• 제목/요약/키워드: eigenvalue ratio

검색결과 120건 처리시간 0.026초

Damping of a taut cable with two attached high damping rubber dampers

  • Cu, Viet Hung;Han, Bing;Wang, Fang
    • Structural Engineering and Mechanics
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    • 제55권6호
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    • pp.1261-1278
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    • 2015
  • Due to their low intrinsic damping, stay cables in cable-stayed bridges have often exhibited unanticipated and excessive vibrations which result in increasing maintenance frequency and disruption to normal operations of the entire bridges. Mitigation of undesired cable vibration can be achieved by attaching an external damping device near the anchorage. High Damping Rubber (HDR) dampers have many advantages such as compact size, better aesthetics, easy maintenance, temperature stability, and cost benefits; therefore, they have been widely used to increase cable damping. Although a single damper has been shown to reduce cable vibrations, it is not the most effective method due to geometric constraints. This paper proposes the use of two HDR dampers to improve effectiveness and robustness in suppressing cable vibration. Oscillation parameters of the cable-dampers system were investigated in detail by modeling the stay cable as a taut string and each HDR damper as complex-valued impedance and by using an analytical formulation of the complex eigenvalue problem. The problem of two HDR dampers arbitrarily located along a cable is solved and the solution is discussed. Asymptotic formulas to calculate the damping ratios of the cable with two HDR dampers installed near the anchorage(s) are proposed and compared with the exact solutions. Further, a design example is presented in order to justify the methodology. The results of this study show that when the two HDR dampers are installed close to each other on the same end of the cable, some interaction between the dampers leads to reduced damping ratio. When the dampers are on the opposite ends of the cable, they are effective in increasing damping ratio and can provide better vibration reduction to multiple modes.

고유치 확산된 간섭 신호 제거를 위한 AGC를 이용한 Applebaum 어레이 (An Applebaum Array Adopting an AGC for the Rejection of Eigenvalue Spreaded Interferences)

  • 이규만;한동석;조명제
    • 대한전자공학회논문지SP
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    • 제37권2호
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    • pp.60-67
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    • 2000
  • 기존의 적응 어레이 시스템은 입력 신호에 고유치의 최대 값과 최소 값의 차이가 큰 다중 간섭 신호가 입사될 경우에 모든 간섭 신호를 제거하지 못하는 결정적인 문제점을 가지고 있다 본 논문에서는 기존의 Applebaum 어레이의 출력부에 자동이득조절장치를 부착한 어레이 시스템을 제안한다 고유치가 확산된 신호가 입사될 경우, 신호 전력이 큰 간섭 신호는 수 회 반복 수렴 후에 쉽게 제거되고 어레이 출력에는 고유치 확산의 원인이 되는 상대적으로 낮은 전력의 간섭 신호만 존재하게 된다 이 때 자동이득조절장치가 출력에 잔존해 있는 낮은 전력의 간섭 선호를 순간적으로 증폭시켜 입력의 저전력의 간섭 신호와 출력 신호 사이의 상관값을 높여서 가중치 벡터가 적응하도록 한다 컴퓨터 모의 실험 결과 제안한 모델에서는 이러한 고유치 확산 문제를 해결하여 다중 간섭 신호 환경에서 어레이 출력의 높은 신호 대 잡음비와 빠른 수렴 속도를 얻을 수 있었다.

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Free vibration analysis of a non-uniform beam with multiple point masses

