• Title/Summary/Keyword: Complex Variable Method

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THE FIRST AND THE SECOND FUNDAMENTAL PROBLEMS FOR AN ELASTIC INFINITE PLATE WITH HOLES

  • El-Bary, Alaa Abd.
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.899-907
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    • 2001
  • Complex variable methods are used to solve the first and the second fundamental problems for infinite plate with two holes having arbitrary shapes which are conformally mapped on the domain outside of the unit circle by means of rational mapping function. Some applications are investigated and some special cases are derived.

The analytic solution for parametrically excited oscillators of complex variable in nonlinear dynamic systems under harmonic loading

  • Bayat, Mahdi;Bayat, Mahmoud;Pakar, Iman
    • Steel and Composite Structures
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    • v.17 no.1
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    • pp.123-131
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    • 2014
  • In this paper we have considered the vibration of parametrically excited oscillator with strong cubic positive nonlinearity of complex variable in nonlinear dynamic systems with forcing based on Mathieu-Duffing equation. A new analytical approach called homotopy perturbation has been utilized to obtain the analytical solution for the problem. Runge-Kutta's algorithm is also presented as our numerical solution. Some comparisons between the results obtained by the homotopy perturbation method and Runge-Kutta algorithm are shown to show the accuracy of the proposed method. In has been indicated that the homotopy perturbation shows an excellent approximations comparing the numerical one.

Synchronization in Complex Systems

  • Bae, Young-Chul;Kim, Chun-Suk;Koo, Young-Duk
    • Journal of information and communication convergence engineering
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    • v.2 no.4
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    • pp.237-242
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    • 2004
  • In this paper, we introduce a complex systems synchronization method using hyper-chaos circuit consist of State-Controlled Cellular Neural Network (SC-CNN). We make a complex systems using SC-CNN with the n-double scroll. A complex system is created by applying identical n-double scroll or non-identical n-double scroll and Chua's oscillator with weak coupled method to each cell. Complex systems synchronization were achieved using GS(Generalized Synchronization) method between the transmitter and receiver about each state variable in the SC-CNN.

Variable Impedance Control and Fuzzy Inference Based Identification of User Intension for Direct Teaching of a Mobile Robot (이동로봇의 직접교시를 위한 가변 임피던스제어와 퍼지추론 기반 사용자 의도 파악)

  • Ko, Jong Hyeon;Bae, Jang Ho;Hong, Daehie
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.8
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    • pp.647-654
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    • 2016
  • Controlling a mobile robot using conventional control devices requires skill and experience, and is not intuitive, especially in complex environments. For human-mobile robot cooperation, the direct-teaching method with impedance control has been used most frequently in complex environments. This thesis proposes a new direct-teaching method for a mobile robot utilizing variable impedance control. This includes analysis of user intention, which is changed by force and moment. A fuzzy inference technique is proposed in this thesis for identification of user intension. The direct teaching of a mobile robot based on variable impedance control through fuzzy inference is experimentally verified by comparing its efficiency to that of the conventional impedance control-based direct teaching of a mobile robot. Experimental data, such as the total time consumed, path error time, and the total energy used by the user, were recorded. The results showed that the efficiency of variable impedance control was increased.

A study on application of aggregation method based on power flow matching technique and multi-variable control method to the power system (선로 조류 유지 기법에 근거한 계통축약 및 다변수 제어기법 적용 연구)

  • Lee, Byung-Ha;Oh, Min-Hyuk;Baek, Jung-Myoung
    • Proceedings of the KIEE Conference
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    • 2006.11a
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    • pp.342-344
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    • 2006
  • The modem enormous electric power system has made power system analysis much more complex and difficult. For effective analysis of the power system, model reduction and aggregation is required. In this paper, a new aggregation method is presented to aggregate the coherent generators in the large scale power system while matching the power flow. In order to demonstrate the effects of this aggregation method, it is applied to a small scale power system. A multi-variable control technique of $H_{\infty}$ control is also applied to enhance the dynamic stability of the aggregated power system.

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Formulation of the Green's Functions for Coplanar Waveguide Microwave Devices as Genetic Algorithm-Based Complex Images

  • Han, DaJung;Lee, ChangHyeong;Kahng, Sungtek
    • Journal of Electrical Engineering and Technology
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    • v.12 no.4
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    • pp.1600-1604
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    • 2017
  • A new Complex Image Method based on Genetic Algorithm (GA) is proposed to calculate the Green's functions of CPW (coplanar waveguide)-type microwave components and antennas. The closed-forms of the spectral-domain integrals are obtained by the GA, avoiding the conventional procedures of the tedious linear algebra and the sampling conditions sensitive to the complex-variable sampling paths adopted in the Prony's and GPOF methods. The proposed method is compared with the numerical Sommerfeld Integral, which results in good agreement.

