• Journal of the Korean Mathematical Society
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• v.55 no.1
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• pp.29-42
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• 2018

We construct bounded linear integral operators that giving solutions to the ${\bar{\partial}}$-equation in $L^p$-spaces and with compact supports on a q-convex intersection ($q{\geq}1$) with ${\mathcal{C}}^3$ boundary in $K{\ddot{a}}hler$ manifolds, and we apply it to obtain a Hartogs-like extension theorems for ${\bar{\partial}}$-closed forms for some bidegree.

• Bulletin of the Korean Mathematical Society
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• v.56 no.6
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• pp.1423-1433
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• 2019

Here we present the right and left Riemann-Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time. Then we establish a Riemann-Liouville fractional Polya type integral inequality with the help of generalised right and left Riemann-Liouville fractional derivatives. The amazing fact here is that we do not need any boundary conditions as the classical Polya integral inequality requires. We extend our Polya inequality to Choquet integral setting.

• Bulletin of the Society of Naval Architects of Korea
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• v.13 no.2
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• pp.1-12
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• 1976

Linearized motions of as axisymmetrical dock freely floating in a regular plane wave are discussed. An extension of the Bessho variational principle(Bessho[3]) is derived to obtain a numerical procedure for a solution of the boundary value problem associated with the fluid motion. The added mass and the damping coefficients for a circular dock in vertical(heave) and horizontal(surge) oscillations are evaluated numerically, and the resulte seems to be satisfactory.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.25 no.6
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• pp.559-567
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• 2012

A level set based topological shape optimization method for nonlinear structure considering hyper-elastic problems is developed. To relieve significant convergence difficulty in topology optimization of nonlinear structure due to inaccurate tangent stiffness which comes from material penalization of whole domain, explicit boundary for exact tangent stiffness is used by taking advantage of level set function for arbitrary boundary shape. For given arbitrary boundary which is represented by level set function, a Delaunay triangulation scheme is used for current structure discretization instead of using implicit fixed grid. The required velocity field in the actual domain to update the level set equation is determined from the descent direction of Lagrangian derived from optimality conditions. The velocity field outside the actual domain is determined through a velocity extension scheme based on the method suggested by Adalsteinsson and Sethian(1999). The topological derivatives are incorporated into the level set based framework to enable to create holes whenever and wherever necessary during the optimization.

• Journal of architectural history
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• v.13 no.3
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• pp.51-67
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• 2004

The purpose of this study is to bring light on the characteristics of the transition in the Ddeulzip. The subject of this study is clan village of Pungsan Kim's family in Andong Cultural Area. Architectural transition of Ddeulzip is analyzed into three part. The first part is settlement of family. In this process, there is a background and many types of settlement. The second part is the extension of family. The extensional types are 'near-by branch' and 'far-away branch'. The last part is variation of housing. Spacial requests of residence are changed endlessly. Thus the spacial types of Ddeulzip are changed by the construction time of building. In many case, we couldn't decide the building period. The genealogy of Chosun Dynasty is the base of family history. In this study, the construction activity of Ddeulzip is based on the genealogy. The phylogenetic tree of Ddeulzip in clan village is constructed by the genealogy. The figures of the type of bunch of grapes is made by phylogenetic tree based on the genealogy. Omi Village in Andong was settled at first in the 15C. The cause of settlement is the aim of escape from political oppression. For long time, Omi Village is developed gradually. There area is divided in some small family boundary. There spacial types are contained the characteristics of many times. Orock Village in Bonghwa is settled for search of best environment in the last of 17C. At that time, a lot of families of same clan are gathered in that village. For short time, Orock Village is enlarged quickly. Thus there spacial type is similar each other. But boundary of entire space of outdoor is constructed clearly by pavilion area, housing area and sanctuary area.

• Ocean and Polar Research
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• v.24 no.3
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• pp.179-187
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• 2002

The Ayu Trough, located in the southern end of the Philippine Sea, represents a divergent boundary between the Philippine Sea and the Caroline Plates. A detailed geophysical survey was carried out in the Ayu Trough by R/V Onnuri. Topographically, the Ayu Trough resembles an slow spreading ridge. The trough can be divided into three sections: the south $(0^{\circ}-1^{\circ}30'N),\;middle\;(1^{\circ}30'-4^{\circ}N)$, and north $(4^{\circ}-6^{\circ}30'N)$. The seafloor in the middle section is characterized by features asymmetric with respect to the axis. These features were probably produced by NW-SE and NNW-SSE extensions and seem to support the argument that the opening of the Ayu Trough occurred in an oblique fashion. Farther south, a long transform fault but with a short offset defines the boundary between middle and southern sections. The axial depth increases a stepwise to the south of $1^{\circ}30'N$. A clear difference can be seen between the southern and middle sections with the latter exhibiting much higher mantle Bouguer anomaly values in the axial region. The anomaly indicates that the axial crust perhaps experienced a much higher degree of extension in the middle than in the southern section. The analyses of magnetic field data reveal that the region beyond 100km exhibits considerable variations, whereas the magnetic anomalies within 100km from the trough axis are very much subdued. This observation suggests that the opening of the Ayu Trough involved an initial stage of rifting of existing volcanic arcs, followed by production of new seafloor.

