• 제목/요약/키워드: Non-linear Torsional Vibration

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얇은 직사각형 외팔보의 비선형 진동현상 (Nonlinear Vibration Phenomenon for the Slender Rectangular Cantilever Beam)

  • 박철희;조종두;박창호
    • 한국소음진동공학회논문집
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    • 제14권12호
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    • pp.1314-1321
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    • 2004
  • The non-linear responses of a slender rectangular cantilever beam subjected to lateral harmonic base-excitation are investigated by the 2-channel FFT analyzer. Both linear and nonlinear behaviors of the cantilever beam are compared with each other. Bending mode, torsional mode, and transverse mode are coupled in such a way that the energy transfer between them are observed. Especially, superharmonic, subharmonic, and chaotic motions which result from the unstable inertia terms in the transverse mode are analyzed by the FFT analyzer The aim is to give the explanations of the route to chaos, i.e., harmonic motion \longrightarrow superharmonic motion \longrightarrow subharmonic motion \longrightarrow chaos.

고점도 실리콘오일 적용 점성댐퍼 동특성을 고려한 추진축계 최적 설계 (Optimum design of propulsion shafting system considering characteristics of a viscous damper applied with high-viscosity silicon oil)

  • 김양곤;조권회;김의간
    • Journal of Advanced Marine Engineering and Technology
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    • 제41권3호
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    • pp.202-208
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    • 2017
  • 최근 개발된 선박용 주기관은 추진효율 향상과 연료소비율 저감기술이 요구됨에 따라 과거에 비해 높은 비틀림진동 기진력 특성을 갖고 있다. 따라서 이를 제어하기 위해 기본적으로 엔진 선단에 점성 댐퍼나 점성-스프링댐퍼를 장착한다. 점성댐퍼의 경우 댐퍼 내부에 채워진 실리콘 오일이 탄성적인 연결이 없다고 가정하고 댐퍼설계를 하여 왔으나 고점도 실리콘 오일은 높은 점도에 따른 비틀림 강성이 존재할 뿐만 아니라 작동온도와 주파수에 따라 비선형적인 동특성을 갖는다. 본 논문에서는 고점도 실리콘 오일이 적용된 점성댐퍼의 동특성을 확인하고 해당 댐퍼가 장착된 축계의 비틀림진동 특성을 검토하였다. 이를 위해 점성댐퍼의 최적 동특성을 이론적으로 해석하는 방법을 검토하였고, 고점도 실리콘 오일로 채워진 점성댐퍼로 해당축계의 비틀림진동 제어를 하는 경우 댐퍼 작동온도 및 경년변화를 고려한 추진축계 최적 설계 방안에 대해서 검토하였다.

유격을 고려한 노즈 랜딩기어의 비선형 쉬미 해석 (Non-linear Shimmy Analysis of a Nose Landing Gear with Free-play)

  • 이미선;황재업;배재성;황재혁
    • 한국항공우주학회지
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    • 제38권10호
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    • pp.973-978
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    • 2010
  • 본 논문에서는 유격을 고려한 항공기 전방 착륙 장치의 쉬미 현상을 연구하였다. 쉬미는 항공기의 이착륙 시 랜딩기어가 주행도중 측방향과 조향방향으로 진동에 놓이는 현상이다. 이 현상은 스트럿의 낮은 강성, 랜딩기어 내부의 마찰과 유격, 휠의 불균형이나 마모된 부품 등으로 인해 발생하며, 항공기의 안정성을 저하시킨다. 유격은 비선형 요소이기 때문에 기술 함수로 선형화 하여 주파수 영역에서 안정성해석을 수행하였고, 4차 Runge - Kutta를 이용하여 시간영역에서 안정성해석을 수행하였다. 본 연구에서는 수치적인 해석법을 통해 쉬미현상의 선형 동특성과 비선형 동특성을 조사하였다. 유격을 고려한 비선형 수치 해석결과, 선형 임계속도보다 낮은 속도에서 제한주기진동이 발생하는 등, 유격으로 인해 쉬미 안정성이 저감되는 결과를 관찰하였다.

