• 소음진동
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• 제8권5호
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• pp.949-956
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• 1998

Complex and large lattice type structures are frequently used in design of bridge, tower, crane and aerospace structures. In general, in order to analyze these structures we have used the finite element method(FEM). This method is the most widely used and powerful method for structural analysis lately. However, it is necessary to use a large amount of computer memory and computational time because the FEM requires many degrees of freedom for solving dynamic problems exactly for these complex and large structures. For analyzing these structures on a personal computer, the authors developed the transfer stiffness coefficient method(TSCM). This method is based on the concept of the transfer of the nodal dynamic stiffness coefficient matrix which is related to force and displacement vector at each node. And we suggested TSCM for free vibration analysis of complex and large lattice type structures in the previous report. In this paper, we formulate forced vibration analysis algorithm for complex and large lattice type structures using extened TSCM. And we confirmed the validity of TSCM through computational results by the FEM and TSCM, and experimental results for lattice type structures with harmonic excitation.

• 한국터널지하공간학회 논문집
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• 제21권6호
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• pp.897-908
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• 2019

본 연구의 목적은 수치해석을 수행하여 고성능 격자지보재(BK-Lattice Girder)의 현장 지지성능을 평가하기 위한 것이다. 고속도로 2차로, 3차로와 4차로 터널 단면에 3가지 형태(50, 70, 95 타입)의 기존 및 고성능 격자지보재를 적용하여 지지성능을 비교하였다. 수치해석은 유한요소방법을 사용하였고 격자지보재는 탄소성 프레임으로 3차원으로 모델링하였다. 지반은 압축만을 받는 스프링으로 모델링하였다. 하중은 터널 단면의 중앙 천정부에 집중하중으로 적용하였다. 수치해석 결과로부터 격자지보재의 항복강도를 결정하여 지지성능을 비교하였다. 50타입의 경우, 고성능 격자지보재는 기존 격자지보재보다 항복강도가 6.7~10.0% 증가하였다. 70타입의 경우, 고성능 격자지보재는 기존 격자지보재보다 항복강도가 12.1~14.9% 증가하였다. 95타입의 경우에도, 고성능 격자지보재는 기존 격자지보재보다 항복강도가 13.3~20.0% 증가하였다. 수치해석을 수행한 결과, 격자지보재만 시공된 경우에 고성능 격자지보재는 기존 격자지보재보다 지지성능이 우수한 것으로 판단되었다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제14권3호
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• pp.167-189
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• 2007

In this paper we define a topology (analogous to Chang-type fuzzy topology) and a fuzzy topology (analogous to $H\"{o}hle-type$ fuzzy topology) associated with a lattice and study some of their properties.

• 대한수학회보
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• 제38권1호
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• pp.191-195
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• 2001

In this paper, a simple axiom system of lattice implication algebras is presented, it is convenient for verifying whether an algebra of type (2,2,2,1,0,0) becomes a lattice implication algebra.

• 소음진동
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• 제8권2호
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• pp.361-368
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• 1998

Complex and large lattice type structures are frequently used in design of bridge, tower, crane and aerospace structures. In general, in order to analyze these structures we have used the finite element method(FEM). This method is the most widely used and powerful tool for structural analysis. However, it is necessary to use a large amount of computer memory and computation time because the FEM resuires many degrees of freedom for solving dynamic problems exactly for these complex and large structures. For overcoming this problem, the authors developed the transfer stiffness coefficient method(TSCM). This method is based on the concept of the transfer of the nodal dynamic stiffness coefficient which is related to force and displacement vector at each node. In this paper, the authors formulate vibration analysis algorithm for a complex and large lattice type structure using the transfer of the nodal dynamic stiffness coefficient. And we confirmed the validity of TSCM through numerical computational and experimental results for a lattice type structure.

• 한국정보과학회논문지:시스템및이론
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• 제29권2호
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• pp.94-104
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• 2002

과학적 시각화인 한 분야인 등치선도 자동생성 알고리즘은 주로 규칙적인 삭가형 격자 위에서 정의된 자료에 대해서 연구를 진행되어 왔다. 하지만 기상자료 관측과 같은 실제 자료 추출 상황에서 모든 격자에서 자료를 얻는 것이 불가능하다. 자료 추출장비, 방법의 특성상 모든 격자에서 자료 값을 얻을수없다. 자료가 추출되지 않는 모든 격자에서 필요한 자료 값을 구하기 위하여 추출된 자료에 적당한 보간 법을 적용하여 근사값을 할당한다. 본 논문에서는격자형 자료를 사용하지 않고 비격자형 자료를 사용해서 등치선도를 자동으로 생성하는 알고리즘을 제안하였다. 거리가 중보간법을 이용하여 전처리된 사각형 격자형 자룔를 사용하는대신 비격자형 자료를 직접사용하여 삼각형 자료 연결으로 정의하였다. 제안된 알고리즘은 격자형 자료 연결에 근거한 등치선도를 작성한다. 이 알고리즘은 숙련된 기상도 제작자가 기상도를 작성하는 원칙에 근거를 두고 있다. 새롭게 제안된 알고리즘은 전통적이 알고리즘에 비해서 다음과 같은 장점을 갖고 있다.제안된 알고리즘은 전처리 과정에서 추출된 자료를 보간 할 필요 없이 추출된 자료만으로 등치선도를 작성한다. 그리고 격자에 보간법이 적용되었을때 발생하는 자료의 왜곡이 없다.

