• 한국공간구조학회논문집
• /
• 제2권4호
• /
• pp.45-52
• /
• 2002

Research about spherical shells been applying most usually is achieved by many investigators already and generalized equation has been derived. But, existent research is limited in case that spherical shell's roof rigidity is isotropy or orthotropy, and research that consider periodicity of rigidity-distribution that can happen by doing spherical shell's roof system by lattice system is not gone entirely. The purpose of this paper is applying Galerkin method to spherical shell that model periodicity of roof rigidity distribution that appear by roof lattice form of large space structure and develop structural analysis program that formularize. Rigidity-model of this research selects that of spherical shell which has 2-way grid. In this paper, buckling-strength and deformation distribution of isotopic spherical shell and 2-way grid spherical shell obtained by developed program could confirm the reliability by comparison with result of existent research.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 1997년도 추계학술대회 논문집 학회본부
• /
• pp.158-160
• /
• 1997

WHEN IT IS REQUIRED TO CONNECT OVERHEAD TRANSMISSION LINE WITH UNDERGROUND CABLE, PREVALENT METHOD WAS TO USE CABLE HEAD TYPICALLY MADE OF LATTICE STEEL STRUCTURE. BUT IN VIEW OF THE INCREASING DEMAND THAT STEEL STRUCTURE INSTALLED IN URBAN AREA AND/OR RESIDENTIAL AREA NEED TO MATCH WITH ENVIRONMENTAL SURROUNDINGS, THE UNSHAPELY LARGE-SIZED LATTICE STEEL STRUCTURE CAN NOT BE A PROPER ONE BECAUSE THAT IT IS NOT WELCOMED BY THE RESIDENTS AND ACCORDINGLY ITS INSTALLATION TENDS TO CONFRONT WITH CIVIL PETITION. AS AN ALTERNATIVE METHOD TO SETTLE AFOREMENTIONED UNFAVOURABLE SITUATION WE MAY BE UNDER, WE AR INTENDING TO DEVELOP THE CABLE HEAD MADE OF TAPERED TUBULAR STEEL POLE AND TO PUT IT TO PRACTICAL USE. THE ADVANTAGE WE CAN TAKE OF THE TAPERED TUBULAR STEEL POLE IS THAT IT CAN BE INSTALLED IN A VERY LIMITED SPACE MAXIMIZING THE UTILITY VALUE OF THE LAND AND THAT ITS SMART SHAPE WITH COLOUR COATING IN CONSIDERATION OF AESTHETIC AESTHETIC CAN BE IN GOOD HARMONY WITH THE SURROUNDINGS.

• Journal of applied mathematics & informatics
• /
• 제32권3_4호
• /
• pp.441-446
• /
• 2014

In this paper the following is proved: Let $\mathcal{L}$ be a subspace lattice on a Hilbert space $\mathcal{H}$ and X and Y be operators acting on $\mathcal{H}$. Then there exists a compact operator A in $Alg\mathcal{L}$ such that AX = Y if and only if ${\sup}\{\frac{{\parallel}E^{\perp}Yf{\parallel}}{{\parallel}E^{\perp}Xf{\parallel}}\;:\;f{\in}\mathcal{H},\;E{\in}\mathcal{L}\}$ = K < ${\infty}$ and Y is compact. Moreover, if the necessary condition holds, then we may choose an operator A such that AX = Y and ${\parallel}A{\parallel}=K$.

• 한국콘텐츠학회:학술대회논문집
• /
• 한국콘텐츠학회 2017년도 춘계 종합학술대회 논문집
• /
• pp.431-432
• /
• 2017

고전 논리의 연산이 집합의 연산과 밀접하게 관련되어 있는 것과 같이 양자논리(quantum logic)는 힐버트 공간(Hilbert space)의 닫힌부분공간(closed subspace)의 연산과 관련되어 있다. 닫힌부분공간들의 집합은 직교모듈로 격자(orthomodular lattice)를 이루고, von Neumann과 Birkhoff를 포함하여 많은 수학자들은 양자논리의 수학적 체계를 만들기 위해 직교모듈로 격자를 이용하였다. 일반 격자(lattice)에서 논리적 함의(implication)는 $x{\rightarrow}y={\neg}x{\vee}y$에 의해 일의적으로 정의되지만 직교모듈로 격자에서는 6개의 서로 다른 논리적 함의가 정의되는 것으로 알려져 있다. 본 논문에서는 직교모듈로 격자에서 정의되는 3개의 논리적 함의를 소개하고 이들 사이의 관계를 조사한다.

• 한국가구학회지
• /
• 제15권1호
• /
• pp.53-61
• /
• 2004

German Baroque and Rococo styles in furniture design show three types because of political and geographical conditions - Northern style from Holland and England, Middle one from France, Southern one from Italy, The German's Baroque style, however, emphasized in practicality and metamorphosed form and material using the motive of plant trunk, flame pattern, and Akanthus leaf. Furniture of German Rococo surrounding space, and chairs two-dimensional curved lines than flower, ribbon, and lattice. style was designed form and color becomingly with were displayed decorations of more pictorial and structural forms, using the pattern of palm tree leaf, clam, flower, ribbon, and lattice.

