十大菠菜网正规平台孙广俊副教授在SCI期刊《International Journal of Structural Stability and Dynamics》发表题为“Out-of-Plane Free Vibration Analysis of Continuous Curved Girders with Combined Linetypes Using Differential Quadrature Element Method”的研究论文。该论文的第一作者和通讯作者为孙广俊，共同作者还有团队的李鸿晶教授和已毕业的硕士研究生王通和徐强。

该文给出了圆形曲线梁和回旋缓和曲线梁的平面外固有振动方程。基于微分求积法（Differential Quadrature Method, DQM），采用Chebyshev-Gauss-Labatto不等分网点划分对不同线型曲线梁单元的振动方程、组合线型连续曲线梁的边界条件和不同线型曲线梁单元间的变形协调条件与力的平衡条件进行了离散，通过替换法边界处理，建立了组合线型连续曲线梁的平面外固有频率方程。论文采用的微分求积单元法可以方便、高效的求解组合线型连续曲线梁的固有动力特性，该方法可以推广用于求解各种不同线型组合的多跨连续曲线梁振动特性，为认识该类型曲线梁桥抗震性能提供基础。

Out-of-Plane Free Vibration Analysis of Continuous Curved Girders with Combined Linetypes Using Differential Quadrature Element Method

Guangjun Sun*, Hongjing Li, Tong Wang, Qiang Xu

Abstract：

Taking the two-span continuous curved girder composed of cyclotron transition curve and circular curve as the research object, the out-of-plane natural vibration equations of circular curved girder and cyclotron transition curved girder are given respectively. Based on the idea of finite element method, the combined linetype continuous curved girder is discretized into two independent single-span curved girder elements with different curve types. Based on the DQM (Differential Quadrature Method), the vibration equations of different linetype curved girder elements, the boundary conditions of combined linetype continuous curved girder and the deformation coordination conditions and force equilibrium conditions between different linetype curved girder elements are discretized by unequal mesh division. Through the boundary treatment of replacement method, the out-of-plane natural frequency equation of combined linetype continuous curved girder is established. On this basis, the natural frequency of the cyclotron transition curve-circular curve combined continuous curved girder is solved by MATLAB programming. The high efficiency of the DQME (Differential Quadrature Element Method) is verified and the influence of grid point quantity on the solving precision is discussed. In addition, the effects of bending-torsional stiffness ratio, warping coefficient and boundary constraint condition on the vibration frequency of the combined linetype continuous curved girder are studied. The research results show that the DQME can be used to solve the dynamic characteristics of combined linetype continuous curved girder conveniently and efficiently. The method in this paper can be extended to solve the vibration characteristics of multi-span continuous curved girder with different linetype combinations. It provides a basis for understanding the seismic performance of this type of curved girder bridge. The frequency of the combined linetype continuous curved girder decreases with the weakening of the boundary constraint conditions, and increases with the increase of the warping coefficient and the bending-torsional stiffness ratio.

文章在线网址：https://doi.org/10.1142/S0219455422500602

作者：十大菠菜网正规平台  审核：方海