• Title/Summary/Keyword: lattice frame

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FRAME AND LATTICE SAMPLING THEOREM FOR SUBSPACES OF $L^2$��

  • Liu, Zhan-Wei;Hu, Guo-En
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.195-203
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    • 2009
  • In this paper, a necessary and sufficient condition for lattice sampling theorem to hold for frame in subspaces of $L^2$(R) is established. In addition, we obtain the formula of lattice sampling function in frequency space. Furthermore, by discussing the parameters in Theorem 3.1, some corresponding corollaries are derived.

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Numerical Analysis of Optimum Door Frame for Enhancing Thermal Efficiency (한옥 창호 격자 구조의 전산해석을 통한 한옥 에너지 효율 향상 방안)

  • Ahn, Eun-Young;Kim, Jae-Won
    • Journal of Korea Multimedia Society
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    • v.15 no.5
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    • pp.672-676
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    • 2012
  • This investigation relates generally to windows and doors for traditional Korean houses(Hanok) and, more particularly, to windows and doors for traditional Korean houses which have a lattice structure that can minimize heat loss in the winter. In order to accomplish the above objective, the present invention provides a door for traditional Korean houses, including a structure of a lattice door framed with vertical lattice frames and horizontal lattice frames which are arranged in a regular periodic pattern.

Experimental study on mechanical performances of lattice steel reinforced concrete inner frame with irregular section columns

  • Xue, Jianyang;Gao, Liang;Liu, Zuqiang;Zhao, Hongtie;Chen, Zongping
    • Steel and Composite Structures
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    • v.16 no.3
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    • pp.253-267
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    • 2014
  • Based on the test on a 1/2.5-scaled model of a two-bay and three-story inner frame composed of reinforced concrete beams and lattice steel reinforced concrete (SRC) irregular section columns under low cyclic reversed loading, the failure process and the features of the frame were observed. The subsequence of plastic hinges of the structure, the load-displacement hysteresis loops and the skeleton curve, load bearing capacity, inter-story drift ratio, ductility, energy dissipation and stiffness degradation were analyzed. The results show that the lattice SRC inner frame is a typical strong column-weak beam structure. The hysteresis loops are spindle-shaped, and the stiffness degradation is insignificant. The elastic-plastic inter-story deformation capacity is high. Compared with the reinforced concrete frame with irregular section columns, the ductility and energy dissipation of the structure are better. The conclusions can be referred to for seismic design of this new kind of structure.

Buckling Analysis of Rectangular Lattice Dome According to Rise-Ratio -Evaluate Rigidity of Roof Material By Effective Width of Frame (라이즈비에 따른 사각형 격자 돔의 좌굴해석 -지붕재의 강성을 프레임의 유효폭으로 평가)

  • Park, Sang-Hoon;Suk, Chang-Mok;Jung, Hwan-Mok;Kwon, Young-Hwan
    • Journal of Korean Association for Spatial Structures
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    • v.3 no.2 s.8
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    • pp.69-75
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    • 2003
  • In case of rectangular lattice dome which shearing rigidity is very small, it has a concern to drop Buckling strength considerably by external force. So, by means of system to increase buckling-strength, there is a method of construction that lattice of dome is one with roof material. In a case like this, shearing rigidity of roof material increases buckling-strength of the whole of structure and can be designed economically from the viewpoint of practice. In case of analysis is achieved considering roof material that adheres to lattice of dame, there is method that considers the rigidity that use effective width frame as method to evaluate rigidity of roof material. therefore, this study is aimed at deciding effective width of roof material united with rectangular lattice dome to evaluate rigidity of roof material by effective width of frame and investigating how much does rigidity of roof material united with lattice of dome increase buckling-strength of the whole of structure according to rise-ratio. Conditions of loading are vertical-type-uniform loading. Analysis method is based on FEM dealing with the geometrically nonlinear deflection problems.

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Quantization of Line Spectrum Pair Frequencies using Lattice Vector Quantizers (격자벡터양자화기를 이용한 음성신호의 LSP 주파수 양자화)

  • 강정원;정재호;정대권
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.10
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    • pp.2634-2644
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    • 1996
  • Two different low rate speech coders using one of four types of lattice vector quantizers(LVQ's) with fairly low complexity were investigated for an application to mobile communications. More specifically, two-stage vector quantizer-lattic vector quantizer(VQ-LVQ) systems and vector differenctial pulse code modulation(VDPCM)systems with lattice vector quantizers simulated to encode the line spectrum frequencies of various sentences at the rate 22 to 39 bits per 20 msec frame. The simulation results showed that the VDPCM system with the lattice VQ can save up to 10 bits/fram compared to the quantization scheme used in QCELP system. For the VQ-LVQ system, the spherical quasi-uniform LVQ below 36 bits/frame outperformed the other 3 types of LVQ's and the pyramidal quasi-uniform LVQ at 37 bits/frame outperformed the other 3 types of LVQ's with the spectral distortion 0.97.

