• Title/Summary/Keyword: Modal Expansion Method

Search Result 71, Processing Time 0.026 seconds

Expansion of Measured Static and Dynamic Data as Basic Information for Damage Detection

  • Eun, Hee-Chang;Lee, Min-Su;Chung, Chang-Yong;Kwak, No-Hyun
    • Architectural research
    • /
    • v.10 no.2
    • /
    • pp.21-26
    • /
    • 2008
  • The number of measured degrees of freedom for detecting the damage of any structures is usually less than the number of model degrees of freedom. It is necessary to expand the measured data to full set of model degrees of freedom for updating modal data. This study presents the expansion methods to estimate all static displacements and dynamic modal data of finite element model from the measured data. The static and dynamic methods are derived by minimizing the variation of the potential energy and the Gauss's function, respectively. The applications illustrate the validity of the proposed methods. It is observed that the numerical results obtained by the static approach correspond with the Guyan condensation method and the derived static and dynamic approaches provide the fundamental idea for damage detection.

Estimation of Vibration Field of a Cylindrical Structure Derived by Optimal Sensor Placement Methods (센서최적배치 기법에 의한 원통형 구조물의 진동장 예측)

  • Jung, Byung-Kyoo;Jeong, Weui-Bong;Cho, Dae-Seung;Kim, Kookhyun;Kang, Myeonghwan
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.24 no.5
    • /
    • pp.381-389
    • /
    • 2014
  • This study is concerned with the estimation of vibration-field of a cylindrical structure by modal expansion method(MEM). MEM is a technique that identifies modal participation factors using some of vibration signals and natural modes of the structure: The selection of sensor locations has a big influence on predicted vibration results. Therefore, this paper deals with four optimal sensor placement( OSP) methods, EFI, EFI-DPR, EVP, AutoMAC, for the estimation of vibration field. It also finds optimal sensor locations of the cylindrical structure by each OSP method and then performs MEMs. Predicted vibration results compared with reference ones obtained by forced response analysis. The standard deviations of errors between reference and predicted results were also calculated. It is utilized to select the most suitable OSP method for estimation of vibration field of the cylindrical structure.

Improved component mode synthesis method using experimental obtained modal data (실험모달데이터를 사용한 구분모두 합성법의 개선)

  • 장경진;지태한;박영필
    • Journal of KSNVE
    • /
    • v.6 no.1
    • /
    • pp.97-106
    • /
    • 1996
  • This paper presents systematic study of the experimental application of a free-interfaced component mode synthesis method. In the free-interfaced component mode synthesis method, an error the to truncated higher modes and neglected ineria loadings on a component from the connected component is inherent. Also, it is difficult to directly use experimental modal data in a modal synthesis method which links experimental model to finite-element model because of many inconsistencies between experimentally obtained and analytically obtained modal vectors and missing degrees-of-freedom (DOFs) such as rotational DOFs. In order to solve these problems, three methods, the first one based on attaching auxiliary weights to the connection points, the second one utillizing the normalization of experimental modal vector, and the third one generating smoothed and expanded experimental mode shapes, are studied in this paper. Finally, the study is illustrated for a flat-plate structure by using simulated and measured experimental data.

  • PDF

Blind modal identification of output-only non-proportionally-damped structures by time-frequency complex independent component analysis

  • Nagarajaiah, Satish;Yang, Yongchao
    • Smart Structures and Systems
    • /
    • v.15 no.1
    • /
    • pp.81-97
    • /
    • 2015
  • Recently, a new output-only modal identification method based on time-frequency independent component analysis (ICA) has been developed by the authors and shown to be useful for even highly-damped structures. In many cases, it is of interest to identify the complex modes of structures with non-proportional damping. This study extends the time-frequency ICA based method to a complex ICA formulation for output-only modal identification of non-proportionally-damped structures. The connection is established between complex ICA model and the complex-valued modal expansion with sparse time-frequency representation, thereby blindly separating the measured structural responses into the complex mode matrix and complex-valued modal responses. Numerical simulation on a non-proportionally-damped system, laboratory experiment on a highly-damped three-story frame, and a real-world highly-damped base-isolated structure identification example demonstrate the capability of the time-frequency complex ICA method for identification of structures with complex modes in a straightforward and efficient manner.

