• 한국전산구조공학회:학술대회논문집
• /
• 한국전산구조공학회 2008년도 정기 학술대회
• /
• pp.45-48
• /
• 2008

Periodic lattice structures such as the large space lattice structures and carbon nanotubes may take the extension-transverse shear-bending coupled vibrations, which can be well represented by the extended Timoshenko beam theory. In this paper, the spectrally formulated finite element model (simply, spectral element model) has been developed for extended Timoshenko beams and applied to some typical periodic lattice structures such as the armchair carbon nanotube, the periodic plane truss, and the periodic space lattice beam.

• 한국철도학회:학술대회논문집
• /
• 한국철도학회 2008년도 추계학술대회 논문집
• /
• pp.1403-1406
• /
• 2008

Periodic lattice structures such as the large space lattice structures and carbon nanotubes may take the extension-transverse shear-bending coupled vibrations, which can be well represented by the extended Timoshenko beam theory. In this paper, the spectrally formulated finite element model (simply, spectral element model) has been developed for extended Timoshenko beams and applied to some typical periodic lattice structures such as the armchair carbon nanotube, the periodic plane truss, and the periodic space lattice beam.

• 대한수학회지
• /
• 제36권3호
• /
• pp.621-631
• /
• 1999

In this paper we briefly describe the geometry of the Cayley hyperbolic plane and we show that every uniform lattice in quaternionic space cannot be deformed in the Cayley hyperbolic 2-plane. We also describe the nongeometric bending deformation by developing the theory of the Cartan angular invariant for quaternionic hyperbolic space.

• 대한수학회논문집
• /
• 제10권2호
• /
• pp.285-292
• /
• 1995

Some nonpath-connected orthomodular lattices are given : Every infinite direct product of othomodular lattices containing infinitely many non-Boolean factors is a nonpath-connected orthomodular lattice. The orthomodular lattice of all closed subspaces of an infinite dimensional Hilbert space is a nonpath-connected orthomodular lattice.

• 한국결정학회지
• /
• 제16권1호
• /
• pp.11-20
• /
• 2005

Two-dimensional lattice에 존재하는 6가지 기본대칭과 5개의 Bravais lattice를 유도하였고 10개의 two-dimensional point groups를 5개의 각 Bravais lattice에 따라 분류하였다. 마지막으로 10개 point groups에 속한 17 two-dimensional space groups를 고찰하였다.

• 한국세라믹학회지
• /
• 제35권11호
• /
• 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.

• 한국터널지하공간학회 논문집
• /
• 제15권3호
• /
• pp.201-214
• /
• 2013

격자지보재는 기존의 H형강 지보재를 대체하여 현재 국내의 터널현장에서 널리 사용되고 있다. 그러나 격자지보재는 H형강 지보재에 비하여 강성이 떨어지며 이음부를 연결하는 용접에 만전을 기해야 한다는 단점이 있다. 이러한 문제를 개선하기 위하여 연결용 부재가 추가되고 용접부위를 편평하게 만든 개량형 격자지보재가 국내 기술에 의하여 개발되었다. 본 연구에서는 기존 격자지보와 개량형 격자지보에 대한 실내시험 및 현장계측을 수행하여 개량형 격자지보의 성능을 평가하였다. 실내 압축시험결과에 의하면 개량형 격자지보가 기존 격자지보에 비하여 약 16% 정도 큰 지지하중을 보였다. 현장 계측 결과에 의하면 개량형 격자지보가 기존 격자지보보다 강봉의 휨이 적게 발생하여 터널의 안정성 측면에서 더 우수하였다.

• 대한수학회논문집
• /
• 제39권1호
• /
• pp.137-147
• /
• 2024

In the present paper, we introduce a new class of operators called p-demicompact operators between two lattice normed spaces X and Y. We study the basic properties of this class. Precisely, we give some conditions under which a p-bounded operator be p-demicompact. Also, a sufficient condition is given, under which each p-demicompact operator has a modulus which is p-demicompact. Further, we put in place some properties of this class of operators on lattice normed spaces.

• International Journal of Aeronautical and Space Sciences
• /
• 제18권3호
• /
• pp.450-466
• /
• 2017

This paper defines the modified effective membrane stiffness, bending stiffness considering the directionally dependent mechanical properties and mode shape function of a composite lattice rectangular plate, which is assumed to be a Kirchhoff-Love plate. It subsequently presents an approximate method of conducting a buckling analysis of the composite lattice rectangular plate with various boundary conditions under uniform compression using the Ritz method. This method considers the coupled buckling mode as well as the global and local buckling modes. The validity of the present method is verified by comparing the results of the finite element analysis. In addition, this paper performs a parametric analysis to investigate the effects of the design parameters on the critical load and buckling mode shape of the composite lattice rectangular plate based on the present method. The results allow a database to be obtained on the buckling characteristics of composite lattice rectangular plates. Consequently, it is concluded that the present method which facilitates the calculation of the critical load and buckling mode shape according to the design parameters as well as the parametric analysis are very useful not only because of their structural design but also because of the buckling analysis of composite lattice structures.

• 터널과지하공간
• /
• 제15권4호
• /
• pp.243-249
• /
• 2005

터널 굴착 시 최근 사용이 늘어난 격자지보(lattice girder)의 구조적 거동분석을 위해 유한요소해석 프로그램인 MIDAS를 이용하여 하중 조건, 재하 방법, 지보재의 형상을 달리하여 해석하였다. 격자지보의 시공 최적 조건을 제시하였다.