• Title/Summary/Keyword: Cantilever beam

Search Result 831, Processing Time 0.026 seconds

Modal Property Estimation of Tapered Cantilever Pipe-type Cracked Beam (테이퍼 캔틸레버 원형강관 균열보의 모드특성 추정)

  • Lee, Jong Won;Kim, Sang Ryul;Kim, Bong Ki
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.27 no.5
    • /
    • pp.361-368
    • /
    • 2014
  • Modal properties for tapered cantilever pipe-type beam is identified by applying the boundary conditions to a general solution for tapered beam. A bending stiffness for cracked beam is constructed based on an energy method for tapered cantilever thin-walled pipe, which has a through-the-thickness crack, subjected to bending. Then the natural frequencies and mode shapes of a tapered cantilever thin-walled cracked pipe are identified. It can be found that the phenomenon of the bending stiffness distribution along the beam length of the cracked beam is quite reasonable, the natural frequencies are decreased as the crack sizes are increased, and the mode shapes are changed due to the crack. This results may be used to the vibration-based crack identification for the tapered cantilever pipe-type tower structures.

Effects of Crack on Stability Timoshenko Beam Subjected to Follower Force (종동력을 받는 티모센코 보의 안정성에 미치는 크랙의 영향)

  • Ahn, Tae-Su;Son, In-Soo;Yoon, Han-Ik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2007.11a
    • /
    • pp.344-347
    • /
    • 2007
  • In this paper, the stability of a cracked cantilever beam subjected to follower force is presented. In addition, an analysis of the flutter instability(flutter critical follower force) of a cracked cantilever beam subjected to a follower compressive load is presented. Based on the Timoshenko beam theory. The vibration analysis on such cracked beam is conducted to identify the critical follower force for flutter instability based on the variation of the first two resonant frequencies of the beam. Besides, the effect of the crack's intensity and location on the flutter follower force is studied. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. Generally, the critical follower force for flutter is proportional to the crack depth.

  • PDF

Stability Analysis of Cracked Cantilever Beam with Tip Mass and Follower Force (끝단질량과 종동력을 가진 크랙 외팔 보의 안정성 해석)

  • Son, In-Soo;Yoon, Han-Ik;Ahn, Tae-Su
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.17 no.7 s.124
    • /
    • pp.605-610
    • /
    • 2007
  • In this paper a dynamic behavior(natural frequency) of a cracked cantilever beam subjected to follower force is presented. In addition, an analysis of the flutter and buckling instability of a cracked cantilever beam subjected to a follower compressive load is presented. Based on the Euler-Bernoulli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The vibration analysis on such cracked beam is conducted to identify the critical follower force for flutter instability based on the variation of the first two resonant frequencies of the beam. Besides, the effect of the crack's intensity and location on the flutter follower force is studied. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations.

The effect of internal axial forces of a cantilever beam with a lumped mass at its free end

  • Zhang, Jinfu
    • Coupled systems mechanics
    • /
    • v.7 no.3
    • /
    • pp.321-331
    • /
    • 2018
  • When a cantilever beam with a lumped mass at its free end undergoes free transverse vibration, internal axial forces are produced in the beam. Such internal axial forces have an effect on free transverse vibration of the beam. This effect is studied in this paper. The equations of motion for the beam in terms of the generalized coordinates including the effect are derived. The method for determining free transverse vibration of the beam including the effect is presented. In numerical simulations, the results of free transverse vibration of the free end of the beam including and not including the effect are obtained. Based on comparison between the results obtained, the conclusions concerning the effect are given.

Vibration Suppression of a Cantilever Beam Using MTMD (MTMD를 이용한 보의 진동 억제)

  • Bae, Jae-Sung;Hwang, Jai-Hyuk;Kim, Jong-Hyuk;Lim, Jae-Hyuk
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.21 no.12
    • /
    • pp.1091-1097
    • /
    • 2011
  • In the present study, TMD(tuned mass damper) with eddy current damping is proposed to suppress the vibration of a cantilever beam effectively. The advantages of TMD are that it is simple and its performance are excellent at any particular frequency. However, TMD may have the low performance at other frequency. To solve this problem and improve its performance, this study applies the eddy current damping to TMD. This TMD with ECD is named as MTMD(magnetically tuned mass damper). MTMD is designed for the vibration suppression of a cantilever beam. The mathematical modeling, simulation, and experiments of the cantilever beam with MTMD are performed. From analytic and experimental results, it can be concluded that the vibration suppression performance of MTMD are excellent.

