• 제목/요약/키워드: Lateral natural frequency

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Optimization of lateral resisting system of framed tubes combined with outrigger and belt truss

  • Mohammadnejad, Mehrdad;Kazemi, Hasan Haji
    • Advances in Computational Design
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    • 제7권1호
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    • pp.19-35
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    • 2022
  • In this paper, the optimum location of the belt truss-outrigger for a combined system of framed tube, shear core and outrigger-belt truss is calculated. The optimum location is determined by maximization of the first natural frequency. The framed tube is modeled using a non-prismatic cantilever beam with hollow box cross section. The governing differential equation is solved using the weak form integral equations and the natural frequencies of the structure are calculated. The graphs are introduced for quick calculation of the first natural frequency. The location of the belt truss-outrigger that maximizes the first natural frequency of the structure is introduced as an optimum location. The structure is modeled using SAP-2000 finite elements software. In the modelling, the location of the belt truss-outrigger is changed along the height of the structure. With various locations of the outrigger, the lateral deflection of the all stories and axial force in the columns of the outer tube are calculated. The analysis is repeated by locating the outrigger-belt truss at the optimum location. The analysis results are compared and effect of the optimum location on the lateral deflection and the shear lag phenomena are investigated.

A lower bound analytical estimation of the fundamental lateral frequency down-shift of items subjected to sine testing

  • Nali, Pietro;Calvi, Adriano
    • Advances in aircraft and spacecraft science
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    • 제7권1호
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    • pp.79-90
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    • 2020
  • The dynamic coupling between shaker and test-article has been investigated by recent research through the so called Virtual Shaker Testing (VST) approach. Basically a VST model includes the mathematical models of the test-item, of the shaker body, of the seismic mass and the facility vibration control algorithm. The subsequent coupled dynamic simulation even if more complex than the classical hard-mounted sine test-prediction, is a closer representation of the reality and is expected to be more accurate. One of the most remarkable benefits of VST is the accurate quantification of the frequency down-shift (with respect to the hard-mounted value), typically affecting the first lateral resonance of heavy test-items, like medium or large size Spacecraft (S/Cs), once mounted on the shaker. In this work, starting from previous successful VST experiences, the parameters having impact on the frequency shift are identified and discussed one by one. A simplified analytical system is thus defined to propose an efficient and effective way of calculating the lower bound frequency shift through a simple equation. Such equation can be useful to correct the S/C lateral natural frequency measured during the test, in order to remove the contribution attributable to the shaker in use. The so-corrected frequency value becomes relevant when verifying the compliance of the S/C w.r.t. the frequency requirement from the Launcher Authority. Moreover, it allows to perform a consistent post-test correlation of the first lateral natural frequency of S/C FE model.

I-거더 불연속 비틀림 브레이싱: 횡-비틂 좌굴 및 비틀림 자유진동 (I-girder with Discrete Torsional Bracing: Lateral-torsional Buckling and Torsional Free Vibration)

  • 웬 간 투안;문지호;김현수;이학은
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2010년도 정기 학술발표대회
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    • pp.85-85
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    • 2010
  • Discrete torsional bracing systems are widely used in practice to increase the strength of I-girders bridges. This paper proposes equations for lateral-torsional buckling strength, torsional natural frequency and stiffness requirements of I-girders with discrete torsional bracings. Firstly, the equations to calculate the critical moment of the I-girder with discrete torsional bracings are introduced. The proposed equations are then compared with the results of finite element analyses and those from previous studies. The equations to calculate the torsional natural frequency are also presented in the same manner. From the results, it is found that proposed equations agree well with results of finite element analyses regardless of the number of bracing points. Finally, the reduced formula for the total torsional stiffness requirement is proposed for the design purpose.

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기어 물림 효과에 의한 횡-비틀림 연성을 갖는 터보-냉동기 로터-베어링 시스템의 동특성 (Dynamic Characteristics of a Turbo-chiller Rotor-Bearing System having a Lateral-Torsional Coupling by Gear Mesh Effect)

  • 이안성;하진웅
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.1034-1039
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    • 2000
  • In turbo-machines operated at high speeds through gear speed increasers a precise coupled analysis of lateral and torsional vibrations is required to achieve highly reliable designs with low vibration and low noise levels, where the vibration coupling is due to the gear pair mesh stiffness. In this paper, applying the generalized coupled lateral-torsional finite element model of a gear pair element, has been analyzed a coupled lateral-torsional vibration of the prototype 800 RT turbo-chiller rotor-bearing system with a bull-pinion gear speed increaser. Results have shown that the coupled torsional natural frequencies have decreased due to the coupling effect of lateral vibration and particularly, the 2nd torsional natural frequency and its mode shape have had big changes. However, changes of lateral vibration characteristics have been noticed only at high lateral whirl natural frequencies above 15,000 rpm.

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고속철도 차량의 후미 횡진동 특성 및 저감방안에 관한 연구 (Study on Reduction Method and Characteristic of Lateral Vibration of the Tail Car in a High Speed Train)

  • 김재철;권석진
    • 한국정밀공학회지
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    • 제31권9호
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    • pp.765-771
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    • 2014
  • During the acceptance test of KTX, unexpectedly great lateral vibration in 14th~16th train at 150km/h~200km/h was appeared on a straight line in the winter season. Generally, stiffness of secondary suspension in KTX vehicle is one of the most sensitive components on air temperature. So, we examined that the secondary suspension to be mounted heating system was able to reduce the lateral vibration in the tail car of KTX. Also, we verified that lateral vibration from test results on KTX train with wheel conicity 1/20 disappeared. In this paper, we analysis effective reduction methods and the cause of the lateral vibration using model of KTX train and compare with the test results. The analysis results agree well with test ones. From mode analysis result, lateral vibration is occurred at natural frequency range 0.5~0.6Hz with a negative damping value and its natural frequency disappear gradually according to increasing of wheel concinicy.

