• Title/Summary/Keyword: mode shape analysis

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A Study on the Shape Analysis Method of Plane Truss Structures under the Prescribed Displacement (변위제약을 받는 평면트러스 구조물의 형태해석기법에 관한 연구)

  • 문창훈;한상을
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.217-226
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    • 1998
  • The purpose of this study is to develop a technique for the shape analysis of plane truss structures under prescribed displacement modes. The shape analysis is performed based on the existence theorem of the solution and the Moore-Penrose generalized inverse matrix. In this paper, the homologous deformation of structures was proposed as prescribed displacement modes, the shape of the structure is determined from these various modes and applied loads. In general, the shape analysis is a kind of inverse problem different from stress analysis, and the governing equation becomes nonlinear. In this regard, Newton-Raphson method was used to solve the nonlinear equation. Three different shape models are investigated as numerical examples to show the accuracy and the effectiveness of the proposed method.

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Model Analysis of Plate using by Digital Test System (디지털 실험장치를 이용한 판의 모우드 해석)

  • Hong, Bong-Ki;Bae, Dong-Myung;Bae, Seong-Yoeng
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.29 no.1
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    • pp.39-55
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    • 1993
  • Modal Analysis is the process of characterizing the dynamic properties of an elastic structure by identifying its modes of vibration. A mode of vibration is a global property of an elastic structure. That is, a mode has a specific natural frequency and damping factor which can be identified from response data at practically any point on a structure, and it has a characteristic mode shape which identifies the mode spatially over the entire structure. Modal testing is able to be performed on structural and mechanical structure in an effort to learn more about their elastic behavior. Once the dynamic properties of a structure are known its behavior can be predicted and therefore controlled or corrected. Resonant frequencies, damping factors and mode shape data can be used directly by a mechanical designer to pin point weak spots in a structure design, or this data can also be used to confirm or synthesize equations of motion for the elastic structure. These differential equations can be used to simulate structural response to know input forces and to examine the effects of pertubations in the distributed mass, stiffness and damping properties of the structure in more detail. In this paper the measurement of transfer functions in digital form, and the application of digital parameter identification techniques to identify modal parameters from the measured transfer function data are discussed. It is first shown that the transfer matrix, which is a complete dynamic model of an elastic plate structure can be written in terms of the structural modes of vibration. This special mathematical form allows one to identify the complete dynamics of the structure from a much reduced set of test data, and is the essence of the modal approach to identifying the dynamics of a structure. Finally, the application of transfer function models and identification techniques for obtaining modal parameters from the transfer function data are discussed. Characteristics on vibration response of elastic plate structure obtained from the dynamic analysis by Finite Element Method are compared with results of modal analysis.

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A Study on Vibration mode Shape Measurement of Disk brake by Using Time-Averaged ESPI (시간평균 ESPI를 이용한 디스크 브레이크의 진동 모드 측정에 관한 연구)

  • 김동우
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.4
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    • pp.79-86
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    • 1999
  • Electronic Speckle Pattern Interferometry(ESPI) is a powerful tool to measure the vibration mode shape and resonance frequency for modal analysis. As for ESPI this method is very suited for full-field measurement of objects in industrial areas because the interferograms are recorded with a video camera and evaluated in real-time with a computer. In this study We performed experiments at the same constraint conditions as disk brake of the practical vehicle as far as possible and obtained the resonance frequencies and vibration mode shapes by using time-averaged ESPI at once. Finally to assure the expetimental results by time-averaged ESPI we also compare those with results obtained by Laser Doppler Vibrometer and obtained good agreement.

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A Study on the Vibration Characteristics of Stiffened Cylinder (보강된 실린더의 진동특성에 관한 연구)

  • Kim, Gwang-Rae;Jang, Yong-Hun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.3
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    • pp.408-414
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    • 2001
  • The structural characteristics of the stiffened double cylinder was investigated through experiment and analysis. The outside cylinder was excited with piezoelectric actuator and the mode shape of the cylinder with stiffening T frame was obtained by using holographic interferometry. Finite element method was applied for further modal investigation of the stiffened cylinder. The experimental results showed that the mode shape of cylinder was dependent on the exciting frequencies and the T frame showed salient effect of damping at most of the resonent frequencies. In particular frequencies, the T frame worked as a transmitter. FFM showed similar results with the experiments. This paper showed that the laser-based method such as holographic interferometry is well suited for investigation of the whole-field mode shapes and FEM has good performance to estimate the medal characteristics of the mechanical structure.

Modal Analysis of Structures (구조물의 모달해석에 관한 연구)

  • Kim, Hong-Jin;Park, Je-Woo;Hwang, Jae-Seung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.665-668
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    • 2008
  • The load distribution to each mode of a structure under seismic loading depends on the modal participation factor. The factor of an idealized analytical model, however, is different to the actual one due to modeling and construction error. Therefore, there exist limits on the estimation of actual behavior. In this study, an identification procedure for participation factor based on vibration test is proposed. The procedure has an advantage that the mode shape vector can also be estimated directly from the participation factor. The numerical simulation using a three story building is performed to evaluate the proposed procedure.

