• Title/Summary/Keyword: analytical algorithm

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Nonlinear vibration of conservative oscillator's using analytical approaches

  • Bayat, Mahmoud;Pakar, Iman;Bayat, Mahdi
    • Structural Engineering and Mechanics
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    • v.59 no.4
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    • pp.671-682
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    • 2016
  • In this paper, a new analytical approach has been presented for solving nonlinear conservative oscillators. Variational approach leads us to high accurate solution with only one iteration. Two different high nonlinear examples are also presented to show the application and accuracy of the presented approach. The results are compared with numerical solution using runge-kutta algorithm in different figures and tables. It has been shown that the variatioanl approach doesn't need any small perturbation and is accurate for nonlinear conservative equations.

Coupling Finite Elements and Analytical Solution for Electromagnetic Field Analysis (유한요소법과 해석석의 응합에 의한 전자동 연구)

  • 김은배;양재면;이기식;유동일
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.4
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    • pp.362-368
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    • 1992
  • This paper presents a coupling scheme, which couples an analytical solution and the standard finite element, for analyzing the electromagnetic fields. The former is a solution of the magnetic field in free space, i.e., the outer region of boundary, and the latter represents the system with source currents and magnetic materials in the inner region of boundary. The proposed method retains the sparsity and symmetry of the final system matrix, the merits of the standard FEM. To verify the usefulness of the proposed algorithm, an example which can be solved analytically is chosen and analyzed. The results are compared with those of the standard FEM and the analytic solutions.

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Variable Characteristics of Inductance Profile and Flux Linkage for SRM (SRM의 인덕턴스 및 쇄교자속 변화 특성)

  • Choi, Kyeong-Ho;Back, Won-Sik;Kim, Dong-Hee;Kim, Min-Huei
    • Proceedings of the KIEE Conference
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    • 2001.04a
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    • pp.156-159
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    • 2001
  • This Paper analysis variable characteristics of inductance profiles and basic magnetic fields for Switched Reluctance Motors(SRM). The varying Inductance and flux linkage on operating control condition are very important for developing control algorithm and SRM accurate drive system. Therefore, we have analytical model for varying inductance and flux linkage with simulation and experimental mothed, and to find an analytical expression for the SRM coenergy. There are shown some good results that comparison of simulated and analytical inductance, flux linkage and current waves.

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Analytical solution for nonlinear vibration of an eccentrically reinforced cylindrical shell

  • Bayat, Mahmoud;Pakar, Iman;Bayat, Mahdi
    • Steel and Composite Structures
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    • v.14 no.5
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    • pp.511-521
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    • 2013
  • In this study we have considered the governing nonlinear equation of an eccentrically reinforced cylindrical shell. A new analytical method called He's Variational Approach (VA) is used to obtain the natural frequency of the nonlinear equation. This analytical representation gives excellent approximations to the numerical solution for the whole range of the oscillation amplitude, reducing the respective error of angular frequency in comparison with the variation approach method. It has been proved that the variational approach is very effective, convenient and does not require any linearization or small perturbation. Additionally it has been demonstrated that the variational approach is adequately accurate to nonlinear problems in physics and engineering.

DOMAIN DECOMPOSITION ALGORITHM AND ANALYTICAL SIMULATION OF COUPLED FLOW IN RESERVOIR / WELL SYSTEM

  • EWING, RICHARD;IBRAGIMOV, AKIF;LAZAROV, RAYCHO
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.2
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    • pp.71-99
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    • 2001
  • The model and analytical method for solving the problem of coupled fluid flow in the reservoir/well system is presented. The 3-D drainage area is composed of three connected media: the tubing, the annuli as a super conducting collector, and the reservoir itself. To couple these three types of fluid flows a non-overlapping Dirichlet-Neumann domain decomposition method is developed. The method allows us to apply an analytical hybrid simulator for accurate evaluation of the impact of main geometrical and hydrodynamic parameters of the 3-D system on the pressure drop along the horizontal well and its production index.

