本文選題：斜拉索 + 參數(shù)振動(dòng)��； 參考：《長(zhǎng)沙理工大學(xué)》2014年碩士論文

【摘要】：斜拉索是一種很柔性的結(jié)構(gòu)構(gòu)件,通常具有阻尼系數(shù)較小的特性,且要承受多種動(dòng)荷載作用,如：交通、風(fēng)、行人和地震作用,在這些外界因素影響下斜拉橋構(gòu)件極易受到振動(dòng),在實(shí)際中由于拉索振動(dòng)所造成的工程事故也是屢見(jiàn)不鮮。2012年11月,重慶涪豐石高速烏江特大橋拉索發(fā)生了大幅索-橋耦合振動(dòng),為了驗(yàn)證分析是否可能為參數(shù)振動(dòng),以及本橋拉索的主要振動(dòng)情況,為拉索的振動(dòng)控制提供理論依據(jù),因此需要對(duì)拉索的參數(shù)振動(dòng)進(jìn)行研究分析。本文的研究主要包括以下幾點(diǎn)：本文對(duì)國(guó)內(nèi)外關(guān)于斜拉索振動(dòng)的報(bào)道以及研究現(xiàn)狀作了詳細(xì)的闡述。介紹了斜拉索常用的幾種非線性曲線方程：彈性懸鏈線方程、考慮弦向重力分量的拋物線方程、不考慮弦向重力分量的拋物線方程。對(duì)拉索進(jìn)行理想假定,建立了斜拉索非線性固有振動(dòng)模型、斜拉索軸向激勵(lì)下的面內(nèi)參數(shù)振動(dòng)模型、斜拉索索-橋耦合作用下的面內(nèi)參數(shù)振動(dòng)模型,運(yùn)用哈密頓原理得到了相應(yīng)的非線性振動(dòng)方程,第一種模型的方程采用L-P法進(jìn)行求解,后兩種模型得到的方程采用多尺度法求解。以重慶涪豐石高速烏江特大橋?yàn)楣こ瘫尘?對(duì)斜拉索的參數(shù)振動(dòng)非線性方程運(yùn)用龍格一庫(kù)塔法進(jìn)行數(shù)值分析,研究其振動(dòng)特性,影響因素。運(yùn)用midas建立了重慶涪豐石高速烏江特大橋的成橋動(dòng)力模型,得到了前30階的振動(dòng)頻率以及振動(dòng)模態(tài),結(jié)合所求固有頻率對(duì)斜拉索的振動(dòng)情況進(jìn)行分析,得出該橋拉索以主共振為主,只有FDB19發(fā)生參數(shù)共振可能性較大。結(jié)合FDB19對(duì)斜拉索的索-橋耦合參數(shù)共振進(jìn)行了參數(shù)分析,研究了頻率比、橋面初始激勵(lì)、拉索阻尼比、橋面阻尼比、索力對(duì)斜拉索參數(shù)振動(dòng)的影響。
[Abstract]:Cable-stayed cables are very flexible structural components, usually characterized by small damping coefficients and subjected to a variety of dynamic loads, such as traffic, wind, pedestrians and earthquakes. Under the influence of these external factors, cable-stayed bridge members are vulnerable to vibration, and engineering accidents caused by cable vibration are common in practice. In order to verify whether the cable vibration is possible and the main vibration of the cable in this bridge, it provides the theoretical basis for the vibration control of the cable, in order to verify and analyze whether the cable vibration is possible and the main vibration situation of the cable in the Wujiang super bridge of Fufeng Shi high speed in Chongqing, which has occurred a large scale of cable-bridge coupling vibration. Therefore, it is necessary to study and analyze the vibration of cable parameters. The research in this paper mainly includes the following points: this paper gives a detailed account of the domestic and foreign reports on cable vibration and the present research situation. This paper introduces several kinds of nonlinear curve equations commonly used in cable-stayed cables: elastic catenary equation parabola equation with chord gravity component and parabola equation without chord gravity component. Based on the ideal assumption of the cable, the nonlinear natural vibration model of the stay cable, the in-plane parameter vibration model under the axial excitation of the stay cable, the in-plane parameter vibration model under the coupling action of the cable and the bridge are established. The corresponding nonlinear vibration equations are obtained by using Hamiltonian principle. The first one is solved by L-P method, and the latter two by multi-scale method. Based on the engineering background of Chongqing Fufengshi High Speed Wujiang Bridge, the nonlinear equations of parametric vibration of stay cables are numerically analyzed by using Longge-Kutta method. The vibration characteristics and influencing factors are studied. By using midas, the dynamic model of the bridge of Fufengshi high speed Wujiang super bridge in Chongqing is established, and the vibration frequency and vibration mode of the first 30 steps are obtained. The vibration of the stay cable is analyzed with the calculated natural frequency. It is concluded that the main resonance is the main cable and only FDB19 has the possibility of parametric resonance. The effects of frequency ratio, initial excitation of bridge deck, cable damping ratio, deck damping ratio and cable force on the parametric vibration of cable-stayed cables are studied.
【學(xué)位授予單位】：長(zhǎng)沙理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：U441.3;U448.27
，

本文編號(hào)：1931276