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基于MATLAB的車(chē)橋耦合動(dòng)力學(xué)分析

發(fā)布時(shí)間:2018-11-25 08:37
【摘要】:在高速鐵路的高速迅猛發(fā)展的當(dāng)今社會(huì),工程上對(duì)速度、安全和乘客舒適性上的要求越來(lái)越高?紤]列車(chē)運(yùn)行的安全性,需要控制基礎(chǔ)沉降,憑借著自身基礎(chǔ)沉降量小的優(yōu)勢(shì),橋梁建設(shè)中80%以上為簡(jiǎn)支梁橋。在高速鐵路橋梁設(shè)計(jì)中,高速列車(chē)對(duì)橋梁的動(dòng)力響應(yīng)與在普通列車(chē)作用下有所不同,這使得高速列車(chē)通過(guò)的橋梁設(shè)計(jì)與普通列車(chē)通過(guò)的橋梁不相同,所以研究高速列車(chē)對(duì)橋梁的動(dòng)力作用對(duì)橋梁設(shè)計(jì)工作具有實(shí)際的指導(dǎo)意義。本文主要研究?jī)?nèi)容如下:1、首先進(jìn)行了單軸彈簧質(zhì)量系統(tǒng)模型的運(yùn)動(dòng)平衡方程的推導(dǎo),然后對(duì)方程采用Newmark法進(jìn)行分離迭代求解,接著編制了車(chē)橋耦合分析程序。2、采用10自由度的兩系懸掛垂向車(chē)輛模型,用推導(dǎo)了兩對(duì)以及n對(duì)輪作用下車(chē)橋耦合振動(dòng)模型的控制方程,編寫(xiě)出了車(chē)橋耦合振動(dòng)模型控制方程的MATLAB迭代求解程序。分析了不同列車(chē)速度及不同軌道不平順條件下系統(tǒng)的隨機(jī)振動(dòng)特性,并得出不平順干擾譜越高,調(diào)制函數(shù)系數(shù)越大,系統(tǒng)響應(yīng)越大的結(jié)論。3、首先討論了在諧和激勵(lì)作用下,單自由度振動(dòng)系統(tǒng)的TMD優(yōu)化參數(shù)的設(shè)計(jì)。接著建立了在采用列車(chē)荷載對(duì)主橋結(jié)構(gòu)的作用作為隨機(jī)激勵(lì)的情況下,MTMD和結(jié)構(gòu)振動(dòng)控制振型坐標(biāo)構(gòu)成的新系統(tǒng)動(dòng)力平衡方程。選取實(shí)際橋梁,設(shè)計(jì)了MTMD,進(jìn)而分析了MTMD控制下車(chē)輛橋梁系統(tǒng)的動(dòng)力響應(yīng)。
[Abstract]:With the rapid development of high-speed railway, the engineering demands on speed, safety and passenger comfort are becoming higher and higher. Considering the safety of train operation, it is necessary to control the foundation settlement. With the advantage of small settlement of its own foundation, more than 80% of the bridge construction is simply supported beam bridge. In the design of high-speed railway bridge, the dynamic response of high-speed train to bridge is different from that of ordinary train, which makes the bridge design of high-speed train different from that of ordinary train. Therefore, studying the dynamic effect of high-speed train on bridge has practical guiding significance for bridge design. The main contents of this paper are as follows: 1. First, the equation of motion balance of the mass system model of single axis spring is derived, then the equation is solved by Newmark method, and then the vehicle-bridge coupling analysis program is compiled. In this paper, a two-system suspension vertical vehicle model with 10 degrees of freedom is used. The governing equations of the vehicle-bridge coupling vibration model under the action of two pairs and n pairs of wheels are derived, and the MATLAB iterative solution program for the control equation of the vehicle-bridge coupled vibration model is developed. The random vibration characteristics of the system under different train velocities and different track irregularity are analyzed. It is concluded that the higher the irregularity interference spectrum is, the larger the modulation function coefficient is, and the greater the system response is. 3. Firstly, the harmonic excitation is discussed. The design of TMD optimization parameters for single degree of freedom vibration system. Then, a new system dynamic equilibrium equation is established, in which the action of train load on the structure of the main bridge is used as random excitation, and a new system dynamic equilibrium equation is established, which is composed of MTMD and the vibration control mode coordinates of the structure. MTMD, is designed to analyze the dynamic response of vehicle bridge system under the control of MTMD.
【學(xué)位授予單位】:華中科技大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類(lèi)號(hào)】:U441.3;U270.11

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