• Title/Summary/Keyword: Method of generalized mode

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Analysis of Scattering Characteristics of a Rectangular Waveguide with Conducting Half Cylinders using the Mode Matching Method (모드매칭법을 이용한 금속의 Half Cylinder가 있는 구형 도파관의 산란 특성 해석)

  • 김원기;천동완;김상태;신철재
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.8A
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    • pp.962-971
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    • 2004
  • In this paper, we present the numerical analysis method for analyzing scattering characteristics of a rectangular waveguide with the conducting half cylinder using the mode matching method and compute scattering characteristics of a waveguide according to the rotation and changing radius of the half cylinder. Also, in conjunction with the generalized scattering method, the proposed method can be easily applied to a rectangular waveguide with cascade structure of conducting half cylinders. From the simulated result of a two pole filter, resonance frequency could be controlled by the rotation of half cylinders. The simulated result shows good agreement with the HFSS's result. The proposed structure and analysis method are easily applied to the design of waveguide components with conducting half cylinders.

Investigation on the Generalized Hydrodynamic Force and Response of a Flexible Body at Different Reference Coordinate System (기준 좌표계에 따른 탄성체의 일반화 파랑 하중 및 응답에 대한 연구)

  • Heo, Kyeonguk;Choi, Yoon-Rak
    • Journal of the Society of Naval Architects of Korea
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    • v.58 no.6
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    • pp.348-357
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    • 2021
  • In this paper, the generalized hydrodynamic force and response of a flexible body are calculated at different reference coordinate systems. We generalize the equation of motion for a flexible body by using the conservation of momentum (Mei et al., 2005). To obtain the equations in the generalized mode, two different reference coordinates are adopted. The first is the body-fixed coordinate system by a rigid body motion. The other is the inertial coordinate system which has been adopted for the analysis. Using the perturbation scheme in the weakly-nonlinear assumption, the equations of motion are expanded up to second-order quantities and several second-order forces are obtained. Numerical tests are conducted for the flexible barge model in head waves and the vertical bending is only considered in the hydroelastic responses. The results show that the linear response does not have the difference between the two formulations. On the other hand, second-order quantities have different values for which the rigid body motion is relatively large. However, the total summation of second-order quantities has not shown a large difference at each reference coordinate system.

A Study on Model Reduction for Effective Analysis of Structure (구조물의 효율적인 해석을 위한 모델 축소기법 연구)

  • 박영창;황재혁;오화석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.1370-1375
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    • 2001
  • Substructure coupling or component mode synthesis may be employed in the solution of dynamic problems for structure. The model is partitioned into several subdomains. and a generalized Craig-Bampton representation is derived. In this paper the mode sets(normal modes. constraint modes) have been employed for model reduction. A generalized model reduction procedure has been described. Those reduction methods which adapt constraint modes have been described in detail. As examples. a flexible structure and a 10 DOF damped system are analyzed. Comparison with a conventional reduction method based on a complete model has been made via eigenpairs and dynamic responses.

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Enhanced generalized modeling method for compliant mechanisms: Multi-Compliant-Body matrix method

  • Lim, Hyunho;Choi, Young-Man
    • Structural Engineering and Mechanics
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    • v.82 no.4
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    • pp.503-515
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    • 2022
  • The multi-rigid-body matrix method (MRBMM) is a generalized modeling method for obtaining the displacements, forces, and dynamic characteristics of a compliant mechanism without performing inner-force analysis. The method discretizes a compliant mechanism of any type into flexure hinges and rigid bodies by implementing a multi-body mass-spring model using coordinate transformations in a matrix form. However, in this method, the deformations of bodies that are assumed to be rigid are inherently omitted. Consequently, it may yield erroneous results in certain mechanisms. In this paper, we present a multi-compliant-body matrix-method (MCBMM) that considers a rigid body as a compliant element, while retaining the generalized framework of the MRBMM. In the MCBMM, a rigid body in the MRBMM is segmented into a certain number of body nodes and flexure hinges. The proposed method was verified using two examples: the first (an XY positioning stage) demonstrated that the MCBMM outperforms the MRBMM in estimating the static deformation and dynamic mode. In the second example (a bridge-type displacement amplification mechanism), the MCBMM estimated the displacement amplification ratio more accurately than several previously proposed modeling methods.

Continuous Sliding Mode Control for Permanent Magnet Synchronous Motor Speed Regulation Systems Under Time-Varying Disturbances

  • Wang, Huiming;Li, Shihua;Yang, Jun;Zhou, XingPeng
    • Journal of Power Electronics
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    • v.16 no.4
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    • pp.1324-1335
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    • 2016
  • This article explores the speed regulation problem of permanent magnet synchronous motor (PMSM) systems subjected to unknown time-varying disturbances. A continuous sliding mode control (CSMC) technique is introduced for the speed loop to enhance the robustness of PMSM systems and eliminate the chattering phenomenon caused by high-frequency switch function in the conventional control law. However, the high control gain of the CSMC law in the presence of strong disturbances leads to large steady-state speed fluctuations for PMSM systems. In many application fields, PMSM systems are affected by time-varying disturbances instead of constant disturbances. For example, electric bicycles are usually affected by changing environmental disturbances, including wind speeds, road conditions, etc. These disturbances may be in the form of constant, ramp, and parabolic disturbances. Hence, a generalized proportional integral (GPI) observer is employed to estimate these types of disturbances. Then, the disturbance estimation method and the aforementioned CSMC method are combined to establish a composite sliding mode control method called the CSMC+GPI method for the speed loop of PMSM systems. Contrary to the conventional sliding mode control technique, the proposed method completely eliminates the chattering phenomenon caused by the switching function in the conventional control law. Moreover, a small control gain for the CSMC+GPI method is chosen by feed-forwarding estimated values to the speed controller. Hence, the steady-state speed fluctuations are small. The effectiveness of the proposed control scheme is verified by simulation and experimental result.