Response of non-structural components mounted on irregular RC buildings: comparison between FE and EC8 predictions

  • Aldeka, Ayad B.;Chan, Andrew H.C.;Dirar, Samir
    • Earthquakes and Structures
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    • 제6권4호
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    • pp.351-373
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    • 2014
  • This paper investigates the seismic response of lightweight acceleration-sensitive non-structural components (NSCs) mounted on irregular reinforced concrete (RC) primary structures (P-structures) using non-linear dynamic finite element (FE) analysis. The aim of this paper is to study the influence of NSC to P-structure vibration period ratio, peak ground acceleration, NSC to P-structure height ratio, and P-structure torsional behaviour on the seismic response of the NSCs. Representative constitutive models were used to simulate the behaviour of the RC P-structures. The NSCs were modelled as vertical cantilevers fixed at their bases with masses on the free ends and varying lengths so as to match the frequencies of the P-structures. Full dynamic interaction is considered between the NSCs and P-structures. A set of 21 natural and artificial earthquake records were used to evaluate the seismic response of the NSCs. The numerical results indicate that the behaviour of the NSCs is significantly influenced by the investigated parameters. Comparison between the FE results and Eurocode (EC8) predictions suggests that EC8 underestimates the response of NSCs mounted on the flexible sides of irregular RC P-structures when the fundamental periods and heights of the NSCs match those of the P-structures. The perceived cause of this discrepancy is that EC8 does not take into account the amplification in the dynamic response of NSCs induced by the torsional behaviour of RC P-structures.

Tuned liquid column dampers with adaptive tuning capacity for structural vibration control

  • Shum, K.M.;Xu, Y.L.
    • Structural Engineering and Mechanics
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    • 제20권5호
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    • pp.543-558
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    • 2005
  • The natural frequencies of a long span bridge vary during its construction and it is thus difficult to apply traditional tuned liquid column dampers (TLCD) with a fixed configuration to reduce bridge vibration. The restriction of TLCD imposed by frequency tuning requirement also make it difficult to be applied to structure with either very low or high natural frequency. A semi-active tuned liquid column damper (SATLCD), whose natural frequency can be altered by active control of liquid column pressure, is studied in this paper. The principle of SATLCD with adaptive tuning capacity is first introduced. The analytical models are then developed for lateral vibration of a structure with SATLCD and torsional vibration of a structure with SATLCD, respectively, under either harmonic or white noise excitation. The non-linear damping property of SATLCD is linearized by an equivalent linearization technique. Extensive parametric studies are finally carried out in the frequency domain to find the beneficial parameters by which the maximum vibration reduction can be achieved. The key parameters investigated include the distance from the centre line of SATLCD to the rotational axis of a structure, the ratio of horizontal length to the total length of liquid column, head loss coefficient, and frequency offset ratio. The investigations demonstrate that SATLCD can provide a greater flexibility for its application in practice and achieve a high degree of vibration reduction. The sensitivity of SATLCD to the frequency offset between the damper and structure can be improved by adapting its frequency precisely to the measured structural frequency.

마찰을 고려한 노즈 랜딩기어의 비선형 쉬미 해석 (Non-linear Shimmy Analysis of a Nose Landing Gear with Friction)

  • 이미선;배재성;황재혁
    • 한국항공우주학회지
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    • 제39권7호
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    • pp.605-611
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    • 2011
  • 쉬미는 항공기의 이착륙 시 랜딩기어가 주행도중 측방향 및 조향방향의 진동이 발생하는 현상이다. 쉬미 현상은 스트럿의 낮은 강성, 랜딩기어 내부의 유격, 휠의 불균형이나 마모된 부품 등으로 인해 발생하며, 항공기의 안정성을 저하시킨다. 본 연구는 소형항공기의 쉬미 안정성 검토를 위해 수행되었다. 수치해석을 위하여 소형항공기의 전방 착륙장치를 선형시스템으로 모델링하고 상태방정식을 수립하였다. 근궤적 기법을 이용한 주파수 영역 해석과 4차 Runge-Kutta 방법을 이용한 시간영역 해석을 통해 쉬미 현상을 예측하였고 주요 변수의 설계범위를 검토하였다. 현 착륙장치는 와셔의 압축력을 이용하여 조향 방향 마찰을 가함으로써 쉬미현상을 저감하는 기법을 채택하고 있으므로 마찰을 기술함수를 이용하여 선형화시키고 상태방정식에 적용하여 해석을 수행함으로써 쉬미의 발생이 저감되는 결과를 확인하였다.

