• 제목/요약/키워드: Nonlinear forced vibration

검색결과 78건 처리시간 0.023초

강제진동중인 완전 원판의 혼돈운동 (Chaotic Dynamics of a Forced Perfect Circular Plate)

  • 이원경;박해동
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.430-435
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    • 2005
  • 조화가진력이 작용하는 고정경계를 가진 완전원판의 비선형 진동에 대한 응답특성을 연구하였다. 원판의 비대칭모드의 고유진동수 근처에 가진주파수가 작용하는 주공진에서의 응답은 정상파(standing wave)뿐만 아니라 진행파(traveling wave)가 존재한다고 알려져 있다. 주공진 근처의 정상상태 응답곡선에서 최대한 5개의 안정한 응답이 존재하는 것으로 밝혀졌으며, 이들은 1개의 정상파와 4개의 진행파로 나타난다. 이 진행파중 2개는 Hope분기에 의해 안정성을 잃은 후 주기배가운동을 거쳐 혼돈운동에 이르게 된다. Lyaponov 지수를 사용하여 혼돈운동을 정량적으로 평가하였으며, 주평면의 개념을 이용하여 이 혼돈운동의 흡인영역이 Fractal임을 확인하였다.

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A simplified analysis of super building structures with setback

  • Takabatake, Hideo;Ikarashi, Fumiya;Matsuoka, Motohiro
    • Earthquakes and Structures
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    • 제2권1호
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    • pp.43-64
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    • 2011
  • One-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. The mechanical behavior of structures composed of distinct constituents of different stiffness such as coupled walls with opening is significantly governed by the local variation of stiffness. Furthermore, in structures with setback the distribution of the longitudinal stress behaves remarkable nonlinear behavior in the transverse-wise. So, the author proposed the two-dimensional rod theory as an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. This paper proposes how to deal with the two-dimensional rod theory for structures with setback. Validity of the proposed theory is confirmed by comparison with numerical results of computational tools in the cases of static, free vibration and forced vibration problems for various structures. The transverse-wise nonlinear distribution of the longitudinal stress due to the existence of setback is clarified to originate from the long distance from setback.

강제진동을 받는 강판 콘크리트 (SC) 벽체에서 스터드의 성능평가를 위한 해석적 연구 (Analytical Study for Performance Evaluation of Studs for Steel Plate Concrete (SC) Walls subjected to Forced Vibration)

  • 이성태
    • 한국구조물진단유지관리공학회 논문집
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    • 제20권3호
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    • pp.75-82
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    • 2016
  • 이 연구에서는 SC 전단벽의 전단 연결재인 스터드의 배치와 형상이 SC 전단벽의 거동에 미치는 영향을 살펴보기 위해 전단벽체가 강제진동을 받을 때의 거동을 해석적으로 검토하였다. 이를 위해 서로 다른 배치간격과 형상의 스터드가 배열된 SC 전단벽을 대상으로 유한요소해석을 수행하였다. 그 결과, 시간이력해석으로부터 구한 감쇠비가 파워반감대역폭법이 전반적으로 높게 그리고 적합지수함수법이 가장 낮은 수준으로 산정했으며 설계강도 절반정도에서의 감쇠비는 3.0~4.2%로, 설계강도에서는 4.1~5.2%로 나타남을 알 수 있었다. 또한, 개선된 스터드를 사용할 때, 감쇠비가 약간 감소하였고 DS1과 DS2 간에는 일관된 결과가 나타나지 않았다. 스터드의 간격이 필요이상 증가할 경우, 고유진동수가 감소하고 감쇠비가 증가함을 확인하였다.

비선형 경계조건을 고려한 내부 유체의 3차원 자유수면 유동해석 (3-D analysis of sloshing motion in a fluid container with nonlinear boundary conditions)

  • 김문겸;임윤묵;조경환;박종헌;이성민
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2002년도 춘계 학술발표회 논문집
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    • pp.177-184
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    • 2002
  • Large amplitude sloshing can occur in contained fluid region due to the seismic ground motion. Also, The pressure by large amplitude sloshing damages the connections between the wall and roof of a fluid container and causes outflow of contained fluid. Therefore, to predict the dynamic behavior accurately, three dimensional analysis with the nonlinear boundary condition must be performed. In this study, the numerical solution procedure is developed using the boundary element method with the Lagrangian particle approach. In order to demonstrate the accuracy and validity of the developed method, the fluid motion for a free oscillation with small amplitude and a forced vibration are analyzed. And the numerical results are compared with the linear theory results and the previous studies with the nonlinear boundary condition.

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强制 對稱 偏的 線型 振動子의 定常解 (Steady-State Solution of Forced Symmetric Piecewise-Linear Oscillator)

  • 최연선
    • 대한기계학회논문집
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    • 제13권4호
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    • pp.583-594
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    • 1989
  • 본 연구는 기계적 간극의 존재로 양면 접촉에 의한 강성 및 감쇠가 대칭적 으로 두번 생기는 강제 대칭 편적 선형(forced symmetric piecewise-linear vibarti- on)에 대하여 비선형진동의 분수조화 정상해 과정을 설명한 Stoker 가설로부터 분수조화진동을 포함한 복수의 정상해를 구하고 피로, 마멸 연구를 위한 접촉시간 및 접촉력을 계산하였다. 또한 강제 대칭 편적 선형진동자의 운동방정식을 무차원화 하고 각 무차원 시스템 변수에 따른 주파수응답특성을 살펴보았다.

