• Title/Summary/Keyword: Modal participation factor

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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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Modal identifiability of a cable-stayed bridge using proper orthogonal decomposition

  • Li, M.;Ni, Y.Q.
    • Smart Structures and Systems
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    • v.17 no.3
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    • pp.413-429
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    • 2016
  • The recent research on proper orthogonal decomposition (POD) has revealed the linkage between proper orthogonal modes and linear normal modes. This paper presents an investigation into the modal identifiability of an instrumented cable-stayed bridge using an adapted POD technique with a band-pass filtering scheme. The band-pass POD method is applied to the datasets available for this benchmark study, aiming to identify the vibration modes of the bridge and find out the so-called deficient modes which are unidentifiable under normal excitation conditions. It turns out that the second mode of the bridge cannot be stably identified under weak wind conditions and is therefore regarded as a deficient mode. To judge if the deficient mode is due to its low contribution to the structural response under weak wind conditions, modal coordinates are derived for different modes by the band-pass POD technique and an energy participation factor is defined to evaluate the energy participation of each vibration mode under different wind excitation conditions. From the non-blind datasets, it is found that the vibration modes can be reliably identified only when the energy participation factor exceeds a certain threshold value. With the identified threshold value, modal identifiability in use of the blind datasets from the same structure is examined.

Estimation of Modal Participation Factor of a Structure under Earthquake Load (지진하중을 받는 구조물의 모드기여계수 산정)

  • 황재승;김홍진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.461-468
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    • 2004
  • Modal participation factor(MPF) is essential to analyze structural response under earthquake load. MPF of real structure differs from that of analytic mathematical model due to the error induced from analytical assumption and construction. In this study, a identification method is proposed to calculate the MPF of real structure based on H∞ optimal model reduction. The MPF is obtained from the relationship between observability, controllability matrix of realized from S.I. and typical 2-degree state space model. The proposed method is verified thorough examples.

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Estimation of the First Modal Participation Factor of a Shear Building under Earthquake Load (지진하중을 받는 전단구조물의 1차 모드참여계수 산정)

  • Hwang, Jae-Seung;Kim, Hong-Jin;Kang, Kyung-Soo
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.1 s.41
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    • pp.25-32
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    • 2005
  • Seismic load is distributed to modes of a structure through the modal participation factor(MPF). The modal participation factor is essential to analyze structural response under earthquake load. MPF of a real structure differs from that of analytical mathematical model due to the error induced from analytical assumptions and during the construction. In this study, an identification method is proposed to calculate the 1st MPF of real structure based on $H^{\infty}$ optimal model reduction. The MPF is obtained from the relationship between observability and controllability matrices realized from system identification and those of a prototype 2-degree state space model. The proposed method is verified thorough numerical examples.

Structural time-varying damage detection using synchrosqueezing wavelet transform

  • Liu, Jing-Liang;Wang, Zuo-Cai;Ren, Wei-Xin;Li, Xing-Xin
    • Smart Structures and Systems
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    • v.15 no.1
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    • pp.119-133
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    • 2015
  • This paper proposed a structural time-varying damage detection method by using synchrosqueezing wavelet transform. The instantaneous frequencies of a structure with time-varying damage are first extracted using the synchrosqueezing wavelet transform. Since the proposed synchrosqueezing wavelet transform is invertible, thus each individual component can be reconstructed and the modal participation factor ratio can be extracted based on the amplitude of the analytical signals of the reconstructed individual components. Then, the new time-varying damage index is defined based on the extracted instantaneous frequencies and modal participation factor ratio. Both free and forced vibrations of a classical Duffing nonlinear system and a simply supported beam structure with abrupt and linear time-varying damage are simulated. The proposed synchrosqueezing wavelet transform method can successfully extract the instantaneous frequencies of the damaged structures under free vibration or vibration due to earthquake excitation. The results also show that the defined time-varying damage index can effectively track structural time-varying damage.