Development of a double cantilever sandwich beam method for evaluating frequency dependence of dynamic modulus and damping factor of rubber materials (고무의 동탄성계수와 손실계수의 주파수 의존성을 평가하기 위한 양팔 샌드위치보 시험법의 개발)

  • 김광우;최낙삼
    • Proceedings of the Korean Society For Composite Materials Conference
    • /
    • 2001.05a
    • /
    • pp.19-22
    • /
    • 2001
  • This paper proposes a double cantilever sandwich-beam method for evaluating the frequency dependence of material dynamic characteristics. The flexural vibration of a double cantilever sandwich-beam specimen with a partially inserted rubber layer was studied using a finite element simulation in combination with the sine-sweep test. Quadratic relationships of dynamic elastic modulus and material loss factor of rubbers with frequency were quantitatively suggested employing the least square error method.

  • PDF

Nonlinear Vibration Phenomenon for the Slender Rectangular Cantilever Beam (얇은 직사각형 외팔보의 비선형 진동현상)

  • Park, Chul-Hui;Cho, Chong-Du;Piao, Chang-Hao
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.14 no.12
    • /
    • pp.1314-1321
    • /
    • 2004
  • The non-linear responses of a slender rectangular cantilever beam subjected to lateral harmonic base-excitation are investigated by the 2-channel FFT analyzer. Both linear and nonlinear behaviors of the cantilever beam are compared with each other. Bending mode, torsional mode, and transverse mode are coupled in such a way that the energy transfer between them are observed. Especially, superharmonic, subharmonic, and chaotic motions which result from the unstable inertia terms in the transverse mode are analyzed by the FFT analyzer The aim is to give the explanations of the route to chaos, i.e., harmonic motion \longrightarrow superharmonic motion \longrightarrow subharmonic motion \longrightarrow chaos.

Evaluation of Dynamic Characteristics of Rubber Materials Using a Double Cantilever Sandwich Beam Method (양팔 샌드위치보 시험법에 의한 EPDM고무의 동특성 평가 연구)

  • Kim, Kwang-Woo;Choi, Nak-Sam
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.26 no.7
    • /
    • pp.1393-1400
    • /
    • 2002
  • A double cantilever sandwich-beam method has been applied to the evaluation of the frequency dependence of dynamic elastic modulus and material loss factor of EPDM rubbers. The flexural vibration of a double cantilever sandwich-beam specimen with an inserted rubber layer was studied using a finite element simulation in combination with the sine-sweep test. Effects of the rubber layer length on the dynamic characteristics were also investigated: reliable values were measured when the length of the inserted rubber layer was larger than and equal to 50% of the effective specimen length. The values were compared with those obtained by the dynamic mechanical analysis and the simple resonant test. Relationships of the dynamic characteristics of rubbers with frequency could be determined using the least square error method.

Non-linear Phenomenon in the Response of Circle Cantilever Beam (원형 외팔보의 응답에서의 비선형 현상)

  • Kim, Myung-Gu;Lee, Heung-Shik;Cho, Chong-Du
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.15 no.4 s.97
    • /
    • pp.445-451
    • /
    • 2005
  • This paper is the result of a experimental study about non-linear one to one modal coupling of a flexible circular cantilever beam which was transversely excited with harmonic excitation. It was proved that 2 order jumping in out of plane was caused by jump phenomenon in in-plane of flexible circular cantilever beam, because of non-linear coupling. In addition, cantilever beam showed hardening spring characteristics in in-plane and softening spring characteristics in out-of-plane.

Active Vibration Control of Flexible Cantilever Beam by Intelligent Control Technique (지능제어 기법에 의한 유연 외팔보의 능동 진동제어)

  • Shin, J.;Park, S. H.;Oh, J. E.
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.5 no.2
    • /
    • pp.205-212
    • /
    • 1997
  • In this study, active vibration control for a flexible cantilever beam was performed by using the intelligent control technique. The intelligent control method which integrating the back propagation algorithm and the fuzzy inference technique was proposed and its performance was examined. The proposed control algorithm for the flexible cantilever beam was verified via computer simulation of active vibration control. Furthermore, the control system and its efficiency were investigated via experiments on active vibration control by the intelligent control technique without a digital signal processing device.

  • PDF