• Title/Summary/Keyword: Unsprung Mass

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Theoretical formulation for vehicle-bridge interaction analysis based on perturbation method

  • Tan, Yongchao;Cao, Liang;Li, Jiang
    • Structural Engineering and Mechanics
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    • v.82 no.2
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    • pp.191-204
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    • 2022
  • A three-mass vehicle model including one rigid mass and two unsprung masses is adopted to predict the vehicle-bridge interaction (VBI) and to establish the nonlinear coupled governing equations. To overcome the numerical instability and large computation problems concerning the vehicle-bridge system, the perturbation method is used to convert the nonlinear coupled governing equations into a set of linear uncoupled equations. Formulas for bridge's natural frequencies considering both the VBI and the dynamic responses of bridge and vehicle are proposed. Compared with the numerical results obtained by the Newmark-β method, the theoretical solutions for natural frequencies and dynamic responses are validated. The effects of the important factors of unsprung mass, vehicle damping, surface irregularity on the natural frequencies and dynamic responses of bridge and vehicle are discussed, based on the theoretical solutions.

Road Adaptive Skyhook Control and HILS for Semi-Active Macpherson Suspension Systems (맥퍼슨형 반능동 현가장치의 노면적응형 스카이훅 제어와 HILS)

  • 박배정;홍금식
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.1
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    • pp.34-44
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    • 2000
  • In this paper, a modified skyhook control for the semi-active Macpherson suspension system is investigated. A new model for the semi-active type suspension, which incorporates the rotational motion of the unsprung mass, is introduced and an output feedback control law using the skyhook control method is derived. The gains in the skyhook controller are adaptively adjusted by estimating the road conditions. Because two vertical acceleration sensors, one for the sprung mass and another for the unsprung mass, are used rather than using the angle sensor for the rotational motion of the control arm, the relative velocity of the rattle space is filtered using the acceleration signals. For testing the control performance, the actual damping force has been incorporated via the hardware-in-the-loop simulations. The performances of a passive damper and a semi-active damper are compared. Simulation results are provided.

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A New Model and Optimal Pole-Placement Control for the Suspension System of Macpherson Type (Macpherson형 현가장치의 새로운 모델링과 최적극배치 제어)

  • 홍금식;전동섭;김철민;유완석
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.6
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    • pp.713-721
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    • 1998
  • In this paper a new modeling and an optimal pole-placement control for the suspension system of Macpherson type are investigated. The rotational motion of the unsprung mass is emphasized in the new modeling. The two generalized coordinates selected in the new model are the vortical displacement of sprung mass and the angular displacement of control arm. Both variables are measured from their static equilibrium points. It is shown that the conventional model is a special case of the new model since the transfer function of the new model coincides with that of the conventional one if the lower support point of the shock absorber is located at the mass center of the unsprung mass. It is also shown that the resonance frequencies of the new model agree better with experimental results. Therefore, the new model is more general in the sense that it Provides an extra degree of freedom in determining the plant model for control system design. An optimal pole-placement control which combines LQ control and pole-placement technique is applied to the new model. Simulations are provided.

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Control of Active Suspension System Considering Wheel-Hop (차륜 진동을 고려한 능동 현가계 제어)

  • 이동락;한기봉;이시복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.420-424
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    • 1994
  • In this paper, an active suspension system considering the wheel hop is studied for a quarter car model. A LQ controller controls an active suspension system in which a vibration absorber is attached to the wheel axis. The vibration absorber is adopted to reduce the vibration near the natural frequency of the unsprung mass, and the LQ controller is used to control the vibration near the natural frequency of the sprung mass. The perfomance of the control system considering the wheel hop is compared with that of a LQ control system.

