• Title/Summary/Keyword: two mass spring system

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Free vibration analysis of cracked Timoshenko beams carrying spring-mass systems

  • Tan, Guojin;Shan, Jinghui;Wu, Chunli;Wang, Wensheng
    • Structural Engineering and Mechanics
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    • v.63 no.4
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    • pp.551-565
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    • 2017
  • In this paper, an analytical approach is proposed for determining vibration characteristics of cracked non-uniform continuous Timoshenko beam carrying an arbitrary number of spring-mass systems. This method is based on the Timoshenko beam theory, transfer matrix method and numerical assembly method to obtain natural frequencies and mode shapes. Firstly, the beam is considered to be divided into several segments by spring-mass systems and support points, and four undetermined coefficients of vibration modal function are contained in each sub-segment. The undetermined coefficient matrices at spring-mass systems and pinned supports are obtained by using equilibrium and continuity conditions. Then, the overall matrix of undetermined coefficients for the whole vibration system is obtained by the numerical assembly technique. The natural frequencies and mode shapes of a cracked non-uniform continuous Timoshenko beam carrying an arbitrary number of spring-mass systems are obtained from the overall matrix combined with half-interval method and Runge-Kutta method. Finally, two numerical examples are used to verify the validity and reliability of this method, and the effects of cracks on the transverse vibration mode shapes and the rotational mode shapes are compared. The influences of the crack location, depth, position of spring-mass system and other parameters on natural frequencies of non-uniform continuous Timoshenko beam are discussed.

Free Vibration of Beams with a Guided Mass and an Elastic Spring Support (안내질량을 갖는 탄성지지된 보의 자유진동)

  • Ryu, Bong-Jo;Lee, Gyu-Seop;Lee, Jong-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.176-184
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    • 1996
  • The paper describes the vibration characteristics of the mechanical system consisting of a uniform Timoshenko beam with a guided mass and an elastic spring support. The free end of the beam does not rotate and the spring attatched to the guided mass is elastically restrained against translation. The guided mass is assumed to be a rigid body having a finite size, but not a mass point as it has been assumed so far. The effect of magnitudes, rotary inertia and the size of the guided mass on the vibration characteristics is fully investigated by the numerical simulation using FEM and experiment. In order to verify the eigenvalue sensitivity for considered system, comparison exact solutions with FEM is conducted, and a good agreement between two solutions is also highlighted.

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Floated Wafer Motion Modeling of Clean Tube system

  • Shin, Dong-Hun;Yun, Chung-Yong;Jeong, Kyoo-Sik;Choi, Chul-Hwan
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1264-1268
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    • 2004
  • This paper presents a wafer motion modeling of the transfer unit and the control unit in the clean tube system, which was developed as a means for transferring the air-floated wafers inside the closed tube filled with the super clean airs. The motion in the transfer unit is modeled as a mass-spring-damper system where the recovering force by air jets issued from the perforated plate is modeled as a linear spring. The motion in the control unit is also modeled as another mass-spring-damper system, but in two dimensional systems. Experiments with a clean tube system built for 12-inch wafers show the validity of the presented force and motion models.

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Dynamic Mass-measurement control System of Acceleration and Displacement Sensing Type (가속도 변위 검출형 동적 질량 측정 제어 시스템)

  • Kim, B.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.6
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    • pp.109-116
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    • 1994
  • Quickness and precision are the two most important requirements for an industrial scale used in production lines. In this paper, a new approach, "Dynamic-Mass measurement control System of Acceleration and Displacement(DMS-AD) sensing", is presented to improve some of drowbacks in conventional scales. The system, consisted of acceleration and displace- ment sensors, spring scale and microcomputer, is based on full utilization of dynamic mass measurement of acceleration and displacement via microcomputer-assisted real time monitoring. The rsulting system, when combined with appropriate dynamic mass estimation algorithm software, has shown its effectiveness in terms of two desirable characteristics required. required.

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Vibration Characteristics of a Cantilevercd Beam with a Guided Mass and an Elastic Spring Supports (안내질량을 갖는 탄성지지된 외팔보의 진동 특성)

  • 류봉조;이규섭;이종원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.408-413
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    • 1994
  • The paper describes the vibration characteristics of the mechanical system consisting of a uniform cantilevered Timoshenko beam with a guided mass and an elastic spring supports. The free end of the beam does not rotate and the spring attatched to the guided mass is elastically restained against translation. The effect of magnitudes, rotary inertia and the size of the guided mass on the vibration characteristics is fully investigated by the numerical simulation using FEM and experiment. In order to verify the eigenvalue sensitivity for considered system, comparison exact solutions with FEM are conducted, and a good agreement between two solutions is also highlighted.

