• 제목/요약/키워드: complex geometry

검색결과 745건 처리시간 0.032초

ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE

  • Ergut, Mahmut;Yilmaz, Suha;Unluturk, Yasin
    • 호남수학학술지
    • /
    • 제40권1호
    • /
    • pp.47-59
    • /
    • 2018
  • We define the $e^{\alpha}_1e^{\alpha}_3$-isotropic Smarandache curves of type-1 and type-2, the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_3$-isotropic Smarandache curve, and the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_4$-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space $\mathbb{C}^4$ and give some differential geometric properties of these Samarandache curves.

Iron(II) Tris(3-bromo-1,10-phenanthroline) Complex: Synthesis, Crystal Structure and Electropolymerization

  • Lee, Kyeong-Jong;Yoon, Il;Lee, Shim-Sung;Lee, Bu-Yong
    • Bulletin of the Korean Chemical Society
    • /
    • 제23권3호
    • /
    • pp.399-403
    • /
    • 2002
  • The complex of iron(II) tris(3-Br-phen) (3-Br-phen; 3-bromo-1,10-phenanthroline) was prepared as a precursor of electropolymerization and the crystal structure of [Fe(3-Br-phen)3]($PF_6$)2${\cdot}$CH3CN with a distorted octahedral geometry has been investigated. The reductive electropolymerization of $>[Fe(3-Br-phen)3]^{2+}$ complex onto the surface of a glassy carbon electrode and indium tin oxide (ITO) optically transparent electrode were performed in acetonitrile at room temperature. Thin film of poly-$>[Fe(3-Br-phen)3]^{2+}$ formed was adherent, electroactive and stably deposited on a glassy carbon disk electrode. The thin metallopolymeric film formed was also confirmed by absorption spectroscopy.

Di-N-hydroxyethylated Tetraaza 거대고리 Copper(II) 착물 (Copper(II) Complex of a Di-N-hydroxyethylated Tetraaza Macrocycle)

  • 최기영;김용선;류해일;서일환;추금홍
    • 한국결정학회지
    • /
    • 제11권3호
    • /
    • pp.147-150
    • /
    • 2000
  • The complex [CuL}Cl₂·3H₂O(1)(L=2,13-bis(2-hydroxyethyl)-5,16-dimethyl-2,6,13,17-tetraazatricyclo[14,4,0/sup 1.18/,0/sup 7.12/] docosane) has been synthesized and characterized by X-ray crystallography. 1. crystallized in the monoclinic, space group C2/c, with a=21.647(6)Å, b=8.549(1)Å, c=18.132(5)Å, β=118.58(2)°, V=2946.8(12)ų, Z=4, R₁(wR₂) for 2374observed reflections of [I>2σ(I)] was 0.052(0.187). The centrosymmetric complex 1 has an axially elongated octahedral geometry with four secondary and tertially amines of the macrocycle and tow oxygen atoms of the pendant hydroxyethyl groups.

  • PDF

복잡한 형상의 강체 스핀들과 유연축을 고려한 HDD 디스크-스핀들 계의 고유진동 유한요소해석 (Finite Element Analysis of Vibration of HDD Disk-Spindle System with Rigid Complex Spindle and Flexible Shaft)

  • 이상훈;장건희
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2000년도 추계학술대회논문집
    • /
    • pp.784-789
    • /
    • 2000
  • Equations of motion are derived and solved using the finite element method substructure synthesis for the disk-spindle system with rigid spindle and flexible shaft. The disk is modeled as a flexible spinning disk by Kirchhoff plate theory and von Karman nonlinear strain. The spindle supporting the flexible disk is modeled as a rigid body to consider its complex geometry. The stationary shaft supporting the rotating disk-spindle-bearing system is modeled by Euler beam, and the ball bearings are modeled as the stiffness matrix with 5 degrees of freedom. Developed theory is applied to analyze the vibration characteristics of a 3.5" HDD and a 2.5" HDD, respectively, and modal tests are performed to verify the simulation results. This paper shows that the developed theory can be effectively applied to the rotating disk-spindle system with the spindle of complex shape.

