• Title/Summary/Keyword: Boundary of Space

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1D finite element artificial boundary method for layered half space site response from obliquely incident earthquake

  • Zhao, Mi;Yin, Houquan;Du, Xiuli;Liu, Jingbo;Liang, Lingyu
    • Earthquakes and Structures
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    • v.9 no.1
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    • pp.173-194
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    • 2015
  • Site response analysis is an important topic in earthquake engineering. A time-domain numerical method called as one-dimensional (1D) finite element artificial boundary method is proposed to simulate the homogeneous plane elastic wave propagation in a layered half space subjected to the obliquely incident plane body wave. In this method, an exact artificial boundary condition combining the absorbing boundary condition with the inputting boundary condition is developed to model the wave absorption and input effects of the truncated half space under layer system. The spatially two-dimensional (2D) problem consisting of the layer system with the artificial boundary condition is transformed equivalently into a 1D one along the vertical direction according to Snell's law. The resulting 1D problem is solved by the finite element method with a new explicit time integration algorithm. The 1D finite element artificial boundary method is verified by analyzing two engineering sites in time domain and by comparing with the frequency-domain transfer matrix method with fast Fourier transform.

The study on the characteristics of Hyang-Dan focused on the boundary structure (경계구조로 본 향단에 관한 연구)

  • Bang, Moon-Jung;Lee, Chan
    • Korean Institute of Interior Design Journal
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    • v.18 no.6
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    • pp.176-183
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    • 2009
  • This study was intended to define the spatial concept of the boundary structure of the architectural space as well as evaluate the Hyangdan which well represents the features of Korean traditional building in such a way of reviewing the building structure of Korean traditional residential space. The boundary is categorized into visible boundary and invisible boundary which was also functionally classified into the features of isolating, passing, mediating and overlapping. The major elements comprising the boundary structure was analyzed by the characteristic of the pattern so as to define them as the concept of surrounding, duality, hierarchism, continuity and overlapping. Based on such concepts, a boundary structural characteristics of Hyangdan were reevaluated and outlined as follows. The surrounding feature was seen through the outer side of the structure surrounded, two courtyards and eaves, and a duality showing both the closure of main house and openness of detached house was seen through the characteristics of surrounding structure. And the continuous activities toward the inner room and the empty space to link them in a systematic way and repeatedly aligned rooms reveal the overlapping as continuous and transitional space. And finally, an elevated stylobate demonstrates the hierarchical features of the structure.

Free vibration analysis of FGP nanobeams with classical and non-classical boundary conditions using State-space approach

  • Tlidji, Youcef;Benferhat, Rabia;Daouadji, Tahar Hassaine;Tounsi, Abdelouahed;Trinh, L.Cong
    • Advances in nano research
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    • v.13 no.5
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    • pp.453-463
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    • 2022
  • This paper aims to investigate the vibration analysis of functionally graded porous (FGP) beams using State-space approach with several classical and non-classical boundary conditions. The materials properties of the porous FG beams are considered to have even and uneven distributions profiles along the thickness direction. The equation of motion for FGP beams with various boundary conditions is obtained through Hamilton's principle. State-space approach is used to obtain the governing equation of porous FG beam. The comparison of the results of this study with those in the literature validates the present analysis. The effects of span-to-depth ratio (L/h), of distribution shape of porosity and others parameters on the dynamic behavior of the beams are described. The results show that the boundary conditions, the geometry of the beams and the distribution shape of porosity affect the fundamental frequencies of the beams.

Infinite element for the scaled boundary analysis of initial valued non-homogeneous elastic half space (초기치를 갖는 비동질무한영역의 해석을 위한 비례경계무한요소법)

  • Lee, Gye-Hee;Deeks, Andrew J.
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.259-264
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    • 2007
  • In this paper, to analyze the initial valued non-homogeneous elastic half space by the scaled boundary analysis, the infinite element approach was introduced. The free surface of the initial valued non-homogeneous elastic half space was mode1ed as a circumferential direction of boundary scaled boundary coordinate. The infinite element was used to represent the infinite length of the free surface. The initial value of material property(elastic modulus) was considered by the combination of the position of the sealing center and the power function of the radial direction. By use of the mapping type infinite element, the consistent e1ements formulation could be available. The performance and the feasibility of proposed approach are examined by two numerical examples.

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A Treatment for Truncated Boundary in a Half-Space with 2-D Rayleigh Wave BEM

  • Ju, Tae-Ho;Cho, Youn-Ho;Phan, Haidang;Achenbach, Jan D.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.6
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    • pp.650-655
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    • 2011
  • Analysis of two-dimensional Rayleigh wave scattering pattern by a surface defect is studied through modified boundary element method. BEM proposed in this paper has special treatment at each end of boundary which should have the Rayleigh wave go away without any generation of virtual reflections. It is shown that treatment for truncated boundary which is used to model two-dimensional Rayleigh waves' behavior in an elastic half-space is successfully implemented. To check numerical results' accuracy, time domain IFFT signal of the displacements is presented. Improvement on getting rid of unwanted influence of truncated boundary induced by 2-D Rayleigh waves on a flat surface of an elastic half-infinite medium is shown. As a final goal, the numerical results of Rayleigh wave scattering trend are plotted and they are compared with theoretical curves to prove its accuracy.