Fluidelastic Instability Characteristics of Helical Steam Generator Tubes

  • Jo Jong Chull;Jhung Myung Jo;Kim Woong Sik;Choi Young Hwan;Kim Hho Jung
    • Nuclear Engineering and Technology
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    • v.36 no.4
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    • pp.364-373
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    • 2004
  • This study investigates the fluidelastic instability characteristics of helical steam generator type tubes used in operating nuclear power plants. To obtain a natural frequency, corresponding mode shape, and participation factor, modal analyses using various conditions are performed for helical type tubes. Investigated are the effects of the number of turns, the number of supports, and the status of the inner fluid on the modal and fluidelastic instability characteristics of the tubes, which are expressed in terms of the natural frequency, the corresponding mode shape, and the stability ratio.

Fretting-Wear Characteristics of Steam Generator Tubes by Foreign Object

  • Jo Jong Chull;Jhung Myung Jo;Kim Woong Sik;Choi Young Hwan;Kim Hho Jung;Kim Tae Hyung
    • Nuclear Engineering and Technology
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    • v.35 no.5
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    • pp.442-453
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    • 2003
  • This study investigates the safety assessment of the potential for fretting-wear damages on steam generator (SG) U-tubes caused by foreign object in operating nuclear power plants. The operating SG shell-side flow field conditions are obtained from three-dimensional SG flow calculation using the ATHOS3 code. Modal analyses are performed for the finite element modelings of U-tubes to get the natural frequency, corresponding mode shape and participation factor. The wear rate of U-tube caused by foreign object is calculated using the Archard formula and the remaining life of the tube is predicted. Also, discussed in this study is the effect of the flow velocity and vibration of the tube on the remaining life of the tube.

A Study on Modal Analysis of a Large Structural System with Contribution Factor Analysis of Substructures (부분구조의 기여도 분석을 통한 대형구조물의 해석에 관한 연구)

  • Cho, Ean-Soo;Baik, Serl;Yim, Hong-Jae;Kim, Hyo-Sik
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.341-348
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    • 2001
  • In this study, a method is presented to find out a relationship between modes of a substructure and those of the system structure. Superelement analysis is performed for a full vehicle system, where the bus is partitioned by six parts. In this study, Modal Assurance Criteria(MAC) which is to represent the correlation between two mode shapes is used to investigate the contribution factor of each substructure for the full system. The proposed participation factor can be used for design of substructures to meet the design target of the total structural system.

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Modal Characteristics of a Structure with Stiffness and Damping Eccentricit (강성 및 감쇠 비대칭 구조물의 모드 특성)

  • 김진구;방성혁
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.421-432
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    • 2002
  • In this study the modal characteristics and responses of an asymmetric structure with added viscoelastic dampers were investigated for design parameters such as eccentricity of stiffness and added dampers, the loss factor of the damping materials used. For modal characteristics, variation of the quantities such as natural frequencies, modal damping ratios, modal participation factors, and dynamic amplification factors were observed, and displacements at flexible and stiff edges, and at center of mass were obtained. Based on the results, the problem of the optimum damper distribution to minimize the torsional effects was addressed, and the proposed method for optimum damper distribution was applied to a multi-story structure to verify the applicability Finally the effect of viscous and viscoelastic dampers were compared by varying the loss factor of the viscoelastic material.

Estimations of Offshore Structure Damages by Modal Perturbation Method (Modal-Perturbation 기법을 이용한 항만 구조물의 손상부위 추정)

  • 조병완;한상주
    • Computational Structural Engineering
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    • v.9 no.4
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    • pp.209-217
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    • 1996
  • An Inverse modal perturbation method was applied to estimate the assessments of the damages at the large-scaled marine structure, such as pier or dolphin, from the structural dynamic natural frequencies and mode shape. Vibrations of structural stiffness, natural frequencies and mode shapes from the eigenvalue analysis lead to the modal peturbation equations, which were considered with a second order term. This paper estimates the assessments of the damages for the structure with the decreased stiffness and shows the convergence of perturbation equation.

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