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Research on Paper Board Banja With Woomul(井) Structure of Royal Palaces in the Joseon Dynasty (조선시대 궁궐건축의 우물천장 구조 종이반자 연구)

  • Lee, Jong-Seo
    • Journal of architectural history
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    • v.32 no.1
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    • pp.61-72
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    • 2023
  • Korean architecture classifies Banja (the decorated flat of the ceiling visible from the inside) of Royal Palaces into two types: Woomul(water-well, 井) banja, which inserts rectangular wooden board into lattice frame, and paper banja, which applies paper to the flat ceiling. Such classification was established in the 19th century. Before that, Banja was classified according to what was inserted into the lattice frame, either wooden or paper board. At first, the banja that used paper board was widely installed regardless of the purpose or nobility of the building. However, since the 17th century, the use of paper board banja became mostly restricted to Ondol (Korean floor heating system) rooms which are characterized by private usage and the importance of heating, and it was considered inferior to wooden board banja in terms of rank or grace. The contemporary paper banja was mainly installed in low-rank ondol rooms until the late 19th century to early 20th century, when roll-type wallpaper was introduced from the West and the paper banja came to decorate the King's and Queen's bedrooms. The traditional paper board banja benefits heat reservation, reduces the weight of the ceiling, and allows the adjustment of the lattice frame size. Furthermore, it can feature unique artistry if covered with blue, white, or red Neung-hwa-ji (traditional flower pattered paper).

A Buckling Characteristics of Single-Layer Lattice Domes according to Section Shapes of Main Frames (The Existing Domestically-Produced Structural Steel is used as Main Frames) (단층래티스 돔의 주부재 단면형상에 따른 좌굴특성 검토 (KS규격 기성 강재 사용을 기준으로 함))

  • Jung, Hwan-Mok
    • Journal of Korean Association for Spatial Structures
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    • v.13 no.4
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    • pp.75-81
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    • 2013
  • The circular hollow section is usually used for member of main frame to carry the external load in single layer lattice dome. But, the H-shaped section may be used for member of main frame since it is convenient for attaching roof panels. Single layer lattice domes have various buckling characteristics, such as the overall buckling, the member buckling, and nodal buckling. The purpose of this study is to compare buckling characteristics of single-layer lattice domes in which the H-shaped steel section as the existing domestically-produced structural steel is used as main frames to those of domes in which a circular hollow section is used as main frames.

ON STRICT EXTENSIONS OF STRONG δ-FRAMES

  • Lee, Seung On;Choi, Eun Ai
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.1
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    • pp.109-118
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    • 2000
  • In this paper, we introduce strict extensions on a ${\delta}$-frame, and show that if L is a regular strong ${\delta}$-frame, then $\mathcal{T}_XL$ is regular ${\delta}$-frame.

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A multilayered Pauli tracking architecture for lattice surgery-based logical qubits

  • Jin-Ho, On;Chei-Yol Kim;Soo-Cheol Oh;Sang-Min Lee;Gyu-Il Cha
    • ETRI Journal
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    • v.45 no.3
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    • pp.462-478
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    • 2023
  • In quantum computing, the use of Pauli frames through software traces of classical computers improves computation efficiency. In previous studies, error correction and Pauli operation tracking have been performed simultaneously using integrated Pauli frames in the physical layer. In such a complex processing structure, the number of simultaneous operations processed in the physical layer exponentially increases as the distance of the surface code encoding logical qubit increases. This study proposes a Pauli frame management architecture partitioned into two layers for a lattice surgery-based surface code and describes its structure and operation rules. To evaluate the effectiveness of our method, we generated a random circuit according to the gate ratios constituting the commonly known quantum circuits and compared the generated circuit with the existing Pauli frame and our method. Simulations show a decrease of about 5% over traditional methods. In the case of experiments that only increase the code distance of the logical qubit, it can be seen that the effect of reducing the physical operation through the logical Pauli frame becomes more important.

Structural Characteristics of 3- and 4-Coordinate Borons from 11B MAS NMR and Single-Crystal NMR in the Nonlinear Optical Material BiB3O6

  • Kim, Woo Young;Lim, Ae Ran
    • Journal of the Korean Magnetic Resonance Society
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    • v.17 no.1
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    • pp.24-29
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    • 2013
  • The structural characteristics of 4-coordinate $BO_4$ [B(1)] and 3-coordinate $BO_3$ [B(2)] groups in $BiB_3O_6$ were studied by $^{11}B$ magic angle spinning (MAS) and single-crystal nuclear magnetic resonance (NMR) spectroscopy. The spin-lattice relaxation time in the laboratory frame, $T_1$, for $^{11}B$ decreased slowly with increasing temperature, whereas the spin-lattice relaxation times in the rotating frame, $T_{1{\rho}}$, for B(1) and B(2), which differed from $T_1$, were nearly constant. Further, $T_{1{\rho}}$ for B(1) and B(2) showed very similar trends, although the $T_{1{\rho}}$ value of B(2) was shorter than that of B(1). The 3-coordinate $BO_3$ and 4-coordinate $BO_4$ were distinguished by $^{11}B$ MAS NMR spectrum and $T_{1{\rho}}$.