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基于重力剛度法的大跨度懸索橋結(jié)構(gòu)靜力特性理論分析

發(fā)布時(shí)間:2018-06-06 09:36

  本文選題:大跨度懸索橋 + 重力剛度 ; 參考:《南京林業(yè)大學(xué)》2015年碩士論文


【摘要】:大跨度懸索橋的研究主要依賴(lài)有限元方法,依據(jù)傳統(tǒng)理論進(jìn)行的理論分析由于其復(fù)雜性鮮有出現(xiàn)。因此,本文對(duì)大跨度懸索橋進(jìn)行靜力性能的理論分析,減少對(duì)有限元方法的依賴(lài),更透徹的理解大跨度懸索橋的靜力學(xué)特點(diǎn)。本文基于重力剛度法研究大跨度懸索橋的靜力性能。首先,針對(duì)大跨度單跨懸索橋。本文推導(dǎo)了大跨度單跨懸索橋的靜力控制方程,并對(duì)方程解的特性進(jìn)行了分析研究。以此為基礎(chǔ),為了進(jìn)一步加強(qiáng)單跨懸索橋的跨越能力,引入CFRP材料,分析了CFRP材料作為懸索橋主纜的可行性與優(yōu)勢(shì),并將CFRP主纜懸索橋的靜力性能與傳統(tǒng)鋼主纜懸索橋進(jìn)行對(duì)比分析。同時(shí),綜合分析了跨徑和矢跨比對(duì)單跨懸索橋靜力性能的影響。研究表明跨徑和矢跨比是影響大跨度懸索橋靜力性能的主要設(shè)計(jì)參數(shù)。傳統(tǒng)鋼主纜超大跨度懸索橋,主纜材料利用率極低,劣勢(shì)明顯。而CFRP主纜超大跨度懸索橋靜力性能表現(xiàn)良好,優(yōu)勢(shì)明顯。故本文認(rèn)為CFRP會(huì)成為未來(lái)大跨度單跨懸索橋的主流主纜材料。其次,針對(duì)多塔多跨懸索橋。本文推導(dǎo)了多塔多跨懸索橋靜力基本方程。在此基礎(chǔ)上,以三塔四跨懸索橋?yàn)槔?推導(dǎo)了三塔四跨懸索橋無(wú)量綱撓度計(jì)算公式。同時(shí)為了提高了無(wú)量綱撓度計(jì)算公式的計(jì)算精度,對(duì)計(jì)算公式中包含的重要參數(shù)α進(jìn)行了修正。以無(wú)量綱撓度計(jì)算公式為基礎(chǔ),分析討論了橋梁各類(lèi)基本參數(shù)對(duì)多塔多跨懸索橋靜力性能的影響。研究表明鋼主纜依然可以在多塔多跨懸索橋領(lǐng)域被使用。多塔多跨懸索橋由于跨數(shù)的增加,全橋的撓度也有明顯的增加。因此說(shuō)明與單跨懸索橋不同,多塔多跨懸索橋僅依靠主纜的重力剛度并不能滿(mǎn)足靜力性能要求,橋塔特別是中塔對(duì)多塔多跨懸索橋的靜力性能極其重要。最后本文提出了懸索橋靜力性能分析的“歸一化法”,進(jìn)一步簡(jiǎn)化了懸索橋靜力性能的分析。通過(guò)“歸一化法”,多塔多跨懸索橋的靜力性能分析可以簡(jiǎn)化為一個(gè)單跨懸索橋靜力性能的分析。同時(shí),“歸一化法”也能更簡(jiǎn)單直觀的展現(xiàn)懸索橋各構(gòu)件對(duì)全橋靜力性能的作用和影響。
[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 偽 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.
【學(xué)位授予單位】:南京林業(yè)大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類(lèi)號(hào)】:U441;U448.25

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