  • Wu, Jong-Shyong;Hsieh, Mang
    • Structural Engineering and Mechanics
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    • 제9권5호
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    • pp.449-467
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    • 2000
  • The natural frequencies and the corresponding mode shapes of a non-uniform beam carrying multiple point masses are determined by using the analytical-and-numerical-combined method. To confirm the reliability of the last approach, all the presented results are compared with those obtained from the existing literature or the conventional finite element method and close agreement is achieved. For a "uniform" beam, the natural frequencies and mode shapes of the "clamped-hinged" beam are exactly equal to those of the "hinged-clamped" beam so that one eigenvalue equation is available for two boundary conditions, but this is not true for a "non-uniform" beam. To improve this drawback, a simple transformation function ${\varphi}({\xi})=(e+{\xi}{\alpha})^2$ is presented. Where ${\xi}=x/L$ is the ratio of the axial coordinate x to the beam length L, ${\alpha}$ is a taper constant for the non-uniform beam, e=1.0 for "positive" taper and e=1.0+$|{\alpha}|$ for "negative" taper (where $|{\alpha}|$ is the absolute value of ${\alpha}$). Based on the last function, the eigenvalue equation for a non-uniform beam with "positive" taper (with increasingly varying stiffness) is also available for that with "negative" taper (with decreasingly varying stiffness) so that half of the effort may be saved. For the purpose of comparison, the eigenvalue equations for a positively-tapered beam with five types of boundary conditions are derived. Besides, a general expression for the "normal" mode shapes of the non-uniform beam is also presented.

Impulse response shortening for DFE in single-carrier wideband transceivers

  • Cho, Nam-Jung;Lee, Yong-Hwan
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -3
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    • pp.1920-1923
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    • 2002
  • This paper proposes an impulse response shortening algorithm applicable to decision feedback equalization of single carrier wideband signal. When he impulse response shortening methods for narrowband signaling are applied to single carrier wideband signals, they result in noise enhancement problem, significantly deterioriting the receiver performance. This problem can be alleviated by educing the eigenvalue spread ratio of the impulse response, which can be achieved by adding additive white noise with small variance to the impulse response of the channel. The performance of the proposed scheme is verified by computer simulation.

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바이어스항이 있는 GBAM 모델을 이용한 양방향 연상메모리 구현 (Implementation of Bidirectional Associative Memories Using the GBAM Model with Bias Terms)

  • 임채환;박주영
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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    • pp.69-72
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    • 2001
  • In this paper, we propose a new design method for bidirectional associative memories model with high error correction ratio. We extend the conventional GBAM model using bias terms and formulate a design procedure in the form of a constrained optimization problem. The constrained optimization problem is then transformed into a GEVP(generalized eigenvalue problem), which can be efficiently solved by recently developed interior point methods. The effectiveness of the proposed approach is illustrated by a example.

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An Escalator Structure-Based Adaptation Algorithm for Channel Equalization with Eigenvalue Spread-Independency

  • Kim, Nam-Yong
    • Journal of electromagnetic engineering and science
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    • 제4권2호
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    • pp.93-96
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    • 2004
  • In this paper we introduce a new escalator(ESC) structure-based adaptation algorithm. The proposed algorithm is independent of eigenvalues spread ratio(ESR) of channel and has faster convergence speed than that of the conventional ESC algorithms. This algorithm combines the fast adaptation ability of least square methods and the orthogonalization property of the ESC structure. From the simulation results the proposed algorithm shows superior convergence speed and no slowing down of convergence speed when we increase the ESR of the channel.

단층 래티스 돔의 좌굴하중 산정식에 관한 연구 (A Study on the Bucking Load Formulae for the Single Layer Latticed Dome)

  • 한상을;양재근;이상주;이정현
    • 한국공간구조학회논문집
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    • 제6권1호
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    • pp.75-82
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    • 2006
  • 단층 래티스 돔은 작은 단면의 선 부재 조합으로 전체구조물이 구성되는 특성상 구성부재의 세장비, 부재 반개각 하중조건, 접합부 특성 등에 매우 큰 영향을 받으므로, 비선형 좌굴해석에 의한 좌굴하중을 사용해야 하지만 여러 가지 현실적 제약이나 문제점 등에 의해 이러한 것이 제대로 반영되지 않은 설계가 이루어지고 있다. 이러한 이유로 돔 구조물의 설계 시 부재의 과다 설계, 자유로운 형상 설계의 제약 등의 문제점들이 나타나는 것이 지금의 현실이다. 따라서 이 논문의 목적은 위에서 언급된 문제점을 해결하기 위하여 고유치 해석을 통한 선형 좌굴해석에 기초한 비선형 좌굴하중을 예측하고 이를 이용함으로서 보다 효과적인 설계를 가능케 하는 설계식을 제안하는 데 있다.

