The Non-Linear Dynamic Stability Analysis Of High Pier Under The Transverse Impact

With the development of the transportation, people’s demand for making thebridge which plays an important role in the road and rail transport has become higher.The high pier, as the underpart load-carrying structure of the bridge, plays animportant role in the security and stability of the whole bridge. As the high piermainly supporting the axial load and being great flexibility, the stability problem isthe important problem of the high pier. The pier in water, in addition affected by selfweight, the vehicles on the bridge, the role of the earthquake, but also by the impactof waters, sediments and various drifters. So the research of the dynamic characterityand the dynamic stability of the high pier is of great importance when under thetransverse impact load.In the paper, including geometric nonlinearity and constitutive nonlinearity, thebasic nonlinear dynamic equations are established. Then the time-dependent equationsof the high pier under the transverse impact are founded by using the Galerkin methodwhen deflection shape functions assumption applied. To make a stability assessmentof the high pie by using the B-R criterion. By processing numerical calculation, thedisplacement response curves of the high pier are gained. The theory is offered for theengineering application. The following contents are mainly discussed in this paper.(1) The research status and theory of the buckling of the high pier is introducedfirstly. According to the characteristic supporting pressure of the high pier, themechanical model are simplificated and the basic equations of the nonlinear dynamicbuckling of the high pier are established. The Runge-Kutta method is utilized in thecomputational process. The program design and the basic theory of the Galerkinmethod are introduced in details in this paper.(2) Under the triangle-shape or rectangle-shape transverse impact load, thegeometric nonlinearity dynamic buckling of the concrete high pier are investigatedrespectively. The deflection curves of the pier under transverse impact load arepresented. The dynamic buckling routes are depicted. The influence of the differentmass, flexibility coefficient, impact load and impact area on the dynamic buckling ofthe pier are discussed.(3) Under the triangle-shape or rectangle-shape transverse impact load, thestability problem of the concrete high pier is solved, considering the bilinearityconstitutive model and geometric nonlinearity. The displacement response curves ofhigh pier under the transverse impact load are presented. The influence of the elastic-plastic deformation on stability of the high pier is analysed.