• Title/Summary/Keyword: Mass-Spring

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Alternative approach for the derivation of an eigenvalue problem for a Bernoulli-Euler beam carrying a single in-span elastic rod with a tip-mounted mass

  • Gurgoze, Metin;Zeren, Serkan
    • Structural Engineering and Mechanics
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    • v.53 no.6
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    • pp.1105-1126
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    • 2015
  • Many vibrating mechanical systems from the real life are modeled as combined dynamical systems consisting of beams to which spring-mass secondary systems are attached. In most of the publications on this topic, masses of the helical springs are neglected. In a paper (Cha et al. 2008) published recently, the eigencharacteristics of an arbitrary supported Bernoulli-Euler beam with multiple in-span helical spring-mass systems were determined via the solution of the established eigenvalue problem, where the springs were modeled as axially vibrating rods. In the present article, the authors used the assumed modes method in the usual sense and obtained the equations of motion from Lagrange Equations and arrived at a generalized eigenvalue problem after applying a Galerkin procedure. The aim of the present paper is simply to show that one can arrive at the corresponding generalized eigenvalue problem by following a quite different way, namely, by using the so-called "characteristic force" method. Further, parametric investigations are carried out for two representative types of supporting conditions of the bending beam.

Dynamic Analysis of Linear Oscillatory Actuator for Stirling Refrigerator (스털링 냉동기용 리니어 왕복 액추에이터의 동특성 해석)

  • Jeong, S.S.;Yoon, I.K.;Jang, S.M.;Park, S.J.;Hong, Y.J.
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.673-675
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    • 2002
  • In this paper. the lumped electrical circuit approach of mass/spring system is used to model the mechanical aspects according to the frequency. Therefore, the mass/spring system can be dealt with here and linked with the equivalent circuit of electric linear oscillatory actuator(LOA). Analysis models are double-coil type linear compressor for stirling refrigerator. The compressor consists of the moving coil LOA, piston, and spring. The electro-mechanical system with mass and spring can be represented using the lumped electrical circuit. We present the system impedance and dynamics of moving coil linear compressor.

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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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A Study on Mass Flow Control and FEA of Plate Spring Attached in Piezoelectric Ceramic (세라믹 압전체에 부착된 판 스프링의 유한요소해석과 질량 흐름 제어에 관한 연구)

  • Lee, S.K.;Kim, Y.S.
    • Journal of Power System Engineering
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    • v.7 no.4
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    • pp.61-66
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    • 2003
  • In this paper, the relation between displacement of piezoelectric material and electric field was proposed. FEA was introduced to predict the displacement and reaction force of plate spring attached in the piezoelectric material. The relation between displacement of piezoelectric material forced by plate spring and applied electric field were further verified by experimental investigation. Also, the flow rate of gas in piezoelectric valve was examined by experiment. Finally, the relation between electric field and gas flow was derived. Based on these results, these relations can be used in the design of mass flow controller.

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Improvement of absorption characteristics by insert devices in a vertical tube (수직관내 삽입기구에 의한 흡수특성의 향상)

  • 김병주;신광섭;문형석
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.10 no.4
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    • pp.466-474
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    • 1998
  • In the present study, the improvement of absorption characteristics by installing insert devices, such as spring and wire screen, inside the vertical tube absorber were studied experimentally. Momentum, heat and mass transfer rate in the absolution process of smooth bare tube, smooth tube with spring-insert, and with wire screen-insert were compared and analysed in range of film Reynolds number of 40∼200. The improvement of heat transfer rate by spring-insert and screen-insert were remarkable especially in the low Reynolds number region. As the mesh number increased in screen-insert and as the pitch decreased in spring-insert, Nusselt and Sherwood number increased. Degradation of mass transfer by non-absorbable gas showed similar qualitative trends regardless of the insert type.

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Stress Analysis for Torsional Spring Box of Radial Dual Mass Flywheel (원판형 이중 질량 플라이휠의 비틀림 스프링 장치의 응력해석에 관한 연구)

  • 최병기;노승훈;남욱희;김광수;최성종;이춘열;채영석
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.6
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    • pp.147-154
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    • 2003
  • Radial Dual Mass Flywheel(RDMF) is designed to reduce torsional vibration and noise occurring in automotive powertrain. In this paper, finite element method is used to evaluate stress level and critical area of the torsional spring box, a major part of RDNF system. In finite element analysis, both static and dynamic loadings are considered and it is found that the most critical spot is the welded zone of spring box. Also, fatigue test is performed and fractured surfaces are examined to find fatigue stress level by experiment.

