大跨斜拉桥Rayleigh阻尼系数约束优化解

潘旦光;靳国豪;高莉莉

振动与冲击 ›› 2014, Vol. 33 ›› Issue (16) : 34-41.

PDF(1936 KB)
PDF(1936 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (16) : 34-41.
论文

大跨斜拉桥Rayleigh阻尼系数约束优化解

  • 潘旦光 ,靳国豪 ,高莉莉
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Constraint optimal solution of Rayleigh damping coefficients for long-span cable-stayed bridges

  • PAN Dan-guang,JIN Guo-hao,GAO Li-li
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摘要

进行大跨桥梁地震反应分析时以结构位移反应峰值误差为目标函数,建立求解Rayleigh阻尼系数的优化分析方法。考虑基频模态为结构动力反应的最显著贡献模态,以基频模态阻尼比等于精确值为约束条件,形成求解Rayleigh阻尼系数的约束优化方程;以840 m长斜拉桥为例分析Rayleigh阻尼系数随优化计算模态数及参考自由度变化规律。与传统Rayleigh阻尼比较,讨论不同阻尼模型对结构位移、内力计算误差。数值计算结果表明,该方法可有效降低位移、内力计算误差,避免人为选择参考频率所致任意性,适合工程结构计算与分析。

Abstract

In the seismic response analysis of long span bridges, an optimal analysis method is proposed to solve Rayleigh damping coefficients. In the method, the optimization objective function is errors of structural displacement peaks. Meanwhile, considering that the fundamental-mode contribution is usually significantly larger than others, the modal damping ratio of fundamental frequency is equal to the exact value as constraint condition. Therefore, a constraint optimization equation is developed for solving Rayleigh damping coefficients. Then, the effects of both and optimal calculation modal numbers and reference degrees of freedom on the evaluation of Rayleigh damping coefficients were investigated with an 840m-long cable-stayed bridge. Comparing with the traditional Rayleigh damping, the errors of structural displacements and internal forces under four earthquake excitations were discussed. The numerical results show that the proposed method can reduce the calculation errors of displacements and internal forces effectively, and avoid artificial selection of two reference frequencies, which is suitable for calculation and analysis of engineering structures.

关键词

大跨桥梁 / 地震反应 / Rayleigh阻尼 / 约束优化分析

Key words

long-span bridges / seismic response analysis / Rayleigh damping / constraint optimal analysis

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导出引用
潘旦光;靳国豪;高莉莉. 大跨斜拉桥Rayleigh阻尼系数约束优化解[J]. 振动与冲击, 2014, 33(16): 34-41
PAN Dan-guang;JIN Guo-hao;GAO Li-li. Constraint optimal solution of Rayleigh damping coefficients for long-span cable-stayed bridges[J]. Journal of Vibration and Shock, 2014, 33(16): 34-41

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