Analysis of Step Discontinuity of Rectangular Waveguides Using the Mode Matching Method (모드 정합법을 이용한 구형도파관의 불연속 경계면 해석)

  • 이민수;이상설
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.11
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    • pp.80-87
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    • 1993
  • In this paper, the fields of double-plane steps in rectangular waveduides are analyzed using the modified TE$_{mn}$$^{x}$ mode-matching method. The characteristics of rectangular waveguide having double-plane steps are investigated with accomdating the effects of higher-order modes generated by discontinuities. In comparison with the generalized TE$_{mn}$-TM$_{mn}$ mode analysis, the modified TE$_{mn}$$^{x}$ mode-matching method consumes less memory and CPU time and provides improved convergence behavior. The results obtained in this manner coinside with that of the TE$_{mn}$-TM$_{mn}$ mode-matching method.

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Generalized complex mode superposition approach for non-classically damped systems

  • Chen, Huating;Liu, Yanhui;Tan, Ping
    • Structural Engineering and Mechanics
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    • v.73 no.3
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    • pp.271-286
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    • 2020
  • Passive control technologies are commonly used in several areas to suppress structural vibrations by the addition of supplementary damping, and some modal damping may be heavy beyond critical damping even for regular structures with energy dissipation devices. The design of passive control structures is typically based on (complex) mode superposition approaches. However, the conventional mode superposition approach is predominantly applied to cases of under-critical damping. Moreover, when any modal damping ratio is equal or close to 1.0, the system becomes defective, i.e., a complete set of eigenvectors cannot be obtained such that some well-known algorithms for the quadratic eigenvalue problem are invalid. In this paper, a generalized complex mode superposition method that is suitable for under-critical, critical and over-critical damping is proposed and expressed in a unified form for structural displacement, velocity and acceleration responses. In the new method, the conventional algorithm for the eigenvalue problem is still valid, even though the system becomes defective due to critical modal damping. Based on the modal truncation error analysis, modal corrected methods for displacement and acceleration responses are developed to approximately consider the contribution of the truncated higher modes. Finally, the implementation of the proposed methods is presented through two numerical examples, and the effectiveness is investigated. The results also show that over-critically damped modes have a significant impact on structural responses. This study is a development of the original complex mode superposition method and can be applied well to dynamic analyses of non-classically damped systems.

Analysis of orthotropic plates by the two-dimensional generalized FIT method

  • Zhang, Jinghui;Ullah, Salamat;Gao, Yuanyuan;Avcar, Mehmet;Civalek, Omer
    • Computers and Concrete
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    • v.26 no.5
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    • pp.421-427
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    • 2020
  • In this study, the two-dimensional generalized finite integral transform(FIT) approach was extended for new accurate thermal buckling analysis of fully clamped orthotropic thin plates. Clamped-clamped beam functions, which can automatically satisfy boundary conditions of the plate and orthogonality as an integral kernel to construct generalized integral transform pairs, are adopted. Through performing the transformation, the governing thermal buckling equation can be directly changed into solving linear algebraic equations, which reduces the complexity of the encountered mathematical problems and provides a more efficient solution. The obtained analytical thermal buckling solutions, including critical temperatures and mode shapes, match well with the finite element method (FEM) results, which verifies the precision and validity of the employed approach.

Generalized Scattering Matrix of Multi-port($2{\times}2$port, 1port) Rectangular Waveguide Using $TE^z_{mn}$ Mode Matching Method ($TE^z_{mn}$ 모드정합법을 이용한 다중포트($2{\times}2$포트, 1포트) 직사각형 도파관의 일반화 산란행렬 추출)

  • Lee, J.K.;Mun, S.Y.;Park, K.U.;Heo, Y.K.;Cho, Y.K.
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2003.11a
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    • pp.79-83
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    • 2003
  • Multi-port($2{\times}2$port, 1port) rectangular waveguide discontinuity problem has been analyzed by use of $TE^x_{mn}$ (mono)mode matching method. Matrix size can be reduced significantly in comparison with $TE_{mn}&TM_{mn}$(full-wave)mode matching method. the present results is compared with those by CST MicroWave Studio to validate the presint method.

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Adaptation Mode Controller for Adaptive Microphone Array System (마이크로폰 어레이를 위한 적응 모드 컨트롤러)

  • Jung Yang-Won;Kang Hong-Goo;Lee Chungyong;Hwang Youngsoo;Youn Dae Hee
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.11C
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    • pp.1573-1580
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    • 2004
  • In this paper, an adaptation mode controller for adaptive microphone array system is proposed for high-quality speech acquisition in real environments. To ensure proper adaptation of the adaptive array algorithm, the proposed adaptation mode controller uses not only temporal information, but also spatial information. The proposed adaptation mode controller is constructed with two processing stages: an initialization stage and a running stage. In the initialization stage, a sound source localization technique is adopted, and a signal correlation characteristic is used in the running stage. For the adaptive may algorithm, a generalized sidelobe canceller with an adaptive blocking matrix is used. The proposed adaptation mode controller can be used even when the adaptive blocking matrix is not adapted, and is much stable than the power ratio method. The proposed algorithm is evaluated in real environment, and simulation results show 13dB SINR improvement with the speaker sitting 2m distance from the may.