• Title/Summary/Keyword: Mode Superposition Method

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Dynamic Interaction Analysis of Low, Medium and Super-high Speed Maglev and Guideways (열차-교량의 동적 상호작용을 고려한 중·저속 및 초고속 자기부상열차와 가이드웨이의 동특성 해석)

  • Min, Dong-Ju;Jung, Myung-Rag;Lee, Jun-Seok;Kim, Lee-Hyeon;Kim, Moon-Young
    • Journal of the Earthquake Engineering Society of Korea
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    • v.15 no.3
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    • pp.1-9
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    • 2011
  • The purpose of this study is to examine the dynamic characteristics of low, medium and high speed Maglev trains and guideways through dynamic interaction analysis. The coupled dynamic equations of motion for a vehicle of 10-dof and the associated guideway girders are developed by superposing vibration modes of the girder itself. The controller used in the UTM-01 Maglev vehicle is adopted to control the air gap between the bogie and guideway in this study. The effect of roughness, the guideway deflection-ratio and vehicle speed on the dynamic response of the maglev vehicle and guideway are then investigated using the 4th Runge-Kutta method. From the numerical simulation, it is found that the air gap increases with an increase of vehicle speed and the roughness condition. In particular, the dynamic magnification factor of the guideway girder is small at low and medium speeds, but the factor is noticeable at super-high speeds.

Calculation of Deflection Using the Acceleration Data for Concrete Bridges (가속도 계측 자료를 이용한 콘크리트 교량의 처짐 산정)

  • Yun, Young Koun;Ryu, Hee Joong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.15 no.5
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    • pp.92-100
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    • 2011
  • This paper describes a numerical modeling for deflection calculation using the natural frequency response that is measured acceleration response for concrete bridges. In the formulation of the dynamic deflection, the change amounts and the transformed responses about six kinds of free vibration responses are defined totally. The predicted response can be obtained from the measured acceleration data without requiring the knowledge of the initial velocity and displacement information. The relationship between the predicted response and the actual deflection is derived using the mathematical modeling that is induced by the process of a acceleration test data. In this study, in order to apply the proposed response predicted model to the integration scheme of the natural frequency domain, the Fourier Fast Transform of the deflection response is separated into the frequency component of the measured data. The feasibility for field application of the proposed calculation method is tested by the mode superposition method using the PSC-I bridges superstructures under several cases of moving load and results are compared with the actually measured deflections using transducers. It has been observed that the proposed method can asses the deflection responses successfully when the measured acceleration signals include the vehicle loading state and the free vibration behavior.

Effects of Stiffness Characteristics of Super-Structure on Soil-Structure Interaction (지반(地盤)에 대한 구조물(構造物)의 상대강도(相對剛度)가 지반(地盤)-구조물(構造物) 상호작용(相互作用)에 미치는 영향(影響))

  • Park, Hyung Ghee;Joe, Yang Hee;Lee, Yong Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.1
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    • pp.123-132
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    • 1985
  • The flexibility of base material gives considerable influences on seismic responses of a structure. The effects of relative stiffness between super-structure and base material on dynamic soil-structure interaction are evaluated by parametric studies. Two 5-story buildings are used for the study; one is shearwall structure with relatively higher fundamental frequency and the other is frame structure with relatively lower fundamental frequency. The structures are modeled as beam-sticks coupled with springs and dashpots representing the base material. Dynamic equilibrium equations of the soil-structure interaction system are sloved by mode superposition method using Rosset modal damping values. Soil-structure interaction effect is found to be major concern in seismic analysis of shearwall structure in most cases while it seldom becomes engineering problem in frame-type structure. It is also found that seismic responses at lower elevation of the super-structure are amplified though they decrease at higher elevation as soil-structure interaction effects of the system increase.

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A Study on the Dynamic Response of Steel Highway Bridges Using 3-D Vehicle Model (3차원(次元) 차량(車輛)모델을 사용(使用)한 강도로교(鋼道路橋)의 동적응답(動的應答) 관(關)한 연구(硏究))

  • Chung, Tae Ju;Park, Young Suk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1055-1067
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    • 1994
  • This paper is presented to perform linear dynamic analysis of bridges due to vehicle moving on bridges. The road surface roughness and bridge/vehicle interaction are also considered. The bridge and vehicle are modeled as 3-D bridge and vehicle model, respectively. The road surface roughness of the roadway and bridge decks are generated from power spectral density(PSD) function for good road. The PSD function proposed by C.J. Dodds and J.D. Robson is used to describe the road surface roughness for good road condition. The vehicles are modeled as two nonlinear vehicle model with 7-D.O.F of truck and 12-D.O.F of tractor-trailer and the equations of motion of the vehicles are derived using Lagrange's equation. The main girder and concrete deck are modeled as beam and shell element, respectively and rigid link is used between main girder and concrete deck. The equations of motion of the vehicles are solved by Newmark ${\beta}$ method and the equations of the motion of the bridges are solved by mode-superposition procedures. The validity of the proposed procedure is demonstrated by comparing the results with the experimental data reported by the AASHO Road Test. The comparison shows that the agreement between experiment and theory is quite satisfactory.

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Dynamic Response of PSC I shape girder being used wide upper flange in Railway Bridge (확장된 상부플랜지 PSC I형 거더교의 동특성 및 동적안정성 분석)

  • Park, Jong-Kwon;Jang, Pan-Ki;Cha, Tae-Gweon;Kim, Chan-Woo;Jang, Il-Young
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.19 no.4
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    • pp.125-135
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    • 2015
  • The tendency of more longer span length being required economical in railway bridges is studying about PSC I shaped girder. In this case, it is important to analyze and choose the effective girder section for stiffness of bridge. This study investigates the dynamic properties and safety of PSC I shaped girder being used wide upper flange whose selection based on radii and efficiency factor of flexure for railway bridge in different span type. In addition, 40m PSC Box girder bridge adopted in Honam high speed railway is further analyzed to compare dynamic performance of PSC I shaped girder railway bridge with same span length. Time history response is acquired based on the mode superposition method. Static analysis is also analyzed using standard train load combined with the impact factor. Consequently, the result met limit values in every case including vertical displacement, acceleration and distort.