基于重力刚度法的大跨度悬索桥结构静力特性理论分析

发布时间：2018-06-06 09:36

本文选题：大跨度悬索桥 + 重力刚度　；参考：《南京林业大学》2015年硕士论文

【摘要】：大跨度悬索桥的研究主要依赖有限元方法,依据传统理论进行的理论分析由于其复杂性鲜有出现。因此,本文对大跨度悬索桥进行静力性能的理论分析,减少对有限元方法的依赖,更透彻的理解大跨度悬索桥的静力学特点。本文基于重力刚度法研究大跨度悬索桥的静力性能。首先,针对大跨度单跨悬索桥。本文推导了大跨度单跨悬索桥的静力控制方程,并对方程解的特性进行了分析研究。以此为基础,为了进一步加强单跨悬索桥的跨越能力,引入CFRP材料,分析了CFRP材料作为悬索桥主缆的可行性与优势,并将CFRP主缆悬索桥的静力性能与传统钢主缆悬索桥进行对比分析。同时,综合分析了跨径和矢跨比对单跨悬索桥静力性能的影响。研究表明跨径和矢跨比是影响大跨度悬索桥静力性能的主要设计参数。传统钢主缆超大跨度悬索桥,主缆材料利用率极低,劣势明显。而CFRP主缆超大跨度悬索桥静力性能表现良好,优势明显。故本文认为CFRP会成为未来大跨度单跨悬索桥的主流主缆材料。其次,针对多塔多跨悬索桥。本文推导了多塔多跨悬索桥静力基本方程。在此基础上,以三塔四跨悬索桥为例,推导了三塔四跨悬索桥无量纲挠度计算公式。同时为了提高了无量纲挠度计算公式的计算精度,对计算公式中包含的重要参数α进行了修正。以无量纲挠度计算公式为基础,分析讨论了桥梁各类基本参数对多塔多跨悬索桥静力性能的影响。研究表明钢主缆依然可以在多塔多跨悬索桥领域被使用。多塔多跨悬索桥由于跨数的增加,全桥的挠度也有明显的增加。因此说明与单跨悬索桥不同,多塔多跨悬索桥仅依靠主缆的重力刚度并不能满足静力性能要求,桥塔特别是中塔对多塔多跨悬索桥的静力性能极其重要。最后本文提出了悬索桥静力性能分析的“归一化法”,进一步简化了悬索桥静力性能的分析。通过“归一化法”,多塔多跨悬索桥的静力性能分析可以简化为一个单跨悬索桥静力性能的分析。同时,“归一化法”也能更简单直观的展现悬索桥各构件对全桥静力性能的作用和影响。
[Abstract]:The research of long-span suspension bridge mainly depends on finite element method. The theoretical analysis based on traditional theory is rare because of its complexity. Therefore, in this paper, the static behavior of long-span suspension bridge is analyzed theoretically to reduce the dependence on finite element method, and to understand the static characteristics of long-span suspension bridge more thoroughly. The static behavior of long span suspension bridge is studied based on gravity stiffness method. First of all, for long span single-span suspension bridge. In this paper, the static control equation of long span single span suspension bridge is derived, and the characteristics of its solution are analyzed. On this basis, in order to further strengthen the span ability of single-span suspension bridge, CFRP material is introduced, and the feasibility and advantage of CFRP material as the main cable of suspension bridge are analyzed. The static performance of CFRP main cable suspension bridge is compared with that of traditional steel cable suspension bridge. At the same time, the influence of span and sagittal ratio on the static performance of single span suspension bridge is comprehensively analyzed. The results show that span and rise-span ratio are the main design parameters which affect the static performance of long-span suspension bridge. The material utilization ratio of the main cable is very low and the disadvantage is obvious in the traditional steel main cable super span suspension bridge. And the CFRP main cable super-span suspension bridge has good static performance and obvious advantages. Therefore, CFRP will become the main cable material of long span single span suspension bridge in the future. Secondly, the multi-tower and multi-span suspension bridge. In this paper, the basic static equation of multi-tower and multi-span suspension bridge is derived. On this basis, taking the three-tower and four-span suspension bridge as an example, the dimensionless deflection calculation formula of the three-tower four-span suspension bridge is derived. At the same time, in order to improve the accuracy of the dimensionless deflection calculation formula, the important parameter 伪 contained in the formula is modified. Based on the dimensionless deflection calculation formula, the influence of various basic parameters of bridge on the static performance of multi-tower and multi-span suspension bridge is analyzed and discussed. The research shows that the steel main cable can still be used in the field of multi-tower multi-span suspension bridge. Because of the increase of span, the deflection of multi-tower and multi-span suspension bridge is obviously increased. Therefore, different from single-span suspension bridge, multi-tower and multi-span suspension bridge can not meet the static performance requirements only by relying on the gravity stiffness of the main cable, and the tower, especially the middle tower, is extremely important to the static performance of the multi-tower and multi-span suspension bridge. Finally, a normalized method for static performance analysis of suspension bridges is proposed, which further simplifies the static performance analysis of suspension bridges. Through "normalization method", the static performance analysis of multi-tower and multi-span suspension bridge can be simplified as that of a single span suspension bridge. At the same time, the normalized method can also show the effect and influence of each component of suspension bridge on the static performance of the whole bridge more simply and intuitively.
【学位授予单位】：南京林业大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U441;U448.25

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