• 제목/요약/키워드: Differential Geometry

검색결과 189건 처리시간 0.022초

Multiepoch Optical Images of IRC+10216 Tell about the Central Star and the Adjacent Environment

  • Kim, Hyosun;Lee, Ho-Gyu;Ohyama, Youichi;Kim, Ji Hoon;Scicluna, Peter;Chu, You-Hua;Mauron, Nicolas;Ueta, Toshiya
    • 천문학회보
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    • 제46권2호
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    • pp.36.1-37
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    • 2021
  • Six images of IRC+10216 taken by the Hubble Space Telescope at three epochs in 2001, 2011, and 2016 are compared in the rest frame of the central carbon star. An accurate astrometry has been achieved with the help of Gaia Data Release 2. The positions of the carbon star in the individual epochs are determined using its known proper motion, defining the rest frame of the star. In 2016, a local brightness peak with compact and red nature is detected at the stellar position. A comparison of the color maps between 2016 and 2011 epochs reveals that the reddest spot moved along with the star, suggesting a possibility of its being the dusty material surrounding the carbon star. Relatively red, ambient region is distributed in an Ω shape and well corresponds to the dusty disk previously suggested based on near-infrared polarization observations. In a larger scale, differential proper motion of multiple ring-like pattern in the rest frame of the star is used to derive the average expansion velocity of transverse wind components, resulting in ~12.5 km s-1 (d/123 pc), where d is the distance to IRC+10216. Three dimensional geometry is implied from its comparison with the line-of-sight wind velocity determined from half-widths of submillimeter emission line profiles of abundant molecules. Uneven temporal variations in brightness for different searchlight beams and anisotropic distribution of extended halo are revisited in the context of the stellar light illumination through a porous envelope with postulated longer-term variations for a period of 10 years.

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On the wave propagations of football game ball after contacting with the player foot

  • Lei Sun;Cancan Wei;Fei Liu;Lijun Wang;Bo Ren
    • Geomechanics and Engineering
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    • 재33권6호
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    • pp.529-542
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    • 2023
  • Wave propagation with high transverse deflection could affect the stability of the ball in its trajectory. For low stiffness balls similar to soccer and volleyball balls, the waves are more noticeable in comparison to other balls like ping-pong ball. On the other hand, the soccer balls are under heavy impact loads from shoots and contacting different objects in the field. The maximum recorded speed of a soccer ball after kicking is the 211 km/hr and the average maximum speed is around 112 km/hr. Therefore, in such speeds the aerodynamic forces become important which are directly related to geometrical shape of the ball. In this regard, the wave propagation in soccer ball is examined in the current study using large deformation shear deformable formulations. Classical relations of stress-strain components are taken into consideration along with minimum total energy principle. The final derived relations were solved by using harmonic differential quadrature method. The results are generally presented ion term of phase velocity as function of different influencing parameters of the materials, geometry and mass of the ball.

Frequency analysis of liquid sloshing in prolate spheroidal containers and comparison with aerospace spherical and cylindrical tanks

  • Mohammad Mahdi Mohammadi;Hojat Taei;Hamid Moosazadeh;Mohammad Sadeghi
    • Advances in aircraft and spacecraft science
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    • 제10권5호
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    • pp.439-455
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    • 2023
  • Free surface fluid oscillation in prolate spheroidal tanks has been investigated analytically in this study. This paper aims is to investigate the sloshing frequencies in spheroidal prolate tanks and compare them with conventional cylindrical and spherical containers to select the best tank geometry for use in space launch vehicles in which the volume of fuel is very high. Based on this, the analytical method (Fourier series expansion) and potential fluid theory in the spheroidal coordinate system are used to extract and analyze the governing differential equations of motion. Then, according to different aspect ratios and other parameters such as filling levels, the fluid sloshing frequencies in the spheroidal prolate tank are determined and evaluated based on various parameters. The natural frequencies obtained for a particular tank are compared with other literature and show a good agreement with these results. In addition, spheroidal prolate tank frequencies have been compared with sloshing frequencies in cylindrical and spherical containers in different modes. Results show that when the prolate spheroidal tank is nearly full and in the worst case when the tank is half full and the free fluid surface is the highest, the prolate spheroidal natural frequencies are higher than of spherical and cylindrical tanks. Therefore, the use of spheroidal tanks in heavy space launch vehicles, in addition to the optimal use of placement space, significantly reduces the destructive effects of sloshing.

