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基于分離迭代法的汽車—連續(xù)體系梁橋時(shí)變系統(tǒng)耦合振動(dòng)研究

發(fā)布時(shí)間:2018-07-20 12:42
【摘要】:近年來(lái),隨著交通量的增加、行車速度的提高和車輛重載化趨勢(shì)的增強(qiáng),汽車與橋梁之間的相互耦合作用問(wèn)題日益突出。同時(shí),連續(xù)體系梁橋(包括連續(xù)梁橋和先簡(jiǎn)支后連續(xù)梁橋)在公路橋梁中應(yīng)用廣泛,其車橋耦合動(dòng)力響應(yīng)及影響因素需要深入研究。另外,由于特殊的施工工藝,先簡(jiǎn)支后連續(xù)梁橋的受力和剛度分布在體系轉(zhuǎn)換過(guò)程中不斷變化,其最終成橋狀態(tài)與相應(yīng)的連續(xù)梁橋存在著差異,連續(xù)梁橋和先簡(jiǎn)支后連續(xù)梁橋的車橋耦合動(dòng)力響應(yīng)及其影響因素的對(duì)比分析值得探討。因此,本文根據(jù)分離迭代法的車橋耦合振動(dòng)分析理論,采用ANSYS軟件的APDL語(yǔ)言編制汽車—連續(xù)體系梁橋耦合系統(tǒng)振動(dòng)分析有限元程序,以連續(xù)體系梁橋?yàn)橐劳泄こ?對(duì)比分析了連續(xù)梁橋和先簡(jiǎn)支后連續(xù)梁橋的車橋耦合動(dòng)力響應(yīng)及其影響因素。主要研究?jī)?nèi)容如下:1.建立汽車—連續(xù)體系梁橋耦合系統(tǒng)的動(dòng)力分析模型運(yùn)用ANSYS軟件建立連續(xù)體系梁橋(包括連續(xù)梁橋和先簡(jiǎn)支后連續(xù)梁橋)的動(dòng)力分析模型;將汽車離散為由彈簧和阻尼器連接的多剛體體系,以三軸六輪汽車為例,介紹了建立汽車空間振動(dòng)分析模型所需的主要參數(shù),汽車模型考慮9個(gè)自由度;將橋面不平順視為平穩(wěn)隨機(jī)過(guò)程,在選定其功率譜密度函數(shù)后,采用三角級(jí)數(shù)法通過(guò)MATLAB語(yǔ)言編制程序模擬其樣本值。2.推導(dǎo)汽車—連續(xù)體系梁橋耦合系統(tǒng)的振動(dòng)方程將車輛和橋梁以車輪與橋面接觸處為界分為車輛與橋梁兩個(gè)子系統(tǒng),基于分離迭代法的車橋耦合振動(dòng)理論,通過(guò)車輪與橋面接觸處的位移協(xié)調(diào)與車橋相互作用力的平衡條件相聯(lián)系,分別建立起車橋耦合系統(tǒng)中車輛與橋梁的振動(dòng)方程。3.編制汽車—連續(xù)體系梁橋耦合系統(tǒng)振動(dòng)分析程序基于分離迭代法的車橋耦合振動(dòng)分析理論,采用ANSYS軟件的APDL語(yǔ)言編制汽車—連續(xù)體系梁橋耦合系統(tǒng)振動(dòng)分析程序,并通過(guò)計(jì)算實(shí)例驗(yàn)證程序的可靠性。算例中,汽車采用由彈簧和阻尼元件連接的多剛體模型,采用Newmark-β法求解汽車和橋梁的運(yùn)動(dòng)方程,經(jīng)循環(huán)迭代得到汽車和橋梁的動(dòng)力響應(yīng)。4.連續(xù)梁橋的車橋耦合振動(dòng)分析以某連續(xù)梁橋?yàn)檠芯繉?duì)象,采用三軸汽車模型,運(yùn)用自編程序計(jì)算汽車-連續(xù)梁橋耦合系統(tǒng)的動(dòng)力響應(yīng),研究車輛數(shù)目、車輛間距、不同車道、車輛相向行駛、路面等級(jí)、汽車懸架剛度、汽車懸架阻尼、輪胎剛度、輪胎阻尼及車速等因素對(duì)車橋動(dòng)力響應(yīng)的影響,并對(duì)橋梁的振動(dòng)響應(yīng)和汽車的運(yùn)行安全性進(jìn)行分析評(píng)價(jià)。5.先簡(jiǎn)支后連續(xù)梁橋的車橋耦合振動(dòng)分析以與上述連續(xù)梁橋具有相同截面特性的先簡(jiǎn)支后連續(xù)梁橋?yàn)檠芯繉?duì)象,提出先簡(jiǎn)支后連續(xù)梁橋動(dòng)力分析模型,該模型在沒有劃分施工階段的前提下可以考慮先簡(jiǎn)支后連續(xù)梁橋的受力特點(diǎn)及成橋狀態(tài)與連續(xù)梁橋的差異。對(duì)該橋進(jìn)行車橋耦合振動(dòng)響應(yīng)及影響因素分析,并與連續(xù)梁橋的車橋動(dòng)力響應(yīng)進(jìn)行對(duì)比。
[Abstract]:In recent years, with the increase of traffic volume, the increase of driving speed and the increasing trend of vehicle overload, the interaction between vehicle and bridge is becoming more and more important. At the same time, continuous system beam bridges (including continuous beam bridges and simple supported and then continuous girder bridges) are widely used in highway bridges. The vehicle-bridge coupling dynamic response and its influencing factors need to be deeply studied. In addition, due to the special construction technology, the force and stiffness distribution of the simple supported and then continuous beam bridges are constantly changing in the process of system transformation, and the final state of the bridge is different from the corresponding continuous beam bridges. The comparative analysis of the vehicle-bridge coupling dynamic response and its influencing factors between the continuous beam bridge and the first supported and then continuous beam bridge is worth discussing. Therefore, according to the theory of vehicle-bridge coupling vibration analysis based on the separated iteration method, the finite element program of vibration analysis of vehicle-continuous system beam bridge coupling system is compiled by APDL language of ANSYS software, which is based on continuous system beam bridge engineering. The vehicle-bridge coupling dynamic response and its influencing factors of continuous beam bridge and simple supported continuous beam bridge are compared and analyzed. The