本文關(guān)鍵詞：車橋耦合系統(tǒng)動(dòng)力相互作用與多點(diǎn)地震響應(yīng)數(shù)值方法研究　出處：《大連理工大學(xué)》2015年博士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 結(jié)構(gòu)動(dòng)力學(xué) 車橋耦合系統(tǒng) 隨機(jī)振動(dòng) 地震動(dòng)空間效應(yīng)

【摘要】：車輛橋梁耦合系統(tǒng)是一個(gè)時(shí)變的復(fù)雜動(dòng)力學(xué)系統(tǒng)。隨著車速不斷提高,行車密度不斷增加,載重量的不斷增大,車輛與橋梁耦合系統(tǒng)的動(dòng)力特性與振動(dòng)控制越來(lái)越受到人們的重視。另外,隨著高速公路和高速鐵路的迅猛發(fā)展,橋梁在線路中所占的比重越來(lái)越大,地震發(fā)生時(shí)車輛在橋梁上的機(jī)率大為增加。此時(shí),路面／軌道不平順以及可能發(fā)生的脫離會(huì)導(dǎo)致系統(tǒng)內(nèi)部存在時(shí)頻非平穩(wěn)隨機(jī)性與非線性作用關(guān)系,而橋梁高柔性、低阻尼的動(dòng)力特性使其對(duì)地震地面運(yùn)動(dòng)隨機(jī)場(chǎng)的非均勻性和非平穩(wěn)性更為敏感。 車橋耦合系統(tǒng)動(dòng)力相互作用問(wèn)題的求解可分為時(shí)變方法和迭代方法兩種。時(shí)變方法將耦合系統(tǒng)作為一個(gè)整體,應(yīng)用逐步積分方法對(duì)時(shí)變運(yùn)動(dòng)方程組直接進(jìn)行求解。迭代方法將車輛與橋梁分別作為兩個(gè)獨(dú)立的子系統(tǒng),通過(guò)他們之間的相互作用關(guān)系,經(jīng)過(guò)多次迭代從而得到整個(gè)系統(tǒng)的動(dòng)力響應(yīng)。迭代方法突出的優(yōu)點(diǎn)是將車輛和橋梁子系統(tǒng)作為常規(guī)的結(jié)構(gòu)動(dòng)力學(xué)問(wèn)題進(jìn)行分析,可以避免時(shí)變方法中因車橋系統(tǒng)參數(shù)差異過(guò)大可能引起的系數(shù)矩陣病態(tài)問(wèn)題。 本文在車橋耦合系統(tǒng)傳統(tǒng)迭代方法基礎(chǔ)上,提出基于車橋相互作用力預(yù)估格式的免迭代方法,在保證計(jì)算精度的前提下顯著提高了計(jì)算效率,并且將車輛與橋梁之間復(fù)雜的連接關(guān)系與方程的求解相剝離。研究了車輛與橋梁之間力的傳遞方式,建立了考慮車輪與橋梁脫離及隨機(jī)路面不平順的線性互補(bǔ)方法,進(jìn)一步發(fā)展了車橋耦合系統(tǒng)多點(diǎn)非平穩(wěn)隨機(jī)地震作用下隨機(jī)響應(yīng)分析模型和高效求解方法。具體研究?jī)?nèi)容包括： 1)針對(duì)橋梁在移動(dòng)力作用下的動(dòng)力響應(yīng)分析問(wèn)題,提出了一種基于有限元模型和Duhamel積分的解析方法。該方法通過(guò)構(gòu)造橋面分段連續(xù)形函數(shù),得到了移動(dòng)力作用下橋梁動(dòng)力響應(yīng)的解析表達(dá)；在計(jì)算中通過(guò)對(duì)Duhamel積分的分解變換,利用積分的可加性,極大地減少了計(jì)算時(shí)間,并可方便地獲得多個(gè)移動(dòng)力下橋梁的共振和相消條件。 2)提出了一種基于車橋相互作用力預(yù)估格式的免迭代方法。該方法兼顧計(jì)算精度和效率,對(duì)于線性或非線性連接條件,均可通過(guò)預(yù)測(cè)得到當(dāng)前時(shí)刻車輛與橋梁間的相互作用力,采用精細(xì)積分方法分別對(duì)車輛、橋梁子系統(tǒng)直接進(jìn)行求解,從而避免了傳統(tǒng)迭代方法復(fù)雜、耗時(shí)的迭代過(guò)程,在保證計(jì)算精度的前提下顯著提高了計(jì)算效率 3)通過(guò)構(gòu)造車輪與橋梁之間相對(duì)位移和相互作用力間的線性互補(bǔ)關(guān)系,建立了考慮車輪與橋梁脫離和路面不平順的動(dòng)力學(xué)分析模型。無(wú)論車輪是否脫離、車輛模型如何復(fù)雜,該方法都可以采用統(tǒng)一的運(yùn)動(dòng)方程進(jìn)行描述。在求解中不需要在每一時(shí)間步內(nèi)對(duì)接觸狀態(tài)進(jìn)行判斷,避免了一般算法“假設(shè)—判斷—迭代”的過(guò)程。 4)建立了車輛橋梁耦合系統(tǒng)在非平穩(wěn)多點(diǎn)地震作用下考慮路面不平順的隨機(jī)動(dòng)力響應(yīng)分析方法。通過(guò)將預(yù)估免迭代算法與虛擬激勵(lì)法相結(jié)合,建立了同時(shí)考慮軌道不平順和多點(diǎn)地震的行波效應(yīng)、部分相干效應(yīng)和場(chǎng)地效應(yīng)的大型斜拉橋梁車輛耦合系統(tǒng)隨機(jī)動(dòng)力響應(yīng)分析高效分析算法,研究了地震動(dòng)及其空間效應(yīng)、路面不平順和車輛行駛速度等因素對(duì)車橋耦合系統(tǒng)隨機(jī)動(dòng)力響應(yīng)的影響,并進(jìn)一步從隨機(jī)振動(dòng)角度研究了地震對(duì)車輪與橋梁脫離的影響。
[Abstract]:The vehicle bridge coupling system is a time - varying complex dynamics system . As the vehicle speed is continuously increased , the driving density is continuously increased and the weight of the vehicle is continuously increased , the dynamic characteristics and vibration control of the vehicle and the bridge coupling system are more and more attention . In addition , with the rapid development of the highway and the high - speed railway , the probability of the vehicle on the bridge is greatly increased . The solution of dynamic interaction problem of axle coupling system can be divided into time - varying method and iterative method . The time - varying method applies the coupling system