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웬판반 ( Nguyen Van Ban ),김정훈 ( Kim Jong Hun ),강영종 ( Kang Young Jong ) 한국구조물진단유지관리공학회 2010 한국구조물진단유지관리공학회 학술발표대회 논문집 Vol.14 No.1
The evolution of dynamic interaction of coupled Vehicle-Bridge systems is investigated in this paper. The nonlinear dynamic Vehicle-Bridge interactive response with the coupled system equations of motion including nonlinear Hertzian contact is presented. Base on the relationship of wheel displacement of the vehicle and the vertical displacement of the bridge in nonlinear Hertzian contact, the coupled equations of motion of the whole system is derived. The convenient formulation is encoded into a computer program. Newmark-beta time integration is used in combined with modified Newton-Raphson iteration to solve the coupled equations of motion. The accuracy and efficiency of the proposed program were verified and compared with other previous studies. The proposed program was proven to be a reliable and efficient tool for engineering design practices.
강영종(Young-Jong Kang),웬판반(Van-Ban Nguyen),김정훈(Jung-Hun Kim),강윤석(Yoon-Suk Kang) 한국철도학회 2010 한국철도학회 학술발표대회논문집 Vol.2010 No.7
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.