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Symbolic computation and differential quadrature method - A boon to engineering analysis

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • v.27 no.6
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    • pp.713-739
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    • 2007
  • Nowadays computers can perform symbolic computations in addition to mere number crunching operations for which they were originally designed. Symbolic computation opens up exciting possibilities in Structural Mechanics and engineering. Classical areas have been increasingly neglected due to the advent of computers as well as general purpose finite element software. But now, classical analysis has reemerged as an attractive computer option due to the capabilities of symbolic computation. The repetitive cycles of simultaneous - equation sets required by the finite element technique can be eliminated by solving a single set in symbolic form, thus generating a truly closed-form solution. This consequently saves in data preparation, storage and execution time. The power of Symbolic computation is demonstrated by six examples by applying symbolic computation 1) to solve coupled shear wall 2) to generate beam element matrices 3) to find the natural frequency of a shear frame using transfer matrix method 4) to find the stresses of a plate subjected to in-plane loading using Levy's approach 5) to draw the influence surface for deflection of an isotropic plate simply supported on all sides 6) to get dynamic equilibrium equations from Lagrange equation. This paper also presents yet another computationally efficient and accurate numerical method which is based on the concept of derivative of a function expressed as a weighted linear sum of the function values at all the mesh points. Again this method is applied to solve the problems of 1) coupled shear wall 2) lateral buckling of thin-walled beams due to moment gradient 3) buckling of a column and 4) static and buckling analysis of circular plates of uniform or non-uniform thickness. The numerical results obtained are compared with those available in existing literature in order to verify their accuracy.

An inclined FGM beam under a moving mass considering Coriolis and centrifugal accelerations

  • Shokouhifard, Vahid;Mohebpour, Saeedreza;Malekzadeh, Parviz;Alighanbari, Hekmat
    • Steel and Composite Structures
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    • v.35 no.1
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    • pp.61-76
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    • 2020
  • In this paper, the dynamic behaviour of an inclined functionally graded material (FGM) beam with different boundary conditions under a moving mass is investigated based on the first-order shear deformation theory (FSDT). The material properties vary continuously along the beam thickness based on the power-law distribution. The system of motion equations is derived by using Hamilton's principle. The finite element method (FEM) is adopted to develop a general solution procedure. The moving mass is considered on the top surface of the beam instead of supposing it on the mid-plane. In order to consider the Coriolis, centrifugal accelerations and the friction force, the contact force method is used. Moreover, the effects of boundary conditions, the moving mass velocity and various material distributions are studied. For verification of the present results, a comparative fundamental frequency analysis of an FGM beam is conducted and the dynamic transverse displacements of the homogeneous and FGM beams traversed by a moving mass are compared with those in the existing literature. There is a good accord in all compared cases. In this study for the first time in dynamic analysis of the inclined FGM beams, the Coriolis and centrifugal accelerations of the moving mass are taken into account, and it is observed that these accelerations can be ignored for the low-speeds of the moving mass. The new provided results for dynamics of the inclined FGM beams traversed by a moving mass can be significant for the scientific and engineering community in the area of FGM structures.

Fabrication Process and Power Generation Characteristics of Thermoelectric Thin Film Devices for Micro Energy Harvesting (미세 열에너지 하비스팅용 열전박막소자의 형성공정 및 발전특성)

  • Oh, Tae Sung
    • Journal of the Microelectronics and Packaging Society
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    • v.25 no.3
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    • pp.67-74
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    • 2018
  • Thermoelectric thin film devices of the in-plane configuration consisting of 8 pairs of n-type $Bi_2Te_3$ and p-type $Sb_2Te_3$ legs were processed on Si submounts by electrodeposition. The thermoelectric generation characteristics of the thin film devices were investigated with respect to the apparent temperature difference ${\Delta}T$ caused by LED lighting as well as the change of the leg thickness. When ${\Delta}T$ was 7.4 K, the open circuit voltages of 6.1 mV, 7.4 mV, and 11.8 mV and the maximum output powers of 6.6 nW, 12.8 nW, and 41.9 nW were measured for the devices with the thermoelectric legs of which thickness were $2.5{\mu}m$, $5{\mu}m$, and $10{\mu}m$, respectively.

