • v.45 no.2
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    • pp.425-433
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    • 2008
  • Let R be a ring with identity $1_R$ and let U(R) denote the group of all units of R. A ring R is called locally finite if every finite subset in it generates a finite semi group multiplicatively. In this paper, some results are obtained as follows: (1) for any semilocal (hence semiperfect) ring R, U(R) is a finite (resp. locally finite) group if and only if R is a finite (resp. locally finite) ring; U(R) is a locally finite group if and only if U$(M_n(R))$ is a locally finite group where $M_n(R)$ is the full matrix ring of $n{\times}n$ matrices over R for any positive integer n; in addition, if $2=1_R+1_R$ is a unit in R, then U(R) is an abelian group if and only if R is a commutative ring; (2) for any semiperfect ring R, if E(R), the set of all idempotents in R, is commuting, then $R/J\cong\oplus_{i=1}^mD_i$ where each $D_i$ is a division ring for some positive integer m and |E(R)|=$2^m$; in addition, if 2=$1_R+1_R$ is a unit in R, then every idempotent is central.

EFFICIENT IMPLEMENTATION OF GRAYSCALE MORPHOLOGICAL OPERATORS (형태학 필터의 효과적 구현 방안에 관한 연구)

  • 고성제;이경훈
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.10
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    • pp.1861-1871
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    • 1994
  • This paper presents efficient real time software implementation methods for the grayscale morphological composite function processing (FP) system. The proposed method is based on a matrix representation of the composite FP system using a basis matrix composed of structuring elements. We propose a procedure to derive the basis matrix for composite FP systems with any grayscale structuring element (GSE). It is shown that composite FP operations including morphological opening and closing are more efficiently accomplished by a local matrix operation with the basis matrix rather than cascade operations, eliminating delays and requiring less memory storage. In the second part of this paper, a VLSI implementation architecture for grayscale morphological operators is presented. The proposed implementation architecture employs a bit-serial approach which allows grayscale morphological operations to be decomposed into bit-level binary operation unit for the p-bit grayscale singnal. It is shown that this realization is simple and modular structure and thus is suitable for VLSI implementation.

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The Crystal Structure of Tris(ethylenediamine)nickel(II)Chromate, $[Ni(C_2N_2H_8)_3]\cdotCrO_4$ ($[Ni(C_2N_2H_8)_3]\cdotCrO_4$의 결정구조)

  • Kim, Se-Hwan;Kim, Seung-Bin;Nam, Gung-Hae
    • Korean Journal of Crystallography
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    • v.6 no.2
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    • pp.75-79
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    • 1995
  • The crystal structure of Tris(ethylenediamine)nickel(II)Chromate has been determined by X-ray crystallography. Crystal data : a=9.027(2)Å, c=9.751(5)Å이며, Z=2, V=687.9(2)Å3, Dc=1.714gcm-3, μ=21.635-1. The intensity were collected with Mo-Kα radiation (λ=0.7107Å) on an automatic four-circle diffractometer with a graphite monochromator. The structure was solved by Patterson method and refined by full matrix least-square methods using unit weights. The final R and S values were R=0.029, Rw=032, Rall=0.049 andS=0.018 for 342 observed reflections. The chromate ions are located at position of point of point symmetry 32 and their oxygens are sixfold disodered in an unusual way. Extensive strong hydrogen bonds between complex cations and chromatic anions are found in axial and equatorial directions.

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The Crystal and Molecular Structure of Phlorizin Dihydrate

  • Shin, Whan-Chul
    • Bulletin of the Korean Chemical Society
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    • v.6 no.1
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    • pp.7-11
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    • 1985
  • The crystal structure of phlorizin, a ${\beta}$ -D-glucopyranoside of a flavonoid dihydrochalcone phloretin, has been determined by single crystal diffraction methods using diffractometer data obtained by the ${\omega}-2{\theta}$ scan technique with Cu $K{\alpha}$ radiation from a crystal with space group symmetry $P2_12_12_1$ and unit cell parameters a = 4.9094 (2), b = 19.109 (1), c = 23.275 (4) $\AA$. The structure was solved by direct methods and refined by full-matrix least-squares to a final R = 0.047 for the 1697 observed reflections. The dihydrochalcone moiety is flat and fully extended. The glucose ring has the $^4C_1$ chair conformation and the conformation of the primary alcohol group is gauche-gauche. The crystal packing is dominated by an extensive hydrogen bonding pattern. There are one strong and two weak intramolecular hydrogen bonds in the phlorizin molecule.

Crystal Structure of Antiinflammatory Sulindac

  • Koo Chung Hoe;Kim Sang Hern;Shin Wanchul
    • Bulletin of the Korean Chemical Society
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    • v.6 no.4
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    • pp.222-224
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    • 1985
  • The crystal structure of sulindac, $C_{20}H_{17}Fo_3S$, one of the nonsteroid antiinflammatory agents, has been determined by the X-ray diffraction techniques using diffractometer data obtained by the $\varpi-2{\theta}$ scan technique with Cu $$K_{\alpha}$$ radiation from a crystal with space group symmetry Pbca and unit cell parameters a = 8.166(1), b = 18.291(8), c = 23.245(10) ${\AA}.$ The structure was solved by direct methods and refined by full-matrix least-squares to a final R = 0.11 for the 1153 observed reflections. The carboxyl group is nearly perpendicular to the indenyl ring as observed in indomethacin. The dihedral angle between the indenyl and phenyl rings is $35^{\circ}while$ the corresponding angle in indomethacin is $67^{\circ}.$ Crystal packing consists of a hydrogen bond and partial ring stacking between the indenyl rings.