On nonlinear deflection analysis and dynamic response of sandwich plates based on a numerical method

  • Yong Huang;Zengshui Liu;Shihan Ma;Sining Li;Rui Yu
    • Steel and Composite Structures
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    • 제47권1호
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    • pp.79-90
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    • 2023
  • Nonlinear forced vibration properties of three-layered plates containing graphene platelets (GPL) filled skins and an auxetic core have been inquired within the present paper. Owning reduced weight as well as reduced stiffness, rectangle-shaped auxetic cores have been frequently made from novel techniques such as additive manufacturing. Here, the rectangle shape core is amplified via the graphene-filled layers knowing that the layers possess uniform and linear graphene gradations. The rectangle shape core has the equivalent material specifications pursuant to relative density value. The sandwich plate is formulated pursuant to Kirchhoff plate theory while a numerical trend has been represented to discretize the plate equations. Next, an analytical trend has been performed to establish the deflection-frequency plots. Large deflections, core density and GPL amplification have showed remarkable impacts on dynamic response of three-layered plates.

양단지지된 변단면보의 자유 및 강제진동의 비선형해석 (Nonlinear Analysis of Stepped Beam Immovable Ends for Free and Forced Vibrations)

  • 심재수;함원식
    • 전산구조공학
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    • 제3권2호
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    • pp.67-75
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    • 1990
  • 자유 및 강제진동하중이 작용하는 양단지지된 변단면 들보의 우한 진폭 운동을, 축방향 및 전단변형과 회전관성을 고려한 유한요소를 이용하여 추적하였다. 수정된 조화하중 행렬을 도입하여 조화하중이 작용하는 변단면 들보와 비조화하중이 작용하는 들보의 유한진폭의 운동을 비선형해석을 하였다. 여러가지 경계조건에 대한 고유진동수와 변위를 계산한 예들은 제안된 방법이 효과적이며 유효함을 보여준다.

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Combination resonances in forced vibration of spar-type floating substructure with nonlinear coupled system in heave and pitch motion

  • Choi, Eung-Young;Jeong, Weui-Bong;Cho, Jin-Rae
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제8권3호
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    • pp.252-261
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    • 2016
  • A spar-type floating substructure that is being widely used for offshore wind power generation is vulnerable to resonance in the heave direction because of its small water plane area. For this reason, the stable dynamic response of this floating structure should be ensured by accurately identifying the resonance characteristics. The purpose of this study is to analyze the characteristics of the combination resonance between the excitation frequency of a regular wave and natural frequencies of the floating substructure. First, the nonlinear equations of motion with two degrees of freedom are derived by assuming that the floating substructure is a rigid body, where the heaving motion and pitching motions are coupled. Moreover, to identify the characteristics of the combination resonance, the nonlinear term in the nonlinear equations is approximated up to the second order using the Taylor series expansion. Furthermore, the validity of the approximate model is confirmed through a comparison with the results of a numerical analysis which is made by applying the commercial software ANSYS AQWA to the full model. The result indicates that the combination resonance occurs at the frequencies of ${\omega}{\pm}{\omega}_5$ and $2{\omega}_{n5}$ between the excitation frequency (${\omega}$) of a regular wave and the natural frequency of the pitching motion (${\omega}_{n5}$) of the floating substructure.

Field testing of a seismically isolated concrete bridge

  • Chang, K.C.;Tsai, M.H.;Hwang, J.S.;Wei, S.S.
    • Structural Engineering and Mechanics
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    • 제16권3호
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    • pp.241-257
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    • 2003
  • The first seismically isolated structure in Taiwan was completed in early 1999. Seven new bridges of the Second National Freeway located at Bai-Ho area, a region which is considered to be of high seismic risk, have been designed and constructed with lead-rubber seismic isolation bearings. Since this is the first application of seismic isolation method to the practical construction in Taiwan, field tests were conducted for one of the seven bridges to evaluate the assumptions and uncertainties in the design and construction. The test program is composed of ambient vibration tests, forced vibration tests, and free vibration tests. For the free vibration tests, a special test setup composed of four 1000 kN hydraulic jacks and a quick-release mechanism was designed to perform the function of push-and-quick release. Valuable results have been obtained based on the correlation between measured and analytical data so that the analytical model can be calibrated. Based on the analytical correlation, it is concluded that the dynamic characteristics and free vibration behavior of the isolated bridge can be well captured when the nonlinear properties of the bearings are properly considered in the modeling.

항공기의 조종면 진동시 비선형 공탄성 시뮬레이션 (Nonlinear Aeroelastic Simulation of a Full-Span Aircraft with Oscillating Control Surfaces)

  • 유재한;김동현;권혁준;이인;백승길;김영익
    • 한국군사과학기술학회지
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    • 제5권4호
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    • pp.81-87
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    • 2002
  • In this paper, the transonic aeroelastic behavior of the generic fighter model is investigated in the time domain. The simulation of flutter flight test using forced harmonic motion of control surfaces including inertial coupling effects is conducted at the various conditions. The nonlinear aerodynamic effects are considered using a transonic small disturbance equation. A modal model obtained by a free vibration analysis is used for the structural model. The relations between the computed flutter boundary and the simulation results of the responses using the harmonic motions of control surfaces at various conditions are investigated.