• 제목/요약/키워드: Parametric resonance

검색결과 122건 처리시간 0.021초

Nonlinear vibration analysis of fluid-conveying cantilever graphene platelet reinforced pipe

  • Bashar Mahmood Ali;Mehmet AKKAS;Aybaba HANCERLIOGULLARI;Nasrin Bohlooli
    • Steel and Composite Structures
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    • 제50권2호
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    • pp.201-216
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    • 2024
  • This paper is motivated by the lack of studies relating to vibration and nonlinear resonance of fluid-conveying cantilever porous GPLR pipes with fractional viscoelastic model resting on nonlinear foundations. A dynamical model of cantilever porous Graphene Platelet Reinforced (GPLR) pipes conveying fluid and resting on nonlinear foundation is proposed, and the vibration, natural frequencies and primary resonant of such system are explored. The pipe body is considered to be composed of GPLR viscoelastic polymeric pipe with porosity in which Halpin-Tsai scheme in conjunction with fractional viscoelastic model is used to govern the construction relation of the nanocomposite pipe. Three different porosity distributions through the pipe thickness are introduced. The harmonic concentrated force is also applied on pipe and excitation frequency is close to the first natural frequency. The governing equation for transverse motion of the pipe is derived by the Hamilton principle and then discretized by the Galerkin procedure. In order to obtain the frequency-response equation, the differential equation is solved with the assumption of small displacement, damping coefficient, and excitation amplitude by the multiple scale method. A parametric sensitivity analysis is carried out to reveal the influence of different parameters, such as nanocomposite pipe properties, fluid velocity and nonlinear viscoelastic foundation coefficients, on the primary resonance and linear natural frequency. Results indicate that the GPLs weight fraction porosity coefficient, fractional derivative order and the retardation time have substantial influences on the dynamic response of the system.

Static and Dynamic Instability Characteristics of Thin Plate like Beam with Internal Flaw Subjected to In-plane Harmonic Load

  • R, Rahul.;Datta, P.K.
    • International Journal of Aeronautical and Space Sciences
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    • 제14권1호
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    • pp.19-29
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    • 2013
  • This paper deals with the study of buckling, vibration, and parametric instability characteristics in a damaged cross-ply and angle-ply laminated plate like beam under in-plane harmonic loading, using the finite element approach. Damage is modelled using an anisotropic damage formulation, based on the concept of reduction in stiffness. The effect of damage on free vibration and buckling characteristics of a thin plate like beam has been studied. It has been observed that damage shows a strong orthogonality and in general deteriorates the static and dynamic characteristics. For the harmonic type of loading, analysis was carried out on a thin plate like beam by solving the governing differential equation which is of Mathieu-Hill type, using the method of multiple scales (MMS). The effects of damage and its location on dynamic stability characteristics have been presented. The results indicate that, compared to the undamaged plate like beam, heavily damaged beams show steeper deviations in simple and combination resonance characteristics.

축방향 왕복운동을 하는 집중질량을 가진 외팔보의 동적 안정성 해석 (Dynamic Stability Analysis of an Axially Oscillating Cantilever Beam with a Concentrated Mass)

  • 현상학;유홍희
    • 소음진동
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    • 제11권1호
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    • pp.118-124
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    • 2001
  • The effect of a concentrated mass on the regions of dynamic instability of an axially oscillating cantilever beam is investigated in this paper. The equations of motion are derived using Kane's method and the assumed mode method. It is found that the bending stiffness is harmonically varied by axial inertia forces due to oscillating motion. Under the certain conditions between oscillating frequency and the natural frequencies, dynamic instability may occur and the magnitude of the bending vibration increase without bound. By using the multiple time scales method, the regions of dynamic instability are obtained. The regions of dynamic instability are found to be depend on the magnitude of a concentrated mass or its location.

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훅조인트로 연결된 축계의 비선형 비틀림 진동 : 조합공진의 경우 (Nonlinear Torsional Oscillations of a System Incorporating a Hooke's Joint : Combination Resonances)

  • 장서일
    • 한국소음진동공학회논문집
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    • 제15권6호
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    • pp.706-711
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    • 2005
  • Torsional oscillations of a system incorporating a Hooke's joint are investigated by studying a simple similar nonlinear 2-degree-of-freedom model, which has linear and quadratic nonlinear parametric excitations. The simple system is identified to have the possibilities of primary, sub harmonic and combination resonances. The case of simultaneous primary and combination resonances is selected for perturbation analysis to have the reduced amplitude-equations of motion. The same procedure is applied to the system incorporating a Hooke's joint.

이중판의 차음손실 : II. 다공질재 이중판 (Sound Transmission Loss of Double Panels : II. Double Panels with Porous Materials)

  • 강현주;이정권;김현실;김재승;김상렬
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.634-642
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    • 1998
  • This paper deals with the analytical model of an elastic porous material in sound transmission loss of a double panel with fiber glasses. From the parametric analysis, it is concluded that the boundary condition, which is concerned to the contact between the skin panel and core materials, does not have much influence on sound transmission loss of a double panel with fiber glasses, and material properties of the porous material become, however, important factors to mass-spring-mass resonance. The comparisons of the prediction with the measurement of sound transmission loss of walls show good agreement between the two values.

