• 제목/요약/키워드: resonant vibrations

검색결과 63건 처리시간 0.02초

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

  • 윤한익;손인수;안태수
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.99-104
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    • 2007
  • In this paper a dynamic behavior(natural frequency) of a cracked cantilever beam with tip mass and 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-Bernouli 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 ins stability 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.

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Internal resonance and nonlinear response of an axially moving beam: two numerical techniques

  • Ghayesh, Mergen H.;Amabili, Marco
    • Coupled systems mechanics
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    • 제1권3호
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    • pp.235-245
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    • 2012
  • The nonlinear resonant response of an axially moving beam is investigated in this paper via two different numerical techniques: the pseudo-arclength continuation technique and direct time integration. In particular, the response is examined for the system in the neighborhood of a three-to-one internal resonance between the first two modes as well as for the case where it is not. The equation of motion is reduced into a set of nonlinear ordinary differential equation via the Galerkin technique. This set is solved using the pseudo-arclength continuation technique and the results are confirmed through use of direct time integration. Vibration characteristics of the system are presented in the form of frequency-response curves, time histories, phase-plane diagrams, and fast Fourier transforms (FFTs).

Experimental study on vortex induced vibration of risers with fairing considering wake interference

  • Lou, Min;Wu, Wu-gang;Chen, Peng
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제9권2호
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    • pp.127-134
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    • 2017
  • Vortex Induced Vibration (VIV) is a typical flow-structure interference phenomenon which causes an unsteady flow pattern due to vortex shedding at or near the structure's natural frequency leading to resonant vibrations. VIV may cause premature fatigue failure of marine risers and pipelines. A test model was carried out to investigate the role of a stationary fairing by varying the caudal horn angle to suppress riser VIV taking into account the effect of wake interference. The test results show significant reduction of VIV for risers disposed in tandem and side-by-side. In general, fairing with a caudal horn of $45^{\circ}$ and $60^{\circ}$ are efficient in quelling VIV in risers. The results also reveal fairing can reduce the drag load of risers arranged side-by-side. For the tandem configuration, a fairing can reduce the drag load of an upstream riser, but will enlarge the drag force of the downstream riser.

탄성파 충격공지법에 의한 기초 콘크리트의 두께 측정 (Thickness Measurements of the Base Concrete by the Impact-Resonance Test)

  • 김영환;이세경;김호철
    • 콘크리트학회지
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    • 제3권3호
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    • pp.121-128
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    • 1991
  • 시험체의 공지모드를 분석하여 대형 기계용 기초 콘크리트의 두께를 측정하였다. 시험체에 강철구 자유낙하에 의한 기계적인 충격을 가하여 진동을 발생시키고, 이 진동신호를 광대역 원추형 압전 탑촉자로 수신하였다. 수신된 진동신호를 FFT를 사용하여 주파수로부터 시험체의 두께를 결정하였다. 여러 층으로 이루어진 콘크리트 블록의 경우, 이 방법으로 결정된 값은 실제의 두께와 잘 일치하였다. 또한 이 방법은 두께 측정 뿐만 아니라 경계면의 접합 상태 파악에 활용될 수 있다.

종동력을 받는 티모센코 보의 안정성에 미치는 크랙과 끝질량의 영향 (Effects of Crack and Tip Mass on Stability of Timoshenko Beam Subjected to Follower Force)

  • 손인수;윤한익;안태수
    • 한국정밀공학회지
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    • 제25권6호
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    • pp.99-107
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    • 2008
  • In this paper, the stability of a cracked cantilever Timoshenko beam with a tip mass subjected to follower force is investigated. In addition, an analysis of the flutter instability(flutter critical follower force) and a critical natural frequency of a cracked cantilever Euler / Timoshenko beam with a tip mass subjected to a follower force is presented. 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. Therefore, the effect of the crack's intensity, location and a tip mass 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.

On forced and free vibrations of cutout squared beams

  • Almitani, Khalid H.;Abdelrahman, Alaa A.;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제32권5호
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    • pp.643-655
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    • 2019
  • Perforation and cutouts of structures are compulsory in some modern applications such as in heat exchangers, nuclear power plants, filtration and microeletromicanical system (MEMS). This perforation complicates dynamic analyses of these structures. Thus, this work tends to introduce semi-analytical model capable of investigating the dynamic performance of perforated beam structure under free and forced conditions, for the first time. Closed forms for the equivalent geometrical and material characteristics of the regular square perforated beam regular square, are presented. The governing dynamical equation of motion is derived based on Euler-Bernoulli kinematic displacement. Closed forms for resonant frequencies, corresponding Eigen-mode functions and forced vibration time responses are derived. The proposed analytical procedure is proved and compared with both analytical and numerical analyses and good agreement is noticed. Parametric studies are conducted to illustrate effects of filling ratio and the number of holes on the free vibration characteristic, and forced vibration response of perforated beams. The obtained results are supportive in mechanical design of large devices and small systems (MEMS) based on perforated structure.