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Free vibration of conical shell frusta of variable thickness with fluid interaction

  • M.D. Nurul Izyan;K.K. Viswanathan;D.S. Sankar;A.K. Nor Hafizah
    • Structural Engineering and Mechanics
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    • 제90권6호
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    • pp.601-610
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    • 2024
  • Free vibration of layered conical shell frusta of thickness filled with fluid is investigated. The shell is made up of isotropic or specially orthotropic materials. Three types of thickness variations are considered, namely linear, exponential and sinusoidal along the radial direction of the conical shell structure. The equations of motion of the conical shell frusta are formulated using Love's first approximation theory along with the fluid interaction. Velocity potential and Bernoulli's equations have been applied for the expression of the pressure of the fluid. The fluid is assumed to be incompressible, inviscid and quiescent. The governing equations are modified by applying the separable form to the displacement functions and then it is obtained a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by cubic and quintics splines along with the boundary conditions to get generalized eigenvalue problem. The generalized eigenvalue problem is solved numerically for frequency parameters and then associated eigenvectors are calculated which are spline coefficients. The vibration of the shells with the effect of fluid is analyzed for finding the frequency parameters against the cone angle, length ratio, relative layer thickness, number of layers, stacking sequence, boundary conditions, linear, exponential and sinusoidal thickness variations and then results are presented in terms of tables and graphs.

국내 석탑의 강성, 고유진동수 및 감쇠비에 관한 연구 (Study on the Joint Stiffness, Natural Frequency and Damping Ratio of Stone Pagodas in Korea)

  • 이성민;최희수;이기학;이찬희;조영훈
    • 한국공간구조학회논문집
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    • 제18권1호
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    • pp.45-53
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    • 2018
  • Following the earthquake that shook the city of Gyeongju, Korea, in 2016, it became apparent that research on the safety of cultural heritages against the seismic hazards is necessary in Korea. Predictions of how historically significant stone pagodas would behave the earthquakes anticipated in near future, which are the subject of this study, is also required. In this study, the dynamic characteristics of 15 cultural heritage designated stone pagodas of Korea were investigated, including natural frequency and damping ratio, and the stiffness of the stone material and its contact area were determined using eigenvalue analysis by assuming the stone pagodas to be multi-degree-of-freedom structures. The results of this study enable the structural modeling of stone pagodas using a finite element analysis program and the method is expected to be useful in assessing the structural safety of stone pagodas against vertical loads as well as lateral forces, including earthquakes. Also, by identifying the dynamic characteristics of the structures, the results of this study can be utilized as a nondestructive testing method to determine the rigidity of cultural heritage structures and to identify inherent problems. The natural frequencies of the Korean stone pagodas were measured to be within 3.5~8.3Hz, excluding cases with distinct natural frequency results, and it was determined that the natural frequencies of the stone pagodas are influenced by various parameters including the height and joint stiffness of the structures.

Buckling characteristics and static studies of multilayered magneto-electro-elastic plate

  • Kiran, M.C.;Kattimani, S.C.
    • Structural Engineering and Mechanics
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    • 제64권6권
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    • pp.751-763
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    • 2017
  • This article deals with the buckling behaviour of multilayered magneto-electro-elastic (MEE) plate subjected to uniaxial and biaxial compressive (in-plane) loads. The constitutive equations of MEE material are used to derive a finite element (FE) formulation involving the coupling between electric, magnetic and elastic fields. The displacement field corresponding to first order shear deformation theory (FSDT) has been employed. The in-plane stress distribution within the MEE plate existing due to the enacted force is considered to be equivalent to the applied in-plane compressive load in the pre-buckling range. The same stress distribution is used to derive the potential energy functional. The non-dimensional critical buckling load is accomplished from the solution of allied linear eigenvalue problem. Influence of stacking sequence, span to thickness ratio, aspect ratio, load factor and boundary condition on critical buckling load and their corresponding mode shape is investigated. In addition, static deflection of MEE plate under the sinusoidal and the uniformly distributed load has been studied for different stacking sequences and boundary conditions.