• 제목/요약/키워드: Spherical Modeling

검색결과 121건 처리시간 0.027초

형상정보 추출을 통한 비구면 렌즈 설계 및 성형해석에 관한 연구 (Aspherical Lens Design and Injection Mold Analysis Using Extracted Shape Information)

  • 송기혁;김병찬;윤호섭;양지경;김기범;XiaoHo;조명우
    • 소성∙가공
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    • 제24권6호
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    • pp.437-442
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    • 2015
  • The development of polishing technology has enabled the production of injection molds with high quality surfaces and shapes. For products such as mobile phones which require high quality performance the use of plastic materials has many constraints such as shrinkage and deflection. The purpose of the current research is to use reverse engineering in order to find and analyze the data of a selected aspherical lens and then creating a process to design an improved lens. Additionally, the improved lenses are subject to molding analysis. In order to solve this problem, the lens construction program, Zemax, was used to analyze and optimize performance. In the case of optimization, the object was to eliminate spherical aberration and to find good MTF data. The result of the optimization data was similar to the MTF data found from a random lens. Specific resin and analysis conditions were selected and CAD modeling was done to enhance the injection molding analysis.

연속압입시험법을 이용한 소재의 기계적 물성 평가기술 연구 (Development of Evaluation Technology of Mechanical Properties Using Continuous Indentation Method)

  • 이정환;옥명렬;이윤희;안정훈;권동일
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 추계학술대회 논문집 학회본부
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    • pp.703-708
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    • 1997
  • Continuous indentation test is a very powerful method to monitor the materials reliability since it is very simple, easy and almost non-destructive. It can provide material properties such as elastic modulus, yield strength, work-hardening exponent, etc., than the conventional hardness test. In our study, the true stress-strain curve is derived from the indentation load-depth curve. For this, average indentation strain is defined and the flow stress is obtained from the analysis of the indentation stress field. The residual stress is analyzed from the variation of the indentation behavior with the applied residual stress. And the estimation of fracture characteristic is tried by considering the conventional fracture toughness modeling and the stress/strain state under the spherical indenter.

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$\beta$-Shape and $\beta$-Complex for the Structure Analysis of Molecules

  • Seo, Jeong-Yeon;Kim, Dong-Uk;Cho, Young-Song;Ryu, Joong-Hyun;Kim, Deok-Soo
    • International Journal of CAD/CAM
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    • 제7권1호
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    • pp.91-101
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    • 2007
  • To understand the structure of molecules, various computational methodologies have been extensively investigated such as the Voronoi diagram of the centers of atoms in molecule and the power diagram for the weighted points where the weights are related to the radii of the atoms. For a more improved efficiency, constructs like an $\alpha$-shape or a weighted $\alpha$-shape have been developed and used frequently in a systematic analysis of the morphology of molecules. However, it has been recently shown that $\alpha$-shapes and weighted $\alpha$-shapes lack the fidelity to Euclidean distance for molecules with polysized spherical atoms. We present the theory as well as algorithms of $\beta$-shape and $\beta$-complex in $\mathbb{R}^3$ which reflects the size difference among atoms in their full Euclidean metric. We show that these new concepts are more natural for most applications and therefore will have a significant impact on applications based on particles, in particular in molecular biology. The theory will be equivalently useful for other application areas such as computer graphics, geometric modeling, chemistry, physics, and material science.

RE-ACCELERATION OF FOSSIL ELECTRONS BY SHOCKS ENCOUNTERING HOT BUBBLES IN THE OUTSKIRTS OF GALAXY CLUSTERS

  • Kang, Hyesung
    • 천문학회지
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    • 제51권6호
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    • pp.185-195
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    • 2018
  • Galaxy clusters are known to host many active galaxies (AGNs) with radio jets, which could expand to form radio bubbles with relativistic electrons in the intracluster medium (ICM). It has been suggested that fossil relativistic electrons contained in remnant bubbles from extinct radio galaxies can be re-accelerated to radio-emitting energies by merger-driven shocks via diffusive shock acceleration (DSA), leading to the birth of radio relics detected in clusters. In this study we assume that such bubble consist primarily of thermal gas entrained from the surrounding medium and dynamically-insignificant amounts of relativistic electrons. We also consider several realistic models for magnetic fields in the cluster outskirts, including the ICM field that scales with the gas density as $B_{ICM}{\infty}n^{0.5}_{ICM}$. Then we perform time-dependent DSA simulations of a spherical shock that runs into a lower-density but higher-temperature bubble with the ratio $n_b/n_{ICM}{\approx}T_{ICM}/T_b{\approx}0.5$. We find that inside the bubble the shock speed increases by about 20 %, but the Mach number decreases by about 15% in the case under consideration. In this re-acceleration model, the observed properties of a radio relic such as radio flux, spectral index, and integrated spectrum would be governed mainly by the presence of seed relativistic electrons and the magnetic field profile as well as shock dynamics. Thus it is crucial to understand how fossil electrons are deposited by AGNs in the ICM and how the downstream magnetic field evolves behind the shock in detailed modeling of radio relics.