원전 증기발생기 전열관 와전류검사용 보빈코일의 권선 수 변화에 대한 전기적 특성 연구 (A Study on Electrical Characteristics for Coil Winding Number Changes of Eddy Current Bobbin Coil for Steam Generator Tubes in NPPs)

  • 남민우;김철기
    • 비파괴검사학회지
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    • 제32권1호
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    • pp.64-70
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    • 2012
  • 국내 원자력발전소 증기발생기 전열관의 건전성을 평가하기 위해서 수행되는 와전류검사의 탐촉자는 주로 두가지 종류가 사용한다. 첫 번째 와전류탐촉자는 마모와 같은 체적성 결함을 검사하기 위해 사용되는 보빈탐촉자이다. 두 번째 와전류탐촉자는 균열과 같은 비체적성 결함을 검사하기 위한 회전형 탐촉자이다. 와전류탐촉자는 검사 계통의 핵심적인 부분으로서 특정 절차서에 따라 평가가 이루어질 때 대상 시험체의 합부를 결정하는 자료를 제공하게 된다. 또한, 수집된 와전류신호의 품질은 사용되는 탐촉자의 설계특성, 기하학적 형태, 운전주파수에 따라 결정되고, 검사 결과에 미치는 영향이 크기 때문에 와전류검사 탐촉자의 선정은 특히 중요하다. 본 연구에서는 차동형 보빈탐촉자의 코일 권선 수의 변화가 탐촉자의 전기적 특성에 미치는 영향을 분석하였다. 이 결과를 이용하여 원전 증기발생기 전열관 와전류검사 보빈탐촉자를 설계하였다. 연구 결과 코일 권선 수의 변화는 전열관 형상 및 재질에 따른 검사주파수 선정에 크게 영향이 미침을 알 수 있다. 따라서 본 연구 결과를 통하여 원전 증기발생기 전열관 와전류검사 보빈탐촉자의 설계시 더욱 정밀한 코일 권선 수 설정에 토대를 구축하였다.

초기 처짐을 갖는 Spherical Shell의 동적 특성에 관한 연구(II) - 초기 처짐에 따른 동적 특성 - (Dynamic Characteristics Analysis of Spherical Shell with Initial Deflection(II) - Effects of Initial Deflection -)

  • 조진구
    • 한국농공학회지
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    • 제40권5호
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    • pp.91-99
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    • 1998
  • The widespread use of thin shell structures has created a need for a systematic method of analysis which can adequately account for arbitrary geometric form and boundary conditions as well as arbitrary general type of loading. Therefore, the stress and analysis of thin shell has been one of the more challenging areas of structural mechanics. A wide variety of numerical methods have been applied to the governing differential equations for spherical and cylindrical structures with a few results applicable to practice. The analysis of axisymmetric spherical shell is almost an every day occurrence in many industrial applications. A reliable and accurate finite element analysis procedure for such structures was needed. Dynamic loading of structures often causes excursions of stresses well into the inelastic range and the influence of geometry changes on the response is also significant in many cases. Therefore both material and geometric nonlinear effects should be considered. In general, the shell structures designed according to quasi-static analysis may fail under conditions of dynamic loading. For a more realistic prediction on the load carrying capacity of these shell, in addition to the dynamic effect, consideration should also include other factors such as nonlinearities in both material and geometry since these factors, in different manner, may also affect the magnitude of this capacity. The objective of this paper is to demonstrate the dynamic characteristics of spherical shell. For these purposes, the spherical shell subjected to uniformly distributed step load was analyzed for its large displacements elasto-viscoplastic static and dynamic response. Geometrically nonlinear behaviour is taken into account using a Total Lagrangian formulation and the material behaviour is assumed to elasto-viscoplastic model highly corresponding to the real behaviour of the material. The results for the dynamic characteristics of spherical shell in the cases under various conditions of base-radius/central height(a/H) and thickness/shell radius(t/R) were summarized as follows : The dynamic characteristics with a/H. 1) AS the a/H increases, the amplitude of displacement in creased. 2) The values of displacement dynamic magnification factor (DMF) were ranges from 2.9 to 6.3 in the crown of shell and the values of factor in the mid-point of shell were ranged from 1.8 to 2.6. 3) As the a/H increases, the values of DMF in the crown of shell is decreased rapidly but the values of DMF in mid-point shell is increased gradually. 4) The values of DMF of hoop-stresses were range from 3.6 to 6.8 in the crown of shell and the values of factor in the mid-point of shell were ranged from 2.3 to 2.6, and the values of DMF of stress were larger than that of displacement. The dynamic characteristics with t/R. 5) With the thickness of shell decreases, the amplitude of the displacement and the period increased. 6) The values of DMF of the displacement were ranged from 2.8 to 3.6 in the crown of shell and the values of factor in the mid-point of shell were ranged from 2.1 to 2.2.