  • PDF

Crystal Structure and Thermal Properties of the Lanthanum(Ⅲ) Complex with Triethylenetetraaminehexaacetic Acid: $K_3$[La(TTHA)]· $5H_2O$

  • 김종혁;이석근
    • Bulletin of the Korean Chemical Society
    • /
    • 제20권4호
    • /
    • pp.417-421
    • /
    • 1999
  • The complex, K3[La(TTHA)]5H,O, was prepared and its crystal structure was analyzed by single crystal X-ray diffraction method. In the complex, the La(Ⅲ) ion adopts a ten-coordinate geometry with four nitrogen atoms and six carboxyl oxygen atoms from the same TTHA ligand molecule. Its coordination polyhedron can be described as a distorted bicapped square antiprism. Each [La(TTHA)]3- anion is linked by K+ cations via carboxyl groups of TTHA ligand to form a three dimensional crystal structure. The thermal properties were investigated by TG and DTA techniques in argon atmosphere. The materials resulting from thermal treatment were La(OH)3 and K2O which were identified by powder X-ray diffraction technique.

Mechanistic Studies on the Oxidation of Triphenylphosphine by $[(tpy)(bpy)Ru^{IV}=O]^{2+}$, Structure of the Parent Complex $[(tpy)(bpy)Ru^{II}-OH_2]^{2+}$

  • 석원경;김미영;Yoshinobu Yokomori;Derek J. Hodgson;Thomas J. Meyer
    • Bulletin of the Korean Chemical Society
    • /
    • 제16권7호
    • /
    • pp.619-624
    • /
    • 1995
  • Oxidation of triphenylphosphine to triphenylphosphine oxide by [(tpy)(bpy)Ru(O)]2+ (tpy is 2,2':6',2"-terpyridine and bpy is 2,2'-bipyridine) in CH3CN has been studied. Experiments with the 18O-labeled oxo complex show that transfer of oxygen from [(tpy)(bpy)RuⅣ=O]2+ to triphenylphosphine is quantitative within experimental error. The reaction is first order in each reactant with k (25.3 ℃)=1.25 × 106 M-1s-1. The inital product, [(tpy)(bpy)RuⅡ-OPPh3]2+, is formed as an observable intermediate and undergoes slow k (25 ℃)=6.7 × 10-5 s-1 solvolysis. Activation parameters for the oxidation step are ΔH≠=3.5 kcal/mol and ΔS≠=-23 eu. The geometry at ruthenium in the complex cation, [(tpy)(bpy)RuⅡ(OH2)]2+, is approximately octahedral with the ligating atoms being the three N atoms of the tpy ligand, the two N atoms of the bpy ligand, and the oxygen atom of the aqua ligand. The Ru-O bond length is 2.136(5) Å.

Effect of stacking sequence on thermal stresses in laminated plates with a quasi-square cutout using the complex variable method

  • Chaleshtari, Mohammad H. Bayati;Khoramishad, Hadi
    • Structural Engineering and Mechanics
    • /
    • 제77권2호
    • /
    • pp.245-259
    • /
    • 2021
  • In this research, the influence of the laminate stacking sequence on thermal stress distribution in symmetric composite plates with a quasi-square cutout subjected to uniform heat flux is examined analytically using the complex variable technique. The analytical solution is obtained based on the thermo-elastic theory and the Lekhnitskii's method. Furthermore, by employing a suitable mapping function, the solution of symmetric laminates containing a circular cutout is extended to the quasi-square cutout. The effect of important parameters including the stacking sequence of laminates, the angular position, the bluntness, the aspect ratio of cutout, the flux angle and the composite material are examined on the thermal stress distribution. It is found out that the circular shape for cutout may not necessarily be the optimum geometry for all stacking sequences. The finite element analysis results are used to validate the analytical solution.

유전자 알고리즘을 이용한 GMA 필릿 용접 비드형상 예측에 관한 연구 (A Study on Bead Geometry Prediction the GMA Fillet Welding using Genetic Algorithm)