main research contents are as follows: 1. The dynamic analysis model of vehicle-continuous system beam bridge coupling system is established. The dynamic analysis model of continuous system beam bridge (including continuous beam bridge and continuous beam bridge with simple support and then continuous beam bridge) is established by ANSYS software. The vehicle is discretized as a multi-rigid body system connected by spring and damper. Taking a three-axle six-wheel vehicle as an example, the main parameters needed to establish the vehicle spatial vibration analysis model are introduced. Nine degrees of freedom are considered in the vehicle model. The bridge deck irregularity is regarded as a stationary random process. After selecting its power spectral density function, the triangular series method is used to simulate the sample value by MATLAB language. The vibration equation of vehicle-continuous system beam-bridge coupling system is derived. The vehicle and bridge are divided into two subsystems: vehicle and bridge. The theory of vehicle-bridge coupling vibration is based on the separation iteration method. The vibration equation of vehicle and bridge in the vehicle-bridge coupling system is established by the relationship between the displacement coordination between the wheel and the bridge deck and the equilibrium condition of the vehicle-bridge interaction force. The vibration analysis program of vehicle-continuous system beam-bridge coupling system is compiled. Based on the theory of vehicle-bridge coupling vibration analysis based on the separation iteration method, the vibration analysis program of vehicle-continuous system beam-bridge coupling system is compiled by using APDL language of ANSYS software. The reliability of the program is verified by an example. As an example, the multi-rigid body model connected by spring and damping element is used to solve the motion equation of automobile and bridge by Newmark- 尾 method. The dynamic response of automobile and bridge is obtained by cyclic iteration. The vehicle-bridge coupling vibration analysis of continuous beam bridge takes a continuous beam bridge as an object of study, adopts a three-axle vehicle model, calculates the dynamic response of the vehicle-continuous beam bridge coupling system by using a self-compiled program, studies the number of vehicles, vehicle spacing, and different lanes. The effects of the factors such as vehicle heading, pavement grade, vehicle suspension stiffness, vehicle suspension damping, tire stiffness, tire damping and speed on the dynamic response of vehicle-bridge are analyzed and evaluated. The analysis of vehicle-bridge coupling vibration of the first simply supported and then continuous beam bridge is based on the dynamic analysis model of the first simply supported and then continuous beam bridge with the same cross-section characteristics as the above continuous beam bridge. On the premise of not dividing the construction stage, the model can take into account the stress characteristics of simply supported and then continuous beam bridges and the difference between the completed state and the continuous beam bridges. The vibration response of the bridge and vehicle-bridge coupling and its influencing factors are analyzed, and the dynamic response of the bridge is compared with that of the continuous beam bridge.
【學(xué)位授予單位】:鄭州大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:U441.3

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