Shape Design of Induction Motors for Efficiency Improvement (유도기 효율향상을 위한 회전자슬롯 형상최적화)

  • Kwak, In-Gu;Lee, Hyang-Beom;Park, Il-Han;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.929-931
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    • 1993
  • The design sensitivity analysis based on the finite element method is presented for the eddy current problem with a voltage source. Since, in this problem, the complex variable is used as the state variable, new approach to the sensitivity calculation for the complex variable system is required. Its result is applied to the design of the rotor slot shape of squirrel cage induction motor. As a analysis model, only one slot pitch of rotor is analyzed by using a Periodic boundary condition. The use of this minimal modelling method leads to much saving of calculation time. The design objective is to obtain the desired slip-torque characteristic. Because the shape of rotor slot has much influence on the slip torque characteristic, the design variables are taken on the interface shape between rotor core and rotor bar. The initial shape of rotor slot is the trapezoidal type with rounding corners. The obtained final shape is quite similar to the double squirrel cage type.

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Generating global warming scenarios with probability weighted resampling and its implication in precipitation with nonparametric weather generator

  • Lee, Taesam;Park, Taewoong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.226-226
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    • 2015
  • The complex climate system regarding human actions is well represented through global climate models (GCMs). The output from GCMs provides useful information about the rate and magnitude of future climate change. Especially, the temperature variable is most reliable among other GCM outputs. However, hydrological variables (e.g. precipitation) from GCM outputs for future climate change contain too high uncertainty to use in practice. Therefore, we propose a method that simulates temperature variable with increasing in a certain level (e.g. 0.5oC or 1.0oC increase) as a global warming scenario from observed data. In addition, a hydrometeorological variable can be simulated employing block-wise sampling technique associated with the temperature simulation. The proposed method was tested for assessing the future change of the seasonal precipitation in South Korea under global warming scenario. The results illustrate that the proposed method is a good alternative to levy the variation of hydrological variables under global warming condition.

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Modeling Technique for a Positive and Negative Variable Displacement Swash Plate Hydraulic Piston Pump in a Multibody Dynamics and Multi-Physics Co-Simulation Environment (다물체 동역학과 다중물리 연동 시뮬레이션 환경에서 정/역 가변용량형 사판식 피스톤 펌프의 모델링 기법)

  • Jang, Jin Hyun;Jeong, Heon Sul
    • Journal of Drive and Control
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    • v.16 no.1
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    • pp.36-44
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    • 2019
  • Variable displacement swash plate piston pump analysis requires electric, hydraulics and dynamics which are similar to the one's incorporated in the complex fluid power and mechanical systems. The main variable capacity for the swash plate piston pumps, hydraulics or simple kinematic (swash plate degree, piston displacement) models are analyzed using AMESim, a multi-physics analysis program. AMESim is a multi-physics hydraulic analysis program that is considered good for the environment but not appropriate for environmental analysis for multibody dynamics. In this study, the analytical model of the swash plate type hydraulic piston pump variable capacity is modeled by combining the hydraulic part and the dynamic part through co-simulation of multibody dynamics program (Virtual.lab Motion) and multi-physics analysis (AMESim). This paper describes the whole modeling analysis method on the mechanical analysis of the multi-body dynamics program and how the hydraulic analysis in multi-physics analysis program works. This paper also presents a methodology for analyzing complex fluid power systems.

Rapid Prototyping of Aero-engine Complex Control Method

  • Lu, Jun;Guo, Ying-Ging;Wang, Bin-Zheng
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.59-62
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    • 2008
  • This paper presents an approach of complex control method(CCM) real-time simulation and rapid prototyping for aero-engine control system and describes its principle and realization in detail. This approach is mainly based on MATLAB/RTW for rapid prototyping from system modeling to embedded implementation. According to the simulation results between automatic code and manual code for an aeroengine multi-variable control method, it shows that this approach is feasible and effective, and not only decreases development cycle but also improves the reliability and universality. So a series of problems can be resolved during the simulation stage and rapid application to prototype testing.

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