• 제목/요약/키워드: Nonlinear spring element

검색결과 122건 처리시간 0.025초

Study on the influence of hold-down spring on the vibration characteristics of core barrel

  • Tiancai Tan;Lei Sun;Litao Liu;Jie Yang
    • Nuclear Engineering and Technology
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    • 제55권9호
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    • pp.3252-3259
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    • 2023
  • The influence of hold-down spring (HDS) on the vibration characteristics of core barrel is studied in this paper. First, the vibration characteristics experiment of core barrel was carried out with four type of different hold-down spring. These hold-down springs represent the same hold-down force under different spring stiffness and different hold-down force under the same spring stiffness. And then a new finite element method for researching the influence of hold-down spring on the vibration characteristics of core barrel was presented. This new method could consider the influence of the hold-down force and the spring stiffness at the same time. The results suggest that, the hold-down force and friction have greater influence on the vibration characteristics of core barrel than the spring stiffness, and the influence is nonlinear. The influence of the boundary condition on beam mode is greater than that on shell mode for core barrel.

가선계의 동특성 해석 (A Study on the Dynamic Characteristics of Catenary)

  • 최병두;김정수
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 1998년도 창립기념 춘계학술대회 논문집
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    • pp.525-532
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    • 1998
  • In this study, dynamic characteristics of catenary that supplies electrical power to high-speed trains is investigated. A particular emphasis is placed on the effect of droppers on the dynamic response of the contact wire, a dropper is an element that connects the contact wire with the messenger wire so as to maintain near uniform compliance, Finite element model compressing 3 spans is constructed. For the linear model, droppers are modeled as linear springs with various stiffness values. Modal analysis is performed to obtain the natural frequencies and modes and the variation in the modal density distribution for changing stiffness values are noted. Impulse response is also obtained through computer simulation. In practice, dropper is a nonlinear element with low stiffness in compression and high stiffness in tension. Hence, dropper can be modeled as a nonlinear spring with hi-directional stiffness values. Impulse and harmonic responses are obtained for the nonlinear model through simulation. The responses aye also compared with the linear cases.

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헤르쯔 접촉스프링과 레일 요철을 고려한 차량-교량 동적상호작용 비선형 해석 (Nonlinear Dynamic Analysis of Vehicle-Bridge Interaction considering the Hertzian Contact Spring and Rail Irregularities)

  • 강영종;웬판반;김정훈;강윤석
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2010년도 춘계학술대회 논문집
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    • pp.1478-1485
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    • 2010
  • In this paper, the nonlinear dynamic response of Vehicle-Bridge interaction with the coupled equations of motion including nonlinear Hertzian contact is presented. The moving train model is chosen to have 10 degrees of freedom (DOF). The bridge is modeled as 2D Euler-Bernoulli beam element with 4 DOF for each element, two for rotations and another two for translations. The nonlinear Hertzian contact is used to simulate the interaction between vehicle and bridge. Base on the relationship of wheel displacement of the vehicle and the vertical displacement of the bridge in Hertzian contact, the coupled equations of motion of the whole system is derived. The convenient formulation was encoded into a computer program. The contact forces, contact area and stress of the rail surface were also computed. The accuracy and efficiency of the proposed program are verified and compared with exact analytical solution and other previous studies. Various numerical examples and parametric studies have demonstrated the versatility and applicability of the proposed program.

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풍력발전기용 볼 베어링의 단순화 볼 모델을 이용한 해석기법 연구 (A Study on a Finite Element Analysis Method Using Simplified Ball Models of Wind Turbine Ball Bearings)

  • 김승우;송정우;홍준표;강종훈
    • 풍력에너지저널
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    • 제14권4호
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    • pp.21-28
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    • 2023
  • This study focuses on the analysis of slewing ball bearings in wind turbines. Slewing bearings have an outer diameter of several meters, and hundreds of balls are in contact with the raceway. Due to the large number of balls and raceway contact conditions, it is difficult to accurately analyze contact stresses using general analysis techniques. To analyze the contact stress of a slewing ball bearing, the sub-modeling method is applied, which is a technique that first analyzes the displacement of the entire model and then analyzes the local stress at the point of maximum displacement. In order to reduce the displacement analysis time of the entire ball bearing, the technique of replacing the ball with a nonlinear spring is adopted. The analytical agreement of the simplified model was evaluated by comparing it with a solid mesh model of the ball for three models with different spring attachment methods. It was found that for the condition where a large turnover moment is applied to the bearing, increasing the number of spring elements gives the closest results to modeling the ball with a solid mesh.

