• Title/Summary/Keyword: flexural-torsional vibration

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Free-vibration Characteristics of Two-I-girder Steel Bridges Curved in Plan (소수주형 수평곡선 강교량 상부구조의 자유진동 특성 분석)

  • Lee, Kee Sei;Kim, Seungjun
    • Journal of Korean Society of Steel Construction
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    • v.28 no.5
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    • pp.365-371
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    • 2016
  • In the case of the superstructure which is consist of two I girders and slab, the section can behave as II section, so that the neutral axis with respect to out of plane direction flexure can be regarded as major axis. Therefore in-plane flexural mode might govern the free vibration mode. Meanwhile, horizontally curved girders always experience not only bending moments but also torsional moments although the primary load is usually supposed to be gravitational load. The interaction due to bending and torsional moments make the behavior complicated and torsional mode may govern the free vibration mode. In other words, structure can have different dynamic characteristic due to its initial curvature. In this research, using 3-dimensional sell elements, free-vibration analyses are carried out due to initial curvature. The analysis models are assumed to be composite and non-composite and finally natural frequency and eigen mode are discussed.

Non-linear Modelling for the Vibration Analysis of a Rotating Thin Ring (회전하는 얇은 링의 진동해석을 위한 비선형 모델링)

  • 김원석;정진태
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.319-324
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    • 2001
  • Free non-linear vibration of a rotating thin ring with a constant speed is analyzed when the ring has both the in-plane and out-of-plane motions. The geometric non-linearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain. By using Hamilton's principle, the coupled non-linear partial differential equations are derived, which describe the out-of-plane and in-plane bending, extensional and torsional motions. The natural frequencies are calculated from the linearized equations at various rotational speeds. Finally, the computation results from three non-linear models are compared with those from a linear model. Based on the comparison, this study recommends which model is appropriate to describe the non- linear behavior more precisely.

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Vibration Characteristics of Thin-Walled Beams (두께가 얇은 단면을 갖는 보의 진동특성)

  • Oh, Sang-Jin;Lee, Jae-Young;Mo, Jeong-Man;Park, Kwang-Kyou
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.709-712
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    • 2004
  • A study of the coupled flexural-torsional vibrations of thin-walled beams with monosymmetric cross-section is presented. The governing differential equations for free vibration of such beams are solved numerically to obtain natural frequencies and their corresponding mode shapes. The beam model is based on the Bernoulli-Euler beam theory and the effect of warping is taken into consideration. Numerical results are given for two specific examples of beams with free-free, clamped-free, hinged-hinged, clamped-hinged and clamped-clamped end constraints both including and excluding the effect of warping stiffness. The effect of warping stiffness on the natural frequencies and mode shapes is discussed and it is concluded that substantial error can be incurred if the effect is ignored.

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A Study on the Vibration Characteristics of the Composite Sandwich Beams for High-Speed Heddle Frame (고속 헤들 프레임용 복합재료 샌드위치 보의 진동 특성에 관한 연구)

  • 이창섭;오제훈;이대길
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.120-125
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    • 2000
  • A heddle frame is the major part of a loom that produces woven cloth by insertion of weft yarns between warp yams. Warp yarns are manipulated by many heddles fixed in a heddle frame. Recently, the up and down speed of heddle frames has been increased much for the increase of productivity, which induces higher inertial stresses and vibrations in the heddle frame. The heddle frame has the rectangular cross-section. For the design of box type beams of rectangular cross-section, extensional stiffness EA, flexural stiffness El, and torsional stiffness GJ as well as the vibration characteristics are important and should be simultaneously considered. Tn this paper, the vibration characteristics of the composite and the composite sandwich beams for high-speed heddle frame were tested by impulse frequency response.

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Vibrational Characteristics of Suspension Bridge by Full-Scale Test (실교 가진시험을 통한 현수교의 고유진동특성 연구)

  • Chog Sun-Kyu;Kim Sun-Kon
    • Journal of the Korean Society for Railway
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    • v.9 no.1 s.32
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    • pp.12-17
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    • 2006
  • The bridge to be analyzed is a self-anchored suspension bridge which is constructed within the country. Forced vibration test was performed with oscillator for verification of safety, maintenance and management. In this study, the feasibility of deduction was verified with the modified analysis model by comparing natural frequency, natural mode and damping ratio of the real bridge, which are obtained from the vibration test of the whole bridge after construction of 3-dimensional self-anchored cable suspension bridge, with the eigenvalue of analytic computation model and evaluating them. As a result of study, the friction of bridge bearing must be considered to get the natural frequencies of flexural vibration, and evaluating the polar moment of inertia is critical factor in analysis modeling in case of torsional vibration. The logarithmic damping ratio of the test appeared to exceed the ordinary one assumed at the design phase.