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The Senstivitiy Analysis and Optimiaztion for the Development of the SMD Performance (표면 실장기(SMD) 성능 개선을 위한 민감도 해석 및 최적화)

  • Cha, In-Hyuk;Han, Chang-Soo;Kim, Jung-Duck
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.568-573
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    • 1996
  • In this paper, A design strategy of the Surface Mounting Device for accurate and better performance is studied. Analytical Modeling. Sensitivity analysis and optimization are being conducted. The ANSYS software and experimental method are used for verification of the analytical equations withboundary conditons. Through the sensitivity analysis, the most dominant design parameters can be detected. The optimum design parameters for performing given performing given perfomances are selected by using the optimization algorithm. The design tool based on the design strategy for the analysis, modeling and optimization will be useful for a re-design and better perofrmance of the SMD.

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The Sensitivity Analysis and Optimization for the Development of the SMD Performance (표면 실장기(SMD) 성능 개선을 위한 민감도 해석 및 최적화 방안)

  • Cha, In-Hyuk;Han, Chang-Soo;Kim, Jung-Duck
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.120-128
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    • 1997
  • In this paper, A design strategy of the Surface Mounting Device for accurate and better performance is studied. Analytical modeling, sensitivity analysis, and optimization are being conducted. The ANSYS software and experimental method are used for the verification of the analytical equations with boundary conditions. Through the sensitivity analysis, the most dominant design parameter can be detected. The optimum design parameters for improving the given performances are selected by using the optimiza- tion algorithm. The design tool based on the design strategy for the analysis, modeling, and optimization will be useful for are-design and better improving of the SMD.

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A Genetic-Algorithm-Based Optimized Clustering for Energy-Efficient Routing in MWSN

  • Sara, Getsy S.;Devi, S. Prasanna;Sridharan, D.
    • ETRI Journal
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    • v.34 no.6
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    • pp.922-931
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    • 2012
  • With the increasing demands for mobile wireless sensor networks in recent years, designing an energy-efficient clustering and routing protocol has become very important. This paper provides an analytical model to evaluate the power consumption of a mobile sensor node. Based on this, a clustering algorithm is designed to optimize the energy efficiency during cluster head formation. A genetic algorithm technique is employed to find the near-optimal threshold for residual energy below which a node has to give up its role of being the cluster head. This clustering algorithm along with a hybrid routing concept is applied as the near-optimal energy-efficient routing technique to increase the overall efficiency of the network. Compared to the mobile low energy adaptive clustering hierarchy protocol, the simulation studies reveal that the energy-efficient routing technique produces a longer network lifetime and achieves better energy efficiency.

PSO algorithm for fundamental frequency optimization of fiber metal laminated panels

  • Ghashochi-Bargh, H.;Sadr, M.H.
    • Structural Engineering and Mechanics
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    • v.47 no.5
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    • pp.713-727
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    • 2013
  • In current study, natural frequency response of fiber metal laminated (FML) fibrous composite panels is optimized under different combination of the three classical boundary conditions using particle swarm optimization (PSO) algorithm and finite strip method (FSM). The ply angles, numbers of layers, panel length/width ratios, edge conditions and thickness of metal sheets are chosen as design variables. The formulation of the panel is based on the classical laminated plate theory (CLPT), and numerical results are obtained by the semi-analytical finite strip method. The superiority of the PSO algorithm is demonstrated by comparing with the simple genetic algorithm.

An Analytical Approach for Design of Nth-band FIR Digital Filters with Equi-Ripple Passband

  • Moon, Dong-Wook;Kim, Lark-Kyo;Lim, Cheng-Chew
    • Journal of Electrical Engineering and Technology
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    • v.4 no.3
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    • pp.423-428
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    • 2009
  • In FIR (Finite Impulse Response) filter applications, Nth-band FIR digital filters are known to be important due to their reduced computational requirements. The conventional methods for designing FIR filters use iterative approaches such as the well-known Parks-McClellan algorithm. The Parks-McClellan algorithm is also used to design Nth-band FIR digital filters after Mintzer's research. However, a disadvantage of the Parks-McClellan algorithm is that it needs a large amount of design time. This paper describes a direct design method for Nth-band FIR Filters using Chebyshev polynomials, which provides a reduced design time over indirect methods such as the Parks-McClellan algorithm. The response of the resulting filter is equi-ripple in passband. Our proposed method produces a passband response that is equi-ripple to within a minuscule error, comparable to that of Mintzer's design method which uses the Parks-McClellan algorithm.