원호형 띠기초의 자유진동 해석 (Free Vibration Analysis of Circular Strip Foundations)

  • 이종국;강희종;이병구
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.898-901
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    • 2004
  • Since soil-structure interactions are one of the most important subjects in the structural/foundation engineering, much study concerning the soil-structure interactions had been carried out. One of typical structures related to the soil-structure interactions is the strip foundation which is basically defined as the beam or strip rested on or supported by the soils. At the present time, lack of studies on dynamic problems related to the strip foundations is still found in the literature. From these viewpoint, this paper aims to theoretically investigate dynamics of the circular strip foundations and also to present the practical engineering data for the design purpose. Differential equations governing the free, out-of-plane vibrations of such strip foundations are derived, in which effects of the rotatory and torsional inertias and also shear deformation are included although the warping of the cross-section is excluded. Governing differential equations subjected to the boundary conditions of corresponding end constraints are numerically solved for obtaining the natural frequencies and mode shapes by using the numerical integration technique and the numerical method of non-linear equation.

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Soil-structure interaction and axial force effect in structural vibration

  • Gao, H.;Kwok, K.C.S.;Samali, B.
    • Structural Engineering and Mechanics
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    • 제5권1호
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    • pp.1-19
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    • 1997
  • A numerical procedure for dynamic analysis of structures including lateral-torsional coupling, axial force effect and soil-structure interaction is presented in this study. A simple soil-structure system model has been designed for microcomputer applications capable of reflecting both kinematic and inertial soil-foundation interaction as well as the effect of this interaction on the superstructure response. A parametric study focusing on inertial soil-structure interaction is carried out through a simplified nine-degree of freedom building model with different foundation conditions. The inertial soil-structure interaction and axial force effects on a 20-storey building excited by an Australian earthquake is analysed through its top floor displacement time history and envelope values of structural maximum displacement and shear force.

Particle filter approach for extracting the non-linear aerodynamic damping of a cable-stayed bridge subjected to crosswind action

  • Aljaboobi Mohammed;Shi-Xiong Zheng;Al-Sebaeai Maged
    • Wind and Structures
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    • 제38권2호
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    • pp.119-128
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    • 2024
  • The aerodynamic damping is an essential factor that can considerably affect the dynamic response of the cable-stayed bridge induced by crosswind load. However, developing an accurate and efficient aerodynamic damping model is crucial for evaluating the crosswind load-induced response on cable-stayed bridges. Therefore, this study proposes a new method for identifying aerodynamic damping of the bridge structures under crosswind load using an extended Kalman filter (EKF) and the particle filter (PF) algorithm. The EKF algorithm is introduced to capture the aerodynamic damping ratio. PF technique is used to select the optimal spectral representation of the noise. The effectiveness and accuracy of the proposed solution were investigated through full-scale vibration measurement data of the crosswind-induced on the bridge's girder. The results show that the proposed solution can generate an efficient and robust estimation. The errors between the target and extracted values are around 0.01mm and 0.003^o, respectively, for the vertical and torsional motion. The relationship between the amplitude and the aerodynamic damping ratio is linear for small reduced wind velocity and nonlinear with the increasing value of the reduced wind velocity. Finally, the results show the influence of the level of noise.

타원형 띠기초의 자유진동 해석 (Free Vibration Analysis of Elliptic Strip Foundation)

  • 이태은;강희종;김권식;이병구
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.548-555
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    • 2005
  • Since soil-structure interactions are one of the most important subjects in the structural/foundation engineering, much study concerning the soil-structure interactions had been carried out. One of typical structures related to the soil-structure interactions is the strip foundation which is basically defined as the beam or strip rested on or supported by the soils. At the present time, lack of studies on dynamic problems related to the strip foundations is still found in the literature. From these viewpoint, this paper aims to theoretically investigate dynamics of the elliptic strip foundations and also to present the practical engineering data for the design purpose. Differential equations governing the free, out-of-plane vibrations of such sap foundations we derived, in which effects of the rotatory and torsional inertias and also shear deformation are included although the warping of the cross-section is excluded. Governing differential equations subjected to the boundary conditions of free-free end constraints are numerically solved for obtaining the natural frequencies and mode shapes by using the numerical integration technique and the numerical method of non-linear equation.

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