  • 김영수;김일수;이지혜;정성명;이종표;박민호
    • Journal of Welding and Joining
    • /
    • 제30권6호
    • /
    • pp.126-132
    • /
    • 2012
  • The GMA welding process involves large number of interdependent variables which may affect product quality, productivity and cost effectiveness. The relationships between process parameters for a fillet joint and bead geometry are complex because a number of process parameters are involved. To make the automated GMA welding, a method that predicts bead geometry and accomplishes the desired mechanical properties of the weldment should be developed. The developed method should also cover a wide range of material thicknesses and be applicable for all welding position. For the automatic welding system, the data must be available in the form of mathematical equations. In this study a new intelligent model with genetic algorithm has been proposed to investigate interrelationships between welding parameters and bead geometry for the automated GMA welding process. Through the developed model, the correlation between process parameters and bead geometry obtained from the actual experimental results, predicts that data did not show much of a difference, which means that it is quite suitable for the developed genetic algorithm. Progress to be able to control the process parameters in order to obtain the desired bead shape, as well as the systematic study of the genetic algorithm was developed on the basis of the data obtained through the experiments in this study can be applied. In addition, the developed genetic algorithm has the ability to predict the bead shape of the experimental results with satisfactory accuracy.

필댐의 3차원 기하 효과에 따른 전기비저항 왜곡 효과 분석 (Analysis of distortion effect of resistivity data due to 3D geometry of fill dam)

  • 오석훈;김형수
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 한국지구물리탐사학회 2005년도 공동학술대회 논문집
    • /
    • pp.55-58
    • /
    • 2005
  • CFRD (콘크리트 표면 차수벽형 석괴댐)에서 수행한 전기비저항 탐사 결과, 하부에서 매우 낮은 비저항대가 관측되었다. 일반적으로 CFRD 형식의 댐은 내부 포화가 발생하지 않는 것으로 알려져 있으나, 금번 조사에서 하부 20m 깊이에서 일정하게 저비저항대가 발견되어 이에 대한 검토를 위해 3차원 해석을 수행하였다. 탐사 당시의 수위는 댐 정상부에서 10m 정도 내려가 있는 상태였다. 첫 탐사 이후 6개월이 지난 후에 이루어진 탐사에서도 비슷한 양상을 보이고 있었다. 이에 대한 해석을 위해서 조사 댐의 모양을 대상으로 3차원 순산 모델링을 수행하고, 이에 대한 2차원 역산 해석을 적용하여 기존 해석 방법의 오류 가능성을 검토하였다. 또한 비저항 조사가 많이 적용된 중심코아 형 댐의 경우의 사례와 비교하였다. 해석 결과, 3차원 댐체 구조에 대한 2차원 역산 해석은 저수부의 수위와 밀접한 관련을 갖는 것으로 보이며, 3차원의 사다리꼴 기하구조로 인하여 댐 내부에 비저항의 이상대가 존재할 경우에도 그 민감도가 떨어지는 것으로 분석되었다.

  • PDF

필댐의 3차원 기하 효과에 따른 전기비저항 왜곡 효과 분석 (Analysis of Distortion Effect of Resistivity Data Due to 3D Geometry of Fill Dam)

  • 오석훈;김형수
    • 지구물리
    • /
    • 제8권4호
    • /
    • pp.211-214
    • /
    • 2005
  • CFRD (콘크리트 표면 차수벽형 석괴댐)에서 수행한 전기비저항 탐사 결과, 하부에서 매우 낮은 비저항대가 관측되었다. 일반적으로 CFRD 형식의 댐은 내부 포화가 발생하지 않는 것으로 알려져 있으나, 금번 조사에서 하부 20m 깊이에서 일정하게 저비저항대가 발견되어 이에 대한 검토를 위해 3차원 해석을 수행하였다. 탐사 당시의 수위는 댐 정상부에서 10 m 정도 내려가 있는 상태였다. 첫 탐사 이후 6개월이 지난 후에 이루어진 탐사에서도 비슷한 양상을 보이고 있었다. 이에 대한 해석을 위해서 조사 댐의 모양을 대상으로 3차원 순산 모델링을 수행하고, 이에 대한 2차원 역산 해석을 적용하여 기존 해석 방법의 오류 가능성을 검토하였다. 또한 비저항 조사가 많이 적용된 중심코아형 댐의 경우의 사례와 비교하였다. 해석 결과, 3차원 댐체 구조에 대한 2차원 역산 해석은 저수부의 수위와 밀접한 관련을 갖는 것으로 보이며, 3차원의 사다리꼴 기하구조로 인하여 댐 내부에 비저항의 이상대가 존재할 경우에도 그 민감도가 떨어지는 것으로 분석되었다.

  • PDF