• 제목/요약/키워드: undamped free vibration

검색결과 9건 처리시간 0.023초

선박 추진축계 종.비틂 연성 비감쇠 고유진동 감도해석 (The Sensitivity Analysis of Coupled Axial and Torsional Undamped Free Vibration of Ship Propulsion Shafting)

  • 김연호;조대승
    • 대한조선학회논문집
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    • 제38권4호
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    • pp.48-55
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    • 2001
  • 본 논문에서는 선박 추진축계의 중간 축과 프로펠러 축 직경 변경시에 추진축계 고유진동특성을 효율적으로 산정하고, 선박 주기관 연속운항 금지구간 설정에 영향을 미치는 비틂공진점의 최적 설계를 도모할 수 있는 추진축계 종 비틂 연성 고유진동 감도해석방법을 제시하였다. 제시된 방법의 타당성과 효율성은 2척의 실선 추진축계을 대상으로 중간 축 프로펠러 축 직경에 대한 고유진동수 감도해석을 수행하여 검토하였다. 아울러, 선급 규정을 충족시키는 범위 안에서 중간축 및 프로펠러 축의 인장강도와 축경을 변화할 경우의 종 비틂 연성 고유진동수 변화량을 고찰하였다.

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외팔보의 비감쇠 진동시 가진력에 의한 동적 반응의 민감도 정식화 및 해석 (Applicaion of Sensitivity Formulation to Analyze the Dynamic Response due to the Excitation Force for the Undamped Vibration of Cantilever Beam)

  • 윤성호
    • 한국기계가공학회지
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    • 제19권11호
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    • pp.29-34
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    • 2020
  • In this study, a sensitivity formulation was applied to analyze the dynamic response due to the effect of the excitation force for the undamped vibration of the cantilever beam. The theoretically fundamental formulations were derived considering an eigenvalue problem and its modal analysis to govern the second order algebraic differential equation in terms of the change in the modal coordinate with respect to the design parameters. A representative physical quantity pertaining to the dynamic response, that is, the rate of change in the dynamic displacement, was observed by changing the design variables, such as the cross-sectional area of the beam. The numerical results were obtained at various locations, considering the application of the external forces and observation of the dynamic displacement. When the detection position was closer to the free end of the cantilever beam, the sensitivity of the dynamic displacement was higher, as predicted through the oscillating motion of the beam. The presented findings can provide guidance to compute the dynamic sensitivity for a flexibly connected structure under dynamic excitations.

A modified modal perturbation method for vibration characteristics of non-prismatic Timoshenko beams

  • Pan, Danguang;Chen, Genda;Lou, Menglin
    • Structural Engineering and Mechanics
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    • 제40권5호
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    • pp.689-703
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    • 2011
  • A new perturbation method is introduced to study the undamped free vibration of a non-prismatic Timoshenko beam for its natural frequencies and vibration modes. For simplicity, the natural modes of vibration of its corresponding prismatic Euler-Bernoulli beam with the same length and boundary conditions are used as Ritz base functions with necessary modifications to account for shear strain in the Timoshenko beam. The new method can transform two coupled partial differential equations governing the transverse vibration of the non-prismatic Timoshenko beam into a set of nonlinear algebraic equations. It significantly simplifies the solution process and is applicable to non-prismatic beams with various boundary conditions. Three examples indicated that the new method is more accurate than the previous perturbation methods. It successfully takes into account the effect of shear deformation of Timoshenko beams particularly at the free end of cantilever structures.

추가변형률 유한요소-직접적분법을 이용한 복합적층 곡선패널의 비감쇠 강제진동응답 (Undamped Forced Vibration Response of Curved Composite Panels using Enhanced Assumed Strain Finite Element-Direct Integration Method)

  • 박원태;천경식;손병직
    • 한국구조물진단유지관리공학회 논문집
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    • 제8권2호
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    • pp.247-258
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    • 2004
  • 복합적층 곡선패널의 비감쇠 강제진동문제를 해결하기 위한 쉘 요소를 제안하였다. 본 연구에서는 절점당 6개의 자유도를 갖는 4절점 EAS 쉘요소를 사용하였다. EAS 방법을 이용하여 전단잠김과 면내잠김 현상을 극복하였으며, 전단보정계수를 사용하지 않고 분포형상함수에 의해 두께방향에 따른 전단변형을 포물선으로 분포시킨 수정된 1차전단변형이론을 적용하였다. Newmark 직접적분법이 시간에 관한 운동방정식의 적분과 시간이력을 해결하기 위해 적용되었다. 곡선패널의 기하학적 조건과 화이버 보강각도 및 적층조건 등의 매개변수 변화에 따른 강제진동응답을 분석하였다.

