• Title/Summary/Keyword: Derived form

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Bending analysis of bi-directional functionally graded Euler-Bernoulli nano-beams using integral form of Eringen's non-local elasticity theory

  • Nejad, Mohammad Zamani;Hadi, Amin;Omidvari, Arash;Rastgoo, Abbas
    • Structural Engineering and Mechanics
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    • v.67 no.4
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    • pp.417-425
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    • 2018
  • The main aim of this paper is to investigate the bending of Euler-Bernouilli nano-beams made of bi-directional functionally graded materials (BDFGMs) using Eringen's non-local elasticity theory in the integral form with compare the differential form. To the best of the researchers' knowledge, in the literature, there is no study carried out into integral form of Eringen's non-local elasticity theory for bending analysis of BDFGM Euler-Bernoulli nano-beams with arbitrary functions. Material properties of nano-beam are assumed to change along the thickness and length directions according to arbitrary function. The approximate analytical solutions to the bending analysis of the BDFG nano-beam are derived by using the Rayleigh-Ritz method. The differential form of Eringen's non-local elasticity theory reveals with increasing size effect parameter, the flexibility of the nano-beam decreases, that this is unreasonable. This problem has been resolved in the integral form of the Eringen's model. For all boundary conditions, it is clearly seen that the integral form of Eringen's model predicts the softening effect of the non-local parameter as expected. Finally, the effects of changes of some important parameters such as material length scale, BDFG index on the values of deflection of nano-beam are studied.

Performance Analysis of Distributed Antenna Systems with Antenna Selection over MIMO Rayleigh Fading Channel

  • Yu, Xiangbin;Tan, Wenting;Wang, Ying;Liu, Xiaoshuai;Rui, Yun;Chen, Ming
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.9
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    • pp.3016-3033
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    • 2014
  • The downlink performance of distributed antenna systems (DAS) with antennas selection is investigated in Rayleigh fading multicell environment, and the corresponding system capacity and bit error rate (BER) analysis are presented. Based on the moment generating function, the probability density function (PDF) and cumulative distribution function (CDF) of the effective signal to interference plus noise ratio (SINR) of the system are first derived, respectively. Then, with the available CDF and PDF, the accurate closed-form expressions of average channel capacity and average BER are further derived for exact performance evaluation. To simplify the expression, a simple closed-form approximate expression of average channel capacity is obtained by means of Taylor series expansion, with the performance results close to the accurate expression. Besides, the system outage capacity is analyzed, and an accurate closed-form expression of outage capacity probability is derived. These theoretical expressions can provide good performance evaluation for DAS downlink. It can be shown by simulation that the theoretical analysis and simulation are consistent, and DAS with antenna selection outperforms that with conventional blanket transmission. Moreover, the system performance can be effectively improved as the number of receive antennas increases.

Approximate Solution of Vertical Wave Board Oscillating in Submerged Condition and Its Design Application (수직 평판 요소의 수중동요 근사해와 설계 적용)

  • Oh, Jungkeun;Kim, Ju-Yeol;Kim, Hyochul;Kwon, Jongho;Lew, Jae-Moon
    • Journal of the Society of Naval Architects of Korea
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    • v.55 no.6
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    • pp.527-534
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    • 2018
  • The segment of the piston type wave board has been expressed as a submerged vertical line segment in the two dimensional wave flume. Either end of vertical line segment representing wave board could be located in fluid domain from free surface to the bottom of the flume. Naturally the segment could be extended from the bottom to the free surface of the flume. It is assumed that the piston motion of the wave board could be defined by the sinusoidal oscillation in horizontal direction. Simplified analytic solution of the submerged segment of wave board has been derived through the first order perturbation method in water of finite depth. The analytic solution has been utilized in expressing the wave generated by the piston type wave board installed on the upper or lower half of the flume. The wave form derived by the analytic solution have been compared with the wave profile obtained through the CFD calculation for the either of the above cases. It is appeared that the wave length and the wave height are coincided each other between analytic solution and CFD calculation. However the wave form obtained by CFD calculations are more closer to real wave form than those from analytic calculation. It is appeared that the linear solutions could be not only superposed by segment but also integrated by finite elements without limitation. Finally it is proven that the wave generated by the oscillation of flap type wave board could be derived by integrating the wave generated by the sinusoidal motion of the finite segment of the piston type wave board.

A robust generalized predictive control which guarantees $H_{\infty}$ norm bounds ($H_{\infty}$노옴조건을 만족하는 강인한 일반형예측제어기)

  • 이영일;김용호;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.556-559
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    • 1996
  • In this paper, we suggest a H center .inf. generalized predictive control(H center GPC) which guarantees $H_{\infty}$-norm bounds. THe suggested control is obtained by solving the min-max problem in nonrecursive forms. The stability conditions of the suggested control are derived in a somewhat simple form and it is not required for the derived solution to be a saddle point solution. It is also shown that the suggested control guarantees the $H_{\infty}$-norm bounds under the same conditions of stability.

