• 제목/요약/키워드: dynamic amplification factors

검색결과 44건 처리시간 0.021초

Dynamic response of Euler-Bernoulli beams to resonant harmonic moving loads

  • Piccardo, Giuseppe;Tubino, Federica
    • Structural Engineering and Mechanics
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    • 제44권5호
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    • pp.681-704
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    • 2012
  • The dynamic response of Euler-Bernoulli beams to resonant harmonic moving loads is analysed. The non-dimensional form of the motion equation of a beam crossed by a moving harmonic load is solved through a perturbation technique based on a two-scale temporal expansion, which permits a straightforward interpretation of the analytical solution. The dynamic response is expressed through a harmonic function slowly modulated in time, and the maximum dynamic response is identified with the maximum of the slow-varying amplitude. In case of ideal Euler-Bernoulli beams with elastic rotational springs at the support points, starting from analytical expressions for eigenfunctions, closed form solutions for the time-history of the dynamic response and for its maximum value are provided. Two dynamic factors are discussed: the Dynamic Amplification Factor, function of the non-dimensional speed parameter and of the structural damping ratio, and the Transition Deamplification Factor, function of the sole ratio between the two non-dimensional parameters. The influence of the involved parameters on the dynamic amplification is discussed within a general framework. The proposed procedure appears effective also in assessing the maximum response of real bridges characterized by numerically-estimated mode shapes, without requiring burdensome step-by-step dynamic analyses.

Wind-induced dynamic response of recessed balcony facades

  • Matthew J. Glanville;John D. Holmes
    • Wind and Structures
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    • 제38권3호
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    • pp.193-202
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    • 2024
  • Modern high-rise tower designs incorporating recessed balcony cavity spaces can be prone to high-frequency and narrow-band Rossiter aerodynamic excitations under glancing incident winds that can harmonize and compete with recessed balcony volume acoustic Helmholtz modes and facade elastic responses. Resulting resonant inertial wind loading to balcony facades responding to these excitations is additive to the peak design wind pressures currently allowed for in wind codes and can present as excessive facade vibrations and sub-audible throbbing in the serviceability range of wind speeds. This paper presents a methodology to determine Cavity Amplification Factors to account for façade resonant inertial wind loads resulting from balcony cavity aero-acoustic-elastic resonances by drawing upon field observations and the results of full-scale monitoring and model-scale wind tunnel tests. Recessed balcony cavities with single orifice type openings and located within curved façade tower geometries appear particularly prone. A Cavity Amplification Factor of 1.8 is calculated in one example representing almost a doubling of local façade design wind pressures. Balcony façade and tower design recommendations to mitigate wind induced aero-acoustic-elastic resonances are provided.

Aluminum and E-glass epoxy plates behavior subjected to shock loading

  • Muhit, Imrose B.;Sakib, Mostofa N.;Ahmed, Sheikh S.
    • Advances in materials Research
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    • 제6권2호
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    • pp.155-168
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    • 2017
  • The terrorist attacks and dangers by bomb blast have turned into an emerging issue throughout the world and the protection of the people and structures against terrorist acts depends on the prediction of the response of structures under blast and shock load. In this paper, behavior of aluminum and unidirectionally reinforced E-Glass Epoxy composite plates with and without focal circular holes subjected to shock loading has been identified. For isotropic and orthotropic plates (with and without holes) the classical normal mode approach has been utilized as a part of the processing of theoretical results. To obtain the accurate results, convergence of the results was considered and a number of modes were selected for plate with and without hole individually. Using a shock tube as a loading device, tests have been conducted to composite plates to verify the theoretical results. Moreover, peak dynamic strains, investigated by experiments are also compared with the theoretical values and deviation of the results are discussed accordingly. The strain-time histories are likewise indicated for a specific gauge area for aluminum and composite plates. Comparison of dynamic-amplification factors between the isotropic and the orthotropic plates with and without hole has been discussed.

탄성받침을 사용한 도로교의 충격하중특성 분석 (Vehicular Impact Loading on with Laminated Rubber Bearing)

  • 김상효;허진영;신용준;이용선
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.230-237
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    • 2000
  • The purpose of this study is to evaluate the dynamic behavior of highway bridge due to moving vehicle load, considering the effect of laminated rubber bearing. Dynamic behaviors of bridge considering the effect of bearings are studied with 3-dimensional bridge and vehicle models. To analyze the effect of bearings on the dynamic behaviors of superstructures of bridges, laminated rubber bearing is modeled as 3-dimensional frame element with equivalent stiffness and damping, and the models are included in the bridge analysis model. The results from the analytical models with laminated rubber bearing show a significant effects on dynamic responses and more complex vibration characteristics compared with the results from the bridge with pot bearings. Generally, larger dynamic amplification factors are obtained in the case of laminated rubber bearing, which is mainly due to the smaller torsional stiffness of the bridge with laminated rubber bearing. It can be recommended that were careful consideration on the vibration of bridges and dynamic load allowance in design are needed when adopting laminated rubber bearing.

