• Title/Summary/Keyword: 고유진동수 및 모드형상 변화

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Stiffener Modeling for Rectangular Plates Employing the Dirac's Delta Function and Modal Analysis (충격함수를 이용한 사각평판 보강재의 모델링 및 진동 해석)

  • Hur, Sung-Chul;Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.5
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    • pp.833-839
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    • 2003
  • The effects of stiffeners on the modal characteristics of rectangular plates are investigated. A modeling method for the modal analysis of rectangular plates with stiffeners is presented. A mass density Dirac's delta function is used to idealize the stiffeners mathematically. The equations of motion for the plates are derived and transformed into a dimensionless form. To confirm the accuracy of the method presented in this study, numerical result are obtained and compared to those of a commercial program. The mode shape variations due to some parameter variations are also exhibited.

Flapwise Bending Vibration of Rotating Timpshenko Beams with Concentrated Mass and Mass Moment of Inertia (집중 질량및 관성 모멘트를 갖는 회전하는 티모센코 보의 면외굽힘 진동)

  • 박정훈;유홍희
    • Journal of KSNVE
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    • v.8 no.2
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    • pp.353-360
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    • 1998
  • In this paper, a modeling method for the bending vibration analysis of rotating Timoshenko beams with concentrated mass and mass moment of inertia is presented. The shear and rotary inertia effects become critical for the accurate estimation of the natural frequencies and mode shapes as the slenderness ratio decreases. The natural frequencies obtained by using the Timoshenko beam theory are lower than those by using the Euler beam theory. The critical angular speed, which does not exist only with the concentrated mass, exists with the concentrated mass moment of inertia.

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On-line Finite Element Model Updating Using Operational Modal Analysis and Neural Networks (운용중 모드해석 방법과 신경망을 이용한 온라인 유한요소모델 업데이트)

  • Park, Wonsuk
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.1
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    • pp.35-42
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    • 2021
  • This paper presents an on-line finite element model updating method for in-service structures using measured data. Conventional updating methods, which are based on numerical optimization, are not efficient for on-line updating because they generally require repeated eigenvalue analyses until convergence criteria are met. The proposed method enables fully automated on-line finite element model updating, almost simultaneously with vibration measurement, without any user intervention or off-line procedures. The automated covariance-driven stochastic subspace identification (Cov-SSI) method is utilized to identify modal frequencies and vectors, and the identified modal data is fed to the neural network of the inverse eigenvalue function to produce the updated finite element model parameters. Numerical examples for a wind excited 20-story building structure shows that the proposed method can update the series of finite element model parameters automatically. It is also shown that sudden changes in the structural parameters can be detected and traced successfully.

Development of Slender Aerodynamic Girder for Suspension Bridges (현수교 세장 내풍 단면의 개발)

  • Kwon, Soon-Duck;Lee, Myeong-Jae;Cho, Eukyung;Lee, Seung-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.3A
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    • pp.241-256
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    • 2010
  • This study intends to develop an aerodynamic girder for suspension bridge with width corresponding to 1/70 of the main span length. In the first step of present study, parametric study for the effects of major structural properties on aerodynamic stability of bridges was performed. The span length and natural frequency of bridges were found to be free from girder width, girder height, and aspect ratio of width to height. The empirical equation according to confidence interval was proposed to estimate the natural frequencies of bridges from span length. From the sensitivity analysis, it was revealed that the torsional frequency was dominant parameter among various structural properties that affected flutter velocity mostly. The final aerodynamic bridge section which satisfied the flutter criteria was found from section wind tunnel tests for 30 cross sectional models. The aerodynamic stability of the developed cross section was verified by multimode flutter analysis. The present economical cross section can be used for long span suspension bridge.

Dynamic Modeling and Vibration Analysis of Rotating Plate Structures with Stiffeners (보강재를 갖는 회전 평판 구조물의 동역학적 모델링 및 진동해석)

  • 허성철;유홍희
    • Journal of KSNVE
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    • v.10 no.2
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    • pp.312-318
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    • 2000
  • A modeling method for the vibration analysis of rotating cantilever plastes with stiffeners is presented. The equations of motion for the plates aer derived and trnasformed into a dimensionless form. A mass density Dirac's delta function is used to idealize the stiffener mathematically. The effects of stiffeners on the model characteristics of the plate are investigated, and mode shape variations due to some parameter variation are exhibited. It is found that veering phenomena occur between some loci and associated mode shapes change significantly during the veering phenomena.

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Free Vibration Analysis of Orthotropic Triangular Plates with Simplified Series Function (단순급수함수를 이용한 직교이방성 복합재료 삼각판의 자유진동해석)

  • 이영신;정대근;나문수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.5
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    • pp.849-863
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    • 1992
  • A very simple and computationally efficient numerical method is developed for the free vibration of isotropic and orthotropic composite triangular plates. A set of two-dimensional simple series functions is used as an admissible displacement functions in the Rayleigh-Ritz method to obtain the natural frequencies, nodal patterns and mode shapes for the plates. From the prescribed starting function satisfying only the geometric boundary conditions, the higher terms in the series functions are constructed with adding order of polynominal. Natural frequencies, nodal patterns and mode shapes are obtained for right triangular plates with three different support conditions. The obtained numerical results are presented, and the isotropic and some orthotropic cases are verified with other numerical methods in the liternature.

