• 제목/요약/키워드: Non-Linear stiffness

검색결과 308건 처리시간 0.03초

기관축계의 비선형 다자유도 강제 비틀림진동에 관한 연구 (A Study on the Non-linear Forced Torsional Vibration for Propulsion Shaftings with Multi-Degree-of-Freedom System)

  • 김수철;이문식;장민오;김의간
    • Journal of Advanced Marine Engineering and Technology
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    • 제24권6호
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    • pp.7-14
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    • 2000
  • Nowadays, the viscous damper using high viscosity oil was much to be used for engine shafting system to reduce the excessive additional stress by torsional vibration. In general, it was assumed that the viscous damper could be modelled having only damping coefficient, that is to say, whose stiffness be ignored. But it is found that there exists a jump phenomenon, as a kind of non-linear vibration, in the actual engine shafting system with a damper of high viscosity. Therefore the damper ring and the casing are modelled as two mass elastic system with a complex viscosity. Also, to analyze a non-linear phenomenon, it is assumed that the viscous damper has a linear stiffness coefficient in proportion to the angular amplitude and a non-linear stiffness coefficient in proportion to cube of the angular amplitude. For the analysis, Quasi-Newton method with BFGS(Broyden-Fletcher-Goldfarb-Shanno) formula is used. Both calculated and measured values are provided in this paper which confirm the possibility of applying non-linear theory to engine shafting system with viscous damper.

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Post-buckling analysis of piles by perturbation method

  • Zhao, M.H.;He, W.;Li, Q.S.
    • Structural Engineering and Mechanics
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    • 제35권2호
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    • pp.191-203
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    • 2010
  • To investigate the critical buckling load and post-buckling behavior of an axially loaded pile entirely embedded in soil, the non-linear large deflection differential equation for a pinned pile, based on the Winkler-model and the discretionary distribution function of the foundation coefficient along pile shaft, was established by energy method. Assuming that the deflection function was a power series of some perturbation parameter according to the boundary condition and load in the pile, the non-linear large deflection differential equation was transformed to a series of linear differential equations by using perturbation approach. By taking the perturbation parameter at middle deflection, the higher-order asymptotic solution of load-deflection was then found. Effect of ratios of soil depth to pile length, and ratios of pile stiffness to soil stiffness on the critical buckling load and performance of piles (entirely embedded and partially embedded) after flexural buckling were analyzed. Results show that the buckling load capacity increases as the ratios of pile stiffness to soil stiffness increasing. The pile performance will be more stable when ratios of soil depth to pile length, and soil stiffness to pile stiffness decrease.

강성 저하된 적층복합판의 비선형 해석 (Non-linear Analysis of Laminated Composite Plates with Multi-directional Stiffness Degradation)

  • 한성천;박원태;이원홍
    • 한국산학기술학회논문지
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    • 제11권7호
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    • pp.2661-2669
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    • 2010
  • 본 연구에서는 매트릭스가 손상된 적층복합판의 비선형 거동을 분석하기 위한 일차전단변형이론에 기초한 유한요소 정식을 유도하였다. Duan and Yao가 제안한 Matrix 균열의 강성 치환 방법을 적용하여 다방향 강성저하식을 구성하였다. 발생된 Matrix 균열은 탄성계수, 전단탄성계수 및 프아송비의 변화로 표현할 수 있으며, 이를 이용하여 판의 국부 강성 변화를 예측할 수 있다. 가정된 자연변형률 방법을 적용한 쉘요소를 이용하여 면내 및 전단잠김 현상이 발생하지 않았다. 적층복합판의 선형해석은 물론 비선형 해석결과들은 참고문헌의 결과들에 수렴되었다. 매트릭스가 손상된 적층복합판의 해석 결과들은 향후 연구에 비교자료로 활용될 수 있을 것이다.

비대칭 박벽보에 대한 엄밀한 동적 강도행렬의 유도 (Derivation of Exact Dynamic Stiffness Matrix for Non-Symmetric Thin-walled Straight Beams)

  • 김문영;윤희택
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.369-376
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    • 2000
  • For the general loading condition and boundary condition, it is very difficult to obtain closed-form solutions for buckling loads and natural frequencies of thin-walled structures because its behaviour is very complex due to the coupling effect of bending and torsional behaviour. Consequently most of previous finite element formulations introduced approximate displacement fields using shape functions as Hermitian polynomials, isoparametric interpoation function, and so on. The purpose of this study is to calculate the exact displacement field of a thin-walled straight beam element with the non-symmetric cross section and present a consistent derivation of the exact dynamic stiffness matrix. An exact dynamic element stiffness matrix is established from Vlasov's coupled differential equations for a uniform beam element of non-symmetric thin-walled cross section. This numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. The natural frequencies are evaluated for the non-symmetric thin-walled straight beam structure, and the results are compared with available solutions in order to verify validity and accuracy of the proposed procedures.

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강체롤과 접촉 회전하는 브러시롤의 진동 현상 (Vibration Behavior of a Rotating Brush Roll in Contact with a Solid Roll)

  • 허주호
    • 소음진동
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    • 제7권3호
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    • pp.499-509
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    • 1997
  • During the process of oxide removal from work rolls in sheet metal manufacture, filamentary brushes frequently exhibit a bouncing or chatter behavior. The dynamics of this phenomenon is investigated through the development of expressions for the non-linear contact stiffness between the brush and the roll. With formulation of simple structural models, the time responses in the presence and absence of friction under random excitation are investigated. Possible solutions for the minimization or avoidance of this bouncing or chatter problem are also suggested.

