• 제목/요약/키워드: Mode summation method

검색결과 29건 처리시간 0.023초

Dynamic Behaviors of an Elastically Restrained Beam Carrying a Moving Mass

  • Ryu, Bong-Jo;Lee, Jong-Won;Yim, Kyung-Bin;Yoon, Young-Sik
    • Journal of Mechanical Science and Technology
    • /
    • 제20권9호
    • /
    • pp.1382-1389
    • /
    • 2006
  • Dynamic responses of a simply supported beam with a translational spring carrying a moving mass are studied. Governing equations of motion including all the inertia effects of a moving mass are derived by employing the Galerkin's mode summation method, and solved by using the Runge-Kutta integral method. Numerical solutions for dynamic responses of a beam are obtained for various cases by changing parameters of the spring stiffness, the spring position, the mass ratio and the velocity ratio of a moving mass. Some experiments are conducted to verify the numerical results obtained. Experimental results for the dynamic responses of the test beam have a good agreement with numerical ones.

불균일 단면을 갖는 단순지지 보의 모달해석 및 실험 (Modal Analysis and Experiment of a Simply-supported Beam with Non-uniform Cross Sections)

  • 김인우;유봉조;김영식
    • 한국산학기술학회논문지
    • /
    • 제16권12호
    • /
    • pp.8654-8664
    • /
    • 2015
  • 기계, 건축, 토목공학 분야 등에는 불균일 단면을 갖는 보 형태의 구조물들이 널리 사용되고 있다. 본 논문은 양단이 단순 지지된 보 구조물들의 동특성과 진동에 대한 문제를 다루며, 국부좌표를 사용한 지배방정식이 유도된다. 갤러킨의 모드합 방법으로 해가 가정되고, 고유진동수를 구하는 행렬식을 푸는 데는 이분법을 적용하였다. 유한요소법이 단지 기하학적 경계조건만을 만족시키는 허용함수를 사용하는 반면, 본 논문에서는 갤러킨의 모드합 방법을 적용하여, 지배방정식과 경계조건을 모두 만족하는 고유함수를 사용하였다. 계의 동특성을 알기위해, 네 종류의 불균일 단면을 갖는 단순 지지 보에 대해 모달 해석과 시험이 수행되었으며, 해석 결과는 실험 결과와 근사한 일치를 나타내었다.

균일 현의 초기조건에 의한 진동 현상 (Free Vibration Characteristics of a Uniform String Due to Initial Conditions)

  • 김영중;이현엽
    • 대한조선학회논문집
    • /
    • 제49권2호
    • /
    • pp.146-150
    • /
    • 2012
  • Free vibrations of strings due to initial conditions have been analyzed by the conventional mode summation method, and the nondimensionalized displacements and velocities have been derived in the form of infinite series. The results show wave propagating phenomena and confirmed by experiments using the high speed camera. Other physical characteristics have been discussed and examined with help of waveform solutions.

Enhanced impact echo frequency peak by time domain summation of signals with different source receiver spacing

  • Ryden, Nils
    • Smart Structures and Systems
    • /
    • 제17권1호
    • /
    • pp.59-72
    • /
    • 2016
  • The Impact Echo method can be used to measure the thickness of concrete plate like structures. Measurements are based on the identification of a clear thickness resonance frequency which can be difficult in very thick or highly attenuative plates. In this study the detectability of the measured resonant frequency is enhanced by time domain summation of signals with different source receiver spacing. The proposed method is based on the spatial and temporal properties of the first higher symmetric zero group velocity Lamb mode (S1-ZGV) which are described in detail. No application dependent tuning or filtering is needed which makes the method robust and suitable for implementation in automatic IE thickness measurements. The proposed technique is exemplified with numerical data and field data from a thick concrete wall and a highly attenuative asphalt concrete layer.

다층 케이블 돔형 구조물의 자기평형을 위한 부재력 비율 결정 (Determination of Member Force Ratios for Self-equilibrium State of Multi-Layered Cable Dome Type Structures)

  • 김재열
    • 한국공간구조학회논문집
    • /
    • 제13권2호
    • /
    • pp.75-82
    • /
    • 2013
  • For each cable component in a cable dome structure, pre-tension is needed for stability of whole the structure. The summation of these pre-tension at each joint should be zero to achieve the self equilibrium structure. The first step in cable dome structure analysis is to find the ratio of pre-tension in each member which can produce a stable and structure on self-equilibrium. In this paper, a new method based on the basic principle of closed force polygon for equilibrium system is proposed for the determination of self-equilibrium mode of cable dome structure. A single layer cable dome and two multi layer type domes have been analyzed. The ratios of cable members are determined by the presented method, and check the validation of the results by numerical calculation.