as a whole , and applies the step - by - step integration method to solve the time - varying motion equations . The iterative method takes the vehicle and the bridge as two independent subsystems . Through the interaction between them , the dynamic response of the whole system is obtained through many iterations . The iterative method has the advantage of using the vehicle and the bridge subsystem as the conventional structural dynamics problems . Based on the traditional iterative method of vehicle - bridge coupling system , this paper proposes a non - iterative method based on the vehicle - bridge interaction force prediction format , which improves the computational efficiency significantly on the premise of guaranteeing the calculation precision , and separates the complex connection relationship between the vehicle and the bridge from the solution of the equation . 1 ) According to the dynamic response analysis problem of bridge under the action of displacement , a finite element model and Duhamel integral analysis method are presented . The analytical expression of the dynamic response of the bridge under the action of displacement is obtained by constructing the continuous function of the bridge section . 2 ) A non - iterative method based on vehicle - bridge interaction force prediction format is proposed . The method considers the calculation precision and efficiency , and the interaction force between the vehicle and the bridge can be obtained by predicting the interaction force between the vehicle and the bridge at the current time by predicting the interaction force between the vehicle and the bridge at the current time by means of a fine integration method , thereby avoiding the complicated and time - consuming iterative process of the traditional iterative method , and obviously improving the calculation efficiency under the premise of guaranteeing the calculation accuracy . 3 ) By constructing the linear complementarity between the relative displacement and the interaction force between the wheel and the bridge , a dynamic analysis model considering the detachment of the wheel from the bridge and the irregularity of the road surface is established . Regardless of whether the wheel is disengaged , the vehicle model is complicated , the method can be described using a uniform motion equation . In solving the problem , it is not necessary to judge the contact state every time step , and the general algorithm " hypothesis - determination - iteration " is avoided . 4 ) The stochastic dynamic response analysis method of vehicle bridge coupling system considering road surface irregularity is established under the action of non - stationary multi - point earthquake . By combining the estimated non - iterative algorithm with the virtual excitation method , the influence of ground motion and its spatial effect , surface irregularity and vehicle running speed on the random dynamic response of axle coupling system is studied .

【學(xué)位授予單位】：大連理工大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類號(hào)】：U441.3

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