Dynamic Interaction Analysis of Vehicle-Suspension Bridge Considering Flexural and Torsional Behaviors and Shear Deformation Effects (휨 및 비틀림 거동 및 전단변형 효과를 고려한 차량-현수교의 동적 상호작용 해석)

  • Kim Moon-Young;Lim Myoung-Hun;Kwon Soon-Duck;Kim Ho-Kyung;Kim Nam-Il
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.4 s.70
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    • pp.361-372
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    • 2005
  • In the previous study(Kim 등, 2004), the finite element method was used for the vortical vibration analysis of suspension bridge with the effects of the shear deformation and the rotary inertia under moving load considering the bridge-vehicle interaction. The purpose of this study is to investigate the effect of an eccentric vehicle and shear deformation. So we firstly performs the eigenvalue analysis for the free vortical and the torsional vibration of suspension bridges using FEM analysis. Next the equations of motion considering interaction between suspension bridges and vehicles/trains are derived using the mode superposition method. And then dynamic analysis was performed using the Newmark method. Finally through the numerical examples, the dynamic responses of bridges are investigated according to the proposed procedure.

Placement of passive Constrained Layer Damping for Vibration Control of Smart Plate (지능판의 진동제어를 위한 수동구속감쇠의 위치 설정)

  • Kang, Yong-Kyu;Kim, Chan-Mook
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.12-16
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    • 2002
  • Dynamic characteristics of smart laminated composite plates with passive constrained layer damping have been investigated to design structure with maximum possible damping capacity. The equations of motion are derived for flexural vibrations of symmetrical, multi-layer laminated plates. The damping ratio and modal damping of the first bending and torsional modes are calculated by means of iterative complex eigensolution method. The structural damping index(SDI) is introduced to determine the optimum placement of viscoelastic patch. This paper addresses a design strategy of laminated composite plate under vibrations.

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Free Vibration Analysis of Curved Beams with Thin-Walled Cross-Section (두께가 얇은 단면을 갖는 곡선보의 자유진동 해석)

  • 이병구;박광규;오상진
    • Journal of KSNVE
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    • v.9 no.6
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    • pp.1193-1199
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    • 1999
  • This paper deals with the free vibrations of circular curved beams with thin-walled cross-section. The differential equation for the coupled flexural-torsional vibrations of such beams with warping is solved numerically to obtain natural frequencies and mode shapes. The Runge-Kutta and determinant search methods, respectively, are used to solve the governing differential equation and to compute the eigenvalues. The lowest three natural frequencies and corresponding mode shapes are calculated for the thin-walled horizontally curved beams with hinged-hinged, hinged-clamped, and clamped-clamped end constraints. A wide range of opening angle of beam, warping parameter, and two different values of slenderness ratios are considered. Numerical results are compared with existing exact and numerical solutions by other methods.

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A Study on the Vibration of 2-Stage Gear System Considering the Change of Gear Meshing Stiffness and Imbalance of Motor (기어 물림부의 스프링강성 변화와 구동기의 불균형을 고려한 2단 기어장치의 진동에 관한 연구)

  • 정태형;이정상;최정락
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.6
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    • pp.8-14
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    • 2001
  • We develop a method to analyze dynamic behavior off multi-stage gear train system. The example system consists of three shafts supported by ball bearings at the ends of them and two pairs of spur gear set. For exact analysis, the meshing tooth pair of gear set is modeled as spring and damper having time-dependent meshing stiffness and damping. The bearing is modeled as spring. The result of this analysis is compared to that of other model having mean mesh stiffness. The effect of the excitation force by the unbalance off rotor off motor is also analyzed. Finally, the change ova natural frequency of the whole system due to the change of an angle between three shafts is compared in each case, and from this analysis, the avoiding angle for design is advised.

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An Investigation of Shape Factor Effects on Elastic Modulus with Acoustic Resonance Method (음향공진법에서의 형상계수 영향에 관한 고찰)

  • 최영식;박명균;박세만
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.795-798
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    • 2002
  • In this investigation, experimental attempts were made to observe and determine the variations in elastic of the PVC depending on the amounts of MBS added to the mixture, PVC/MBS, and also on the thicknesses of the specimens. An acoustic resonance technique was used for the tests in this investigation. It serves as a method to characterize properties of materials set in vibrational motions, which is initiated by low level stresses generated by externally supplied acoustic energy. Substantial variations were observed in the test results with the addition of the MBS to the PVC. It was found that the magnitudes of elastic constants decrease when MBS rubber was added in the range up to 9 phr and the shape factor effect in torsional vibration is more significant than the shape factor effect in flexural vibration.

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