• Title/Summary/Keyword: mode shape and natural frequency

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Damage detection of multi-storeyed shear structure using sparse and noisy modal data

  • Panigrahi, S.K.;Chakraverty, S.;Bhattacharyya, S.K.
    • Smart Structures and Systems
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    • v.15 no.5
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    • pp.1215-1232
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    • 2015
  • In the present paper, a method for identifying damage in a multi storeyed shear building structure is presented using minimum number of modal parameters of the structure. A damage at any level of the structure may lead to a major failure if the damage is not attended at appropriate time. Hence an early detection of damage is essential. The proposed identification methodology requires experimentally determined sparse modal data of any particular mode as input to detect the location and extent of damage in the structure. Here, the first natural frequency and corresponding partial mode shape values are used as input to the model and results are compared by changing the sensor placement locations at different floors to conclude the best location of sensors for accurate damage identification. Initially experimental data are simulated numerically by solving eigen value problem of the damaged structure with inclusion of random noise on the vibration characteristics. Reliability of the procedure has been demonstrated through a few examples of multi storeyed shear structure with different damage scenarios and various noise levels. Validation of the methodology has also been done using dynamic data obtained through experiment conducted on a laboratory scale steel structure.

Structural Damage Assessment Based on PNN -Application to Railway Bridge (확률신경망을 이용한 구조물 손상평가-철도교 적용)

  • 조효남;이성칠;오달수;최윤석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.321-329
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    • 2002
  • Artificial neural network has been used for damage assessment by many researchers, but there are still some barriers that must be overcome to improve its accuracy and efficiency. The major problems with the conventional neural network are the necessity of many training patterns for neural network teaming process and ambiguity in the relationship of neural network structure to the convergence of solution. In this paper, the PNN is used as a pattern classifier to detect the damages of the railway bridge using dynamic response. The comparison between the mode shape and the natural frequency of structure as training pattern is investigated for approriate selection of the training pattern in the damage detection of railway bridge using the PNN.

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Modal Identification of a Slender Structure using the Proper Orthogonal Decomposition Method (Proper Orthogonal Decomposition 기법을 이용한 세장한 구조물의 모드인자 파악)

  • Ham, Hee-Jung
    • Journal of Industrial Technology
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    • v.28 no.B
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    • pp.135-141
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    • 2008
  • In this paper, the Proper Orthogonal Decomposition (POD) method, which is a statistical analysis technique to find the modal characteristics of a structure, is adapted to identify the modal parameters of a tall chimney structure. A wind force time history, which is applied to the structure, is obtained by a wind tunnel test of a scale down model. The POD method is applied on the wind force induced responses of the structure, and the true normal modes of the structure can be obtained. The modal parameters including, natural frequency, mode shape, damping ratio and kinetic energy of the structure can be estimated accurately. With these results, it may be concluded that the POD method can be applied to obtain accurate modal parameters from the wind-induced building responses.

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Modal Analysis of Composite Trapezoidal Plates Undergoing In-plane Translational Acceleration (면내 병진 가속을 받는 복합재 사다리꼴 평판의 진동 해석)

  • Lim, Hong-Seok;Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.9
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    • pp.1486-1491
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    • 2003
  • A modeling method for the modal analysis of a composite trapezoidal plate undergoing in-plane translational acceleration is presented in this paper. The equations of motion for the plate are derived and transformed into a dimensionless form. The effects of the inclination angles, fiber orientation angle and the acceleration on the modal characteristics of the plate are investigated.

Damage Evaluation of Cracked Laminated Composite Plates Using Experimental Modal Analysis (실험 모드해석을 이용한 균열 적층복합판의 손상평가)

  • Kim, Joo-Woo
    • Journal of Korean Society of Steel Construction
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    • v.24 no.4
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    • pp.399-410
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    • 2012
  • In this study, vibration tests are performed on cantilevered and clamped-clamped laminated composite rectangular plates using experimental modal analysis technique. The damages are simulated by applying progressive line cracks to the laminated composite plates for damage evaluations due to crack growth. The changes of frequency response functions(FRFs), MAC values, and modal parameters (frequency, mode shape and damping ratio) of the damaged composite plates, which are obtained by the modal testing of impact hammer, are investigated. Each experimental modal parameter of the progressively damaged composite plates is compared with natural frequencies and mode shapes obtained by finite element analysis. It is seen that the damage can be evaluated from the changes in the geometric properties and structural behaviors of the laminated composite plates resulting from the model updating process of the finite element model as a benchmark.

