• Title/Summary/Keyword: PENTAGON

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Restricted Mixture Designs for Three Factors

  • Nae K. Sung;Park, Sung H.
    • Journal of the Korean Statistical Society
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    • v.9 no.2
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    • pp.145-172
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    • 1980
  • Draper and Lawrence (1965a) have given mixture designs for three factors when all the mixture components can vary on the entire factor space so that the region of interest is an equilateral triangle in two dimensions. In this paper their work is extended to the cases when the region of interest is an echelon, parallelogram, pentagon or hexagon, because of the restirctions imposed on some or all of the mixture components. The principles used in the choice of appropriate designs are those originally introduced by Box and Draper(1959). It is assumed that a response surface equation of first order is fitted, but there is a possibility of bias error due to presence of second order terms in the true model. Minimum bias designs for several cases of restricted regions of interest are illustrated.

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Study of the effect of varying shapes of holes in energy absorption characteristics on aluminium circular windowed tubes under quasi-static loading

  • Baaskaran, N;Ponappa, K;Shankar, S
    • Structural Engineering and Mechanics
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    • v.70 no.2
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    • pp.153-168
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    • 2019
  • In this paper, energy absorption characteristics of circular windowed tubes with different section shapes (circular, ellipse, square, hexagon, polygon and pentagon) are investigated numerically and experimentally. The tube possesses the same material, thickness, height, volume and average cross sectional area which are subjected under axial and oblique quasi-static loading conditions. Numerical model was constructed with FE code ABAQUS/Explicit, the obtained outcome of simulation is in good matching with the experimental data. The energy absorbed, specific energy absorption, crash force efficiency, peak and mean loads along with the collapse modes with their initiation point of simple and windowed tubes were evaluated. The technique for order of preference by similarity ideal solution (TOPSIS) approach was employed for assessing their overall crushing performances. The obtained results confirm that efficacy of crash force indicators have improved by introducing windows and tubes with pentagonal and circular windows achieves the maximum ranking about 0.528 and 0.517, it clearly reveals the above are best window shapes.

Wave propagation in a nonlocal prestressed piezoelectric polygonal plate with non-homogeneity and hygroscopic effect

  • Rajendran Selvamani;Hepzibah Christinal;Farzad Ebrahimi
    • Advances in materials Research
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    • v.12 no.4
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    • pp.309-330
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    • 2023
  • The humid thermal vibration characteristics of a nonhomogeneous thermopiezoelectric nonlocal plate of polygonal shape are addressed in the purview of generalized nonlocal thermoelasticity. The plate is initially stressed, and the three-dimensional linear elasticity equations are taken to form motion equations. The problem is solved using the Fourier expansion collocation method along the irregular boundary conditions. The numerical results of physical variables have been discussed for the triangle, square, pentagon, and hexagon shapes of the plates and are given as dispersion curves. The amplitude of non-dimensional frequencies is tabulated for the longitudinal and flexural symmetric modes of the thermopiezoelectric plate via moisture and thermal constants. Also, a comparison of numerical results is made with existing literature, and good agreement is reached.

Analysis of the Crystal Structure and the Relation with the Temperature Coefficient au_\varepsilon$ in $BaORe_2O_3TiO_2$ (Re=La, Nd, Y) Microwave Dielectric Ceramics ($BaORe_2O_3TiO_2$ (Re=La, Nd, Y)계 고주파 유전체의 결정구조 분석 및 온도계수 au_\varepsilon$와의 관련성)

