• 제목/요약/키워드: eigenvalue ratio

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접합부 강성변화를 고려한 단층 래티스 돔의 좌굴해석 (Buckling Analysis for Single Layer Latticed Domes considering the Change of Joint Rigidity)

  • 이후진;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.337-344
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    • 2001
  • This paper is concerned with the change of joint rigidity in estimating the degree of semi-rigidity of connections and the buckling load in a single layer latticed dome. The estimations are based on information about the ratio for the rotational stiffness of the connection to the flexural stiffness of the member and the minimum eigenvalue of a structure for pinned, semi-rigid and completely rigid cases, respectively. Connection characteristics are reflected in the ratio control of joint rigidity for the DOFs to be related using the spring element by FEM.

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플랜지형 벽체 효과를 고려한 철근 콘크리트 전단벽 구조물의 고유주기식 (Natural Period Formula of a Reinforced Concrete Shear Wall Structure Considering Flange Wall Effect)

  • 노지은;김중호;허무원;박태원;이상현
    • 한국지진공학회논문집
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    • 제22권2호
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    • pp.55-62
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    • 2018
  • In this study, natural period formular is presented for a RC shear wall structure with H-, T-, and L-shaped wall sections. The natural period formular proposed by Goel and Chopra and adopted in ASCE 7-10 was modified by using the ratio of the flange and web wall area. The natural periods of structures with H-shaped wall were numerically obtained, the results indicated that the ASCE 7-10 could not consider the natural period variation according to the length of the flange wall, but the proposed formula could do. Especially, ASCE 7-10 estimated much longer periods than eigenvalue analysis, and this implies that conservative seismic design is difficult. The periods by eigenvalue analysis exist between the upper and lower bounds given by the proposed formula, and conservative design is possible by using the proposed lower bound value. In order to verity the effectiveness of the proposed method, actual residential buildings with various types of flange walls are considered. Ambient vibration tests, eigenvalue analyses, and nonlinear dynamic analyses were conducted and the periods were compared with the values by ASCE 7-10 and the proposed formula. The results showed that the proposed formula could estimate more accurately the periods than ASCE 7-10.

On the dynamics of rotating, tapered, visco-elastic beams with a heavy tip mass

  • Zeren, Serkan;Gurgoze, Metin
    • Structural Engineering and Mechanics
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    • 제45권1호
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    • pp.69-93
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    • 2013
  • The present study deals with the dynamics of the flapwise (out-of-plane) vibrations of a rotating, internally damped (Kelvin-Voigt model) tapered Bernoulli-Euler beam carrying a heavy tip mass. The centroid of the tip mass is offset from the free end of the beam and is located along its extended axis. The equation of motion and the corresponding boundary conditions are derived via the Hamilton's Principle, leading to a differential eigenvalue problem. Afterwards, this eigenvalue problem is solved by using Frobenius Method of solution in power series. The resulting characteristic equation is then solved numerically. The numerical results are tabulated for a variety of nondimensional rotational speed, tip mass, tip mass offset, mass moment of inertia, internal damping parameter, hub radius and taper ratio. These are compared with the results of a conventional finite element modeling as well, and excellent agreement is obtained.

단층 래티스 돔의 기하학적 비선형 좌굴하중 추정에 관한 연구 (A Study on the Presumption of Geometrically Nonlinear Buckling Load of the Single Layer Latticed Dome)

  • 이정현;이상주;이진섭;최일섭;한상을
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2005년도 춘계학술발표회 및 정기총회 2권1호(통권2호)
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    • pp.147-153
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    • 2005
  • The single layer latticed dome is very sensitive on the slenderness ratio and half open angle of the elements, load condition, and the connection type because it is originazed by a lot of thin elements, so we have to use the geometrically nonlinear buckling load when the buckling of the structures is analyzed. But, it is very difficult to design the single layer latticed domes considered all conditions. Therefore the purpose of this paper is to propose the appropriate design method of the single layer latticed dome considered the geometrically nonlinear buckling load in base of the linear buckling load by the eigenvalue analysis.

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유용방향법에 의한 고유진동수 최적화 (Frequency Optimization Using by Feasible Direction Method)

  • 조희근;박영원
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 추계학술대회논문집 - 한국공작기계학회
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    • pp.410-415
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    • 2000
  • In this paper feasible direction method which is one of the optimization method is adopted to natural frequency optimization. In order to find the optimum design of structures that have characteristic natural frequency range, a numerical optimization method to solving eigenvalue problems is a widely used approach. However most cases, it is difficult to decide the accurate thickness and shape of structures that have allowable natural frequency in design constraints. Parallel analysis algorithm involving the feasible direction optimization method and Rayleight-Ritz eigenvalue solving method is developed. The method is implemented by using finite element method. It calculated the optimal thickness and the thickness ratio of each element of 2-D plane element through the parallel algorithm method which satisfy the design constraint of natural frequency.