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Dual Mass Flywheel 시스템의 설계파라미터에 관한 연구

  • 송준혁
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1996.10a
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    • pp.167-172
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    • 1996
  • A Dual Mass Flywheel system is a evolution to the reduction of torsional vibration and impact noise occuring in powertrain when a vehicle is eit-her moving or idling. The name already explains what it is : The mass of the conventional single mass flywheel is divided. One section continues to belong to the mass moment of inertia of the engine-side. The ot-her section increass the mass moment of inertia of the transmission-side. The two masses are connected via a spring /damping system. This reduces the speed at which the dreaded resonance occurs to below idle speed. Since 1984 Dual Mass Flywheel has been de-veloped again and again. But the prosidures of de-velopment of D.M.F system didn't have had differe-nce from conventional clutch system's trial and err-or This paper presents the method for systematical design of D.M.F system with demensionless design variables of D.M.F system mass ratio between two flywheels λ. natual frequency rate of two flywheel s, ${\gamma}$and viscosity coefficient ζ. And experimental re-sults are used to prove these theoretical results.

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Identification of beam crack using the dynamic response of a moving spring-mass unit

  • An, Ning;Xia, He;Zhan, Jiawang
    • Interaction and multiscale mechanics
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    • v.3 no.4
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    • pp.321-331
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    • 2010
  • A new technique is proposed for bridge structural damage detection based on spatial wavelet analysis of the time history obtained from vehicle body moving over the bridge, which is different from traditional detection techniques based on the bridge response. A simply-supported Bernoulli-Euler beam subjected to a moving spring-mass unit is established, with the crack in the beam simulated by modeling the cracked section as a rotational spring connecting two undamaged beam segments, and the equations of motion for the system is derived. By using the transfer matrix method, the natural frequencies and mode shapes of the cracked beam are determined. The responses of the beam and the moving spring-mass unit are obtained by modal decomposition theory. The continuous wavelet transform is calculated on the displacement time histories of the sprung-mass. The case study result shows that the damage location can be accurately determined and the method is effective.

A Study on Design Parameters of Dual Mass Flywheel System (Dual Mass Flywheel 시스템의 설계 파라미터에 관한 연구)

  • 송준혁;홍동표;양성모
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.1
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    • pp.90-98
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    • 1998
  • A Dual Mass Flywheel(D.M.F.) system is an evolution to the reduction of torsional vibration and impact noise occurring in powertrain when a vehicle is either moving or idling. The D.M.F. system has two flywh-eels, which is different from the conventional clutch system. One section belongs to the mass moment of in-ertia of the engine-side. The other section increases the mass moment of inertia of the transmission-side. These two masses are connected via a spring/damping system. This reduces the speed at which the dreaded resonance occurs to below idle speed. Since 1984m D.M.F. system has been developed. However, the processes of development of D.M.F. system don't have any difference from the trial and error method of conventional clutch system. This paper present the method for systematical design of D.M.F. system with dimensionless design varia-bles of D.M.F. system, mass ratio between two flywheels, natural frequency rate of two flywheels, and visc-osity coefficient. And expermental results are used to prove these theoretical results.

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Integrated Displacement Feedback Control of a Self-levelling System (셀프레벨링 시스템을 위한 변위적분 피드백 제어 연구)

  • Lee, Young-Sup
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.12
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    • pp.1317-1326
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    • 2008
  • This paper presents a self.levelling system for a mass, which undergoes a severe acceleration, with integrated displacement feedback control. After a general description of such a system, theoretical analysis is investigated to design an active control device. The self-levelling system can be used to reduce the "quasi-static" deflection while isolating the "dynamic" vibration. A computer simulation model of 45 kg with two air spring mounts is considered to predict the performance of the control system. Important control parameters were acquired to meet the requirement of the system. The results showed the controller can reduce the displacement of the mass to the level of about 1/5 after control. Thus the self-levelling system can be applied usefully to reduce the displacement of a mass which experiences a high g dynamics.

Analysis of optimum condition for the suspension system with torsion bar spring (Torsion bar spring을 가진 현수장치에 대한 최적조건 해석)

  • 손병진;신영철
    • Journal of the korean Society of Automotive Engineers
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    • v.4 no.1
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    • pp.40-45
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    • 1982
  • The spring constant and damping coefficient are vital factors of ride comfort and driving stability in the vibration of the vehicle which is mainly induced by a variety of the surface irregularity. This paper reviewed the optimum condition of the damping factor derived from the typical model of two mass-two degrees of freedom. Through the evaluation and discussion, it was presented that the spring of the torsion bar type was not effective for the driving stability in the large displacement of the wheel, and also that the damper with progressive performance has to be fundamentally selected to meet the requirement of the driving suability when this kind of spring is used as a suspension system of the vehicle.

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