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기준관측소 방법을 이용한 댐체 기반암의 동적 지반증폭특성 (The Dynamic Basement Amplification Characteristics of a Dam Site using a Reference Site Method)

  • 위성훈;김준경;유성화
    • 한국지구과학회지
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    • 제38권2호
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    • pp.161-171
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    • 2017
  • 관측된 지반진동은 지진원, 지각감쇠 및 지반의 증폭특성 등 3가지 주요 인자로 구성되어 있고 특히 지반증폭 특성은 지진원 및 감쇠특성을 평가할 때 필요하다. 또한 지진재해도를 분석하기 위해 지반의 증폭 특성에 정보가 내진공학 뿐만 아니라 암반공학적 특성 분석에서 필수적이다. 지반의 증폭특성 분석을 위해 분석대상 관측소와 기준 관측소 지반진동의 수평/수직 비를 이용하는 방법을 적용하였다. 기존의 기준관측소의 수직성분 방법에 더하여 새로이 기준관측소의 수평성분 방법을 새로이 시도하였다. 본 연구는 예당저수지 인근에 설치한 4개의 관측소에서 관측된 6개의 가속도 지반진동을 이용하여 각 지반진동의 S파, Coda파 및 배경잡음 각각을 분석한 지반증폭 특성을 상호 비교하였다. 4개 관측소 공통적으로 S파와 Coda파를 이용한 결과는 상호 유사한 지반증폭 특성을 보였다. 다만 배경잡음은 다른 2개 지진 에너지와 비교할 때 전혀 다른 지반증폭 특성을 보였고 이는 배경잡음의 발생 원인이 관측소 마다 서로 다르기 때문으로 입증되었다. 4개 각각의 지진 관측소마다 저주파수 및 고주파수 증폭특성과 관측소 고유의 우월주파수가 서로 상이하여 관측소 고유의 증폭특성을 보여주었다. 또한 본 연구의 결과와 다른 방법의 결과와 비교하면 지반의 동적특성 및 지반분류 연구에 많은 정보를 제시할 수 있다.

Aeroelastic modeling to investigate the wind-induced response of a multi-span transmission lines system

  • Azzi, Ziad;Elawady, Amal;Irwin, Peter;Chowdhury, Arindam Gan;Shdid, Caesar Abi
    • Wind and Structures
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    • 제34권2호
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    • pp.231-257
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    • 2022
  • Transmission lines systems are important components of the electrical power infrastructure. However, these systems are vulnerable to damage from high wind events such as hurricanes. This study presents the results from a 1:50 scale aeroelastic model of a multi-span transmission lines system subjected to simulated hurricane winds. The transmission lines system considered in this study consists of three lattice towers, four spans of conductors and two end-frames. The aeroelastic tests were conducted at the NSF NHERI Wall of Wind Experimental Facility (WOW EF) at the Florida International University (FIU). A horizontal distortion scaling technique was used in order to fit the entire model on the WOW turntable. The system was tested at various wind speeds ranging from 35 m/s to 78 m/s (equivalent full-scale speeds) for varying wind directions. A system identification (SID) technique was used to evaluate experimental-based along-wind aerodynamic damping coefficients and compare with their theoretical counterparts. Comparisons were done for two aeroelastic models: (i) a self-supported lattice tower, and (ii) a multi-span transmission lines system. A buffeting analysis was conducted to estimate the response of the conductors and compare it to measured experimental values. The responses of the single lattice tower and the multi-span transmission lines system were compared. The coupling effects seem to drastically change the aerodynamic damping of the system, compared to the single lattice tower case. The estimation of the drag forces on the conductors are in good agreement with their experimental counterparts. The incorporation of the change in turbulence intensity along the height of the towers appears to better estimate the response of the transmission tower, in comparison with previous methods which assumed constant turbulence intensity. Dynamic amplification factors and gust effect factors were computed, and comparisons were made with code specific values. The resonance contribution is shown to reach a maximum of 18% and 30% of the peak response of the stand-alone tower and entire system, respectively.