Vibrational Characteristics of the Deteriorated Railway Plate Girder Bridge by Full-scale Experimental Modal Analysis (Full-scale 실험 모드해석을 이용한 노후화된 철도판형교의 진동특성)

  • Kim, Joo-Woo;Jung, Hie-Young
    • Journal of Korean Society of Steel Construction
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    • v.24 no.1
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    • pp.119-128
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    • 2012
  • In this study, experimental vibration tests are performed on a real full-scale railway steel plate girder bridge, which resides in open-space environments. Using experimental modal analysis techniques, the modal parameters of the railway steel plate girder bridge yielded by the modal testing of the impact hammer are compared and investigated with the natural frequencies and mode shapes obtained by finite element analysis. This work focuses on the application of model updating techniques to measured experimental data and output-only data from an analytical vibration study that takes into account various geometric and material properties of the bridge members. A finite element model of the railway bridge structure is used to verify the modal experimental results. It is subsequently updated using the corresponding modal identification technique. The basic database is provided to evaluate damage, which can be determined based on the changes in the element properties, resulting from the process of updating the finite element model benchmark and experimental data.

Hybrid Damage Monitoring Technique for Bridge Connection Via Pattern-Recognition of Acceleration and Impedance Signals (가속도 및 임피던스 신호의 특징분류를 통한 교량 연결부의 하이브리드 손상 모니터링 기법)

  • Kim, Jeong-Tae;Na, Won-Bae;Hong, Dong-Soo;Lee, Byung-Jun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.10 no.6 s.52
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    • pp.57-65
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    • 2006
  • This paper presents hybrid structural damage monitoring system which performs both global damage assessment of structure and damage detection of local structural joints. Hybrid damage monitoring system is composed of vibration-based technique and electro/mechanic impedance technique. Vibration-based technique detects global characteristic change ot structure using modal characteristic change of structure, and electro/mechanical impedance technique detects damage existence of local structural joints using impedance change of PZT sensor. For the verification of the proposed hybrid monitoring system, a series of damage scenarios are designed to loosened bolts situations of the structural joints, and acceleration response and impedance response signatures are measured. The proposed hybrid monitoring system is implemented to monitor global damage-state and local damages in structural joints.

Dynamic Characteristics of a 3-dimensional Irregular Setback Structure (3차원 비정형 Setback 구조물의 동적 특성)

  • 문성권
    • Computational Structural Engineering
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    • v.11 no.4
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    • pp.287-294
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    • 1998
  • 입면의 형태가 임의의 층에서 큰 차이를 보이는 3차원 비정형 setback 구조물의 동적 거동 특성과 이들 구조물의 동적 거동에 미치는 바닥 슬래브의 면내 변형 효과를 분석하였다. 비정형 setback 구조물의 전반적인 동적 거동특성을 분석하기 위하여 베이스 부분의 평면적과 타워 부분의 평면적 비(R?), setback 발생위치(L?)등을 매개 변수로 사용하였다. 48개의 비정형 setback 구조물들에 대한 해석 수행 결과 setback 구조물은 정형 구조물에 비해 횡방향 1차 모드의 유효 모드 중량(effective modal weight)이 작게 나타나는 경향을 보이기 때문에 setback 구조물의 동적 거동을 파악하기 위해서는 등가 정적 해석법 대신에 동적 해석을 수행할 필요가 있음을 알 수 있었다. 바닥슬래브의 면내 변형은 보다 긴 구조물의 고유 진동 주기값을 가져오며 모드 순서 및 모드 형상에도 변화를 준다. 이러한 사실은 바닥슬래브의 면내 변형으로 인하여 횡방향 저항 요소들간의 전단력 분포와 층 변위가 영향을 받을 수 있다는 것을 의미한다. 이러한 현상은 횡방향 저항 요소들간의 강성 차가 심한 프레임-전단벽 시스템에서 두드러지게 나타난다.

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Ground-Tunnel Interaction Effect Depending on the Ground Stiffness (지반의 강성변화에 따른 지반-터널 동적 상호작용 연구)

  • 김대상
    • Tunnel and Underground Space
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    • v.11 no.4
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    • pp.339-343
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    • 2001
  • Shield tunnel having circular section located in the soil or soft rock layer is liable to deform in such a way that its two diagonal diameters crossing each other expand and contract alternately during earthquakes. Based on this knowledge, the ground-tunnel interaction effect for this particular vibration mode is investigated. The ground surrounding a tunnel is assumed to be a homogeneous elastic medium. The bonded boundary condition on the ground-tunnel interface is considered. This suggests a firm bond between the ground and the tunnel lining. As Poisson's ratio and stiffness of the ground increases, the strain induced within the tunnel lining increases.

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