Dynamic stability and structural improvement of vibrating electrically curved composite screen subjected to spherical impactor: Finite element and analytical methods

  • Xiao, Caiyuan;Zhang, Guiju
    • Steel and Composite Structures
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    • 제43권5호
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    • pp.533-552
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    • 2022
  • The current article deals with the dynamic stability, and structural improvement of vibrating electrically curved screen on the viscoelastic substrate. By considering optimum value for radius curvature of the electrically curved screen, the structure improvement of the system occurs. For modeling the electrically system, the Maxwell's' equation is developed. Hertz contact model in employed to obtain contact forces between impactor and structure. Moreover, variational methods and nonlinear von Kármán model are used to derive boundary conditions (BCs) and nonlinear governing equations of the vibrating electrically curved screen. Galerkin and Multiple scales solution approach are coupled to solve the nonlinear set of governing equations of the vibrating electrically curved screen. Along with the analytical solution, 3D finite element simulation via ABAQUS package is provided with the aid of a FE package for simulating the current system's response. The results are categorized in 3 different sections. First, effects of geometrical and material parameters on the vibrational performance and stability of the curves panel. Second, physical properties of the impactor are taken in to account and their effect on the absorbed energy and velocity profile of the impactor are presented. Finally, effect of the radius and initial velocity on the mode shapes of the current structure is demonstrated.

GPS, Galileo, QZSS를 이용한 지역 전리층 모델링 (Regional Ionosphere Modeling using GPS, Galileo, and QZSS)

  • 최병규;손동효;홍준석;정종균
    • Journal of Positioning, Navigation, and Timing
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    • 제13권2호
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    • pp.159-165
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    • 2024
  • The Global Navigation Satellite System (GNSS) has been used as a tool to accurately extract the Total Electron Content (TEC) in the ionosphere. The multi-GNSS (GPS, GLONASS, BeiDou, Galileo, and QZSS) constellations bring new opportunities for ionospheric research. In this study, we develop a regional ionospheric TEC model using GPS, Galileo, and QZSS measurements. To develop an ionospheric model covering the Asia-Oceania region, we select 13 International GNSS Service (IGS) stations. The ionospheric model applies the spherical harmonic expansion method and has a spatial resolution of 2.5°×2.5° and a temporal resolution of one hour. GPS TEC, Galileo TEC, and QZSS TEC are investigated from January 1 to January 31, 2024. Different TEC values are in good agreement with each other. In addition, we compare the QZSS(J07) TEC and the Center for Orbit Determination in Europe (CODE) Global Ionosphere Map (GIM) TEC. The results show that the QZSS TEC estimated in the study coincides closely with the CODE GIM TEC.

A novel method for solving structural problems: Elastoplastic analysis of a pressurized thick heterogeneous sphere

  • Abbas Heydari
    • Advances in Computational Design
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    • 제9권1호
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    • pp.39-52
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    • 2024
  • If the governing differential equation arising from engineering problems is treated as an analytic, continuous and derivable function, it can be expanded by one point as a series of finite numbers. For the function to be zero for each value of its domain, the coefficients of each term of the same power must be zero. This results in a recursive relationship which, after applying the natural conditions or the boundary conditions, makes it possible to obtain the values of the derivatives of the function with acceptable accuracy. The elastoplastic analysis of an inhomogeneous thick sphere of metallic materials with linear variation of the modulus of elasticity, yield stress and Poisson's ratio as a function of radius subjected to internal pressure is presented. The Beltrami-Michell equation is established by combining equilibrium, compatibility and constitutive equations. Assuming axisymmetric conditions, the spherical coordinate parameters can be used as principal stress axes. Since there is no analytical solution, the natural boundary conditions are applied and the governing equations are solved using a proposed new method. The maximum effective stress of the von Mises yield criterion occurs at the inner surface; therefore, the negative sign of the linear yield stress gradation parameter should be considered to calculate the optimal yield pressure. The numerical examples are performed and the plots of the numerical results are presented. The validation of the numerical results is observed by modeling the elastoplastic heterogeneous thick sphere as a pressurized multilayer composite reservoir in Abaqus software. The subroutine USDFLD was additionally written to model the continuous gradation of the material.