Evaluating the accuracy of a new nonlinear reinforced concrete beam-column element comprising joint flexibility

  • Izadpanah, Mehdi;Habibi, AliReza
    • Earthquakes and Structures
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    • 제14권6호
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    • pp.525-535
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    • 2018
  • This study presents a new beam-column model comprising material nonlinearity and joint flexibility to predict the nonlinear response of reinforced concrete structures. The nonlinear behavior of connections has an outstanding role on the nonlinear response of reinforced concrete structures. In presented research, the joint flexibility is considered applying a rotational spring at each end of the member. To derive the moment-rotation behavior of beam-column connections, the relative rotations produced by the relative slip of flexural reinforcement in the joint and the flexural cracking of the beam end are taken into consideration. Furthermore, the considered spread plasticity model, unlike the previous models that have been developed based on the linear moment distribution subjected to lateral loads includes both lateral and gravity load effects, simultaneously. To confirm the accuracy of the proposed methodology, a simply-supported test beam and three reinforced concrete frames are considered. Pushover and nonlinear dynamic analysis of three numerical examples are performed. In these examples the nonlinear behavior of connections and the material nonlinearity using the proposed methodology and also linear flexibility model with different number of elements for each member and fiber based distributed plasticity model with different number of integration points are simulated. Comparing the results of the proposed methodology with those of the aforementioned models describes that suggested model that only uses one element for each member can appropriately estimate the nonlinear behavior of reinforced concrete structures.

Large deflection analysis of edge cracked simple supported beams

  • Akbas, Seref Doguscan
    • Structural Engineering and Mechanics
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    • 제54권3호
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    • pp.433-451
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    • 2015
  • This paper focuses on large deflection static behavior of edge cracked simple supported beams subjected to a non-follower transversal point load at the midpoint of the beam by using the total Lagrangian Timoshenko beam element approximation. The cross section of the beam is circular. The cracked beam is modeled as an assembly of two sub-beams connected through a massless elastic rotational spring. It is known that large deflection problems are geometrically nonlinear problems. The considered highly nonlinear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The beams considered in numerical examples are made of Aluminum. In the study, the effects of the location of crack and the depth of the crack on the non-linear static response of the beam are investigated in detail. The relationships between deflections, end rotational angles, end constraint forces, deflection configuration, Cauchy stresses of the edge-cracked beams and load rising are illustrated in detail in nonlinear case. Also, the difference between the geometrically linear and nonlinear analysis of edge-cracked beam is investigated in detail.

전단스프링과 섬유요소를 이용한 철근콘크리트 전단벽의 비선형 해석모델에 관한 연구 (Nonlinear Modeling of RC Shear Walls Using Fiber and Shear Spring Elements)

  • 이광호;유태상;김태완;정성훈
    • 콘크리트학회논문집
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    • 제24권5호
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    • pp.559-566
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    • 2012
  • 철근콘크리트 전단벽을 모델링하기 위해서 섬유요소와 전단스프링을 사용한 모델을 개발하였다. 섬유요소는 전단벽의 휨변형을 나타내며, 전단스프링은 전단변형을 나타낸다. 섬유요소는 단면치수와 비선형 재료성질을 입력하여 모델링되며, 전단스프링은 섬유요소모델과 VecTor2프로그램의 해석 결과로부터 그 변수들을 선정한다. 전단스프링은 전단변형에 의한 강도 강성 감소, 핀칭효과, 그리고 슬립현상을 모사할 수 있는 OpenSees의 Pinching4 모델을 사용하였다. 전단스프링의 변수선정과정은 복잡하고 시간이 오래 걸린다. 따라서 섬유요소모델의 사용성을 검토하기 위해 전단벽의 형상비(H/L), 보의 높이변화, 그리고 보와 전단벽의 강성비 휨강도비를 변수로 하여 전단벽 건물에 동적해석을 수행하였다. 전단벽의 형상비는 섬유요소모델을 사용한 모델과 섬유요소와 전단스프링을 함께 사용한 모델의 층간변위비 오차와 일정한 관계를 가진다. 하지만 보의 높이변화와 강성비 휨강도비 변화에 두 모델의 오차는 일정한 관계를 보이지 않는다.

