基于ANSYS的桥梁颤振时域分析及程序实现

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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。
关键词：桥梁结构；颤振时域分析；混合编程；优化算法

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	刘修平1
	刘焕举2
	赵越3
	李光玲3

关键词 ：桥梁结构, 颤振时域分析, 混合编程, 优化算法

Abstract：In order to avoid the error interference of inputting vibration frequency of matrix element MATRIX27 and simplify the repeated process of iterative determination of self-excited force in calculation, based on the impulse response function expression of self-excited force, the effects of different optimization algorithms in the aerodynamic derivative fitting were compared and studied. The iterative form for calculating the nonlinear term in the rational function expression of self-excited force was derived, and a method for modeling and solving time-domain flutter analysis of bridge based on MATRIX27 matrix element was proposed. The mixed programming technology of MATLAB and ANSYS was utilized to identify the flutter critical state of bridge. Wind-induced flutter analysis of simply supported beam bridge with ideal plate section and a long-span bridge was provided to verify the proposed method. The results show that the calculated responses of the proposed method are in good agreement with the theoretical ones, with the relative error no more than 1%. The calculations, meanwhile, don’t rely on the selection of time step. The proposed method can provide reference for solving complex nonlinear flutter problems with ANSYS.
Key words: bridge structure; time-domain flutter analysis; mixed programming; optimization algorithms

Key words： bridge structure time-domain flutter analysis mixed programming optimization algorithms

收稿日期: 2021-03-11 出版日期: 2022-07-15

引用本文:

刘修平1，刘焕举2，赵越3，李光玲3. 基于ANSYS的桥梁颤振时域分析及程序实现[J]. 振动与冲击, 2022, 41(13): 252-258.
LIU Xiuping1, LIU Huanju2, ZHAO Yue3, LI Guangling3. Time domain analysis of bridge flutter and programming based on ANSYS. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(13): 252-258.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I13/252

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