• Title/Summary/Keyword: coupling matrix

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Free vibration analysis of multiple open-edge cracked beams by component mode synthesis

  • Kisa, M.;Brandon, J.A.
    • Structural Engineering and Mechanics
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    • v.10 no.1
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    • pp.81-92
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    • 2000
  • This study is an investigation of the effect of cracks on the dynamical characteristics of a cantilever beam, having multiple open-edge transverse cracks. The flexibilities due to crack have been identified for several crack depths and locations. In the study the finite element method and component mode synthesis methods are used. Coupling the components is performed by a flexibility matrix taking into account the interaction forces. Each component is modelled by cantilever beam finite elements with two nodes and three degrees of freedom at each node. The results obtained lead to conclusion that, by using the drop in the natural frequencies and the change in the mode shapes, the presence and nature of cracks in a structure can be detected. There is some counter-evidence, however, that the effects due to multiple cracks may interact to make detection more difficult than for isolated cracks.

The Coupling Analysis of Electromagnetic Wave to Transmission Line using Nonhomogeneous Differential Equations (비동차 미분방정식을 이용한 외부 전자파에 의한 전송선로 결합해석)

  • 이기철;명성호
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.1 no.1
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    • pp.20-27
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    • 1990
  • This paper presents an efficient method to estimate the induced current by the external electromagnetic wave when the line system is composed of cascaded transmission lines. To solve this phenomena, we apply the state variable method to the nonhomogeneous differential equation. This new method is the way of transferring the sources at a different point by the Ch- aracteristics of the transition matrix. Using this method, we investigate the characteristics of the induced power of the transmission line above the perfectly conducting ground plane.

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The Coupling Analysis of Electromagnetic Wave to Transmission Line using Nonhomogeneous Differential Equations (비동차 미분 방정식을 이용한 외부전자파에 의한 전송선로 결합 해석)

  • Myung, Sung-Ho;Lee, Ki-Chul
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.552-556
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    • 1989
  • The line equations can be expressed by a set of nonhomogeneous differential equation where forcing terms of these equations have been adopted. Equivalent-circuit representations of this paper are derived from solutions of the equations. The contribution of the external wave to the line is expressed in terms of ideal sources in the form of a cascade connection to the line. These representations art conveniently applicable to the various types of transmission lines because these Lines can often be written in the form of a chain matrix.

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Applicatio of Finite Element and Boundary Element Methods to Predict Steady-State Response of a Structure-Acoustic-Cavity System (구조-음향계의 정상상태 응답예측을 위한 유한요소법과 경계요소법의 응용)

  • Lee, Cang-Myung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1383-1391
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    • 1996
  • The steady-state response for a coupled structure-acoustic-cavity systme has been investigated by numerical technique using a directly coupled finite element method(FEM) and Boundary Element Method(BEM) model. The Laplace tranformed matrix equations for the structure and the acoustic cavity are coupled directly satisfying the necessary equilibrium and compatibility conditions. The coupled FEM-BEM code is verified by comparing its prediction for an example with known analytical, numerical and experimental results. The example involves a coupled structure-acoustic-cavity system which is a box-type cavity with one end as experimentally excited pinned-pinned plate.

Effects of a Moving Mass on the Dynamic Behavior of Cantilever Beams with Double Cracks

  • Son, In-Soo;Cho, Jeong-Rae;Yoon, Han-Ik
    • International Journal of Precision Engineering and Manufacturing
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    • v.9 no.3
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    • pp.33-39
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    • 2008
  • The effects of a double crack and tip masses on the dynamic behavior of cantilever beams with a moving mass are studied using numerical methods. The cantilever beams are modeled by applying Euler-Bernoulli beam theory. The cracked sections are represented by a local flexibility matrix connecting three undamaged beam segments. The influences of the crack, moving mass, and tip mass, and the coupling of these factors on the vibration mode and the frequencies of the double-cracked cantilever beams are determined analytically. The methodology provides a basis for analyzing the dynamic behavior of a beam with an arbitrary number of cracks and a moving mass.

Radiation power estimation for the planar array acoustic sensor considering mutual coupling effects (상호간섭영향을 고려한 평면배열형 음향센서의 방사출력 예측)

  • Lee, Jong-Kil;Seo, In-Chang
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.3
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    • pp.194-199
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    • 1996
  • 평면 배열형 소나 센서에서는 트랜스듀서 상호간의 간섭효과들이 음을 방사하는 각각의 트랜스듀서 및 평면 배열의 빔패턴에 영향을 주게된다. 따라서 음향 방사출력의 계산은 소나용 트랜스듀서의 성능및 효율을 평가하는데 필수적이다. 음향 방사출력을 예측하기 위하여 무한 강성 배플에 고정된 수개의 트랜스듀서를 이론해석의 대상으로 설정하였다. 각 트랜스듀서는 자기방사 임피던스 및 상호방사 임피던스로 구성되어 있으며 이것의 총 방사 임피던스 및 음향반사 출력의 추출은 등가 전기회로 모델을 이용하였다. 이론및 수치해석의 결과에 근거하여 음향방사 출력은 각 트랜스듀서 상호간의 간섭의 양에 의존함을 보였으며 상호간섭에 의한 음향출력 손실은 25.05%에서 최고 51.52%정도임을 확인하였다.