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Probability of symbol error for M-ary QAM in nakagami fading channel (나카가미 페이딩 채널에서 M-ary QAM의 심벌 오류 확률)

  • 조경국;윤동원;한영열
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.11
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    • pp.9-15
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    • 1997
  • The Nakagami m-distribution is used to model different fading environments and shown to fit experimental resutls more accurately than other distributions. In this paper, the probability of symbol error for M-ary QAM with square signal constellation in frequency-nonselective shlow Nakagami fading and additive white Gaussian noise is derived. When Nakagami fading index is integer, the derived resutls leads to the closed-form of a finite series.

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Rotor Dynamics Analysis of a Spindle System for a High speed Grinding Machine (고속 연삭기 주축 시스템의 회전체 역학 해석)

  • 최영휴
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.714-719
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    • 2000
  • This paper describes a transfer matrix approach to analyze the dynamics of a high sped flexible rotor system supported at 2 positions by five ceramic bearings. The rotor system is modelled as lumped parameters in which many factors are considered not only lumped inertia or mass, bending moment, shear force but also gyroscopic effect and unbalance. The equation of motion is derived in the transfer matrix form, from which the eigenvalues equation is also derived. The transfer natural frequencies and modes. The eigenvalues, eigenmodes, campbell diagram, whirling critical speed, whirling modes, and the response of unbalance are calculated and discussed.

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LEAF CELLULAR AUTOMATA

  • Okayama, T.;Murase, H.
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 2000.11b
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    • pp.295-299
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    • 2000
  • We have developed bio-system derived algorithm: Leaf Cellular Automata(LCA). LCA are one form of cellular automata. LCA are reffered to activity of a leaf. LCA have four layers: the "CO$_2$ Layer", the "Stoma Layer", the "Starch Layer" and the "Water Layer". In order to evaluate this optimization algorithm, we used a pattern matching problem.

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Thermoacoustic Power Generation by a Heater in a Tube with Air Current (기류가 있는 관에서 가열에 의한 열음향력의 발생)

  • 권영필;이병호
    • The Journal of the Acoustical Society of Korea
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    • v.3 no.1
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    • pp.9-15
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    • 1984
  • Thermoacoustic oscillation induced by a heater in a tube with air current is studied theoretically. Linearized perturbation equations are derived in dimensionless form under the assumption that the system is one dimensional. The equation to predict the acoustic power generation from a heating surface is derived and calculated by solving differential equations numerically. The effect of the mean velocity of the air current is illustrated. The energy conversion mechanism is shown by pressure-volume diagram like a heat engine.

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Optimal Control of Stochastic Bilinear Systems (확률적 이선형시스템의 최적제)

  • Hwang, Chun-Sik
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.31 no.7
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    • pp.18-24
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    • 1982
  • We derived an optimal control of the Stochastic Bilinear Systems. For that we, firstly, formulated stochastic bilinear system and estimated its state when the system state is not directly observable. Optimal control problem of this system is reviewed on the line of three optimization techniques. An optimal control is derived using Hamilton-Jacobi-Bellman equation via dynamic programming method. It consists of combination of linear and quadratic form in the state. This negative feedback control, also, makes the system stable as far as value function is chosen to be a Lyapunov function. Several other properties of this control are discussed.

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The Meaning of Architectural Shape in the Architectures of the East and the West - based on the Idea of 'Form(形象)' and 'Energy-Form(氣形)'- (동서양 건축에서의 '형태'의 의미 - '형상(形象)'과 '기형(氣形)'의 개념을 중심으로-)

  • Kim, Sung-Woo
    • Journal of architectural history
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    • v.12 no.4 s.36
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    • pp.27-48
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    • 2003
  • This paper aims to identify the meaning of architectural form of the East and the West. Ordinarily, we know the visual differences of architectural form between the two cultural families, and the technical reasons of such differences. However, the East and the West have their own views of architectural form that are derived from their own views of architecture, and again the views of architecture are rooted in their own views of the world. The paper maintains a comparative stance between the two cultures in analyzing the different concepts of architectural form, and employ the ideas of 'Form(形象)' and 'Energy-Form(氣形)' as a kind of representative concept of the two views of architectural form. It is discussed that the idea of Form pursued the realization of ultimate substance which is less materialistic but more ideal., while, the idea of Energy-Form pursued the realization of oneness and health through mutual interaction between man, architecture and nature. Architectural form in the West has been the purposeful expression of human ideal, while in the East, it was an expediential device for better energy condition. It seems important to understand such differences of the meaning of architectural form between the East and the West, since, in present time, we tend to think that the Western conception of architectural form is the only possible one. But it is not generally known that the Western conception of form has very particular background reason of its own which is unique to Western culture, and on the other hand, the nature of East Asian conception of architectural form is generally unknown.

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