• 제목/요약/키워드: 헤르쯔의 접촉스프링

검색결과 3건 처리시간 0.021초

접촉 강성을 고려헌 차량-레일계의 연성 진동 해석 (A Couple Vibration Analysis of Railway Track System with Consideration of Contact Stiffness)

  • 류윤선;조희복;김사수
    • 소음진동
    • /
    • 제7권6호
    • /
    • pp.953-958
    • /
    • 1997
  • Corrugation of railway track can be caused by the various dynamic behaviors of traveling wheels and track. In this paper, the coupled vibrations of traveling wheel and railway track are analyzed as the cause of corrugations. To analyze the coupled vibration, the track supported by the sleepers and the traveling wheels are identified to the elastically supported infinite beam and the spring-mass system which runs at constant speed. The Hertzian contact spring is considered between the infinite beam and spring-mass system are calculated. The cause and development of rail corrugation are discussed in the view point of contact force fluctuation affected by the elastic supports and the corrugated surface profile on the track. By the obtained results, the possibilities of resonance are checked between the excitation by the corrugated surface profile and the natural frequency of contact spring-mass system. It may be thought to a development of railway corrugation.

  • PDF

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
    • /
    • 한국철도학회 2010년도 춘계학술대회 논문집
    • /
    • pp.1478-1485
    • /
    • 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.

  • PDF

비선형 헤르쯔 접촉스프링과 변위제한조건식의 적용에 의한 차량-궤도-교량 동적상호작용 수치해석기법 (Simulation of Vehicle-Track-Bridge Dynamic Interaction by Nonlinear Hertzian Contact Spring and Displacement Constraint Equations)

  • 정근영;이성욱;민경주
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2005년도 추계학술대회 논문집
    • /
    • pp.191-196
    • /
    • 2005
  • In this study, to describe vehicle-track-bridge dynamic interaction phenomena with 1/4 vehicle model, nonlinear Hertzian contact spring and nonlinear contact damper are introduced. In this approach external loads acting on 1/4 vehicle model are self weight of vehicle and geometry information of running surface. The constraint equation on contact surface is implemented by Penalty method. Also, to improve the numerical stability and to maintain accuracy of solution, the artificial damper and the reaction from constraint violation are introduced. A nonlinear time integration method, in this study, Newmark method is adopted for both equations of vehicles and structure. And to reduce the error caused by inadequate time step size, adaptive time-stepping technique is partially introduced. As the nonlinear Hertzian contact spring has no resistance to tensile force, the bouncing phenomena of wheelset can be described. Thus, it is expected that more versatile dynamic interaction phenomena can be described by this approach and it can be applied to various railway dynamic problems.

  • PDF