• Title/Summary/Keyword: inertia ratio

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Composite Aerostatic Spindle (복합재료 공기정압 주축부)

  • 방경근;장승환;이대길
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 1999.11a
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    • pp.134-138
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    • 1999
  • For the stable operation of high speed aerostatic spindle, the low rotational inertia and high damping ratio of spindle shafts as well as high fundamental natural frequency are indispensable. Conventional steel spindles are not appropriate for very high speed operation because of their high rotational inertia and low damping ratio. In this study, the composite spindles with aerostatic bearing were designed and manufactured with carbon fiber/epoxy composite. The fundamental natural frequency of the composite spindle was evaluated through the modal testing.

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Dynamic characteristics of train wheel with considering the effects of rotatory inertia (회전관성 효과를 고려한 차륜의 동특성)

  • 김광식;박문태
    • Journal of the korean Society of Automotive Engineers
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    • v.9 no.1
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    • pp.49-56
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    • 1987
  • This study is a part f the research on the coupled vibration of train wheel with stepped thickness and rail. The research was conducted for the purpose of examining the dynamic characteristics of train wheel which considered the effect of rotatory inertia and preventing the vibrations of the high speed railway. The In-plane compressive stresses were computed by the rotation of train wheel and the reaction depending on the condition of rolling. The equation of transverse vibration of the train wheel was obtained by Lagrange's equation. As a result of study, it is known that the effect of rotatory inertia and the increment of thickness ratio, h over bar decrease frequency but the increment of radius ratio, r over bar increase frequency.

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Service load response prediction of reinforced concrete flexural members

  • Ning, Feng;Mickleborough, Neil C.;Chan, Chun-Man
    • Structural Engineering and Mechanics
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    • v.12 no.1
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    • pp.1-16
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    • 2001
  • A reliable and accurate method has been developed to predict the flexural deformation response of structural concrete members subject to service load. The method that has been developed relates the extent of concrete cracking, measured as a function of the magnitude of applied moment in a member, to the reduction in the effective moment of inertia of cracked reinforced concrete members under service load conditions. The ratio of the area of the moment diagram where the moment exceeds the cracking moment, to the total area of the moment diagram for any loading, provides the basis for the calculation of the effective moment of inertia. This ratio also represents mathematically a probability of crack occurrence. Verification of this method for the determination of the effective moment of inertia has been achieved from an experimental test program, and has included beam tests with different loading configurations, and shear wall tests subjected to a range of vertical and lateral load levels. Further verification of this method has been made with reference to the experimental investigation of other recently published work.

Free Vibrations of Clamped Circular Arches with Linear Variable Cross-Section (1차원 변화단면을 갖는 양단고정 원호아치의 자유진동 해석)

  • Lee, Byoung Koo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.4
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    • pp.1-8
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    • 1989
  • The main purpose of the present paper is to present both the fundamental frequency and some higher free vibration frequencies for circular arches with variable section, in which rotatory inertia is included. The differential equations are derived for the in-plan free vibration of elastic circular arches with variable section. These equations were solved numerically for the linear variable circular cross-section with clamped-clamped end constraint. As the numerical results, the four lowest nondimensional natural frequencies presented as functions of the nondimensional system parameters : the end moment of inertia to crown moment of inertia ratio, the slenderness ratio, and the opening angle. The effect of rotatory inertia on the nondimensional natural frequency is also reported.

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Engine-CVT Integrated Control Algorithm Considering Power train Loss and CVT Response Lag (동력전달계 동력손실계 CVT 응답지연을 고려한 엔진-CVT 통합제어 알고리즘)

  • 김달철;김현수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.9 no.1
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    • pp.112-121
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    • 2001
  • In this paper, an engine-CVT integrated control algorithm is suggested by considering the powertrain loss, inertia torque and the CVT ratio response lag. The integrated control algorithm consists of (1) the optimal engine power calculation and (2) determining of the optimal throttle valve opening and the optimal CVT ratio. The optimal engine power is obtained by compensating the inertia torque due to the CVT ratio change and the powertrain loss that is calculated iteration procedure. In addition, an algorithm to compensate the effect of the CVT ratio response lag on the drive torque is suggested by the engine speed compensation causing the increased optimal CVT ratio. Simulation results show that the engine-CVT integrated control algorithm developed in this study makes it possible to obtain better engine operation on the optimal operating line, which results in the improved fuel economy while satisfying the driver's demand.

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Free Vibration Analysis of Circular Arches with Rectangular Hollow Section (구형 중공단면을 갖는 원호아치의 자유진동 해석)

  • Lee, Tae-Eun;Lee, Byoung-Koo;Park, Kwang-Kyou;Yoon, Hee-Min
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.50-53
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    • 2008
  • The differential equations governing free vibrations of the elastic arches with rectangular hollow section are derived in polar coordinates, in which the effect of rotatory inertia is included. Natural frequencies is computed numerically for circular arches with both clamped ends and both hinged ends. The lowest four natural frequency parameters are reported, with the rotatory inertia, as functions of three non-dimensional system parameters: the breadth ratio, the thickness ratio and the shape ratio.

