基于改进相似权可拓理论的大跨径公路桥梁抗风稳定性评价

Evaluation of Wind-Resistant Stability of Large Span Highway Bridge Based on Improved Similarity and Extension Theory

为准确评估大跨径公路桥梁的抗风稳定性能,提出了基于改进相似权可拓理论的方法,并依据《公路桥梁抗风设计规范》选取主梁截面宽度、密度比、扭弯频率比、竖弯基频、攻角系数、基本风速等12项指标作为评价大跨径桥梁抗风性能的评判因子。首先运用可拓学的理论知识,引入经典域、节域、待评物元的概念,并通过物元变换构建大跨度桥梁抗风稳定性能评价的物元体系,计算评价指标对其稳定性等级的关联系数。然后利用改进相似权法确定物元指标体系的权重系数,建立相似权物元可拓评价模型,对大跨度桥梁抗风稳定性能的等级进行量化评价。最后,以某公路大跨径悬索桥为实例进行抗风稳定性能的综合评判,验证了该模型的实用性和可靠性。

In order to accurately evaluate the fighting-wind stability of large span highway bridges,a method based on improved similarity extension theory is proposed.According to the standard for wind-resistant design of highway bridge Bridge,Width of main beam cross section,Density ratio,Bending frequency,angle of attack,basic wind speed and other 12 indicators as long-span bridge wind-resistant evaluation factors.First of all,by the theory of extension theory,by the introduction of the classic domain,section domain and the concept of meta-material,and through the Matter-element transformation we build large span bridge wind-resistant stability evaluation of the material element system and calculate the stability of the evaluation indicators Rank correlation coefficient.Then,we use the improved similarity right method to determine the weight coefficient of the matter-element index system,and establish the similarity element-element extension evaluation model to evaluate the wind-stabilizing performance of long-span bridge.Finally,a comprehensive evaluation of the wind stability performance of a large span suspension bridge is carried out,and the practicability and reliability of the model are verified.