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모드중첩법을 이용한 전단보 모델의 비선형 해석 (Non-Liner Analysis of Shear Beam Model using Mode Superposition)

  • 김원종;홍성목
    • 한국지진공학회논문집
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    • 제3권2호
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    • pp.87-96
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    • 1999
  • 시간영역에서의 구조물의 해석은 직접적분법과 모드중첩법에 의하여 구해질 수 있다 그 중에서도 모드중첩법에 의한 해석방법은 몇가지 저차 진동모드를 사용하여 비교적 정확한 해를 구할 수 있기 때문에 동적해석에 널리 사용되고 있다, 그러나 비선형해석에서는 각 부재들의 상태에 따라 강성이 달라지므로 고유 진동모드를 정의할수 없거나 변화되는 강성에 따라 고유진동 모드를 지속적으로 다시 구하여야 하는 불편 있으므로 모드 중첩법을 이용한 비선형해석은 완전탄소성모델 등 극히 제한된 조건에서만 실행이 가능하였다 본논문에서는 강성행렬을 각 부재별로 분리시키고 비선형복원력과 초기선형복언력과 초기선형복원력의 차이를 하중항에 반영시킴으로써 모드중첩법을 이용하여 비선형 해석은완전탄소성모델 등 극히 제한된 조건에서만 실행이 가능하였다 본 논문에서는 강성행렬을 각 부재별로 분리시키고 비선형 복원력과 초기선형복원력의 차이를 하중항에 반영시킴으로써 모드중첩법을 이용하여 비선형해석이 가능한 방법을 제시하고자 한다. 특히 각 부재 강성을 각 부재의 상대변위의 함수로 나타냄으로써 연속적인 계산이 가능하게 하였다 본 논문에서 제시된 방법은 전단보모델에 적용하였으며 모드 개수를 변화시켜 지진하중에 의한 최대변위를 계산하여 이를 직접적분버에 의한 결과와 비교하였다.

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Timoshenko보 요소를 이용한 평면 뼈대구조의 탄-소성 해석 (Elasto-Plastic Analysis of Plane Frame Structures using Timoshenko Beam Element)

  • 정동영;이정석;신영식
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.327-334
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    • 2001
  • This paper presents a non-linear analysis procedure for plane frame structures by finite element formulation with assumptions of Timoshenko beam theory. Finite element displacement method based on Lagrangian formulation is used and two-noded and isoparametric line element is adopted to represent finite element model. The layered approach is used for the elasto-plastic analysis of the plane frame structures with rectangular and I cross sections. A load incremental method combined with the tangent stiffness and the initial stiffness methods for each load increment is used for the solution of non-linear equations. Numerical examples are presented to investigate the behavior and the accuracy of the elasto-plastic non-linear application and the results of this study are compared with other solutions using the concept of plastic hinge.

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반강접성을 고려한 강뼈대 구조물의 비선형 해석에 관한 연구 (A Study on the Non-linear Analysis of Steel Frame with Semi-rigid Connections)

  • 이종석;이상엽;김정훈
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.111-118
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    • 1997
  • Generally, H-section is used for columns and beams in the middle and low building steel structure, But it has a axis and a weak axis. Thus if H-section is used for columns, the structure needs reinforcement on the weak axis. Therefore recently, square hollow section(S.H.S) is used for columns because it is able to cover the vulnerability of H-section. Structural analysis is usually executed under the assumption that connections are either ideally pinned joint or fully joint. Actually all connections are semi-rigid which possess a rotational stiffness. Therefore it can be designed economically as using the property of connections which has a rotational stiffness. This paper presents a prediction model curve which is fitted with Kishi-Chen Power Model about the behavior of connection between H-beam and S.H.S column in the previous experimental paper. It also suggests the new analysis algorithm considering the non-linear of semi-rigid connection and the geometrical non-linear under the effect of axial force.

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장대레일 철도 교량의 축력 영향인자 분석 (Influence Factors Affecting the Longitudinal Force of Continuous Welded Rail on Railroad Bridges)

  • 김경삼;한상윤;임남형;강영종
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2003년도 추계학술대회 논문집(II)
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    • pp.385-390
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    • 2003
  • Recently, use of Continuous Welded rail(CWR) is increased for structural, economical reason but new problem is caused accordingly and phenomenon that give threat in traveling by ship stability of train is led. According as rail is prolonged, excessive relative displacement and longitudinal force can happen to rail by temperature change and external force. Specially, buckling or fracture of rail can happen in railroad bridges because relative displacement by bridge and properties of matter difference between rail grows and additional axial force happens to rail by behavior of bridge. According to several study, longitudinal force of rail in bridge is influenced with ballast resistance, elongation length, boundary condition, stiffness of framework. Non-linear behavior of ballast acts by the most important factor in interaction between rail and bridge. Therefore, must consider stiffness of bridge construction with non-linear characteristic of ballast and stiffness of base for accuracy with longitudinal force calculation and analyze. In this study, perform material non-linear analysis for longitudinal force of CWR and three dimensional buckling analysis to decide buckling force.

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