전해질 수용액에서 L-Alanine의 활동도계수와 용해도의 측정 및 모델링 (Measurements and Modeling of the Activity Coefficients and Solubilities of L-alanine in Aqueous Electrolyte Solutions)

  • 이봉섭;김기창
    • Korean Chemical Engineering Research
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    • 제48권4호
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    • pp.519-533
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    • 2010
  • 본 연구에서는 L-형 아미노산인 L-Alanine과 무기염인 NaCl, KCl, $NaNO_3$$KNO_3$의 각 전해질로 이루어진 L-Alanine/전해질 수용액 계에서 L-Alanine의 활동도계수와 용해도를 298.15 K에서 측정하였다. L-Alanine의 활동도계수는 양이온 및 음이온의 선택성 전극으로 이루어진 화학전지에서 두 전극간의 기전력을 측정하는 전기화학 법으로 측정하였으며, 용해도는 L-Alanine의 고체상과 상평형을 이루고 있는 포화용액을 중량 분석하여 측정하였다. 한편 본 연구에서는 아미노산(L-Alanine)/전해질 수용액 계의 잔류(residual) Helmholtz 자유에너지를 섭동사슬-통계역학적 회합성유체이론(perturbed chain-statistical associating fluid theory)과 단순-평균구근사(primitive-mean spherical approximation)이론을 결합한 관계로 모델링 하였으며, 이로부터 아미노산의 활동도계수 및 용해도에 대한 열역학적 관계식을 얻었다. Helmholtz 자유에너지를 모델링 하는 과정에서는 아미노산은 양쪽성 이온(zwitterion) 형태로 존재하며 아미노산의 양쪽성 이온은 같은 이온끼리 자기-회합(self-association)하며 동시에 물분자와 교차-회합(cross-association)하는 회합체로 가정하였으며, 또한 아미노산의 양쪽성 이온이 전해질(무기염)로부터 해리된 양이온 및 음이온과 상호작용하여 이온복합체(ion complex)를 형성하는 과정을 회합현상으로 가정하였다. 본 연구에서 제안된 이론적 모델로부터 L-Alanine/전해질 수용액 계에서 계산되는 L-Alanine의 활동도계수 및 용해도 값은 본 연구의 실험값과 일치하는 경향을 보였다.

Computational Analysis of Tumor Angiogenesis Patterns Using a Growing Brain Tumor Model

  • Shim, Eun-Bo;Kwon, Young-Keun;Ko, Hyung-Jong
    • International Journal of Vascular Biomedical Engineering
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    • 제2권1호
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    • pp.17-24
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    • 2004
  • Tumor angiogenesis was simulated using a two-dimensional computational model. The equation that governed angiogenesis comprised a tumor angiogenesis factor (TAF) conservation equation in time and space, which was solved numerically using the Galerkin finite element method. The time derivative in the equation was approximated by a forward Euler scheme. A stochastic process model was used to simulate vessel formation and vessel elongation towards a paracrine site, i.e., tumor-secreted basic fibroblast growth factor (bFGF). In this study, we assumed a two-dimensional model that represented a thin (1.0 mm) slice of the tumor. The growth of the tumor over time was modeled according to the dynamic value of bFGF secreted within the tumor. The data used for the model were based on a previously reported model of a brain tumor in which four distinct stages (namely multicellular spherical, first detectable lesion, diagnosis, and death of the virtual patient) were modeled. In our study, computation was not continued beyond the 'diagnosis' time point to avoid the computational complexity of analyzing numerous vascular branches. The numerical solutions revealed that no bFGF remained within the region in which vessels developed, owing to the uptake of bFGF by endothelial cells. Consequently, a sharp, declining gradient of bFGF existed near the surface of the tumor. The vascular architecture developed numerous branches close to the tumor surface (the brush-border effect). Asymmetrical tumor growth was associated with a greater degree of branching at the tumor surface.

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Design of Crisscrossed Double-Layer Birdcage Coil for Improving B1+ Field Homogeneity for Small-Animal Magnetic Resonance Imaging at 300 MHz

  • Seo, Jeung-Hoon;Han, Sang-Doc;Kim, Kyoung-Nam
    • Journal of Magnetics
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    • 제20권3호
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    • pp.308-311
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    • 2015
  • We design a crisscrossed double-layer birdcage (DLBC) coil by modifying the coil geometry of a standard single-layer BC (SLBC) coil to enhance the homogeneity of transmitting magnetic flux density ($B_1{^+}$) along the main magnetic field ($B_0$)-direction for small-animal magnetic resonance imaging (MRI) at 300 MHz. The performance assessment of the crisscrossed DLBC coil is conducted by computational analysis with the finite-difference time domain method (FDTD) and compared with SLBC coil in terms of the $B_1$ and the $B_1{^+}$ distribution. As per the computational calculation studies, the mean value in the two-dimensional $B_1{^+}$ map obtained at the mid-axial slice with the proposed DLBC coil is slightly lower than that obtained with the SLBC coil, but the $B_1{^+}$ value of the DLBC coil in the outermost plane (40 mm away from the central plane) shows improvements of 19.3% and 24.8% over the SLBC coil $B_1{^+}$ value when simulating a spherical phantom and realistic mouse body modeling. These simulation results indicate that, the $B_1{^+}$ homogeneity along the z-direction was improved by using DLBC configuration. Our approach enables $B_1{^+}$ homogeneity improvement along the zdirection, and it can also be applied to ultra-high field (UHF) MRI systems.