이형단면 코일 스프링의 응력해석 (Stress Analysis of a Coil Spring with Nonlinear Section)

  • 이인혁;한동철
    • 대한기계학회논문집
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    • 제15권6호
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    • pp.1831-1838
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    • 1991
  • 본 연구에서는 와핑과 두 단면중심의 불일치에 의해 발생하는 기하중심의 이 동을 고려한 등매개변수보요소를 개발하여 스프링단면의 응력해석을 수행하고 그 결과 를 다음과 같이 검증할 것이다.우선 본 연구에 사용된 보요소가 이 두 효과를 효과 적으로 표현하고 있는지를 확인하기 위해서 간단한 비틀림실험과 비교할 것이다. 또 한 2차원문제에 대해서 입체요소를 이용한 결과와 비교하고, 원통형 스프링모델의 해 석결과를 Nagaya의 해석결과와 비교함으로써 실제 스프링해석에 효과적으로 적용될 수 있음을 보일 것이다.

회전 핀의 종동 하중에 따른 박판 스프링의 대변형에 대한 연구 (A Study on the Large Deflection of Flat Spring Subjected to Follower Load by a Rotating Pin)

  • 정일섭
    • 대한기계학회논문집A
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    • 제28권9호
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    • pp.1352-1358
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    • 2004
  • The mechanical spring is one of widely used machine elements. Among various kinds, flat-type spring loaded by a rotating pin was studied. A flat spring was simplified to a cantilever beam, and numerical analysis was attempted. Since the loading pin rotates about a separate axis from the fixed spring or vice versa, the location, direction, and magnitude of the contact force including normal contact and friction loads vary accordingly. Meanwhile, the spring is deformed substantially as the relative motion progresses. Therefore, this problem needs to be formulated taking the follower loading characteristics and geometrical non-linearity into account. Derived nonlinear differential equation was solved to yield the spring deflection, contact force and the torque to rotate the pin, and the result was compared with a finite element solution. Also, the influences of principal design parameters were studied. The proposed methodology is expected to be useful for the design of pin-loaded flat spring and the prevention of mechanical failures in the form of yielding or fatigue failure of spring or severe wear of the components.

Effect of dynamic absorber on the nonlinear vibration of SFG cylindrical shell

  • Foroutan, Kamran;Ahmadi, Habib
    • Advances in aircraft and spacecraft science
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    • 제7권4호
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    • pp.291-308
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    • 2020
  • In this paper, a numerical method is utilized to study the effect of a new vibration absorber on vibration response of the stiffened functionally graded (SFG) cylindrical shell under a couple of axial and transverse compressions. The material composition of the stiffeners and shell is continuously changed through the thickness. The vibration absorber consists of a mass-spring-damper system which is connected to the ground utilizing a linear local damper. To simplify, the spring element of the vibration absorber is called global potential. The von Kármán strain-displacement kinematic nonlinearity is employed in the constitutive laws of the shell and stiffeners. To consider the stiffeners in the model, the smeared stiffener technique is used. After obtaining the governing equations, the Galerkin method is applied to discretize the nonlinear dynamic equation of system. In order to find the nonlinear vibration responses, the fourth order Runge-Kutta method is utilized. The influence of the stiffeners, the dynamic absorber parameters on the vibration behavior of the SFG cylindrical shell is investigated. Also, the influences of material parameters of the system on the vibration response are examined.