Dynamic stiffness analysis of steel-concrete composite beams

  • Li, Jun;Huo, Qiji;Li, Xiaobin;Kong, Xiangshao;Wu, Weiguo
    • Steel and Composite Structures
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    • 제16권6호
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    • pp.577-593
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    • 2014
  • An exact dynamic stiffness method is introduced for investigating the free vibration characteristics of the steel-concrete composite beams consisting of a reinforced concrete slab and a steel beam which are connected by using the stud connectors. The elementary beam theory is used to define the dynamic behaviors of the two beams and the relative transverse deformation of the connectors is included in the formulation. The dynamic stiffness matrix is formulated from the exact analytical solutions of the governing differential equations of the composite beams in undamped free vibration. The application of the derived dynamic stiffness matrix is illustrated to predict the natural frequencies and mode shapes of the steel-concrete composite beams with seven boundary conditions. The present results are compared to the available solutions in the literature whenever possible.

점탄성물질 난류댐퍼를 이용한 K형 철골 브레이스 골조의 진동응답해석 (A Vibration Response Analysis of Steel Building Frame with K Shape Brace Vibrationally Controlled by Turbulent Flow Dampers sealed by Visco-elastic Material)

  • 이호
    • 한국공간구조학회논문집
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    • 제6권2호
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    • pp.61-68
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    • 2006
  • 본 논문에서는 패시브 진돈제어시스템을 설치한 실대물 K형 철골브레이스 골조의 실험결과를 다루었다. 패시브 진동제어시스템은 점탄성물질을 이용하여 새롭게 개발된 댐퍼를 사용하였다. 이 실험모델의 진동제어 효율성을 확인하고 철골조 브레이싱의 진동반응특성을 조사하기 위하여 일련의 실험을 행하였다. 자유진동실험결과 댐퍼를 설치시 설치하지 않은 경우와 비교하여 3배정도의 진동제어능력을 나타냈다. 점탄성물질 난류댐퍼의 효율성은 진동실험에 의하여 확인되었다.

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Damped frequencies of precast modular steel-concrete composite railway track slabs

  • Kaewunruen, Sakdirat;Kimani, Stephen Kimindiri
    • Steel and Composite Structures
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    • 제25권4호
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    • pp.427-442
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    • 2017
  • This paper presents unprecedented damped oscillation behaviours of a precast steel-concrete composite slab panel for track support. The steel-concrete composite slab track is an innovative slab track, a form of ballastless track which is becoming increasingly attractive to asset owners as they seek to reduce lifecycle costs and deal with increasing rail traffic speeds. The slender nature of the slab panel due to its reduced depth of construction makes it susceptible to vibration problems. The aim of the study is driven by the need to address the limited research available to date on the dynamic behaviour of steel-concrete composite slab panels for track support. Free vibration analysis of the track slab has been carried out using ABAQUS. Both undamped and damped eigenfrequencies and eigenmodes have been extracted using the Lancsoz method. The fundamental natural frequencies of the slab panel have been identified together with corresponding mode shapes. To investigate the sensitivity of the natural frequencies and mode shapes, parametric studies have been established, considering concrete strength and mass and steel's modulus of elasticity. This study is the world first to observe crossover phenomena that result in the inversion of the natural orders without interaction. It also reveals that replacement of the steel with aluminium or carbon fibre sheeting can only marginally reduce the natural frequencies of the slab panel.

정규모우드 방법을 활용한 진자형 흡진기의 비선형 동역학에 관한 연구 (On the Normal Mode Dynamics of a Pendulum Absorber)

  • 심재구;박철희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 춘계학술대회논문집; 부산수산대학교, 10 May 1996
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    • pp.177-183
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    • 1996
  • By utilizing the concept of normal modes, nonlinear dynamics is studied on pendulum dynamic absorber. When the spring mode loses the stability in undamped free system, a dynamic two-well potential is formed in Poincare map. A procedure is formulated to compute the forced responses associated with bifurcating mode and predict double saddle-loop phenomenon. It is found that quasiperiodic motion and stable periodic motion coexist in some parameter ranges, and only periodic motions or rotation of pendulum with chaotic fluctuation are observed in other ranges.

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차량하중에 의한 사장교의 동적거동에 관한 연구 (A Study on Dynamic Behaviour of Cable-Stayed Bridge by Vehicle Load)

  • 박춘혁;한재익
    • 대한토목학회논문집
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    • 제14권6호
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    • pp.1299-1308
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    • 1994
  • 본 연구는 사장교의 차량하중에 의한 동적거동을 파악하고자 수치해석상 비교적 간단한 일본의 풍리(豊里)(Toyosato)대교(大橋)의 자료를 근거로하여 수치해석 대상모델을 구조형식별로, 여러가지 설계변수-즉, (1) 경간비, (2) 중앙경간장과 주탑높이와의 비, (3) 거어더의 강성, (4) 주탑의 강성, (5) 케이블의 강성-을 변화시켜 수치해석을 수행하여 동적거동을 파악하고, 그 결과를 가지고 설계변수의 영향 및 충격계수의 변화에 대하여 비교 분석하였다. 이때 변위 및 단면력의 영향선을 구하기 위한 해석은 전달행렬법을 이용하였으며, 동적해석에 있어서는 평면구조계의 집중질량계로 모델을 가정하여 차량과 교량의 운동방정식을 유도한 후 모드중첩법을 사용하여 각 질점에 대한 변위 및 단면력의 동적시간이력을 구하였다.

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