• Title/Summary/Keyword: Lumped Mass Method

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Prediction of Dynamic Characteristics of Continuous Systems Due to the Mass Modification (질량변경에 따른 연속계의 동특성변화 예측)

  • 이정윤;최상렬;박천권;오재응;정석주
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.248-256
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    • 1993
  • This paper deriver the generalized mass to find dynamic characteristics and its derivatives of a continous system. And a new sensitivity analysis method is presented by using the amount of change of generalized mass and vibrational mode caused by the variation of lumped and distributed mass. In this paper, to get or detect appropriate results, cantilever beam and stepped beam are used. Deviations of sensitivity coefficient, natual frequency, vibrational mode and transfer function are calculated as result, and compared with the theoretical exact values.

Lumped System Analysis on the Lunar Surface Temperature Using the Bottom Conductive Heat Flux Model (달 표면온도 예측을 위한 집중계 해석방법과 하부 열유속 모델의 적용)

  • Kim, Taig Young
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.47 no.1
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    • pp.66-74
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    • 2019
  • Instead of securing thermophysical properties throughout the entire lunar surface, a theoretical method to predict the lunar surface temperature accurately using improved Lumped System Model (LSM) was developed. Based on the recently published research, thermal mass per unit area at the top regolith layer is assumed uniform. The function of bottom conductive heat flux was introduced under the theoretical background. The LSM temperature prediction agrees well with the DLRE measurement except for dusk, dawn and high latitude region where the solar irradiation is weak. The relative large temperature discrepancy in such region is caused by the limit of the bottom conductive heat flux model. The surface temperature map of the moon generated by the LSM method is similar to the DLRE measurement except for the anomalous temperature zones where surface topography and thermophysical properties appear in highly uneven.

Eigenderivative Analysis by Modification of Design Parameter in the Proportional Damping System (설계파라미터 변경에 의한 비례 감쇠 구조물의 동특성 변화 해석)

  • Lee, J.Y.;Lee, J.W.;Lee, J.H.;Oh, J.O.
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1648-1653
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    • 2003
  • This paper predicts the modified proportional damping structural eigenvectors and eigenvalues due to the change in the mass and stiffness of a proportional damping structure by iterative calculation of the sensitivity coefficient using the original dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom lumped mass model by modifing the mass and stiffness. The predicted dynamic characteristics are in good agreement with these from the structural reanalysis using the modified mass and stiffness.

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Effect of External Damping and Tip Mass on Dynamic Stability of Pipes Conveying Fluid (유동유체에 의한 파이프의 동적안정성에 미치는 외부감쇠와 말단질량의 영향)

  • Kim, H.J.;Ryu, B.J.;Jung, S.H.
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.6
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    • pp.569-574
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    • 2009
  • The paper presents the influences of the external damping and the tip mass on dynamic stability of a vertical cantilevered pipe conveying fluid. In general, real pipe systems may have some valves and attached mechanical parts, which can be regarded as attached lumped masses and support-dampers. The support-dampers can be assumed as viscous dampers. The equations of motion are derived by energy expressions using extended Hamilton's principle, and some numerical results using Galerkin's method are presented. Critical flow velocities and stability maps of the pipe with external dampers and tip mass are obtained for various tip mass ratios, external damping coefficients and positions of the viscous dampers.

A Study on the Dynamic Load Model of Truss Bridge subjected to Moving Train Loads (열차하중을 받는 트러스교의 동적하중모형 연구)

  • 안주옥;박상준
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.111-118
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    • 1996
  • Dynamic load models which show the practical behavior of truss bridge subjected to moving train load are presented. Three basically approaches are available for evaluating structural response to dynamic effects : moving force, moving mass, and influence moving force and mass. Simple warren truss bridge model is selected in this research, and idealized lumped mass system, modelled as a planar structure. In the process of dynamic analysis, the uncoupled equation of motion is derived from simultaneous equation of the motion of truss bridge and moving train load. The solution of the uncoupled equations of motion is solved by Newmark-$\beta$ method. The results show that dynamic response of moving mass and static analysis considering the impact factor specified in the present railway bridge code was nearly the same. Generally, the dynamic response of moving force is somewhat greater than that of moving mass. The dynamic load models which are presented by this study are obtained relatively adequate load model when apply to a truss bridge.