Impedance Modeling and Frequency Response of Moving-Magnet Linear Actuator Considering Mass/Spring System (질량/스프링계를 고려한 가동자석형 왕복 액추에이터의 등가임피던스 모델링 및 주파수 특성해석)

  • Jang, Seok-Myeong;Choi, Jang-Young;Cho, Han-Wook;You, Dae-Joon;Jeong, Sang-Sub
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.1303-1305
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    • 2005
  • This paper deals with the impedance modeling and frequency response of moving-magnet linear actuator considering mass/spring system. By expressing mechanical components as electrical components such as impedance from the motion equation, this paper investigates not only the variation of system impedance according to system parameters such as moving mass, thrust constant, the coefficient of elasticity for spring and damping coefficient but also the variation of power vs. frequency for moving-magnet linear actuator with spring.

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Dynamic Behavior of Spring Supported Cantilever Beam with Crack and Moving Mass (크랙과 이동질량을 가진 탄성지지 외팔보의 진동특성)

  • Ahn, Sung-Jin;Son, In-Soo;Yoon, Han-Ik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.534-537
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    • 2004
  • In this paper, a dynamic behavior of spring supported cantilever beam with a crack and a moving mass is presented. Based on the Euler-Bernoulli beam theory, the equation of motion can be constructed by using the Lagrange's eauation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments i.e. the crack is modelled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section and is derived by applying fundamental fracture mechanics theory. And the crack is assumed to be in the first mode of fracture. As the depth of the crack is increased the tip displacement of the cantilever beam is increased.

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Influence of Elastic Restraints and Tip Mass at Free End on stability of Leipholz Column (Leipholz 기둥의 안정성에 미치는 자유단의 탄성구속과 말단질량의 영향)

  • 윤한익;박일주;진종태;김영수
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.04a
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    • pp.309-315
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    • 1996
  • An analysis is presented on the stability of elastic cantilever column subjected to uniformly distributed follower forces as to the influence of the elastic restraints and a tip mass at the free end. The elastic restraints are formed by both the translational and the rotatory springs. For this purpose, the governing equations and boundary conditions are derived by using Hamilton's principle, and the critical flutter loads and frequencies are obtained from the numerical evaluation of the eigenvalue functions of this elastic system. The added tip mass increases as a whole the critical flutter load in this system, but the presence of its moment of inertia of mass has a destabilizing effect. The existence of the translational and rotatory spring at the free end increases the critical flutter load of the elastic cantilever column. Nevertheless their effects on the critical flutter load are not uniform because of their coupling. The translational spring restraining the end of cantilever column decreases the critical flutter load by coupling with a large value of tip mass, while by coupling with the moment of inertia of tip mass its effect on the critical flutter load is contrary. The rotatory spring restraining the free end of cantilever column increases the critical flutter load by coupling with the tip mass, but decreases it by coupling with the moment of inertia of tip mass.

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A Study for the Effect of a Virtual Mass with a Low-Pass Filter on a Stability of a Haptic System (가상질량과 저주파통과필터에 의한 햅틱 시스템의 안정성 영역에 관한 연구)

  • Lee, Kyungno
    • Journal of Institute of Convergence Technology
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    • v.7 no.2
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    • pp.25-30
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    • 2017
  • This paper presents the effects of a virtual mass with a low-pass filter on the stability boundary of a virtual spring in the haptic system. In general, a haptic system consists of a haptic device, a sampler, a virtual impedance model and zero-order-hold. The virtual impedance is modeled as a virtual spring and a virtual mass. However the high-frequency noise due to the sampling time and the quantization error of sampled data may be generated when an acceleration is measured to compute the inertia force of the virtual mass. So a low-pass filter is needed to prevent the unstable behavior due to the high-frequency noise. A finite impulse response (FIR) filter is added to the measurement process of the acceleration and the effects on the haptic stability are simulated. According to the virtual mass with the FIR filter and the sampling time, the stability boundary of the virtual spring is analyzed through the simulation. The maximum available stiffness to guarantee the stable behavior is reduced, but simulation results still show that the stability boundary of the haptic system with the virtual mass is larger than that of the haptic system without the virtual mass.