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A CORDIC-Jacobi Based Spectrum Sensing Algorithm For Cognitive Radio

  • Tan, Xiaobo;Zhang, Hang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제6권9호
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    • pp.1998-2016
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    • 2012
  • Reliable spectrum sensing algorithm is a fundamental component in cognitive radio. In this paper, a non-cooperative spectrum sensing algorithm which needs only one cognitive radio node named CORDIC (Coordinate Rotation Digital Computer) Jacobi based method is proposed. The algorithm computes the eigenvalues of the sampled covariance of received signal mainly by shift and additional operations, which is suitable for hardware implementation. Based the latest random matrix theory (RMT) about the distribution of the limiting maximum and minimum eigenvalue ratio, the relationship between the probability of false alarm and the decision threshold is derived. Simulations and discussions show the method is effective. Real captured digital television (DTV) signals and Universal Software Radio Peripheral (USRP) are also employed to evaluate the performance of the algorithm, which prove the proposed algorithm can be applied in practical spectrum sensing applications.

Nonlinear free vibration analysis of moderately thick viscoelastic plates with various geometrical properties

  • Nasrin Jafari;Mojtaba Azhari
    • Steel and Composite Structures
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    • 제48권3호
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    • pp.293-303
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    • 2023
  • In this paper, geometrically nonlinear free vibration analysis of Mindlin viscoelastic plates with various geometrical and material properties is studied based on the Von-Karman assumptions. A novel solution is proposed in which the nonlinear frequencies of time-dependent plates are predicted according to the nonlinear frequencies of plates not dependent on time. This method greatly reduces the cost of calculations. The viscoelastic properties obey the Boltzmann integral law with constant bulk modulus. The SHPC meshfree method is employed for spatial discretization. The Laplace transformation is used to convert equations from the time domain to the Laplace domain and vice versa. Solving the nonlinear complex eigenvalue problem in the Laplace-Carson domain numerically, the nonlinear frequencies, the nonlinear viscous damping frequencies, and the nonlinear damping ratios are verified and calculated for rectangular, skew, trapezoidal and circular plates with different boundary conditions and different material properties.

성능기반설계에 기초한 성능영향인자 변화에 따른 기둥의 거동분석 (Behavior of Columns Due to Variation of Performance Influencing Factors Based on Performance Based Design)

  • 윤성환;최민철;강윤식;박대효
    • 콘크리트학회논문집
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    • 제22권4호
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    • pp.489-498
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    • 2010
  • 철근 콘크리트 구조물의 명확한 성능평가를 수행하기 위해 재료 및 구조적 특성이 구조물에 미치는 영향에 대한 분석이 필요하다. 구조물의 성능에 영향을 미치는 성능영향인자는 구조물의 재료적 특성인 콘크리트 강도, 종방향주철근, 횡구속 철근, 구조적 특성인 형상비, 축하중에 대하여 총 5가지로 정의하였다. 각각의 성능영향인자 변화에 따른 고유치 해석과 비선형 정적해석을 수행하여 각각의 성능영향인자들이 구조물의 항복 변위와 항복 기저전단력 및 연성비의 정적성능에 미치는 영향을 분석하였다. 또한 비선형 정적해석의 결과를 이용하여 FEMA-440에서 제안된 수정된 능력스펙트럼법을 이용하여 성능평가를 수행하였고, 이에 따라 구조물의 성능점을 도출하였으며 각각의 성능영향인자가 미치는 영향을 분석하였다. 성능영향인자 변화에 따른 해석 결과, 고유치해석과 비선형 정적해석의 따른 고유주기와 연성비는 구조적 특성이 재료적 특성에 비해 구조물에 더 큰 영향을 미치는 것으로 나타났고, 그 중 형상비의 영향이 가장 크게 작용하였으며, 수정된 능력스펙트럼법을 이용한 성능평가 결과, 고유주기와 연성비와 마찬가지로 구조적 특성 중 형상비의 영향이 가장 크게 작용하였다.

상부 돔구조와 하부구조간의 고유진동수비에 따른 동적응답특성 (Dynamic Response Property according to Natural Frequency Ratio between Dome Structure and Substructure)

  • 이영락;김광일;강주원
    • 한국공간구조학회논문집
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    • 제15권2호
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    • pp.113-120
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    • 2015
  • This study investigate the dynamic response changes of rib dome structure according to property changes of Substructure. Eigenvalue analysis is conducted in first natural frequency of rib dome versus substructure and searched in the dominant mode of horizontal and vertical direction. Resonance frequency by each first natural frequency of the rib dome structure, substructure and total structure is applied for a seismic wave. That is analyzed about maximum displacement response ratio and maximum acceleration response ratio.

하부구조의 고유진동수비에 따른 래티스돔의 동적응답특성에 관한 연구 (A Study on Dynamic Response Property of Latticed Domes according to Natural Frequency Ratio of Substructure)

  • 이영락;석근영;강주원
    • 한국공간구조학회논문집
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    • 제16권3호
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    • pp.59-66
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    • 2016
  • This study analyze the dynamic response property of latticed domes according to natural frequency ratio of substructure. Through eigenvalue analysis, it is was confirmed that the half-open angle $30^{\circ}$ and $45^{\circ}$ dominate vibration mode of the vertical direction and the half-open angle $60^{\circ}$ and $90^{\circ}$ dominate vibration mode of the horizontal direction. Through the dynamic response analysis, it is was confirmed that the first frequency about total structure largely appears about the vertical and the horizontal direction regardless of half-open angle.