• Title/Summary/Keyword: structure of space

Search Result 6,279, Processing Time 0.037 seconds

Performance Analysis for Mirrors of 30 cm Cryogenic Space Infrared Telescope

  • Park, Kwi-Jong;Moon, Bong-Kon;Lee, Dae-Hee;Jeong, Woong-Seob;Nam, Uk-Won;Park, Young-Sik;Pyo, Jeong-Hyun;Han, Won-Yong
    • Journal of Astronomy and Space Sciences
    • /
    • v.29 no.3
    • /
    • pp.321-328
    • /
    • 2012
  • We have designed a 30 cm cryogenic space infrared telescope for astronomical observation. The telescope is designed to observe in the wavelength range of 0.5~2.1 ${\mu}m$, when it is cooled down to 77 K. The result of the preliminary design of the support structure and support method of the mirror of a 30 cm cryogenic space infrared telescope is shown in this paper. As a Cassegrain prescription, the optical system of a 30 cm cryogenic space infrared telescope has a focal ratio of f/3.1 with a 300 mm primary mirror (M-1) and 113 mm secondary mirror (M-2). The material of the whole structure including mirrors is aluminum alloy (Al6061-T6). Flexures that can withstand random vibration were designed, and it was validated through opto-mechanical analysis that both primary and secondary mirrors, which are assembled in the support structure, meet the requirement of root mean square wavefront error < ${\lambda}/8$ for all gravity direction. Additionally, when the M-1 and flexures are assembled by bolts, the effect of thermal stress occurring from a stainless steel bolt when cooled and bolt torque on the M-1 was analyzed.

COMMUTING STRUCTURE JACOBI OPERATOR FOR SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN COMPLEX SPACE FORMS

  • KI, U-Hang;SONG, Hyunjung
    • East Asian mathematical journal
    • /
    • v.38 no.5
    • /
    • pp.549-581
    • /
    • 2022
  • Let M be a semi-invariant submanifold with almost contact metric structure (𝜙, 𝜉, 𝜂, g) of codimension 3 in a complex space form Mn+1(c), c≠ 0. We denote by S and R𝜉 be the Ricci tensor of M and the structure Jacobi operator in the direction of the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a certain scalar 𝜃(≠ 2c) and any vector fields X and Y on M. In this paper, we prove that M satisfies R𝜉S = SR𝜉 and at the same time R𝜉𝜙 = 𝜙R𝜉, then M is a Hopf hypersurface of type (A) provided that the scalar curvature s of M holds s - 2(n - 1)c ≤ 0.

Submanifolds of Codimension 3 in a Complex Space Form with Commuting Structure Jacobi Operator

  • Ki, U-Hang;Song, Hyunjung
    • Kyungpook Mathematical Journal
    • /
    • v.62 no.1
    • /
    • pp.133-166
    • /
    • 2022
  • Let M be a semi-invariant submanifold with almost contact metric structure (𝜙, 𝜉, 𝜂, g) of codimension 3 in a complex space form Mn+1(c) for c ≠ 0. We denote by S and R𝜉 be the Ricci tensor of M and the structure Jacobi operator in the direction of the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a certain scalar 𝜃 ≠ 2c and any vector fields X and Y on M. In this paper, we prove that if it satisfies R𝜉𝜙 = 𝜙R𝜉 and at the same time S𝜉 = g(S𝜉, 𝜉)𝜉, then M is a real hypersurface in Mn(c) (⊂ Mn+1(c)) provided that $\bar{r}-2(n-1)c{\leq}0$, where $\bar{r}$ denotes the scalar curvature of M.

APPLICATION OF SPACE SYNTAX FOR PARTITION SEQUENCING OF WORKING SPACE IN BUILDING CONSTRUCTION

  • Li-Wen Wu;Sy-Jye Guo
    • International conference on construction engineering and project management
    • /
    • 2007.03a
    • /
    • pp.573-582
    • /
    • 2007
  • Working spaces in the construction site are much more complicated than completed spaces in the building. There are many researches focus on partition of building spaces. However, few discussed partition sequencing in building construction sites. Space syntax is a set of techniques for analyzing spatial configurations. It has become a useful tool in a variety of researches. Partition sequencing of working spaces should be related to the working direction. However, with convex space and axial line, the partition sequencing became unrelated to the working direction. When critical space is blocked, the partition sequencing with axial line will be changed. It is significant to reveal the impact of the entire spatial structure when some of the working spaces are blocked. This paper discussed the improved partition sequencing theory and highlighted the importance of critical space and analyzed the spatial structure of working space. A real case project was demonstrated in this paper.

  • PDF

An Study on the Structure of Maghemite(${\gamma}$-Fe$_2$O$_3$) II -Lattice Energy Computation and Crystal Structure Analysis- (마게마이트(${\gamma}$-Fe$_2$O$_3$)의 구조에 대한 연구II -격자에너지 계산과 결정구조해석-)

  • 신형섭
    • Journal of the Korean Ceramic Society
    • /
    • v.35 no.11
    • /
    • pp.1182-1189
    • /
    • 1998
  • Crystal structure and structural stability of needle-shaped maghemite(${\gamma}$-{{{{ { {Fe }_{2 }O }_{3 } }}) have been studied by the computation and estimation of lattice energies interionic distances and site potentials. The refined struc-tures analyzed with cubic system(space group P4332) and tetragonal system(space group P4332) were used for these computations. The lattice energy of tetragonal system is -143.10eV/molecule. The maghemite structure with tetragonal system is more stable than that with cubic system. The ordering energy of the FE and cation vacancy within the octahedral site the 4b site of the structure with cubic system(space group P4332) is -0.95eV/molecule but this Fe has larger interionic distance and is very unstable.