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The Effect of Moving Mass on Resonance Phenomenon and Natural Frequency of a Simply Supported Beam (이동질량을 고려한 단순지지된 교량의 진동수 및 공진현상 분석)

  • Min, Dong-Ju;Jung, Myung-Rag;Park, Sung-Min;Kim, Moon-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.1
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    • pp.27-38
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    • 2016
  • The purpose of this study is to investigate the influence of moving mass on the vibration characteristics and the dynamic response of the simply supported beam. The three types of the moving mass(moving load, unsprung mass, and sprung mass) are applied to the vehicle-bridge interaction analysis. The numerical analyses are then conducted to evaluate the effect of the mass, spring and damper properties of the moving mass on natural frequencies and dynamic responses of the simply supported beam. Particularly, in the case of the sprung mass, variations of the natural frequency of simply supported beam are explored depending on the position of the moving mass and the frequency ratio of the moving mass and the beam. Finally the parametric studies on the resonance phenomena are performed with changing mass, spring and damper parameters through the dynamic interaction analyses.

Characteristics of Electro-hydraulic Suspension According to Hydraulic Design Variables (유압설계 변수에 따른 전기유압식 현가장치의 특성)

  • Ko, Young-Ho;Lee, Gun-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.171-176
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    • 2008
  • Active suspension controls stiffness and damping between unsprung mass and sprung mass in order to increase the ride quality. However, to increase the riding quality, the handling quality should be decreased and the rattle space should be increased. So, active suspension should cope with these conflict conditions. Therefore its actuating devices have to produce sufficient actuating force and have sufficiently short response time. In this paper, the dynamic characteristics of 1/4 car model with an active suspension is studied according to hydraulic design variables. The active suspension consists of a hydraulic servo valve and a hydraulic cylinder. It shows better performance when it has more powerful and faster actuator.

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Vibrational Analysis of Slab Tracks Considering Wheel-Rail Interaction (차륜-레인 상호작용을 고려한 슬래브 궤도의 진동해석)

  • 이희현
    • Computational Structural Engineering
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    • v.7 no.2
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    • pp.77-87
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    • 1994
  • Vibrational analysis of slab tracks for HSR(High Speed Rail) is performed in order to find dynamic characteristics and to control noise and vibration for the tracks. Wheel-rail interactive force is included in the analysis by modelling the vehicle and track as an unsprung mass and elastically-supported-double-beam respectively, and both are assumed to be connected by the Hertzian spring. From this study, it has been found that vibration in the track and the force transmitted to the infrastructure could be reduced by controlling elasticity, mass and stiffness of the track supporting system appropriately.

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Dynamics of a bridge beam under a stream of moving elements -Part 2 - Numerical simulations

  • Podworna, M.
    • Structural Engineering and Mechanics
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    • v.38 no.3
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    • pp.301-314
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    • 2011
  • The paper constitutes the second part of the author's study. The first part (Podworna 2010) formulates four fundamental tasks in dynamics of the bridge-track-train systems. The following cyclic moving loads are considered: a concentrated forces stream (model P), an unsprung masses stream (model M), a single-mass viscoelastic oscillators stream (model $M_o$) and a double-mass viscoelastic oscillators stream (model $MM_o$). Three problems precluding to the numerical simulations have been developed, i.e., prediction of the forced resonances, the parameters of integration of equations of motion, the output results. A computer programme was written in Pascal and numerical research in the scope of the fundamental tasks was worked out. The investigations were focused on adequacy evaluation of the moving load models, P, M, $M_o$, $MM_o$, in predicting dynamic processes in railway bridges.

A study on the analysis of vehicle dynamic characteristics for the improvement of suspension system (현가 장치 개선을 위한 차량 동특성 해석에 관한 연구)

  • Lee, I.H.;Lim, W.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.9
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    • pp.130-138
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    • 1997
  • In this study, to improve the ride and handling characteristics of the vehicle whose hard points have been already fixed, a tuning method of load spring, damper and stabilizer bar is described. For the suspension system of vehicle, optimized design is necessary to satisfy the incompatible two dynamic characteristics which are the ride isolation property between unsprung mass and sprung mass to reduce the excitation from the road and the accurate correring response property to specific steering inputs. To accomplish above aims, we may approach by experimental method, but it requires to sacrifice much time and cost. This paper, therefore, provides a process of suspension development to improve the ride and handling properties by using computer simulation with saving time and cost, and as results, comparaes the dynamic characteristics of the tuned vehicle with the base vehicle not tuned.

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