박리된 콘크리트의 진동 모드 형상을 이용한 콘크리트 구조물 박리 손상 영역 가시화 (I) : 모드 시험 (Visualization of Delamination Region in Concrete Structures using Mode Shapes of Delaminated Concrete Section (I) : Modal Test)

  • 오태근;신성우
    • 한국안전학회지
    • /
    • 제28권5호
    • /
    • pp.21-26
    • /
    • 2013
  • Delamination of cover concrete due to re-bar corrosion is a critical damage reducing structural safety of reinforced concrete structures. Therefore, it should be detected and evaluated to provide appropriate maintenance to recover structural integrity. Impact-echo method, which utilizes thickness vibration characteristics of delaminated concrete section, is effective for detection and evaluation of small areal size delamination. However, it may not be applicable for large areal size delamination in which flexural vibration modes are dominated. In this study, applicability of vibration mode shapes of delaminated concrete section is investigated for visualization of delamination region in concrete structures. Numerical and experimental modal tests are performed to estimate mode shapes of delaminated concrete section and linear absolute summation technique is proposed for effective visualization of delamination region based on estimated mode shapes.

Analysis of three dimensional equivalent static wind loads of symmetric high-rise buildings based on wind tunnel tests

  • Liang, Shuguo;Zou, Lianghao;Wang, Dahai;Huang, Guoqing
    • Wind and Structures
    • /
    • 제19권5호
    • /
    • pp.565-583
    • /
    • 2014
  • Using synchronous surface pressures from the wind tunnel test, the three dimensional wind load models of high-rise buildings are established. Furthermore, the internal force responses of symmetric high-rise buildings in along-wind, across-wind and torsional directions are evaluated based on mode acceleration method, which expresses the restoring force as the summation of quasi-static force and inertia force components. Accordingly the calculation methods of equivalent static wind loads, in which the contributions of the higher modes can be considered, of symmetric high-rise buildings in along-wind, across-wind and torsional directions are deduced based on internal forces equivalence. Finally the equivalent static wind loads of an actual symmetric high-rise building are obtained by this method, and compared with the along-wind equivalent static wind loads obtained by China National Standard.

이동질량에 의한 불균일 단면보의 동적응답 (Dynamic Response of Non-Uniform Beams under a Moving Mass)

  • 김인우;이영신;이규섭;류봉조
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 2000년도 춘계학술대회 논문집
    • /
    • pp.553-556
    • /
    • 2000
  • The paper deals with the dynamic response of non-uniform beams subjected to a moving mass. In the dynamic analysis, the effects of inertia force, elastic force, centrifugal force, Coriolis force and self weight due to moving mass are taken into account. Galerkin's mode summation method is applied for the discretized equations of notion. Numerical results for the dynamic response of the non-uniform beam under a moving mass having various magnitudes and velocities are investigated. Experimental results have a good agrement with predictions

  • PDF

Ritz법에 의한 비균일 단면 외팔보의 횡진동 해석 (Lateral Vibration Analysis of a Nonuniform Beam by Ritz's Method)

  • 박석주
    • 한국소음진동공학회논문집
    • /
    • 제17권10호
    • /
    • pp.946-949
    • /
    • 2007
  • This paper discusses the lateral vibration of a beam with boundary condition of one end fixed and the other end free. The uniform beam has a solution by summation of some simple exponential functions. But if its shape is not uniform, its solution could be by Bessel's function or mathematical solution could not exist. Even if the solution of Bessel's function exists, as Bessel function is a series function, we must get the solution by numerical method. Author had proposed the solution of the matrix method by Ritz's method and a new mode shape function, and had earned the good results for a wedge beam. Hereby a vibration analysis for the tapered beam with circle cross section was executed, and so good results were showed.

CAD를 이용한 텐세그리티 구조물의 평형응력모드 결정법 (Equilibrium Stress Mode Determination of Tensegrity Structure by CAD)

  • 김재열
    • 한국공간구조학회논문집
    • /
    • 제12권2호
    • /
    • pp.81-88
    • /
    • 2012
  • 텐세그리티 구조시스템의 한 종류인 케이블 돔 시스템은 케이블과 마스트로 이루어져 있다. 이 케이블에 외부하중이 가해지지 않은 상태에서 안정된 구조물이 되기 위하여 일정의 프리텐션이 가해져야 하며 구조물은 가해진 프리텐션 하에서 자기평형응력상태에 있어야 한다. 본 연구에서는 부재의 내력 벡터의 합 원리를 기초하여 자기평형 응력모드를 구하는 새로운 방법을 제안하였으며, 자기평형응력을 유지하기 위해 필요한 응력모드를 시각화할 수 있다는 점이 기존의 논문과 비교하여 독특성을 갖는다. 본 연구에서 제안된 방법에서 사용된 기본 원리는 모든 절점에서 외부하중이 가해지지 않은 상태에서 내력벡터의 합은 0이 되어야 한다는 것이다. 제안된 방법은 CAD를 이용하여 간단히 자기 평형응력모드를 찾을 수 있으며, 예제 케이블 돔 구조물을 대상으로 각 절점에 연결된 부재들의 내력을 결정하였다. 결과 값은 역학적 계산 방법과 기존의 이론에 의해 검증하였으며 잘 일치하였다.