• Title/Summary/Keyword: Flutter frequency

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Critical Loads of Tapered Cantilever Columns with a Tip Mass (자유단 집중질량을 갖는 변단면 캔틸레버 기둥의 임계하중)

  • Jeong, Jin Seob;Lee, Byoung Koo;Kim, Gwon Sik;Kim, Jong Ung
    • Journal of Korean Society of Steel Construction
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    • v.17 no.6 s.79
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    • pp.699-705
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    • 2005
  • This paper investigates critical loads of tapered cantilever columns with a tip mass, subjected to a follower force. The linearly tapered solid rectangular cross-sections are adopted as the column taper. The differential equation governing free vibrations of such columns, also called Beck's columns, is derived using the Bernoulli-Euler beam theory. Both divergence and flutter critical loads are calculated from the load-frequency curves that are obtained by solving the differential equation. The critical loads are presented as functions of various non-dimensional system parameters, namely, the taper type, the subtangential parameter, and the mass ratio.

Dynamic Characteristics and Stability Analysis of a Rotating Cantilever Pipe Conveying Fluid (유체유동 회전 외팔 파이프의 동특성 및 안정성 해석)

  • Kim, Dong-Jin;Yoon, Han-Ik;Son, In-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.1185-1190
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    • 2007
  • In this paper the vibration system is consisted of a rotating cantilever pipe conveying fluid. The equation of motion is derived by using the Lagrange's equation. Also, the equation of motion is derived applying a modeling method that employs hybrid deformation variables. Generally, the system of pipe conveying fluid becomes unstable by flutter. So, we studied about the influences of the rotating angular velocity, mass ratio and the velocity of fluid flow on the stability of a cantilever pipe by the numerical method. The influences of mass ratio, the velocity of fluid, the angular velocity of a cantilever pipe and the coupling of these factors on the stability of a cantilever pipe are analytically clarified. The critical fluid velocity$(u_{cr})$ is proportional to the angular velocity of the cantilever pipe. In this paper Flutter(instability) always occur in the second mode of the system.

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Structural Damping Effects on Stability of a Cantilever Column under Sub-tangentially Follower Force (종동력을 받는 외팔기둥의 동적 안정성에 미치는 구조감쇠 효과)

  • Min, Dong-Ju;Park, Jae-gyun;Kim, Moon-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.6_spc
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    • pp.635-643
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    • 2016
  • A stability theory of a damped cantilever column under sub-tangential follower forces is first summarized based on the stability map. It is then demonstrated that internal and external damping can be exactly transformed to Rayleigh damping so that the damping coefficients can be effectively determined using proportional damping. Particularly a parametric study with variation of damping coefficients is performed in association with flutter loads of Beck's column and it is shown that two damping coefficients can be correctly estimated for real systems under the assumption of Rayleigh damping. Finally a frequency equation of a cantilever beam subjected to both a sub-tangentially follower force and two kinds of damping forces is presented in the closed-form and its stability maps are constructed and compared with FE solutions in the practical range of damping coefficients.

Wind-induced self-excited vibrations of a twin-deck bridge and the effects of gap-width

  • Qin, X.R.;Kwok, K.C.S.;Fok, C.H.;Hitchcock, P.A.;Xu, Y.L.
    • Wind and Structures
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    • v.10 no.5
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    • pp.463-479
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    • 2007
  • A series of wind tunnel sectional model dynamic tests of a twin-deck bridge were conducted at the CLP Power Wind/Wave Tunnel Facility (WWTF) of The Hong Kong University of Science and Technology (HKUST) to investigate the effects of gap-width on the self-excited vibrations and the dynamic and aerodynamic characteristics of the bridge. Five 2.9 m long models with different gap-widths were fabricated and suspended in the wind tunnel to simulate a two-degrees-of-freedom (2DOF) bridge dynamic system, free to vibrate in both vertical and torsional directions. The mass, vertical frequency, and the torsional-to-vertical frequency ratio of the 2DOF systems were fixed to emphasize the effects of gap-width. A free-vibration test methodology was employed and the Eigensystem Realization Algorithm (ERA) was utilized to extract the eight flutter derivatives and the modal parameters from the coupled free-decay responses. The results of the zero gap-width configuration were in reasonable agreement with the theoretical values for an ideal thin flat plate in smooth flow and the published results of models with similar cross-sections, thus validating the experimental and analytical techniques utilized in this study. The methodology was further verified by the comparison between the measured and predicted free-decay responses. A comparison of results for different gap-widths revealed that variations of the gap-width mainly affect the torsional damping property, and that the configurations with greater gap-widths show a higher torsional damping ratio and hence stronger aerodynamic stability of the bridge.