Bulk Micromachined Vibration Driven Electromagnetic Energy Harvesters for Self-sustainable Wireless Sensor Node Applications

  • Bang, Dong-Hyun;Park, Jae-Yeong
    • Journal of Electrical Engineering and Technology
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    • 제8권6호
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    • pp.1320-1327
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    • 2013
  • In this paper, two different electromagnetic energy harvesters using bulk micromachined silicon spiral springs and Polydimethylsiloxane (PDMS) packaging technique have been fabricated, characterized, and compared to generate electrical energy from ultra-low ambient vibrations under 0.3g. The proposed energy harvesters were comprised of a highly miniaturized Neodymium Iron Boron (NdFeB) magnet, silicon spiral spring, multi-turned copper coil, and PDMS housing in order to improve the electrical output powers and reduce their sizes/volumes. When an external vibration moves directly the magnet mounted as a seismic mass at the center of the spiral spring, the mechanical energy of the moving mass is transformed to electrical energy through the 183 turns of solenoid copper coils. The silicon spiral springs were applied to generate high electrical output power by maximizing the deflection of the movable mass at the low level vibrations. The fabricated energy harvesters using these two different spiral springs exhibited the resonant frequencies of 36Hz and 63Hz and the optimal load resistances of $99{\Omega}$ and $55{\Omega}$, respectively. In particular, the energy harvester using the spiral spring with two links exhibited much better linearity characteristics than the one with four links. It generated $29.02{\mu}W$ of output power and 107.3mV of load voltage at the vibration acceleration of 0.3g. It also exhibited power density and normalized power density of $48.37{\mu}W{\cdot}cm-3$ and $537.41{\mu}W{\cdot}cm-3{\cdot}g-2$, respectively. The total volume of the fabricated energy harvesters was $1cm{\times}1cm{\times}0.6cm$ (height).

저변형률하 불포화 이암풍화토의 동적거동 (Dynamic Behavior of Unsaturated Decomposed Mudstone Soil Under Low Strain Amplitude)

  • 허경한;정충선;배중선
    • 한국방재학회 논문집
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    • 제4권2호
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    • pp.19-27
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    • 2004
  • 본 연구는 정적은 물론 동적 거동에 관한 연구가 거의 없는 포항지역의 이암풍화토에 대하여 저변형률하에서의 동적 거동 파악을 위하여 수행되었다. 동적 거동에 영향을 미치는 요소들로는 간극비, 포화도 그리고 구속압 등 3가지의 변수를 설정하였다. 그 중 간극비와 포화도를 달리하여 공시체를 제작하고 구속압을 단계적으로 증가시켜가며 저변형률하에서의 전단탄성계수와 감쇠비의 거동을 고찰하였다. 이러한 저변형률하에서의 시험을 실시하기 위해 공진주 시험장치를 사용하였으며, 시험에서 얻어진 결과값들을 이용하여 이암풍화토의 동적 거동을 분석하였다. 연구결과에 의하면 저변형률하에서 이암풍화토의 최적포화도가 $32{\sim}37%$ 나타났다. 이는 주광물의 비율과 형상뿐만 아니라 세립분의 함유량 차이로 인하여 화강풍화토보다 크게 나타났다.

내연기관크랭크축계 종진동에 관한 연구 (제1보: 크랭크축의 종진성계수와 종자유진동계산) (The Axial Vibration of Internal Combustion Engine Crankshaft (Part I.Calculation method of crankshaft axial stiffness and its natural frequencies))

  • 전효중;김의관
    • Journal of Advanced Marine Engineering and Technology
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    • 제5권1호
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    • pp.34-51
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    • 1981
  • Lately, due to increasing engine output by high supercharging, heavy crankshaft and propeller mass, as well as long strokes attended with the reduced crankshaft axial stiffness, the critical crankshaft axial vibration has frequently appeared in maneuvering range of the engine. Some investigators have developed calculating methods of natural frequencies and resonant amplitudes for crankshaft axial vibrations. But their reliabilities are uncertain as the estimated crankshaft axial stiffness are incorrect. The calculating procedure of these natural frequencies is practically analogous to the classical calculation of torsional vibration frequencies, except for an important difference due to the relationship of the axial stiffness of a crank and the angle between the crank and other, especially the adjacent, cranks. In this paper, 6 calculation formulae of crankshaft axial stiffness already published and a theoretically- developed one by authors are checked by comparing their calculating results with those measured values of one model crankshafat and three full-scale actual crankshafts. Also, the calculating methods of the crankshaft axial free vibration are investigated and their computer programs are developed. Finally, those developed computer programs are applied to calculating one model crankshaft and two full-scale actual crankshafts of ship's propulsion engines and their calculated results are compared with those measured values.

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압전형 센서/액추에이터를 이용한 진동구조물의 능동-수동제어 (Active-passive control of flexible sturctures using piezoelectric sensor/actuator)

  • 고병식
    • 소음진동
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    • 제5권3호
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    • pp.313-325
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    • 1995
  • Two active/passive vibration dampers were designed to control a cantilever beam first mode of vibration. The active element was a piezoelectric polymer, polyvinlidene fluoride (PVDF). The passive damping was provided by the application of a viscoelastic layer on the surface of the steel beam. Two substantially different damper configurations were designed and tested. One damper consisted of a piezoelectric actuator bonded to one face of the beam, with a viscoelastic layer applied to the other surface of the beam. The second one was composed of a layer viscoeastic layer with one surface bonded to the beam, and with other being constrained by nine piezoelectric actuators connected in parallel. A control law based on the sign of the angular velocity of the cantilever beam was implemented to control the beam first mode of vibration. The piezoelectric sensor output was digitally differentiated to obtain the transverse linear velocity, and its sign was used in the control algorith. Two dampers provided the system a damping increase of a factor of four for the first damper and three for the second damper. Both dampers were found to work well at low levels of vibration, suggesting that they can be used effectively to prevent resonant vibrations in flexible structure from initiating and building up.

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