Interpretation of a Traditional Mansion, the Sunktyojang in Kangreung (상류(上流) 전통주거(傳統住居) 강릉(江陵) 선교장(船橋莊)의 해석(解釋))

  • Lee, Hee-Bong
    • Journal of architectural history
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    • v.8 no.4 s.21
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    • pp.39-62
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    • 1999
  • Basic concept of this study is that architectural form as a material at present has meaning for the dweller's life on the past historical plane. Main method to recover history is ethnographic interview to dwellers. Secondary method is to analyze ancestors' writings, buildings in the background of the family photos, and past drawings and then to relate them with architectural form at present. Taxonomy is a starting point: general name of the building by outside researcher is quite different from it by inside dwellers. 'Haengrang-chae', servant quarter, has never been used for servants. Function of the haengrang went outside thatched houses at the front village. Firsthand observation or simple analyses as results of several precedent research are reexamined and criticized through this study. The mansion has moaning when we synthesize with the site location based on farming land and tenant farmer, and decline of the Kyongpo Lake. Territoriality of the mansion is reinterpreted to 'In-Out Structure' by Yin-Yang thinking, Dwellers extend buildings gradually to outside village, surrounding rear hills, the lake, DongHae Sea, and finally goes to imaginative Taoist heaven beyond real nature through the literary life. Confucius principle, known to govern upper class house at Yi Dynasty also affect general composition of the buildings: perpetuation of the family by ancestor worship, elder dominance and male dominance, fraternity love in the extended family, charity display by reception of guests, Taoist scholarly life harmonized with nature. However, the study of the particular life and usage of the dwellers reinforces or corrects general supposition of precedent researches. Unique shape of the house has been formed by convenience of the dwellers' life style, early modernized free thought over the rigid Confucius design principle, and female power in male dominant society.

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Design and fabrication of a zoom optics having 20 magnification range for mid-IR(3.7-4.8$\mu$m) FLIR system (3.7-4.8$\mu$m 파장대역 FLIR 시스템을 위한 20:1 줌 렌즈 광학계 설계 및 제작)

  • 김현숙;김창우;홍석민
    • Korean Journal of Optics and Photonics
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    • v.10 no.6
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    • pp.462-467
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    • 1999
  • This paper describes the design and fabrication of mid-IR $(3.7-4.8{\mu}m)$ zoom optics which is used for FUR (Forward Looking Infra-Red) system with 320 $\times$ 240 focal plane arrays. The zoom optics has 20 magnification range and maximun 40$^{\circ}$$\times$30$^{\circ}$ of super wide field of view. The locus of zoom is almost linear, which gives easy access of mechanical and electro-mechanical design. The on-axis MTF of zoom optics has been measured and it shows diffraction limited optical performance. For example, it gives 0.692 at 24 cycles/mm at highest magnification, and 7.6 cycles/mradof resolving power is achieved with the operation of attached micro-scanning system.system.

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A Motion Detection Approach based on UAV Image Sequence

  • Cui, Hong-Xia;Wang, Ya-Qi;Zhang, FangFei;Li, TingTing
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.3
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    • pp.1224-1242
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    • 2018
  • Aiming at motion analysis and compensation, it is essential to conduct motion detection with images. However, motion detection and tracking from low-altitude images obtained from an unmanned aerial system may pose many challenges due to degraded image quality caused by platform motion, image instability and illumination fluctuation. This research tackles these challenges by proposing a modified joint transform correlation algorithm which includes two preprocessing strategies. In spatial domain, a modified fuzzy edge detection method is proposed for preprocessing the input images. In frequency domain, to eliminate the disturbance of self-correlation items, the cross-correlation items are extracted from joint power spectrum output plane. The effectiveness and accuracy of the algorithm has been tested and evaluated by both simulation and real datasets in this research. The simulation experiments show that the proposed approach can derive satisfactory peaks of cross-correlation and achieve detection accuracy of displacement vectors with no more than 0.03pixel for image pairs with displacement smaller than 20pixels, when addition of image motion blurring in the range of 0~10pixel and 0.002variance of additive Gaussian noise. Moreover,this paper proposes quantitative analysis approach using tri-image pairs from real datasets and the experimental results show that detection accuracy can be achieved with sub-pixel level even if the sampling frequency can only attain 50 frames per second.