Study on Comparison of Atmospheric and Vacuum Environment of Thermally-Induced Vibration Using Vacuum Chamber

  • Kong, Chang-Duk;Park, Hyun-Bum;Lee, Ha-Seaung
    • International Journal of Aeronautical and Space Sciences
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    • v.11 no.1
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    • pp.26-30
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    • 2010
  • The present paper studies the thermally-induced vibration phenomenon of the flexible space boom structure. In order to simulate the thermally-induced vibration phenomenon of the flexible thin boom structure of the spacecraft with the attached tip mass in space, the thermally-induced vibration including thermal flutter is experimentally investigated at various thermal environments using a heating lamp in vacuum chamber. In this experimental study, fluctuating characteristics, natural frequency and thermal strains of the thermally-induced vibration are parametrically investigated at various thermal environment conditions. Finally the thermally-induced vibration of the flexible boom structure of the orbiting earth satellite in solar radiation environment from the earth eclipse region including umbra and penumbra is simulated using the power control of the heating lamp in the vacuum chamber.

Experimental analysis of aerodynamic stability of stress-ribbon footbridges

  • Pirner, Miros;Fischer, Ondrej
    • Wind and Structures
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    • v.2 no.2
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    • pp.95-104
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    • 1999
  • The dynamic properties of one-span or multi-span reinforced concrete footbridges of catenary form (see e.g., Fig. 1) include the very low fundamental natural frequency, usually near the step-frequency of pedestrians, and the low damping of bending vibrations. The paper summarized the results of model as well as full-scale measurements with particular reference to the influence of torsional rigidity of the stress-ribbon on the magnitude of aerodynamic response, the results of measurements on footbridges of catenary form being completed by results obtained on footbridges of some other types. Additionally the influence of the local broadening of the bridge deck on the bridge response was tested. Starting from these results the criterion has been derived for the decision, whether the flutter analysis is necessary for the design of the footbridge.

Aeroelastic instability of long-span bridges: contributions to the analysis in frequency and time domains

  • Sepe, Vincenzo;Caracoglia, Luca;D'Asdia, Piero
    • Wind and Structures
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    • v.3 no.1
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    • pp.41-58
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    • 2000
  • According to research currently developed by several authors (including the present ones) a multimode approach to the aeroelastic instability can be appropriate for suspension bridges with very long span and so with close natural frequencies. Extending that research, this paper deals in particular with: i) the role of along-wind modes, underlined also by means of the flutter mode representation; ii) the effects of a variation of the mean wind speed along the span. A characterisation of the response in the time domain by means of an energetic approach is also discussed.

A Study on the Experience of Fundamental Nursing Practice (간호 대학생의 기본 간호 실습 경험에 대한 연구)