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A Structural Eigenderivative Analysis by Modification of Design Parameter (설계파라미터 변경에 따른 구조물의 동특성 변화 해석)

  • Lee, Jeong-Yun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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    • pp.739-744
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    • 2002
  • This study predicts the modified structural eigenvectors and eigenvalues due to the change in the mass and stiffness of a structure by iterative calculation of the sensitivity coefficient using the original dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom lumped mass model by modifing the mass and stillness. The predicted dynamic characteristics are in good agreement with these from the structural reanalysis using the modified mass and stiffness.

Effect of External Damping and Tip Mass on Dynamic Stability of Pipes Conveying Fluid (유동유체에 의한 파이프의 동적안정성에 미치는 외부감쇠와 말단질량의 영향)

  • Ryu, B.J.;Jung, S.H.;Shin, G.B.;Han, H.H.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.465-468
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    • 2005
  • The paper deals with the influences of external damping and tip mass on dynamic stability of a vertical cantilevered pipe conveying fluid. In general, real pipe systems may have some valves and attached parts, which can be regarded as attached lumped masses and support-dampers. The support-dampers can be assumed as viscous dampers. The equations of motion are derived by energy expressions using extended Hamilton's principle, and some numerical results using Galerkin's method are presented. Critical flow velocities and stability maps of the pipe with external dampers and tip mass are obtained for various tip mass ratios, external damping coefficients and positions of the viscous dampers.

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Vibration Analysis of Trapezoidal Corrugated Plates with Stiffeners and Lumped Masses (집중질량을 고려한 보강된 사다리꼴 주름판의 진동해석)

  • Jung, Kang;Kim, Young-Wann
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.5
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    • pp.414-420
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    • 2014
  • In this paper, the vibration characteristics of the trapezoidal corrugated plate with axial stiffeners and lumped masses are investigated by the analytical method. The corrugated plate can be treated as an equivalent orthotropic plate as this plate has different flexure properties in two perpendicular directions; flexible in the corrugation direction and stiff in the transverse direction. The effective extensional and flexural stiffness of the equivalent plate are considered to obtain the precise solution in the analysis. The plate is stiffened by concentric stiffeners horizontally to the corrugation direction. The discrete stiffener theory is adopted to consider the position of stiffener. To demonstrate the validity of the proposed approach, the comparison is made with the results of 3D ANSYS finite element solutions. Some numerical results are presented to check the effect of the geometric properties.

The Study of Continuous System Combined with Distributed DVA (II) (분포질량 동흡진기가 부착된 연속체 시스템에 대한 연구 (II))

  • Choi, Jeung-Hyun;Lim, Byoung-Duk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.3
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    • pp.215-221
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    • 2004
  • Large machine and structure can not be normally treated as lumped parameter system. Such machine or structure must be broken down to individual beams or panels the motion of which must be analysed before an absorber system can be designed for each element. The absorber may be a lumped parameter system or a continuous system. One of the most common elements in a machine or structure is the cantilever, and in this paper is considered the design of a continuous parameter absorber to reduce the transverse vibrations of a beam. So this paper describes the method to obtain the accurate information about combined continuous beam system with DVA. This information is obtained from the combined system's receptance. and this paper shows the convenience and useful informations when design the dynamic vibration absorber with the combined system's receptance.

A Study on Development of Railway Reducer for Low Noise/Vibration (소음/진동을 고려한 철도 감속기 개발에 대한 연구)

  • 이형우;박노길
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.2
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    • pp.130-137
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    • 2004
  • A dynamic model of railway reducer is developed by the lumped parameter method. The model accounts for shafts, bearings flexibilities, gyroscopic effects and the force couplings among the transverse and torsion motions due to gearing. Vibration/noise analysis as well as strength of gear teeth, and bearing life are considered. Excitation forces of railway reduction are considered as the mass unbalance of the rotors, misalignment and a function of gear transmission error which comes from the modified tooth surface. A campbell diagram, in which the excitation sources caused by the mass unbalance of the rotors, misalignment and the transmitted errors of the gearing are considered, shows that, at the operating speed, there are not the critical speed. The program which can be used to analyze and predict vibration/noise characteristics by mass unbalance, misalignment and gear transmission error of railway reduction is developed with this system model.