KTX 차량의 후미 횡 진동에 관한 연구 (A Study on Lateral Vibration at the Tail of Train for KTX)

  • 김재철;이찬우
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.6-11
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    • 2005
  • During the acceptance test of KTX, lateral vibration of carbody at the tail of the train was found. The carbody lateral vibration was occurred on a straight line in the winter season. We analysis to find the cause of the lateral vibration and the countermeasure. The analysis results show that lateral stiffness of air spring is the most important parameter to cause the carbody lateral vibration. The lateral vibration is occurred at frequency range $0.5{\sim}0.6Hz$ with a negative damping value. We also blow that natural frequency of lateral vibration increase with the train speed up to 1Hz at 300km/h.

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회전하는 유체이송 외팔 파이프의 동특성 해석 (The Dynamic Characteristics of Rotating Cantilever Pipe Conveying Fluid)

  • 윤한익;손인수
    • 한국소음진동공학회논문집
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    • 제13권1호
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    • pp.26-32
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    • 2003
  • The vibrational system of this study is consisted of a rotating cantilever pipe and the flow in the pipe. The equation of motion is derived by using Lagrange equation. The influences of the rotating angular velocity and the velocities of fluid flow in the pipe have been studied on the dynamic characteristics of a rotating cantilever pipe by numerical method. The tip-amplitude of axial vibration and maximum tip-deflection of axial direction of cantilever pipe are directly proportional to the velocity of fluid and rotating angular velocity of pipe In the steady state. respectively The bending tip-amplitude of cantilever pipe is inversely proportional to the velocity of fluid in the steady state. When the rotating angular velocity is 5 rad/s, the velocity of fluid increase with increasing the natural frequency of axial vibration at second mode and third mode, but the natural frequency axial direction of first mode is decreased. The natural frequency of lateral direction is decreased due to increase of the rotating angular velocity. It identifies that the Influence of velocity of fluid give much variation lower mode of vibration in lateral direction. And the Influence of velocity of fluid give much variation higher mode of vibration in axial direction.

공기부양선의 추진 및 부양축계 횡진동 해석에 관한 연구 (A Study on the Analysis of Lateral Vibration of Flexible Shafting System for Propulsion and Lift in Air Cushion Vehicle)

  • 손선태;길병래;조권회;김정렬
    • Journal of Advanced Marine Engineering and Technology
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    • 제32권2호
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    • pp.241-249
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    • 2008
  • In this study, lateral vibration analysis has been conducted on a propulsion and lift shafting system for an air cushion vehicle using ANSYS code. The shafting system is totally flexible multi-elements system including air propeller, aluminum alloy of lift fan and thin walled shaft with flexible coupling. The analysis included the lateral natural frequencies, mode shapes and harmonic analysis of the shafting system taking into account three-dimensional models for propulsion and lifting shaft system. In case of ACV the yawing and pitching rate of craft will be quite high. During yawing and pitching of craft significant gyroscopic moment will be applied to the shafting and will generate high amplitude of lateral vibration. So, such a shafting system has very intricate lateral vibrating characteristics and natural frequencies of shafting must be avoided in the range of operating revolution. The control of lateral vibration is included in this study.

Analysis on the dynamic characteristics of RAC frame structures

  • Wang, Changqing;Xiao, Jianzhuang
    • Structural Engineering and Mechanics
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    • 제64권4호
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    • pp.461-472
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    • 2017
  • The dynamic tests of recycled aggregate concrete (RAC) are carried out, the rate-dependent mechanical models of RAC are proposed. The dynamic mechanical behaviors of RAC frame structure are investigated by adopting the numerical simulation method of the finite element. It is indicated that the lateral stiffness and the hysteresis loops of RAC frame structure obtained from the numerical simulation agree well with the test results, more so for the numerical simulation which is considered the strain rate effect than for the numerical simulation with strain rate excluded. The natural vibration frequency and the lateral stiffness increase with the increase of the strain rate. The dynamic model of the lateral stiffness is proposed, which is reasonably applied to describe the effect of the strain rate on the lateral stiffness of RAC frame structure. The effect of the strain rate on the structural deformation and capacity of RAC is analyzed. The analyses show that the inter-story drift decreases with the increase of the strain rate. However, with the increasing strain rate, the structural capacity increases. The dynamic models of the base shear coefficient and the overturning moment of RAC frame structure are developed. The dynamic models are important and can be used to evaluate the strength deterioration of RAC structure under dynamic loading.

끝단질량을 가진 유체유동 회전 외팔 파이프의 고유진동수 해석 (Natural Frequency of Rotating Cantilever Pipe Conveying Fluid with Tip Mass)

  • 윤한익;손인수
    • 한국정밀공학회지
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    • 제22권10호
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    • pp.150-157
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    • 2005
  • The vibration system in this study is consisted of a rotating cantilever pipe conveying fluid and a tip mass. The equation of motion is derived by using the Lagrange's equation. The influences of the rotating angular velocity and the velocity of fluid flow on the natural frequencies of a cantilever pipe have been studied by the numerical method. The effects of a tip mass on the natural frequencies of a rotating cantilever pipe are also studied. The influences of a tip mass, the velocity of fluid, the angular velocity of a cantilever pipe and the coupling of these factors on the natural frequency of a cantilever pipe are analytically clarified. The natural frequencies of a cantilever pipe conveying fluid are proportional to the angular velocity of the pipe in both axial direction and lateral direction.