• 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.

• Steel and Composite Structures
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• v.31 no.3
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• pp.261-276
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• 2019

The study investigates the free vibration of a nano-scale sandwich beam by an extended high order approach, which has not been reported in the existing literature. First-order shear deformation theory for steel skins and so-called high-order sandwich panel theory for the core are applied. Next, the modified couple stress theory is used for both skins and cores. The Hamilton principle is utilized for deriving equations and corresponding boundary conditions. First, in the study the three-mode shapes natural frequencies for various material parameters are investigated. Also, obtained results are evaluated for two types of stiff and soft cores and isotropic, homogenous steel skins. In the research since the governing equations and also the boundary conditions are nonhomogeneous, therefore some closed-form solutions are not applicable. So, to obtain natural frequencies, the boundary conditions are converted to initial conditions called the shooting method as the numerical one. This method is one of the most robust approaches to solve complex equations and boundary conditions. Moreover, three types of simply supported on both sides of the beam (S-S), simply on one side and clamp supported on the other one (S-C) and clamped supported on both sides (C-C) are scrutinized. The parametric study is followed to evaluate the effect of nano-size scale, geometrical configurations for skins, core and material property change for cores as well. Results show that natural frequencies increase by an increase in skins thickness and core Young modulus and a decrease in beam length, core thickness as well. Furthermore, differences between obtained frequencies for soft and stiff cores increase in higher mode shapes; while, the more differences are evaluated for the stiff one.

• Economic and Environmental Geology
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• v.27 no.1
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• pp.65-80
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• 1994

The Tertiary $Ch{\check{o}}ngja$ basin is located in the southeastern coastal area of the Korean Peninsula. It is a lozenge shaped fault-bounded basin with circa $5{\times}5km$ areal extent, isolated from other Tertiary basins by the Cretaceous Ulsan Formation in-between. The northwestern boundary of the basin is a domino/listric type normal fault trending $N30^{\circ}E$, whereas its southwestern boundary is a dextral strike-slip fault (trending $N20^{\circ}W$) with a lateral offset of more than 1 km. The basin is bounded by the East Sea on the eastern margin. Basin-fills consist of extrusive volcanic rock (Tangsa Andesites) of Early Miocene (16~22 Ma in radiometric age), unconsolidated fluviatile conglomerate (Kangdong Formation) and shallow brackish-water sandstone ($Sinhy{\check{o}}n$ Formation). The latter yields abundant Vicarya-Anadara molluscan fossils of early Middle Miocene age. The Tertiary strata become younger toward the northwestern boundary-fault of the basin, showing a zonal distribution pattern parallel to the fault: the younger sedimentary formations occupy a narrow zone of 2 km width along the northwestern boundary-fault, whereas the older Tangsa Andesites underlie them unconformably in the eastern and southeastern portions of the basin. The strata in the basin, including the Tangsa Andesites, are tilted (about $20^{\circ}$) toward the northwestern boundary-fault Sedimentary strata thicken toward the boundary-fault, forming a wedge shaped half-graben structure. A number of small-scale syndepositional normal growth faults and graben structures are observed in the sedimentary strata. These extensional structures have the same trend as the normal northwestern boundary-fault which we interpret as a pull-apart detachment fault. These characteristics imply persistent extension during the basin evolution, caused by a NW-SE directed tensional force. The $Ch{\check{o}}ngja$ basin is, thus, a kind of syndepositional tectonic basin evolved in a strike-slip (pull-apart) regime. The latter was caused by a dextral simple shear associated with the NNW-SSE opening of the East Sea. In view of the fact that the normal growth faults do not cut through the uppermost portion of the youngest $Sinhy{\check{o}}n$ Formation, it is inferred that the tensional force came to be inactive in the early Middle Miocene. This is coincident in timing with the termination of the East Sea opening (15 Ma).

• Structural Engineering and Mechanics
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• v.42 no.2
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• pp.191-210
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• 2012

The Force Density Method (FDM) is a well known and extremely versatile tool in form finding of cable nets. In its linear formulation such method makes it possible to find all the possible equilibrium configurations of a net of cables having a certain given connectivity and given boundary conditions on the nodes. Each singular configuration corresponds to an assumed force density distribution. Its improvement as Non-Linear Force Density Method (NLFDM) introduces the possibility of imposing assigned relative distances among the nodes, the tensile level in the elements and/or their initial undeformed length. In this paper an Extended Force Density Method (EFDM) is proposed, which makes it possible to set conditions in terms of given fixed nodal reactions or, in other words, to fix the positions of a certain number of nodes and, at the same time, to impose the intensity of the reaction force. Through such extension, the (EFDM) enables us to deal with form findings problems of cable nets subjected to given constraints and, in particular, with mixed structures, made of cables and struts. The efficiency and the robustness of method are assessed through comparisons with other form finding techniques in dealing with characteristic applications to the prestress design of cable systems. As a further extension, the EFDM is applied to structures having some parts not yet geometrically defined, as can happen in designing new creative forms.