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Exact Free Vibration Analysis of Straight Thin-walled Straight Beams (직선 박벽보에 대한 엄밀한 자유진동해석)

  • 김문영;윤희택;나성훈
    • Proceedings of the KSR Conference
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    • 2000.11a
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    • pp.358-365
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    • 2000
  • For the general case of loading conditions and boundary conditions, it is very difficult to obtain closed form solutions for buckling loads and natural frequencies of thin-walled structures because its behaviour is very complex due to the coupling effect of bending and torsional behaviour. In consequence, most of previous finite element formulations are introduce approximate displacement fields to use shape functions as Hermitian polynomials, and so on. The Purpose of this study is to presents a consistent derivation of exact dynamic stiffness matrices of thin-walled straight beams, to be used ill tile free vibration analysis, in which almost types of boundary conditions are exist An exact dynamic element stiffness matrix is established from governing equations for a uniform beam element of nonsymmetric thin-walled cross section. This numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. The natural frequency is evaluated for the thin-walled straight beam structure, and the results are compared with analytic solutions in order to verify the accuracy of this study.

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A study on the Analysis of Dynamic Characteristic for Nonlinear Rotor-Housing Systems (비선형 로터-하우싱 시스템의 동특성 해석 연구)

  • Kim, G.G.;Lim, J.H.;Chung, I.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.2
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    • pp.69-78
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    • 1995
  • Nonlinear analysis methods are developed which will enable the reliable prediction of the dynamic behavior of the space shuttle main engine(SSME) turbopumps in the presence of bearing clearances and other local nonlinearities. A computationally efficient convolution method, based on discretized Duhamel and transition matrix integral formulations, is developed for the transient analysis. In the formulation, the coupling forces due to the onlinearities are treated as external forces acting on the coupled subsystems. Iteration is utilized to determine their magnitudes at each time increament. The method is applied to a nonlinear generic model of the high pressure oxygen turthods, the convolution approach proved to be more accurate and highly more efficient. For determining the nonlinear, steady-state periodic responses, an incremental harmonic balance(IHB) method was also developed. The method was successfully used to determine dominantly harmonic and subharmonic(subsynchronous) responses of the HPOTP generic model with bearing clearances. A reduction method similar to the impedance formulation utilized with linear systems is used to reduce the housing-totor models to their coordinates at the bearing clearances.

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AC Loss Characteristics of Multifilamentary HTS Tapes

  • Amemiya, Naoyuki
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
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    • 2000.02a
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    • pp.69-72
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    • 2000
  • AC losses in multifilamentary HTS tapes can be classified to hysteresis loss, coupling loss, and eddy current loss from the viewpoint of their generation mechanism. From the viewpoint of the major magnetic field component generating them, they can be classified to magnetization loss, transport loss, and total loss. Dividing superconductor to fine filaments, twisting filaments bundle and increasing transverse resistivity are effectively reduce magnetization loss and total loss when the external magnetic field is relatively large. Recently, twisted multifilamentary Bi 2223 tapes with pure silver matrix were fabricated and the reduction of magnetization loss was proved experimentally in the parallel magnetic field to the tape wide face. However, when the perpendicular magnetic field is applied, increasing transverse resistivity is required essentially to reduce the AC losses. The transverse resistivity was increased successfully by the introduction of resistive barrier between filaments.

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Development and Characteristics of a New Insulator between Turns of Superconducting Coil (초전도 Coil의 새로운 turn간 절연재료의 개발 및 특성)

  • 박영욱;이동성;이정원;곽동순;김상현
    • Progress in Superconductivity and Cryogenics
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    • v.4 no.1
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    • pp.26-29
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    • 2002
  • Polyimide-epoxysilane (coupling agent) composites were reacted with oligomeric PDMS, a condensation product of difunctional silane, by a sol-gel process and were then dried into films. And then, the surface, mechanical, and electric properties were measured. The study showed that PDMS existed in the polymide matrix by the use of FT-IR. In the mechanical properties, the maximum elongation and toughness was increased in the polyimide with silane-groups. But the maximum tensile strength was slightly decreased. And the intensive dispersion of the silane-groups on the surface of polyimide was ascertained through XPS measurement. In the electric properties. AC break down voltage was increased by increasing the amount of difunctional silane. This experiment showed that PDMS added polyimide had better mechanical and electric properties than classical materials.