Development of Acoustic Substructure Synthesis Method using Component Mode Synthesis Method (모드합성법을 이용한 음향부분구조합성법의 개발)

  • 고상철;조용구;오재응;김준태;김진오
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1996.10a
    • /
    • pp.118-123
    • /
    • 1996
  • The purpose of this study is to develop acoustic substructure synthesis method that can be applied to acoustic modal analysis of complex acoustic systems. Acoustic modal analysis method to be introduced here is a method that analyze acoustic natural mode shape of the complex acoustic system by the principle of CMS(component mode synthesis method). This paper describes the acoustic modal analysis of the acoustic finite element model of simple expansion pipe by acoustic substructure synthesis method. The results of acoustic modal analysis analyzed by Acoustic substructure synthesis method and the results, by FEM(finite element method) shows good agreement.

  • PDF

A Study on the Vibrational Characteristics of the Continuous Circular Cylindrical Shell with the Multiple Supports Using the Experimental Modal Analysis (실험모드해석에 의한 다점지지된 연속원통셸의 진동특성에 관한 연구)

  • 한창환;이영신
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.11 no.4
    • /
    • pp.43-51
    • /
    • 2001
  • An experimental modal analysis is the process to identify structure's dynamic characteristics such as resonant frequencies, damping values and mode shapes. An experimental model was made of stainless steel in the shape of a circular cylindrical shell and installed on the test bed with jigs. For investigating vibrational characteristics of the continuous circular cylindrical shell with intermediate supports, modal testing is performed by using impact hammer, accelerometer and 8-channel FFT analyzer. The frequency response function(FRF) measurements are also made on the experimental model within the frequency range from 0 to 4kHz. Modal parameters are identified from resonant peaks in the FRF's and animated deformation patterns associated with each of the resonances are shown on a computer screen. The experimental results are compared with analytical and FEA results.

  • PDF

Modal transformation tools in structural dynamics and wind engineering

  • Solari, Giovanni;Carassale, Luigi
    • Wind and Structures
    • /
    • v.3 no.4
    • /
    • pp.221-241
    • /
    • 2000
  • Structural dynamics usually applies modal transformation rules aimed at de-coupling and/or minimizing the equations of motion. Proper orthogonal decomposition provides mathematical and conceptual tools to define suitable transformed spaces where a multi-variate and/or multi-dimensional random process is represented as a linear combination of one-variate and one-dimensional uncorrelated processes. Double modal transformation is the joint application of modal analysis and proper orthogonal decomposition applied to the loading process. By adopting this method the structural response is expressed as a double series expansion in which structural and loading mode contributions are superimposed. The simultaneous use of the structural modal truncation, the loading modal truncation and the cross-modal orthogonality property leads to efficient solutions that take into account only a few structural and loading modes. In addition the physical mechanisms of the dynamic response are clarified and interpreted.

Natural vibration analysis of coaxial shells coupled with fluid

  • Jhung, Myung Jo;Choi, Young Hwan;Jeong, Kyeong Hoon
    • Structural Engineering and Mechanics
    • /
    • v.16 no.6
    • /
    • pp.655-674
    • /
    • 2003
  • Investigated in this study are the natural vibration characteristics of the coaxial cylindrical shells coupled with a fluid. Theoretical method is developed to find the natural frequencies of the shell using the finite Fourier series expansion, and their results are compared with those of finite element method to verify the validation of the method developed. The effect of the fluid-filled annulus and the boundary conditions on the modal characteristics of the coaxial shells is investigated using a finite element modeling.

Modal Analysis of Eccentric Shells with Fluid-Filled Annulus (유체가 채워진 환형공간을 갖는 편심 원통형 셸의 모드 해석)

  • 정명조;정경훈;박윤원
    • Journal of KSNVE
    • /
    • v.10 no.3
    • /
    • pp.536-550
    • /
    • 2000
  • Inversitgated in this study are the modal characteristics of the eccentric cylindrical shells with fluid-filled annulus. Theoretical method is developed to find the natural frequencies of the shell using the finite Fourier expansion and their results are compared with those of finite element method to verify the validation of the method developed. The effect of eccentricity on the modal characteristics of the shells is investigated using a finite element modeling.

  • PDF

Modal Analysis of Coaxial Shells with Fluid-Filled Annulus

  • Jhung, Myung-Jo;Kim, Yong-Beum;Jeong, Kyeong-Hoon;Park, Suhn
    • Nuclear Engineering and Technology
    • /
    • v.32 no.4
    • /
    • pp.328-341
    • /
    • 2000
  • Investigated in this study are the modal characteristics of the coaxial cylindrical shells with fluid-filled annulus. Theoretical method is developed to find the natural frequencies of the shell using the finite Fourier series expansion, and their results are compared with those of finite element method to verify the validation of the method developed. The effect of the fluid-filled annulus and the boundary conditions on the modal characteristics of the coaxial shells is investigated using a finite element modeling.

  • PDF