PENALIZED NAVIER-STOKES EQUATIONS WITH INHOMOGENEOUS BOUNDARY CONDITIONS

  • Kim, Hongchul
    • Korean Journal of Mathematics
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    • v.4 no.2
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    • pp.179-193
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    • 1996
  • This paper is concerned with the penalized stationary incompressible Navier-Stokes system with the inhomogeneous Dirichlet boundary condition on the part of the boundary. By taking a generalized velocity space on which the homogeneous essential boundary condition is imposed and corresponding trace space on the boundary, we pose the system to the weak form which the stress force is involved. We show the existence and convergence of the penalized system in the regular branch by extending the div-stability condition.

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FATOU THEOREMS OLD AND NEW: AN OVERVIEW OF THE BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS

  • Krantz, Steven G.
    • Journal of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.139-175
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    • 2000
  • We consider the boundary behavior of a Hardy class holomorphic function, either on the disk D in the complex plane or on a domain in multi-dimensional complex space. Although the two theories are formally different, we postulate some unifying fearures, and we suggest some future directions for research.

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Opening and Closure Body Space Expressed in the Fashion Art

  • Huh Jung-Sun;Geum Key-Sook
    • International Journal of Costume and Fashion
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    • v.5 no.1
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    • pp.14-25
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    • 2005
  • The objective of this study is to understand bodily extension and identity in contemporary fashion art through the analysis of 'the fashion acting on the body' among the fashion theory excluding body and the conspicuous works on the opening and covering images as a fashion art as a body-space'. This study also investigated identity problems where there are poles apart in opening and closure their bodies and body-space in which its clothing types were distorted by being de-bodilization out of the traditional and ideological expression method in contemporary fashion art from a opening and closure point of view. Image of opening and closure among body-space in fashion art can be classified into opposing structure of opening and closure. Destroying the boundary between bodily opening and closure for a primary function of clothing and dismantling the role and boundary between body and clothing, opening body-space in appearance as a reemergence of body image or the border between inner and outer are being ambiguous because of transparent material. Being representative work of this study opening body-space was expressed as an opening space image using transparency. On the contrary, closure body-space was isolated from external environment and confined in the certain space, which could limit or restraint body- action. Excluding boundary of body and clothing on the whole or in part, boundary of work becomes body-space. However, these were appeared to be a work inducing unlimited curiosity and meaning from the audience. The interpretation of artistic and body-space in fashion art are indicating the role and function of the fashion art exceeding the suggestible dimensions in the every day life of fashion. The body-space of fashion art showing similar aspect of body art today could be understood that it is substituted into an metaphorical, critical space by seeing it as a symbol system connected with social space. Therefore, contemporary fashion art should be interpreted as an equivocal space looking at the body-space with open mind.

LERAY-SCHAUDER DEGREE THEORY APPLIED TO THE PERTURBED PARABOLIC PROBLEM

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.17 no.2
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    • pp.219-231
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    • 2009
  • We show the existence of at least four solutions for the perturbed parabolic equation with Dirichlet boundary condition and periodic condition when the nonlinear part cross two eigenvalues of the eigenvalue problem of the Laplace operator with boundary condition. We obtain this result by using the Leray-Schauder degree theory, the finite dimensional reduction method and the geometry of the mapping. The main point is that we restrict ourselves to the real Hilbert space instead of the complex space.

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Compressional MHD wave transport in the boundary region between cold and hot plasmas

  • Park, Seong-Kook;Lee, Dong-Hun;Kim, Ki-hong
    • Bulletin of the Korean Space Science Society
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    • 2003.10a
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    • pp.40-40
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    • 2003
  • When the magnetotail is disturbed by an impulsive input such as the substorm onset, compressional magnetohydrodynamic (MHD) waves play an important role in delivering perturbed energy and exciting various wave modes and currents. The plasmasheet, in which relatively hot plasmas exist, is surrounded by relatively cold plasmas at the plasma sheet boundary layer (PSBL) and the equatorial plasmasphere. Since the Alfven speed significantly varies near these regions, the compressional waves are expected to undergo mode conversion by inhomogeneity at the boundary between cold and hot plasma regions. We investigate how the initial compressional MHD wave energy is reflected, transmitted, and absorbed across that boundary by adopting the invariant imbedding method (IIM) which gives the exact reflection, transmission, and absorption coefficients without any theoretical approximations for given frequencies and wave numbers. The IIM method is very useful in quantifying the reflection and transmission of compressional waves in the sense that we can calculate how much fast mode wave energy is delievered into shear Alfven waves or field-aligned currents. Our results show that strongly localized absorption occurs at the boundary region. This feature suggests that localized field-aligned currents can be impulsively excited at such boundary regions by any compressional disturbances, which is highly associated with impulsive auroral brightening at the substorm onset. We compare our results with previous studies in cold inhomogeneous plasmas.

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