A Study on the Heat Loss Reduction of a Refrigerator by Thermal Conductivity Change and Partial Removal of Rubber Magnet (냉장고 가스켓 주위 고무자석 재질 및 형상 변경에 따른 열손실 개선 연구)

  • Ha, Ji Soo;Ahn, Won Sul
    • Journal of Energy Engineering
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    • v.23 no.4
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    • pp.240-246
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    • 2014
  • The present study has been carried out to reduce the heat loss from a refrigerator by changing thermal conductivity and partial removal of rubber magnet near refirgerator gasket. To perform this purpose, two dimensional heat transfer analysis for the horizontal cross sectional plane of a refrigerator has been accomplished. From the present study, it could be seen that the heat loss could be reduced nearly 7% by changing thermal conductivity of rubber magnet from 10W/mK to 1W/mK. The heat loss reduction, 17%, could be achieved by removal of rubber magnet near hotline and the effect on the heat loss reduction by partial removal of rubber magnet might be helpful for the refrigerator power consumption.

Dynamic Calibration Coefficients Estimation with Linear Interpolation for Uncooled TEC-less IRFPA (비냉각형 TEC-less 열상 시스템에 적합한 선형보간 기반 동적 보정 계수 추정 기법)

  • Han, Sang-Hyuck;Kwak, Dong-Min
    • Aerospace Engineering and Technology
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    • v.11 no.1
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    • pp.98-102
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    • 2012
  • These days, Uncooled IR Systems are more popular in the area of defense and aerospace than before. Uncooled IR Systems are widely used as core technology for making unmanned systems and detecting enemy objects during the day and night in the distance. Recently, researches on TEC-less IRFPA have been increased to minimize the power consumption and to make a smaller system than before. For this, it needs to find adequate NUC(Non-Uniformity Correction) coefficients as FPA(Focal Plane Array) temperature changes. In this paper, we propose a new NUC coefficient estimating technique, DCCE-LI(Dynamic Calibration Coefficients Estimation with Linear Interpolation), for TEC-less IRFPA. It is based on a linear interpolation method and it can estimate NUC coefficients in real-time. So, by testing and evaluating it with some IR images, we conclude that the quality of IR images using proposed method is better than applying static coefficients.

CFD Based Shape Design of Guide Vane for Fan Filter Unit (전산유체해석을 이용한 Fan Filter Unit(FFU)의 가이드 베인 형상설계)

  • Jang, Jun Hwan;Ahn, Joon;Myong, Hyon Kook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.7
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    • pp.709-716
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    • 2013
  • A fan filter unit (FFU) is a device which supplies clean air from the ceiling in a clean room. With an increase in its size, velocity variation occurs within the exhaust plane and this damage the product quality or productivity. Hence, a guide vane is installed inside the device to enhance the velocity uniformity. Because the vane reduces the flow rate for a given pumping power, an optimum design is required to achieve velocity uniformity while minimizing the flow rate reduction at the same time. To find a geometry that satisfies these requirements, a series of numerical simulations has been conducted while changing the angle and length of the guide vanes. By changing the geometry of the side guide vane, the velocity uniformity increased by 3.7% and the flow rate decreased by 1.5%. For the center guide vane, the velocity uniformity increased by 2.9% and the flow rate decreased by 0.7%.

Design of wideband microstrip monopole slot antenna (광대역 마이크로스트립 모노폴 슬롯안테나의 설계)

  • Lee, Young-Soon;Cho, Yun-Ki
    • Journal of Advanced Navigation Technology
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    • v.16 no.5
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    • pp.766-772
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    • 2012
  • In the present study, wideband microstrip monopole slot antennas which can be applied to the RF4CE Zigbee remote controller are designed. First I-shaped monopole slot antenna which has ${\lambda}g/4$ length at 2.45GHz is designed. In particular, a conducting via is used to connect the microstrip feed line and the ground plane surrounded with the etched slot for the bandwidth improvement. In order to reduce the antenna size, it is changed into L-shaped and T-shaped monopole slot antennas for which improve results of antenna performance are observed. In case of T-shaped monopole slot antenna, impedance bandwidth(VSWR<2) is about 3.32GHz, and also its radiation efficiency and gain is more than 90% and 2.1dBi respectively at whole operating frequency range. In particular, all of proposed monopole slot antennas have the end-fire radiations which has a maximum radiation power toward direction of open ends of monopole slots.