CAJ | 학술논문

该文研究了竖向地震作用下桥梁结构的碰撞响应问题。考虑多次碰撞和多次分离过程以及桥梁支座的影响，针对多跨连续桥梁建立动态子结构模型，导出了模态坐标表示的碰撞动力学方程，并将动态子结构方法应用于竖向地震作用下桥梁结构的碰撞响应问题。采用Newmark隐式积分法对动力学控制方程进行数值求解，研究了竖向地震作用下桥梁与桥墩的碰撞动力学响应。数值收敛性结果和理论解的对比分析表明，该动态子结构方法具有良好的数值收敛性和较高的计算精度，可有效地分析竖向地震作用下桥梁的碰撞响应。
해문연구료수향지진작용하교량결구적팽당향응문제。고필다차팽당화다차분리과정이급교량지좌적영향，침대다과련속교량건립동태자결구모형，도출료모태좌표표시적팽당동역학방정，병장동태자결구방법응용우수향지진작용하교량결구적팽당향응문제。채용Newmark은식적분법대동역학공제방정진행수치구해，연구료수향지진작용하교량여교돈적팽당동역학향응。수치수렴성결과화이론해적대비분석표명，해동태자결구방법구유량호적수치수렴성화교고적계산정도，가유효지분석수향지진작용하교량적팽당향응。
To study the pounding dynamic responses of bridges under vertical earthquakes,a dynamic substructure method is presented here. Considering the multiple impact process and the multiple separation process and the effect of the bridge bearing,the dynamic substructure models of bridges are built and the pounding dynamic governing equations are derived in the modal coordinate system. The Newmark implicit integration method is applied to solve the dynamic governing equations numerically. The pounding dynamic process of the deck against the pier under vertical earthquakes and the pounding force and impulse are simulated. The numerical convergence results and their comparison with the theoretical solution show that the present dynamic substructure method is convergent in numerical calculation and has high numerical precision, and it is suitable for the numerical simulations of pounding responses of bridges under vertical earthquakes.