The Crystal and Molecular Structure of Chloramphenicol Base

  • Shin, Whan-Chul;Pyo, Myung_Ho
    • Bulletin of the Korean Chemical Society
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    • v.5 no.4
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    • pp.158-162
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    • 1984
  • The crystal structure of chloramphenicol base, $C_9H_{l2}N_2O_4$, the deacylated base of antibiotic chloramphenicol, has been determined by X-ray diffraction techniques using diffractometer data obtained by the ${\omega}-2{\theta}$ scan technique with CuK${\alpha}$ radiation from a crystal with space group symmetry $P2_12_12_1$ and unit cell parameters a = 22.322(6), b = 7.535(6), c = 5.781(5) ${\AA}$. The structure was solved by direct methods and refined by full-matrix least-squares to a final R = 0.051 for the 573 observed reflections. The overall conformation of the base is quite different from those of the chloramphenicol congeners which are similar despite the presence of many rotatable single bonds. The propane chain in the base is bent with respect to the phenyl ring, while it is extended in the chloramphenicol congeners. There is no intramolecular hydrogen bond between the hydroxyl groups of the propanediol moiety. All of the molecules in the crystal lattice are connected by a three-dimensional hydrogen bonding network.

A Study on the Modeling for Boom Structural Behaviors of the Triaxial Woven Fabric Composite (3-방향 직물 복합재료 모델링 및 붐 구조물의 거동 연구)

  • Seon-Woo, Byun;Ji-Yoon, Yang;Soo-Yong, Lee;Jin-Ho, Roh
    • Journal of Aerospace System Engineering
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    • v.16 no.6
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    • pp.99-105
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    • 2022
  • This paper studied the mechanical characteristics of boom structures by verifying the modeling method of representing unit cells of triaxial woven fabric (TWF) composites. The modeling of the representative unit cell obtained the ABD matrix by analysing the behaviour of tensile, shear, bending, and torsion using the periodic boundary conditions for the beam element. This study aimed to validate the ABD matrix by comparing the tensile analysis output from a finite element program with the experimental results from an MTS 810 machine. Additionally, the mechanical characteristics of a TWF composite boom structure were determined through bending analysis and experiments. The findings of this research are expected to be beneficial for developing structures using TWF composites.

The Crystal Structure of Metoclopramide

  • Shin, Whan-chul;Chang, Tai-Sik;Koo, Chung-Hoe
    • Bulletin of the Korean Chemical Society
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    • v.4 no.3
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    • pp.123-127
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    • 1983
  • The crystal structure of metoclopramide, $C_14H_22ClN_3O_2$, has been determined by X-ray diffraction techniques using diffractometer data obtained by the ${\omega}-2{\theta}$ scan technique with Mo $K\alpha$ radiation from a crystal with space group symmetry $P{\overline{1}}$ and unit cell parameters a = 7.500(1), b = 8.707(2), c = 13.292(2) ${\AA}$; ${\alpha}$ = 101.70(2), ${\beta}$ = 81.20(2), and ${\gamma}$ = $114.90(l)^{\circ}$. The sructure was solved by direct methods and refined by full-matrix least-squares to a final R = 0.055 for the 1524 observed reflections. The bent overall-conformation of the molecule seems to be determined mainly by the bifurcated intramolecular hydrogen bond from the amide nitrogen atom to the methoxy oxygen and the amine nitrogen atoms. The crystal packing consists of the hydrogen bonds, ${\pi}-{\pi}$ interaction and hydrophobic interaction.

The Crystal and Molecular Structure of Niclosamide monohydrate, $C_{13}H_8Cl_2N_2O_4\cdotH_2O$ (Niclosamide monohydrate, $C_{13}H_8Cl_2N_2O_4\cdotH_2O$의 결정 및 분자구조)

  • 김의성;신현소
    • Korean Journal of Crystallography
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    • v.4 no.1
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    • pp.1-5
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    • 1993
  • The crystal structure of N-(2'-chloro-4'-vitrophenyl)-5-chlorosalicylamide( Niclosamide ) monohydrate has been determined from 1976 sig- nificant independent reflections collected on an automated CAD4 diffractometer using graphitemonochromated Mo-Ka radiation. The crystal is monoclinic, space group P211c, with unit cell dimensions, a=11.331 (3), b=16.964(2), c=7.347(4)A , P =98.20(3)° and Z=4 at T=293k. The structure was solved by direct method using seminvariants of ggg Parity group and refined by the full-matrix least-square method, resulting model with reliability factor, R=0.046. The feature of the molecule show planar structure in parallel to the ab crystal plane.

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