  • 김정석;강현주;심해섭;이창희;천채일
    • Journal of the Korean Ceramic Society
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    • v.36 no.2
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    • pp.136-144
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    • 1999
  • Crystal structures of tungsten-bronze type microwave dielectric ceramics, $BaOLa_2O_34TiO_2$ (BLT) and $BaO(Nd_{0.77}Y_{0.23})_4TiO_2$ (B(NY)T), were analysed using the Rietveld method. The most relibale refinement was obtained by refining the cation and anion positions from the x-ray and neutron diffraction data, respectively. The ambiguites inherent in the refined crystal structure by Mateeva et al. were resolved. The $BaORe_2O_34TiO_2$ structure consiste of $3\times2$ perovskite blocks and 4 pentagon-channels. The Ti-O6 octahedrons are distroted and tilted, which, consequently, induces the displacements of Ba and Re ions producing the superlattics (c$\approx$ 7.6 $\AA$). The B(NY)T showed more severely tilted Ti-O6 octahedrons. The relative dielectric constant $\varepsilon_{\gamma}$ and temperature coefficient $\tau_\varepsilon$ are 109.5 and-$180 ppm/^{\circ}C$ in BLT, 76 and $+40 ppm/^{\circ}C$ in B(NY)T, respectively. The small Re ions produced a positive $\tau_\varepsilon$. The relation between $\tau_\varepsilon$ and the octahedron tilting in complex perovskite is discussed for the tungsten bronze type structure.

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Deformation Characteristics of Underground Pipe with In-situ Soil CLSM (현장발생토 CLSM을 이용한 지하매설관의 변형특성)

  • 박재헌;이관호;조재윤;김석남
    • Journal of the Korean Geotechnical Society
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    • v.20 no.3
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    • pp.129-139
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    • 2004
  • During the construction of circular underground pipe, the non-proper compaction along the pipe and the decrease of compaction efficiency have been the main problems to induce the failure of underground pipe or facility. The use of CLSM (controlled low strength materials) should be one of the possible applications to overcome those problems. In this research, the small-scaled model test and the numeric analysis using PENTAGON-3D FEM program were carried out for three different cases on the change of backfill materials, including the common sand, the soil from construction site, and the CLSM.. From the model test in the lab, it was found out that the use of CLSM as backfill materials reduced the vertical and lateral deformation of the pipe, as well as the deformation of the gound surface. The main reason for reducing the deformation would be the characteristics of the CLSM, especially self-leveling and self-hardening properties. The measured earth pressure at the surround of the corrugated pipe using the CLSM backfills was smaller than those in the other cases, and the absolute value was almost zero. Judging from the small-scaled model test and FEM analysis, the use of CLSM as backfill materials should be one of the best choices reducing failure of the underground pipes.

Feedback Analysis Technique for Tunnel Safety by Using Displacements Measured during the Tunnel Excavation (터널굴착변위를 활용한 시공중 피드백 해석기법 연구)

  • Park, Si-Hyun;Shin, Young-Suk
    • Journal of the Korean Geotechnical Society
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    • v.24 no.1
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    • pp.81-89
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    • 2008
  • The purpose of this study is to develop a new technique to quickly assess the quantitative stability of a tunnel by using measured displacement at the tunnel construction site. To achieve this purpose, in this study, a critical strain concept was introduced for the first time and applied to an assessment of a tunnel under construction. The new technique calculates numerically the strains of the surrounding ground by using displacements measured during tunnel excavation. The techniques considering the relative displacement, shotcrete, and anisotropic characteristics of ground were newly introduced after reinvestigating the existing analysis technique. In addition, an analysis module was developed based on the proposed analysis technique in this study, and the applicability of the developed module was verified. To verify the module, first of all, the calculated excavation displacements of a cylindrical tunnel by analytic method and commercial programs (Pentagon-3D, Flac-2D) were compared for the confirmation of applicability of commercial programs. Then, the calculated excavation displacements under the same initial condition, both with and without a shotcrete lining, by two commercial programs were compared. finally, we assess the load condition and material properties of in-situ ground by inputting tunnel excavation displacement, which was calculated by a commercial program, into the developed analysis module (FAST-Ver. 1.2, feedback Analysis System for Tunneling), and checked whether the assessed results conform to the originally assumed values.