• Journal of Periodontal and Implant Science
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• 제52권4호
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• pp.338-350
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• 2022

Purpose: Various studies have investigated 3-dimensional (3D)-printed implants using Ti6Al-4V powder; however, multi-root 3D-printed implants have not been fully investigated. The purpose of this study was to explore the stability of multirooted 3D-printed implants with lattice and solid structures. The secondary outcomes were comparisons between the 2 types of 3D-printed implants in micro-computed tomographic and histological analyses. Methods: Lattice- and solid-type 3D-printed implants for the left and right mandibular third premolars in beagle dogs were fabricated. Four implants in each group were placed immediately following tooth extraction. Implant stability measurement and periapical X-rays were performed every 2 weeks for 12 weeks. Peri-implant bone volume/tissue volume (BV/TV) and bone mineral density (BMD) were measured by micro-computed tomography. Bone-to-implant contact (BIC) and bone area fraction occupancy (BAFO) were measured in histomorphometric analyses. Results: All 4 lattice-type 3D-printed implants survived. Three solid-type 3D-printed implants were removed before the planned sacrifice date due to implant mobility. A slight, gradual increase in implant stability values from implant surgery to 4 weeks after surgery was observed in the lattice-type 3D-printed implants. The marginal bone change of the surviving solid-type 3D-printed implant was approximately 5 mm, whereas the value was approximately 2 mm in the lattice-type 3D-printed implants. BV/TV and BMD in the lattice type 3D-printed implants were similar to those in the surviving solid-type implant. However, BIC and BAFO were lower in the surviving solid-type 3D-printed implant than in the lattice-type 3D-printed implants. Conclusions: Within the limits of this preclinical study, 3D-printed implants of double-rooted teeth showed high primary stability. However, 3D-printed implants with interlocking structures such as lattices might provide high secondary stability and successful osseointegration.

• 대한용접접합학회:학술대회논문집
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• 대한용접접합학회 2000년도 특별강연 및 추계학술발표대회 개요집
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• pp.34-36
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• 2000

It is difficult to realize automation of welding of lattice type in shipbuilding and assembly processing of shipbuilding and steel structures. Usually, the welding parts of lattice type are welded manually. So there are limitations in continuous and stable quality controls and in increase in productivity because the welding quality depends on worker's skill. That is, automation in welding is necessary. This paper shows shows the development results of a moblie robot for welding of lattice type. Specially. algorithms for its mobile speed and seam tracking controls are introduced.

• 대한수학회보
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• 제55권2호
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• pp.449-467
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• 2018

In this paper we introduce and study the lattice paths for which the horizontal step is allowed at height $h{\geq}0$, $h{\in}{\mathbb{Z}}$. By doing so these paths generalize the heavily studied weighted lattice paths that consist of horizontal steps allowed at height zero only. Six q-series identities of Rogers-Ramanujan type are studied combinatorially using these generalized lattice paths. The results are further extended by using (n + t)-color overpartitions. Finally, we will establish that there are certain equinumerous families of (n + t)-color overpartitions and the generalized lattice paths.

• Steel and Composite Structures
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• 제8권6호
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• pp.511-530
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• 2008

This paper discusses a feasibility of a new type of two-way system for single layer lattice domes with nodal eccentricity by investigating the dynamic behavior under earthquake motions. The proposed dome is composed of two main arches, intersecting each other with T-joint struts to provide space for tensioning membranes. The main purposes of this study are to calculate the nonlinear dynamic response under severe earthquake motions and to see the possibility of using this new type of two-way system for single layer lattice domes against earthquake motions. The results show that the main arches remain elastic except yielding of the joints of strut members that can be used to absorb some amount of strain energy at strong earthquake motion. Consequently, deformation of the main arches can be reduced and any heavy damages on the main arches can be minimized. A kind of damage-control characteristic appeared in this system may be utilized against severe earthquake motions, showing a possibility of designing a new type of single layer lattice dome.