基于ANSYS的桥梁颤振时域分析及程序实现  

Time domain analysis of bridge flutter and programming based on ANSYS

作　　者：刘修平 刘焕举 赵越 李光玲[3] LIU Xiuping;LIU Huanju;ZHAO Yue;LI Guangling(School of Civil Engineering,Tianshui Normal College,Tianshui 741000,China;School of Civil Engineering,Hebei University of Engineering,Handan 056038,China;College of Highway,Chang’an University,Xi’an 710064,China)

机构地区：[1]天水师范学院土木工程学院,甘肃天水741000 [2]河北工程大学土木工程学院,河北邯郸056038 [3]长安大学公路学院,西安710064

出　　处：《振动与冲击》2022年第13期252-258,293,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金青年基金项目(51908178);甘肃省教育厅创新基金资助项目(2021B-216);天水师范学院科研项目(CXJ2020-03,CYZ2020-02)。

摘　　要：为避免MATRIX27矩阵单元输入振动频率的误差干扰,同时简化计算时步内的自激力反复迭代确定的重复过程,以自激力脉冲响应函数表达式为基础,对比研究不同优化算法在颤振导数拟合过程中的效果,推导自激力有理函数表达式中非线性项的计算迭代形式,提出了一种基于MATRIX27矩阵单元的桥梁颤振时域分析模型和求解方法,采用MATLAB和ANSYS混合编程技术实现桥梁颤振临界状态的程序求解,通过具有理想平板的简支梁模型和某大跨桥梁风致颤振分析验证所提方法。结果表明:所提桥梁颤振时域分析方法的计算值与理论值吻合很好,误差不足1%,计算结果对时间步长的选取不具备依赖性,可为需借助ANSYS进行复杂非线性颤振问题的求解提供参考。Here,to avoid error interference of input vibration frequency of MATRIX27 matrix element,and simplify the repeated process for iteration and determination of self-excited force within calculation time step,based on the expression of self-excited force impulse response function,effects of different optimization algorithms in fitting process of flutter derivative were contrastively studied to deduce calculation iterative form of nonlinear term in self-excited force rational function expression,a time domain analysis model of bridge flutter based on MATRIX27 matrix element and its solving method were proposed.MATLAB and ANSYS hybrid programming techniques were adopted to realize program solving for bridge flutter critical state.The proposed method was verified with a simply supported beam model with an ideal flat plate and wind-induced flutter analysis of a certain long-span bridge.The results showed that the calculated results obtained using the proposed bridge flutter time domain analysis method agree better with the theoretical values,their error is less than 1%;the calculation results don’t depend on selection of time step;the study results can provide a reference for solving complex nonlinear flutter problems by means of ANSYS.

关 键 词：桥梁结构 颤振时域分析 混合编程 优化算法 

分 类 号：U441.3[建筑科学—桥梁与隧道工程]