Flow-induced Vibration of the CE-type Steam Generator Tube (CE형 원전 증기발생기 전열관의 유동유발진동 해석)

  • Ryu, Ki-Wahn;Park, Chi-Yong
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.828-833
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    • 2001
  • In this study, an analysis tool to assess the susceptibility of steam generator tubes due to the flow-induced vibration was developed. The fluid-elastic instability analysis of the U-tube bundle for CE-type steam generator was accomplished. The effective mass distribution along the U-tube was obtained to calculate the natural frequency and dynamic mode shape. Finally, stability ratios for selected tubes are obtained.

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Field Test on Damping Value of Bridge in High-speed Railway (고속전철 교량의 감쇠값 산정을 위한 현장 실험)

  • 최은석;신호상;곽종원;김병석
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.751-756
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    • 2000
  • The dynamic characteristics such as natural frequency, mode shape and damping ratio are most important parameters in the high-speed railway bridges rather than general roadway bridges. Also, the need to know the dynamic behavior of bridges greatly increased in recent years. In the early of 1990s, to design the high-speed railway bridges, damping ratio recommended in general code was 2.5~7.5%. However, these values were not applied in all cases. Therefore, obtaining the damping value of specific structures is important to get the correct variable for design of high-speed railway bridges. The purpose of this study is mainly to obtain the damping ratio of high-speed railway bridges. The average damping ratio of high-speed railway bridges evaluated from a field test is about 2.4%.

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Free Vibrations and Buckling Loads of Stepped Columns (Step 기둥의 자유진동 및 좌굴하중)

  • ;Oh, Sang Jin
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.38 no.6
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    • pp.42-50
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    • 1996
  • 이 논문은 step기둥의 자유진동 및 좌굴하중에 관한 연구이다. 축하중을 받는 변단면 기둥의 자유진동을 지배하는 편미분방정식을 이용하여 축하중을 받는 step기둥의 자유진동을 지배하는 상미분방정식을 유도하였다. 또한 이 자유진동을 지배하는 미분방정식을 이용하여 step기둥의 좌굴하중을 지배하는 상미분방정식을 유도하였다. 유도된 미분방정식들을 Heun방법과 Regula-Falsi방법을 이용하여 고유진동수 및 좌굴하중을 산출할 수 있는 수치해석방법을 개발하였다. 실제 수치해석 예에서는 2개의 step구간을 갖는 회전-회전, 회전-고정, 고정-고정 기둥에 대한 무차원 고유진동수화 무차원변수들과의 관계 및 무차원 좌굴하중과 무차원 변수들과의 관계를 그림에 나타내었다.

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Study on the Stability Test of Impinging(FOOF) Injector on $GN_2$ Purge Cold Flow Test (질소분사 음향시험을 통한 충돌형(FOOF) 분사기의 안정성 평가에 관한 연구)

  • Yoo Doc-Koon;Lee Kwang-Jin;Seo Seong-Hyeon;Han Young-Min;Choi Hwan-Seok;Seol Woo-Seok
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2006.05a
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    • pp.135-140
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    • 2006
  • In the experimental study of $N_2$ purge cold flow test of impinging(FOOF) injector for determining of instability region, the whistling sound which has a specific frequency is generated. The frequency of whistling is proportional to the gas flow velocity in part of the oxidizer orifice and due to the coupling of the vibrating gas column and the natural frequency of pipe-orifice shape, the discontinuous jumping phenomena arises. The whistling phenomena have no effect on the combustion instability. Compared the damping factor of 1T1L mode with the hot fire test, the instability region of $N_2$ purge cold flow test is very much like that. It means that flow instability by impinging or mixing of jet is the main reason of combustion instability of impinging injector(FOOF) in the hot firing test.

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Natural Frequency and Mode Shape Sensitivities of Damped Systems with Multiple Natural Frequencies (중복근을 갖는 감쇠 시스템의 고유진동수와 모드의 민감도)

  • 최강민;이종헌;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.515-522
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    • 2001
  • A simplified method is presented for the computation of eigenvalue and eigenvector derivatives associated with repeated eigenvalues. In the proposed method, adjacent eigenvectors and orthonormal conditions are used to compose an algebraic equation whose order is (n+m)x(n+m), where n is the number of coordinates and m is the number of multiplicity of the repeated eigenvalue. One algebraic equation developed can be computed eigenvalue and eigenvector derivatives simultaneously. Since the coefficient matrix of the proposed equation is symmetric and based on N-space, this method is very efficient compared to previous methods. Moreover the numerical stability of the method is guaranteed because the coefficient matrix of the proposed equation is non-singular, This method can be consistently applied to both structural systems with structural design parameters and mechanical systems with lumped design parameters. To verify the effectiveness of the proposed method, the finite element model of the cantilever beam and a 5-DOF mechanical system in the case of a non-proportionally damped system are considered as numerical examples. The design parameter of the cantilever beam is its width, and that of the 5-DOF mechanical system is a spring.

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