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Universal Joint를 갖는 구동축 시스템의 비틀림 진동 감소를 위한 Damper의 적정설계에 관한 연구 (A Study on Design of a Damper for Reducing Torsional Vibrations of a Driveline with Universal Joints)

  • 박보용;송창섭;강효식
    • 한국정밀공학회지
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    • 제8권4호
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    • pp.137-145
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    • 1991
  • A universal joint is a connecting device of two hinges which can transmit torque from one shaft to another at fixed or at varying angles of intersection. It has been used properly not only as rotational but also as intermittent motion. For the particular kinematics condition of a universal joint, torsional and bending vibrations are produced excessively in an elastic driveline. In this paper only the torsional vibration behavior of a driveline with universal joints is analyzed numerically with the discrete model and a design method of the dynamic vibration damper is proposed, in order to reduce torsional vibrations especially in resonance region as a result of parametric variation.

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뇌기능 자기공명 영상장치를 이용한 인간 미각에 대한 기초 연구

  • 김수현;이영우;최기승;조지연;박청수;이현용;신운재;은충기;권오식
    • 대한자기공명의과학회:학술대회논문집
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    • 대한자기공명의과학회 2003년도 제8차 학술대회 초록집
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    • pp.26-26
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    • 2003
  • 목적: 본 연구의 목적은 미각자극에 대한 인간 뇌의 활성화 영역을 측정하고 가시화하여 미각의 뇌 활성화 부위에 대한 기초자료를 마련하는데 있다. 대상 및 방법: 5명의 남자 대학생 (평균 24.8세)을 뇌기능 연구의 실험 대상자로 선정하였고, 대상자들은 미각에 이상이 없고 구강수술 경험이 없는 오른손잡이를 대상으로 3번에 걸쳐 EPI 혈액산 소농도의존(blood oxygen level dependent)법을 이용하여 미각자극에 의한 기능적 자기공명영상 실험을 수행하였다. 미각 자극을 위하여 5%의 saline을 사용하였으며 자체적으로 제작한 Stimulator를 사용하여 자극하였다. 자극은 3회의 휴식기간과 2회의 자극기간에 걸쳐 시행하였으며, 각 자극기간은 30초씩 5초 간격으로 이스 당 42개의 영상을 획득했다. Post-processing은 SPM99 (Statistical Parametric Mapping 99, The Wellcome Department of Cognitive Neurology, Oxford 1999)의 correlation법을 사용하여 threshold 0.4∼0.7의 범위에서 통계처리 하였으며, 활성화 영상은 EPI영상과 같은 부위의 T1 강조영상에 overlapping시켰다. 이렇게 얻어진 fMRI 영상으로 활성 영역의 위치를 분석하였다.

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축 방향 왕복운동을 하는 외팔보의 안정성 해석을 위한 모델링 및 검증 (Modeling and Verification for Stability Analysis of Axially Oscillating Cantilever Beams)

  • 김성도;유홍희
    • 한국소음진동공학회논문집
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    • 제16권2호
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    • pp.176-182
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    • 2006
  • Modeling and verification for stability analysis of axially oscillating cantilever beams are investigated in this paper Equations of motion for the axially oscillating beams are derived and transformed into dimensionless forms. The equations include harmonically oscillating parameters which are related to the motion-induced stiffness variation. stability diagram is obtained by using the multiple scale perturbation method. To verify the accuracy of the modeling method, several points in the plane of the stability diagram are presented and solved. The present modeling method proves to be as accurate as a nonlinear finite element modeling method.

유체맥동을 고려한 배관계의 진동해석 (Vibration Analysis of Pipes Considering Fluid Pulsation)

  • 서영수;정석현;이성현;홍진숙;정의봉
    • 한국소음진동공학회논문집
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    • 제16권10호
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    • pp.1050-1056
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    • 2006
  • In this paper, a new method for the stability analysis of a pipe conveying fluid which pulsates periodically is presented. The finite element model is formulated liking into consideration of the effects of the fluid pulsating in a pipe. The damping and stiffness matrices in the finite element equation vary with time due to pulsating fluid. Coupled effects of several harmonic components in the velocity of fluid to a pipe is discussed. A new unstable region appears which will not appear in the stability analysis of single pulsating frequency. A method to directly estimate the forced response of pipe is also discussed. The results presented in this paper are verified by the time domain analysis.

지반과 지하구조물 경계의 미끄러짐 조건에 관한 연구 (Sliding Conditions at the Interface between Soil and Underground Structure)

  • 김대상
    • 한국지진공학회논문집
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    • 제6권1호
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    • pp.7-11
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    • 2002
  • 본 연구에서는 다단계방법(multi-step method)을 사용하여, 지진시 지반과 지하구조물 경계가 가장 미끄러지기 쉬운 상태일 수 있는 지반 공진시에 대하여 지하구조물 축방향 동지반강성계수와 미끄러지기 쉬운 조건들을 구하였다. 상재하중에 의한 지반과 지하구조물 경계에서의 전단저항력과 지진시 발생되는 미끄러짐 부분의 전단력을 비교함으로써 미끄러짐 조건을 결정하였다. 그리고 매개변수 해석을 통하여 지하구조물의 크기와 위치, 지반조건, 표층지반의 형상 및 경계마찰계수에 대하여 미끄러지기 쉬운 조건을 구하였다.