为研究竖向地震作用下大跨径碳素纤维复合材料(CFRP)悬索的水平张力增量随跨径和垂跨比的变化,基于线性自由振动理论推导了悬索强迫振动方程,进一步得到了用于近似求解张力增量的振动参数αn,采用极限设计原则计算两种桥型的CFRP悬索静力参数,通过αn研究水平张力增量的变化。研究表明:CFRP悬索跨径变化对αn几乎不影响,而垂跨比对αn影响非常大。当不考虑背索时,二阶振型所产生的张力增量为悬索张力增量的主要贡献; 当考虑背索时,主要由一、二阶振型控制悬索张力增量的变化。
Abstract
In order to study the variation of the horizontal additional tension of the large-span CFRP cable under the vertical seismic action with the change of the span and sag-span ratio, aforced vibration equation for a suspended cable is derived based on the linear free vibration theory. Further more, a vibration mode parameter αn is obtained for the approximate analysis of the additional tension. The calculation of the parameter αn which is used to research the variation of the horizontal additional tension is based on the static parameter, calculated by limit design principle, of the CFRP suspended cable for two kinds of suspension bridge. The result demonstrateed that the change of the span of CFRP cable had hardly influence on the parameter αn and a small change of the sag-span ratio obviously affects αn, The second vibration mode was the main mode contributing to additional tension of suspended cable for the situation without the backstay. In addition, with the increase of the sag, the third mode should be considered also for its contribution to the additional tension. When the suspended cable had the backstay, the first two modes contributed the majority of the additional tension. However the contributions were affected by the sag ratios.
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基金
收稿日期:2013-12-27 修回日期:2014-06-04
基金项目:江苏省普通高校研究生科研创新计划项目(KYLX_0877); 江苏高校优势学科建设工程资助项目(PAPD)
第一作者:郭潇艺,硕士生。*通信作者:王立彬,教授。E-mail: jhwlb@163.com。
引文格式:郭潇艺,王立彬,金泊含. 竖向地震下大跨径CFRP悬索水平张力增量研究[J]. 南京林业大学学报:自然科学版,2015,39(1):125-129.
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