• 한국전산구조공학회:학술대회논문집
• /
• 한국전산구조공학회 1998년도 가을 학술발표회 논문집
• /
• pp.283-289
• /
• 1998

In the latticed domes which is a set of space frame, buckling is derived if the external force reaches a limitation by the lightness of the material and the minimization of the member section area. these are concerned with a geometric shape, network pattern, the number of layer, and so on. Most of all, the number of layer of the lattice dome is a important factor from the viewpoint of initial and structure design. Therefore this study compared buckling characteristics of single-layer with double-layer latticed domes and investigated the relativity of buckling-stress-ratio and member-density-ratio according to rise ratio to improve that designers could extend the range of .design selection

• 충청수학회지
• /
• 제26권1호
• /
• pp.53-69
• /
• 2013

Topology may described a pattern of existence of elements of a given set X. The family ${\tau}(X)$ of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice ${\tau}(X)$ using a topology on X and regard ${\tau}(X)$ a topological space. A topology ${\tau}$ on X can be regarded a map from X to ${\tau}(X)$ naturally. Such a map will be called topology field. Similarly we can also define pe-topology field. If X is a topological flow group with acting group T, then naturally we can get a another topological flow ${\tau}(X)$ with same acting group T. If the topological flow X is minimal, we can prove ${\tau}(X)$ is also minimal. The disjoint unions of the topological spaces can describe some topological systems (topological organisms). Here we will give a definition of topological organism. Our purpose of this study is to describe some properties concerning patterns of relationship between topology fields and topological organisms.

• 대한수학회지
• /
• 제56권1호
• /
• pp.197-224
• /
• 2019

Let A be a $JB^*$-triple with Banach dual space $A^*$ and bi-dual the $JBW^*$-triple $A^{**}$. Elements x of $A^*$ of norm one may be regarded as normalised 'Q-measures' defined on the complete ortho-lattice ${\tilde{\mathcal{U}}}(A^{**})$ of tripotents in $A^{**}$. A Q-measure x possesses a support e(x) in ${\tilde{\mathcal{U}}}(A^{**})$ and a compact support $e_c(x)$ in the complete atomic lattice ${\tilde{\mathcal{U}}}_c(A)$ of elements of ${\tilde{\mathcal{U}}}(A^{**})$ compact relative to A. Necessary and sufficient conditions for an element v of ${\tilde{\mathcal{U}}}_c(A)$ to be a compact support tripotent $e_c(x)$ are given, one of which is related to the Q-covering numbers of v by families of elements of ${\tilde{\mathcal{U}}}_c(A)$.

• 공업화학
• /
• 제33권6호
• /
• pp.653-660
• /
• 2022

In liquid hydrogen storage tanks, tank damage or leakage in the surrounding pipes possess a major risk. Since these tanks store huge amounts of the fluid among all the liquid hydrogen process facilities, there is a high risk of leakage-related accidents. Therefore, in this study, we conducted a risk assessment of liquid hydrogen leakage for a grid-type liquid hydrogen storage tank (lattice-type pressure vessel (LPV): 18 m³) that overcame the low space efficiency of the existing pressure vessel shape. Through a commercially developed three-dimensional computational fluid dynamics program, the geometry of the site, where the liquid hydrogen storage tank will be installed, was obtained and simulations of the leakage scenarios for each situation were performed. From the computational flow analysis results, the pool formation behavior in the event of liquid hydrogen leakage was identified, and the resulting damage range was predicted.

• 한국실내디자인학회논문집
• /
• 제14권1호
• /
• pp.37-44
• /
• 2005

Currently, the space design has been expressed the space in kinetic design by digital technology. To look into the concept of digital design, there is the tendency to pursue the harmony of the nature. The digital space designer, Greg Lynn who has been paid attention by international researchers. To compared with the reputation of his works, the information about him has been limited to us. The purpose of this study was to investigate the Greg Lynn's digital design matrix toward the design process in his representative 11 works in his website; www.glform.com. The contents analyses methods were used in this study. Greg Lynn's internet website survey was carried out in the respects of thinking method, space formative language and animate form. The major results of this study are as follows: \circled1 Lynn's design concept and digital methodology were affected by Paolo Soleri and Peter Eisenman: natural architectural concept and digital animate form \circled2 Lynn's space formative languages were 10 items; blob, blob, fold, strand, shred, flower, skin, teeth, branch and lattice \circled3 Lynn's digital design matrix was divided into 3 types; MS(Mass + Structure), PC(Path + Circulation) and FD(Form + Detail) \circled4 According to the analysis of longitudinal, his works have been changed from the MS and PC to FD. This research will be a basic reference to understand digital space design.