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One-Pot Reaction Involving Two Different Amines and Formaldehyde Leading to the Formation of Poly(Macrocyclic) Cu(II) Complexes

  • Lee, Yun-Taek;Kang, Shin-Geol
    • Bulletin of the Korean Chemical Society
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    • 제33권8호
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    • pp.2517-2522
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    • 2012
  • New polynuclear poly(hexaaza macrocyclic) copper(II) complexes $[1](ClO_4)_{2n}{\cdot}(H_2O)_{2n}$, $[2](ClO_4)_{2n}{\cdot}(H_2O)_{2n}$, and $[3](ClO_4)_{2n}{\cdot}(H_2O)_{2n}$ have been prepared by the one-pot reaction of formaldehyde with ethylenediamine and 1,2-bis(2-aminoethoxy)ethane, 1,3-diaminopropane, or 1,6-diaminohexane in the presence of the metal ion. The polymer complexes contain fully saturated 14-membered hexaaza macrocyclic units (1,3,6,8,10,13-hexaazacyclotetradecane) that are linked by $N-(CH_2)_2-O-(CH_2)_2-O-(CH_2)_2-N$, $N-(CH_2)_3-N$, or $N-(CH_2)_6-N$ chains. The mononuclear complex $[Cu(H_2L^5)](ClO_4)_4$ ($H_2L^5$ = a protonated form of $L^5$) bearing two $N-(CH_2)_2-O-(CH_2)_2-O-(CH_2)_2-NH_2$ pendant arms has also been prepared by the metal-directed reaction of ethylenediamine, 1,2-bis(2-aminoethoxy)ethane, and formaldehyde. The polymer complexes were characterized employing elemental analyses, FT-IR and electronic absorption spectra, molar conductance, X-ray diffraction (XRD), thermogravimetric analysis (TGA), differential scanning calorimetry (DSC), and scanning electron micrograph (SEM). Electronic absorption spectra of the complexes show that each macrocyclic unit of them has square-planar coordination geometry with a 5-6-5-6 chelate ring sequence. The polymer complexes as well as $[Cu(H_2L^5)]^{4+}$ are quite stable even in concentrated $HClO_4$ solutions. Synthesis and characterization of the polynuclear and mononuclear copper(II) complexes are reported.

축대칭 함몰지형 위를 진행하는 파의 변형에 관한 완경사 방정식의 해석 해 (Analytic Solution to Mild Slope Equation for Transformation of Waves Propagating over an Axi-symmetric Pit)

  • 정태화;서경덕
    • 한국해안해양공학회지
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    • 제18권4호
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    • pp.308-320
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    • 2006
  • 축대칭 함몰지형 위를 진행하는 파에 관한 완경사 방정식의 해석 해를 유도하였다. 함몰지형 내부에서의 수심은 함몰지형 중심으로부터의 거리의 덕에 비례하여 변한다. 변수 분리법을 사용하여 지배 방정식을 상미분 방정식으로 전환하였으며, Hunt(1979)의 근사식을 사용하여 방정식의 계수들을 양함수의 형태로 변환하였다. 마지막으로 Frobenius 급수를 사용하여 해석 해를 유도하였다. Hunt 근사식의 특성 상 본 연구에서 유도된 해석 해는 천해와 심해에서는 정확하고 중간수심에서는 덜 정확하다. 해석 해의 타당성을 검토하기 위하여 수치 모델 결과와 비교하였다. 또한 해석 해를 이용하여 함몰지형의 형상과 상대수심 등을 변화시키면서 다양한 조건에 대한 파랑 변형을 검토하였다.

