本文關鍵詞：車橋耦合系統(tǒng)動力相互作用與多點地震響應數(shù)值方法研究　出處：《大連理工大學》2015年博士論文　論文類型：學位論文

  更多相關文章： 結構動力學 車橋耦合系統(tǒng) 隨機振動 地震動空間效應

【摘要】：車輛橋梁耦合系統(tǒng)是一個時變的復雜動力學系統(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)的動力特性與振動控制越來越受到人們的重視。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越大,地震發(fā)生時車輛在橋梁上的機率大為增加。此時,路面／軌道不平順以及可能發(fā)生的脫離會導致系統(tǒng)內部存在時頻非平穩(wěn)隨機性與非線性作用關系,而橋梁高柔性、低阻尼的動力特性使其對地震地面運動隨機場的非均勻性和非平穩(wěn)性更為敏感。 車橋耦合系統(tǒng)動力相互作用問題的求解可分為時變方法和迭代方法兩種。時變方法將耦合系統(tǒng)作為一個整體,應用逐步積分方法對時變運動方程組直接進行求解。迭代方法將車輛與橋梁分別作為兩個獨立的子系統(tǒng),通過他們之間的相互作用關系,經過多次迭代從而得到整個系統(tǒng)的動力響應。迭代方法突出的優(yōu)點是將車輛和橋梁子系統(tǒng)作為常規(guī)的結構動力學問題進行分析,可以避免時變方法中因車橋系統(tǒng)參數(shù)差異過大可能引起的系數(shù)矩陣病態(tài)問題。 本文在車橋耦合系統(tǒng)傳統(tǒng)迭代方法基礎上,提出基于車橋相互作用力預估格式的免迭代方法,在保證計算精度的前提下顯著提高了計算效率,并且將車輛與橋梁之間復雜的連接關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路面不平順的線性互補方法,進一步發(fā)展了車橋耦合系統(tǒng)多點非平穩(wěn)隨機地震作用下隨機響應分析模型和高效求解方法。具體研究內容包括： 1)針對橋梁在移動力作用下的動力響應分析問題,提出了一種基于有限元模型和Duhamel積分的解析方法。該方法通過構造橋面分段連續(xù)形函數(shù),得到了移動力作用下橋梁動力響應的解析表達；在計算中通過對Duhamel積分的分解變換,利用積分的可加性,極大地減少了計算時間,并可方便地獲得多個移動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估格式的免迭代方法。該方法兼顧計算精度和效率,對于線性或非線性連接條件,均可通過預測得到當前時刻車輛與橋梁間的相互作用力,采用精細積分方法分別對車輛、橋梁子系統(tǒng)直接進行求解,從而避免了傳統(tǒng)迭代方法復雜、耗時的迭代過程,在保證計算精度的前提下顯著提高了計算效率 3)通過構造車輪與橋梁之間相對位移和相互作用力間的線性互補關系,建立了考慮車輪與橋梁脫離和路面不平順的動力學分析模型。無論車輪是否脫離、車輛模型如何復雜,該方法都可以采用統(tǒng)一的運動方程進行描述。在求解中不需要在每一時間步內對接觸狀態(tài)進行判斷,避免了一般算法“假設—判斷—迭代”的過程。 4)建立了車輛橋梁耦合系統(tǒng)在非平穩(wěn)多點地震作用下考慮路面不平順的隨機動力響應分析方法。通過將預估免迭代算法與虛擬激勵法相結合,建立了同時考慮軌道不平順和多點地震的行波效應、部分相干效應和場地效應的大型斜拉橋梁車輛耦合系統(tǒng)隨機動力響應分析高效分析算法,研究了地震動及其空間效應、路面不平順和車輛行駛速度等因素對車橋耦合系統(tǒng)隨機動力響應的影響,并進一步從隨機振動角度研究了地震對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 .

【學位授予單位】：大連理工大學
【學位級別】：博士
【學位授予年份】：2015
【分類號】：U441.3

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