  • 한경순;조주연
    • Journal of Korean Academy of Nursing
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    • v.29 no.2
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    • pp.293-303
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    • 1999
  • The purpose of this study was to understand and to explain how were nursing students experienced and accepted the fundemental nursing practice. In addition to, the results of this study are attempted to contribute for offer of basic data in projecting and accomplishing to promote quality practice education. The participants were 79 freshmen of S College of Nursing in kyungi-do. They presented record of feeling and thinking on their the fundemental nursing practice experience. The data were collected from 29, J une to 10, July in 1998. Collected data was analyzed by means of Van Kaam's phenomenological method. The results of this study was founded 423 descriptive expression and they were grouped under 42 common factors and they were grouped under 9 categories. By means of the frequency on the categories. the higher category is Anxiety. next Solemn. Flutter. Pride. Usefulness, Recognition of reality in nursing-system. Lack of practice environment. Self-accusation. Comprehension of nursing spirit were founded. 5 common factors. Tension. Difficulty, Dread. Apprehension, Burden were grouped under Anxiety. 7 common factors, Pledge, Memory, Importance of practice, Sincerity, Restriction of dress, Acceptance, Active attitude were grouped under solemn. 5 common factors, Interest, Strange, Beanimated, Waiting, Curiosity were grouped under Flutter. 5 common factors, Conceit, Self-confidence, Skilled, Worth, Accomplishment were grouped under Pride. 6 common factors, Acknowledge of nursing affairs, Expectation of furture, Fascination of nursing. Acquirement of disposition of nurse, Association of injection, Actual feeling of dept. of nursing were grouped under Recognition of reality in nursing-system. 4 common factors, Lack of practice time, Many persons of practice, Lack of practice instrument, Lack of reality were grouped under Lack of practice envirnment. 5 common factors, Inconvenient, Reflection, Loss of pride, Shyness, Feeling sorry were grouped under Self-accusation. 3 common factors, Utility, Connection of practice and theory, Various experience were grouped under Usefulness. 2 common factors, Comprehension on the dignity of human, Comprehension on a point of view of patient were grouped under Comprehension of nursing spirit. In conclusion, the following recommendation should be necessary a supplementary study to approach on the type of students that has a firm view and care about client prior to clinical nursing practice.

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An Analysis of Simplified Cable Stayed Bridge with FRP Components (FRP 부재를 이용한 단순 사장교 모델의 거동 해석)

  • Park, Jae-Gyun;An, Il-Chan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.5
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    • pp.543-550
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    • 2007
  • As an emerging materials in construction fields, FRP(fiber reinforced polymer) has been used in many area of civil engineering for its light weight and high strength. In this study we chose the 2nd Jindo-Bridge as a prototype, and evaluate effect of replacing steel components to FRP components through simplified 3D linear analysis. Static and modal analysis are done and the analysis results are compared with steel case analysis. From the static analysis results, the maximum stress of each component and maximum displacement of middle span are compared. Due to the reduction of deadload, the FRP structure causes less deflection than the original steel structure and from the reduced section (cable) analysis we confirmed the previous result. The occurrence wind velocity of flutter is compared by the frequency ratio.

Determining minimum analysis conditions of scale ratio change to evaluate modal damping ratio in long-span bridge

  • Oh, Seungtaek;Lee, Hoyeop;Yhim, Sung-Soon;Lee, Hak-Eun;Chun, Nakhyun
    • Smart Structures and Systems
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    • v.22 no.1
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    • pp.41-55
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    • 2018
  • Damping ratio and frequency have influence on dynamic serviceability or instability such as vortex-induced vibration and displacement amplification due to earthquake and critical flutter velocity, and it is thus important to make determination of damping ratio and frequency accurate. As bridges are getting longer, small scale model test considering similitude law must be conducted to evaluate damping ratio and frequency. Analysis conditions modified by similitude law are applied to experimental test considering different scale ratios. Generally, Nyquist frequency condition based on natural frequency modified by similitude law has been used to determine sampling rate for different scale ratios, and total time length has been determined by users arbitrarily or by considering similitude law with respect to time for different scale ratios. However, Nyquist frequency condition is not suitable for multimode system with noisy signals. In addition, there is no specified criteria for determination of total time length. Those analysis conditions severely affect accuracy of damping ratio. The focus of this study is made on the determination of minimum analysis conditions for different scale ratios. Influence of signal to noise ratio is studied according to the level of noise level. Free initial value problem is proposed to resolve the condition that is difficult to know original initial value for free vibration. Ambient and free vibration tests were used to analyze the dynamic properties of a system using data collected from tests with a two degree-of-freedom section model and performed on full bridge 3D models of cable stayed bridges. The free decay is estimated with the stochastic subspace identification method that uses displacement data to measure damping ratios under noisy conditions, and the iterative least squares method that adopts low pass filtering and fourth order central differencing. Reasonable results were yielded in numerical and experimental tests.