必贏3003no1線路檢測中心必贏3003no1線路檢測中心孫廣俊副教授在SCI期刊《International Journal of Structural Stability and Dynamics》發(fā)表題為“Out-of-Plane Free Vibration Analysis of Continuous Curved Girders with Combined Linetypes Using Differential Quadrature Element Method”的研究論文。該論文的第一作者和通訊作者為孫廣俊，共同作者還有團隊的李鴻晶教授和已畢業(yè)的碩士研究生王通和徐強。
該文給出了圓形曲線梁和回旋緩和曲線梁的平面外固有振動方程?；谖⒎智蠓e法（Differential Quadrature Method, DQM），采用Chebyshev-Gauss-Labatto不等分網(wǎng)點劃分對不同線型曲線梁單元的振動方程、組合線型連續(xù)曲線梁的邊界條件和不同線型曲線梁單元間的變形協(xié)調(diào)條件與力的平衡條件進行了離散，通過替換法邊界處理，建立了組合線型連續(xù)曲線梁的平面外固有頻率方程。論文采用的微分求積單元法可以方便、高效的求解組合線型連續(xù)曲線梁的固有動力特性，該方法可以推廣用于求解各種不同線型組合的多跨連續(xù)曲線梁振動特性，為認識該類型曲線梁橋抗震性能提供基礎。
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.
文章在線網(wǎng)址：https://doi.org/10.1142/S0219455422500602
作者：必贏3003no1線路檢測中心 審核：方海