S밴드 이중편파레이더의 부분 빔 차폐영역 내 반사도 보정을 통한 지상강우추정 개선 (Improved Rainfall Estimation Based on Corrected Radar Reflectivity in Partial Beam Blockage Area of S-band Dual-Polarization Radar)

  • 이정은;정성화;김해림;이선기
    • 대기
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    • 제27권4호
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    • pp.467-481
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    • 2017
  • A correction method of reflectivity in partial beam blockage (PBB) area is suggested, which is based on the combination of digital terrain information and self-consistency principle between polarimetric observation. First, the reflectivity was corrected by adding the radar energy loss estimated from beam blockage simulation using digital elevation model (DEM) and beam propagation geometry in standard atmosphere. The additional energy loss by unexpected obstacles and non-standard beam propagation was estimated by using the coefficient between accumulated reflectivity ($Z_H$) and differences of differential phase shift (${\Phi}_{DP}$) along radial direction. The proposed method was applied to operational S-band dual-polarization radar at Jindo and its performance was compared with those of simulation method and self-consistency method for six rainfall cases. When the accumulated reflectivity and increment of ${\Phi}_{DP}$ along radial direction are too small, the self-consistency method has failed to correct the reflectivity while the combined method has corrected the reflectivity bias reasonably. The correction based on beam simulation showed the underestimation. For evaluation of rainfall estimation, the FBs (FRMSEs) of simulation method and self-consistency principle were -0.32 (0.59) and -0.30 (0.57), respectively. The proposed method showed the lowest FB (-0.24) and FRMSE (0.50). The FB and FMSE were improved by about 18% and by 19% in comparison to those before correction (-0.42 and 0.70). We can conclude that the proposed method can improve the accuracy of rainfall estimation in PBB area.

Numerical Evaluations of the Effect of Feature Maps on Content-Adaptive Finite Element Mesh Generation

  • Lee, W.H.;Kim, T.S.;Cho, M.H.;Lee, S.Y.
    • 대한의용생체공학회:의공학회지
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    • 제28권1호
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    • pp.8-16
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    • 2007
  • Finite element analysis (FEA) is an effective means for the analysis of bioelectromagnetism. It has been successfully applied to various problems over conventional methods such as boundary element analysis and finite difference analysis. However, its utilization has been limited due to the overwhelming computational load despite of its analytical power. We have previously developed a novel mesh generation scheme that produces FE meshes that are content-adaptive to given MR images. MRI content-adaptive FE meshes (cMeshes) represent the electrically conducting domain more effectively with far less number of nodes and elements, thus lessen the computational load. In general, the cMesh generation is affected by the quality of feature maps derived from MRI. In this study, we have tested various feature maps created based on the improved differential geometry measures for more effective cMesh head models. As performance indices, correlation coefficient (CC), root mean squared error (RMSE), relative error (RE), and the quality of cMesh triangle elements are used. The results show that there is a significant variation according to the characteristics of specific feature maps on cMesh generation, and offer additional choices of feature maps to yield more effective and efficient generation of cMeshes. We believe that cMeshes with specific and improved feature map generation schemes should be useful in the FEA of bioelectromagnetic problems.

Characterization of railway substructure using a hybrid cone penetrometer

  • Byun, Yong-Hoon;Hong, Won-Taek;Lee, Jong-Sub
    • Smart Structures and Systems
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    • 제15권4호
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    • pp.1085-1101
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    • 2015
  • Changes in substructure conditions, such as ballast fouling and subgrade settlement may cause the railway quality deterioration, including the differential geometry of the rails. The objective of this study is to develop and apply a hybrid cone penetrometer (HCP) to characterize the railway substructure. The HCP consists of an outer rod and an inner mini cone, which can dynamically and statically penetrate the ballast and the subgrade, respectively. An accelerometer and four strain gauges are installed at the head of the outer rod and four strain gauges are attached at the tip of the inner mini cone. In the ballast, the outer rod provides a dynamic cone penetration index (DCPI) and the corrected DCPI (CDCPI) with the energy transferred into the rod head. Then, the inner mini cone is pushed to estimate the strength of the subgrade from the cone tip resistance. Laboratory application tests are performed on the specimen, which is prepared with gravel and sandy soil. In addition, the HCP is applied in the field and compared with the standard dynamic cone penetration test. The results from the laboratory and the field tests show that the cone tip resistance is inversely proportional to the CDCPI. Furthermore, in the subgrade, the HCP produces a high-resolution profile of the cone tip resistance and a profile of the CDCPI in the ballast. This study suggests that the dynamic and static penetration tests using the HCP may be useful for characterizing the railway substructure.