An Advanced Path Planning of Clustered Multiple Robots Based on Flexible Formation (유동적인 군집대형을 기반으로 하는 군집로봇의 경로 계획)

  • Wee, Sung Gil;Saitov, Dilshat;Choi, Kyung Sik;Lee, Suk Gyu
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.12
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    • pp.1321-1330
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    • 2012
  • This paper describes an advanced formation algorithm of clustered multiple robots for their navigation using flexible formation method for collision avoidance under static environment like narrow corridors. A group of clustered multiple robots finds the lowest path cost for navigation by changing its formation. The suggested flexible method of formation transforms the basic group of mobile robots into specific form when it is confronted by particular geographic feature. In addition, the proposed method suggests to choose a leader robot of the group for the obstacle avoidance and path planning. Firstly, the group of robots forms basic shapes such as triangle, square, pentagon and etc. depending on number of robots. Secondly, the closest to the target location robot is chosen as a leader robot. The chosen leader robot uses $A^*$ for reaching the goal location. The proposed approach improves autonomous formation characteristics and performance of all system.

Application of the Internal Degree of Freedom to 3D FDLB Model and Simulations of Aero-Acoustic (3차원 차분격자볼츠만 모델에의 내부자유도 적용 및 유동소음 모사)

  • Kang, Ho-Keun;Ahn, Soo-Whan;Kim, Jeong-Whan
    • Journal of the Society of Naval Architects of Korea
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    • v.43 no.5 s.149
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    • pp.586-596
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    • 2006
  • A 3-dimensional FDLB model with additional internal degree of freedom is applied for diatomic gases such as air, in which an additional distribution function is introduced. Direct simulations of aero-acoustic by using the applied model and scheme are presented. Speed of sound is correctly recovered. As typical examples, the Aeolian tone emitted by a circular column is successfully simulated even very low Mach number flow. Acoustic pressure fluctuations with the same frequency of the Karman vortex street compared with the pressure fluctuation around a circular column is captured. Full three-dimensional acoustic wave past a compact block like pentagon, furthermore, is also emitted in y direction as dipole like sound.

The vacancy diffusion and the formation of dislocation in graphene : Tight-binding molecular dynamics simulation

  • Lee, Gun-Do;Yoon, Eui-Joon;Hwang, Nong-Moon
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.08a
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    • pp.54-55
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    • 2010
  • Vacancy defects in graphene can be created by electron or ion irradiation and those induce ripples which can change the electronic properties of graphene. Recently, the formation of defect structures such as vacancy defects and non-hexagonal rings has been reported in the high resolution transmission electron microscope (HR-TEM) of reduced graphene oxide [1]. In those HR-TEM images, it is noticed that the dislocations with pentagon-heptagon (5-7) pairs are formed and diffuses. Interestingly, it is also observed that two 5-7 pairs are separated and diffuse far away from each other. The separation of 5-7 pairs has been known to be due to their self-diffusion. However, from our tight-binding molecular dynamics simulation, it is found that the separation of 5-7 pairs is due to the diffusion of single vacancy defects and coalescence with 5-7 pairs. The diffusion and coalescence of single vacancy defects is too fast to be observed even in HR-TEM. We also implemented Van der Waals interaction in our tight-binding carbon model to describe correctly bi-layer and multi-layer graphene. The compressibility of graphite along c-axis in our tight-binding calculation is found to be in excellent agreement with experiment. We also discuss the difference between single layer and bi-layer graphene about vacancy diffusion and reconstruction.

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One-Chip and Control System Design of Low Cost for Micro-stepping Drive of 5-Phase Stepping Motor (5상 스테핑 모터의 마이크로스텝 구동을 위한 저가형 전용 칩 및 제어시스템 설계)

  • 김명현;김태엽;안호균;박승규
    • The Transactions of the Korean Institute of Power Electronics
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    • v.9 no.1
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    • pp.88-95
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    • 2004
  • Micro stepping method is adopted in order to eliminate effectively the resonant phenomena and to increase the positional resolution. Exist micro-step method by using Sinusoidal waveform, drive circuit is complex by using micro controller and ROM, it have fault on cost Increase. This paper proposed trapezoidal current wave form for simple control circuit and micro stepping method by using a low cost controller. This paper proposed method verify by using CPLD(EPM9320RC208-15) of low cost. This paper make experiment that comparison of exist method and proposed method. This paper obstruct a escape of motor by using high speed detect.