  • PDF

STRUCTURE JACOBI OPERATOR OF SEMI-INVARINAT SUBMANIFOLDS IN COMPLEX SPACE FORMS

  • KI, U-HANG;KIM, SOO JIN
    • East Asian mathematical journal
    • /
    • v.36 no.3
    • /
    • pp.389-415
    • /
    • 2020
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, ξ, η, g) in a complex space form Mn+1(c), c ≠ 0. We denote by Rξ and R'X be the structure Jacobi operator with respect to the structure vector ξ and be R'X = (∇XR)(·, X)X for any unit vector field X on M, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(≠ 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies Rξ𝜙 = 𝜙Rξ and at the same time R'ξ = 0, then M is a Hopf real hypersurfaces of type (A), provided that the scalar curvature ${\bar{r}}$ of M holds ${\bar{r}}-2(n-1)c{\leq}0$.

Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form

  • Hwang, Tae Yong;Ki, U-Hang;Kurihara, Hiroyuki
    • Kyungpook Mathematical Journal
    • /
    • v.56 no.4
    • /
    • pp.1207-1235
    • /
    • 2016
  • Let M be a real hypersurface with constant mean curvature in a complex space form $M_n(c),c{\neq}0$. In this paper, we prove that if the structure Jacobi operator $R_{\xi}= R({\cdot},{\xi}){\xi}$ with respect to the structure vector field ${\xi}$ is ${\phi}{\nabla}_{\xi}{\xi}$-parallel and $R_{\xi}$ commute with the structure tensor field ${\phi}$, then M is a homogeneous real hypersurface of Type A.

Jacobi Operators with Respect to the Reeb Vector Fields on Real Hypersurfaces in a Nonflat Complex Space Form

  • Ki, U-Hang;Kim, Soo Jin;Kurihara, Hiroyuki
    • Kyungpook Mathematical Journal
    • /
    • v.56 no.2
    • /
    • pp.541-575
    • /
    • 2016
  • Let M be a real hypersurface of a complex space form with almost contact metric structure (${\phi}$, ${\xi}$, ${\eta}$, g). In this paper, we prove that if the structure Jacobi operator $R_{\xi}= R({\cdot},{\xi}){\xi}$ is ${\phi}{\nabla}_{\xi}{\xi}$-parallel and $R_{\xi}$ commute with the structure tensor ${\phi}$, then M is a homogeneous real hypersurface of Type A provided that $TrR_{\xi}$ is constant.

A Study on The Triadic analysis of Korean Traditional Space Design by Peirce's Semiotics (퍼어스 기호학에 의한 한국전통공간디자인의 삼원론적 분석에 관한 연구)

  • Park Kyung-Ae;Hur Bum-Pal
    • Korean Institute of Interior Design Journal
    • /
    • v.14 no.3 s.50
    • /
    • pp.103-113
    • /
    • 2005
  • As today's cultural environment entered the information society, one of the biggest trends of future is the interests of nationalism. The purpose of this study is to interpret interrelation between sign and space design and analyze Korean contemporary space how to universalize traditional conception and attitude in design. The process of this study is illustrated as follows: At first, this study contains basic concepts and theories of semiotics and discusses the possibilities of semiotic approaches in spatial designs. Since the most outspoken theorist in this field can be found in writings of C.S. Peirce, American philosopher, the theoretical basis for this research Is taken from the Peirce's Semiotics. Secondly, this research tries the conceptual approaches based on traditional thoughts of Koreans formed with the philosophic background occurred with the universe, religion and the nature. And then, it approaches for the typical characteristics of Korean traditional space to interpret the meaning and adopt the triadic structure of sign. The structure is classified in status, icon, index, and symbol to analyze the Korean contemporary space design. Finally, it examines the expression structure of the nature of Korea that is succeeded in contemporary space design as the semiotic analysis of the application examples ; and studies the examples that try to set and solve the concept of space in modern society as the real issues in our cultural situations.

A Study on the Degree of Satisfaction and Preference to Space Plan of Supporting Facilities in Department Stores (백화점 지원시설 계획요소에 관한 만족도 및 선호도 연구)

  • Park, Eui-Jeong;Seo, Ji-Eun
    • Korean Institute of Interior Design Journal
    • /
    • v.18 no.6
    • /
    • pp.194-201
    • /
    • 2009
  • The purpose of this study is to develop basic data for the efficient space plan of the Department Store focusing on users by survey of preference to methods of plan considering the functional phase, the economical phase and the adaptable phase. The results are as follows : First, we could know that users had the low degree of satisfaction to the adaptable phase of space plan for Supporting Facilities in department stores at the present time. Second, we must have the appropriate space size by using structure, doors and windows for user's satisfaction. This is the method of plan considering the functional phase for Supporting Facilities. And we could think that the methods of using the center flow plan and the arrangement of two or three facing are good for user's satisfaction. Third, it will be efficient plan if we find methods to be cleaned the structure easily and to be changed and repaired the system furniture easily for management. that methods are to be considered the economical phase for Supporting Facilities. Forth, methods of plan considering the adaptable phase are to change the size of space by using the movable type furniture and the form of space by changing structure.