열차하중의 주행에 의한 트러스교의 동적응답에 관한 연구 (A Study on Dynamic Response of Truss Bridge due to Moving Train Loads)

  • 장동일;최강희;이종득
    • 대한토목학회논문집
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    • 제9권2호
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    • pp.1-10
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    • 1989
  • 본 연구에서는 열차가 일정한 속도로 주행할 때 트러스교에 얼어나는 동적응답을 구해보았다. 해석은 Householder 변환과 QL법을 이용하여 고유치해석을 실시한 후 이를 토대로 모든중첩법에 의해 동적응답을 구했으며, 이것의 타당성을 밝히기 위해서는 먼저 아주 느린 속도로 하중이 주행할 때 얻어지는 응답을 정적해석프로그램에 의한 결과치와 비교하였고, 동적응답은 직접 적분법에 의한 결과 치와 비교해 보았다. 그리고 이를 토대로 열차의 속도와 형태의 변화에 따른 동적확대계수의 변화를 살펴보았으며, 또한 그것들을 시방서 규정과 비교해 보았다. 그 결과 열차의 속도가 낮은 경우 동적확대계수는 열차의 형태에 관계없이 비교적 낯은 값이 있었으나 속도가 높아질수록 형태에 따라 크게 다르고, 전도차 및 U. I. C. 하중의 경우는 그값이 시방서 규정을 초과하는 경우도 있음을 알수 있었다.

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Study of modified Westergaard formula based on dynamic model test on shaking table

  • Wang, Mingming;Yang, Yi;Xiao, Weirong
    • Structural Engineering and Mechanics
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    • 제64권5호
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    • pp.661-670
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    • 2017
  • The dynamic model test of dam-reservoir coupling system for a 203m high gravity dam is performed to investigate effects of reservoir water on dynamic responses of dam during earthquake. The hydrodynamic pressure under condition of full reservoir, natural frequencies and acceleration amplification factors along the dam height under conditions of full and empty reservoir are obtained from the test. The results indicate that the reservoir water have a stronger influence on the dynamic responses of dam. The measured natural frequency of the dam model under full reservoir is 21.7% lower than that of empty reservoir, and the acceleration amplification factor at dam crest under full reservoir is 18% larger than that under empty reservoir. Seismic dynamic analysis of the gravity dams with five different heights is performed with the Fluid-Structure Coupling Model (FSCM). The hydrodynamic pressures from Westergaard formula are overestimated in the lower part of the dam body and underestimated in its upper part to compare with those from the FSCM. The underestimation and overestimation are more significance with the increase of the dam height. The position of the maximum hydrodynamic pressure from the FSCM is raised with the increase of dam height. In view of the above, the Westergaard formula is modified with consideration in the influence of the height of dam, the elasticity of dam on the hydrodynamic pressure. The solutions of modified Westergaard formula are quite coincident with the hydrodynamic pressures in the model test and the previous report.

I형 거더교의 동력분산형 하중에 대한 동적해석 (Dynamic Analysis of I-Type Girder Bridge with HEMU Train Load)

  • 이태규;김혜욱
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2010년도 춘계학술대회 논문집
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    • pp.1279-1286
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    • 2010
  • This paper deals with the influence on the dynamic response of I-type girder railway bridge with high-speed electric multiple unit(HEMU) train load. This bridge system which has six I-girder and several cross beams, is modeled with plate and frame elements. And the upper slab is assumed to be fully connected with girders using rigid rinks. Span lengths, types of vehicle and running speeds are selected as parameters for analyses. For more exact analysis, it was adopted that 3-dimensional section of bridge models was produced by the assumed design wheel loads of HEMU vehicle at 200~350 km/hr speeds. Dynamic vertical deflections, dynamic amplification factors and vertical accelerations of bridges having 30 and 35 m span length were investigated and compared with the limit values specified in various national railway bridge specifications.

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무도상 판형교의 동적거동특성 분석을 위한 해석적 연구 (Numerical Analysis to Investigate Dynamic Characteristics of Steel Plate Girder Railway Bridges without Ballast)

  • 최진유;오지택;김현민;김영국
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 추계학술대회 논문집(II)
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    • pp.1080-1085
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    • 2002
  • A dynamic characteristics of existing steel plate girder railway bridges without ballast were investigated from the finite element analysis. Span lengths, types of vehicle and running speeds are selected as parameters for analyses. For more exact analysis, it was adopted that 3-dimensional bridge models and wheel loads were produced by averaging field measured wheel loads of running vehicles at various speeds. Dynamic vertical deflections, dynamic amplification factors and vertical accelerations of bridges having 9m, 12m and 18m span length were investigated and compared with the limit values specified in Korean railway bridge specification.

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