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Seismic Analysis of 3D-Truss by Response Spectrum (응답스펙트럼에 의한 트러스 구조물의 내진해석)

  • 안주옥;이승재
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.159-168
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    • 1999
  • In seismic analysis, there are two main ways - uniform load method and dynamic analysis, dynamic analysis can be divided into response spectrum analysis and time history analysis. In case of which get the complexion of the vibration with 3-axis of coordinate direction in each mode of free vibration mode happened owing to complication of the shape, 3-dimensional dynamic analysis is recommended to perform as multi-mode spectral analysis in standard specification for highway bridge. The purpose of this study is to understand the dynamic behavior by performing multi-mode seismic analysis according to responses analysis and time history anal)'sis in using record of earthquake. In accordance with the criterion of seismic design as defined in standard specification for highway bridge by using modified records of the El Centre and Coyote Lake earthquake, response spectrum was constructed by using the tripartite logarithmic plot. The 3-span continuous space truss bridge was selected as model of numerical analysis. As the result performed time history analysis and analysis of response spectrum for the model of numerical analysis, the result of time history analysis was slightly larger than that of response spectrum analysis. This coincide with the tendency of the result came from the analysis when using a jagged response spectrum analysis, This coincide with the tendency of the result came from the analysis when using a jagged response spectrum for a single excitation. In the Process of performing these two analysis. response spectrum analysis is more effective than time history analysis in saving times in analyzing data.

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Estimation of Dynamic Characteristics of Namhae Suspension Bridge Using Ambient Vibration Test (상시진동실험을 이용한 남해대교의 동특성 평가)

  • Kim, Nam-Sik;Kim, Chul-Young;Jung, Dae-Sung;Yoon, Jah-Geol
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.396.1-396
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    • 2002
  • The AVT under traffic-induced vibrations was carried out on Namhae Suspension bridge in Korea. Mode shapes as well as natural frequencies up to the 15th mode were acquired exactly, and the effect of traffic mass and temperature on measured natural frequencies was investigated. The results from the AVT are compared with those from forced vibration test(FVT) and FE analysis. (omitted)

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Linear Stability Analysis of a Rotating Disc Brake for Squeal Noise (회전 디스크 브레이크의 스퀼소음에 대한 선형안정성 연구)

  • Kang, Jae-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.10
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    • pp.1092-1098
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    • 2009
  • The squeal propensity of an automotive disc brake system is studied in the theoretical and computational manner. The rotating disc is in contact with two stationary pads and the nonlinear friction is engaged on the contact surface. The friction-coupled equations of motion are derived in the finite element(FE) of the actual brake disc and pad. From the general definition of friction force, the rotation and in-plane mode effects can be included properly in the brake squeal model. The eigenvalue sensitivity analysis and the mode shape visualization at squeal frequencies are also conducted for the detailed investigation. It is found that the squeal propensity is strongly influenced by rotation effect and the in-plane mode can be involved in squeal generation.

Dynamic Analysis and Optimum Design of Suspensions for Information Storage Devices (정보저장기기 서스펜션의 동특성 해석 및 최적설계)

  • Kim, Yun-Sik;Lee, Jong-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.576-581
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    • 2002
  • The suspension is a structure that supports reading, writing head in information storage device. In order to develop the information storage device of high track density, it is necessary to study about the suspension. To satisfy operation condition of information storage device, the suspension shape is very important since it correlates to dynamic characteristics. Therefore, it is necessary to analyze the dynamic characteristics by using finite element analysis and to optimize the suspension of information storage device using size optimization and topology optimization. The suspension has various modes according to different kinds of frequency bandwidth. Sway mode and second torsion mode are especially critical among them. In this paper, we investigated method to improve bandwidth of sway and second torsion mode of HDD and ODD suspension by using size optimization and topology optimization.

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The Effect of Liquid Level on the Natural Frequencies of a Partially Liquid-Filled Circular Cylindrical Shell (유체로 채워진 원통형 쉘의 고유진동수에미치는 수위의 영향)

  • 정경훈;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.314-319
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    • 1995
  • The effect of liquid level on the natural frequencies and mode shapes of a partially liquid-filled circular cylindrical shell with various boundary conditions is investigated by means of a theoretical analysis based upon Fourier series expansion method and a finite element analysis using ANSYS computer program. Two dimensional mode shapes of the liquid-coupled shell structure are obtained by the ANSYS finite element analysis and show that the liquid level affect the nodal point movement. It is found that the variation of normalized naturalfrequencies (natural frequencies of liquid-filled shell/antural frequencies ofempty shell) to the liquid level is depend on the axial mode numbers and circumferential wave numbers. Additionally, it is found that the number of variational steps of normalized natural frequencies is identicial to that of axial nodal points of the mode shape.

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