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Free Vibrations of Arches in Rectangular Coordinates (직교좌표계에 의한 아치의 자유진동)

  • Lee, Byoung-Koo;Lee, Tae-Eun;Ahn, Dae-Soon;Kim, Young-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.971-976
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    • 2002
  • The differential equations governing free vibrations of the elastic arches with unsymmetric axis are derived in rectangular coordinates rather than in polar coordinates, in which the effect of rotatory inertia is included. Frequencies and mode shapes are computed numerically for parabolic arches with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. The convergent efficiency is highly improved under the newly derived differential equations in Rectangular coordinates. The lowest four natural frequency parameters are reported, with and without the rotatory inertia, as functions of three non-dimensional system parameters: the rise to chord length ratio, the span length to chord length ratio, and the slenderness ratio. Also typical mode shapes of vibrating arches are presented.

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Sensitivity analysis of mass ratio effect on settlement and seismic response of shallow foundation using numerical simulation

  • Kil-Wan Ko;Jeong-Gon Ha;Jinsun Lee;Gye-Chun Cho
    • Geomechanics and Engineering
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    • v.34 no.6
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    • pp.649-664
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    • 2023
  • Structural inertial interaction is a representative the effect of dynamic soil-foundation-structure interaction (SFSI), which leads to a relative displacement between soil and foundation, period lengthening, and damping increasing phenomena. However, for a system with a significantly heavy foundation, the dynamic inertia of the foundation influences and interacts with the structural seismic response. The structure-to-foundation mass ratio (MR) quantifies the distribution of mass between the structure and foundation for a structure on a shallow foundation. Although both systems exhibit the same vertical factor of safety (FSv), the MR and corresponding seismic responses attributed to the structure and foundation masses may differ. This study explored the influence of MR on the permanent deformation and seismic response of soil-foundation-structure system considering SFSI via numerical simulations. Given that numerous dimensionless parameters of SFSI described its influence on the structural seismic response, the parameters, except for MR and FSv, were fixed for the sensitivity analysis. The results demonstrated that the foundation inertia of heavier foundations induced more settlement due to sliding behavior of heavily-loaded systems. Moreover, the structural inertia of heavier structures evidently exhibited foundation rocking behavior, which results in a more elongated natural period of the structure for lightly-loaded systems.

Measurement of Inertia of Turbocharger Rotor in a Passenger Vehicle (승용차용 터보과급기 로터의 관성모멘트 측정)

  • Chung, Jin Eun;Lee, Sangwoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.24 no.1
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    • pp.33-38
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    • 2016
  • The turbocharger is an essential component to realize the engine down-sizing. The moment of inertia of turbocharger rotor is an important parameter with respect to acceleration performance of the vehicle. It can be calculated from the CAD software based the geometry data and the material properties. But the accurate value of the inertia of turbocharger rotor must be measured through the experimental method. In this study, the measurement of moment of inertia of turbocharger rotor for 2.0 L spark-ignition engine was carried out. First, an experimental equipment using a trifilar method was designed and fabricated. Some optical devices, that is, photo sensor, counter, convex lens, etc, were used to increase the accuracy of the measurement. Second, error sensitivity for the equipment was analyzed. The error of period time and the radius can give big affects to the accuracy of the moment of inertia. When the amount of error of these two were each 1.0 %, maximum error of the moment of inertia was under 3.0 %. Third, the calibration for the equipment was performed using a calibration rotor which has similar shape to turbine rotor but simple. Calculated value from CAD software and measured one for the calibration rotor were compared. The total error of the equipment and the measurement is about 1.3 %. This result shows that the equipment can give the good result with resonable accuracy. Finally the moment of inertia of the turbine rotor and compressor wheel were measured. The coefficient of variations, the ratio of standard deviation to mean value, were reasonably small at 0.57 % and 0.73 % respectively. Therefore this equipment is suitable for the measurement of the moment of inertia of the turbine rotor and compressor wheel.

Design and Analysis of Gear Train with Composition of Optimum Gear Ratio (최적 치차비 구현을 통한 치차열의 각도 위치 오차 설계 및 해석)

  • Yun, Jae-Yun
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.6
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    • pp.102-108
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    • 2001
  • This paper addresses an analytical approach to the mechanical error analysis of gear train and tolerance design and manufacture of gear train in restricted space considering motor driving torque, driving system inertia, motor acceleration, motor rotor inertia and friction torque. The gear train is designed to have optimum gear ratio in restricted space and each gear is manufactured to have the lowest weight and each gear tooth is heat-treated to have robustness. Based on the small difference between the mechanical error analysis and measurement, gear train design with optimum gear ratio and restricted space and robustness is proposed.

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