【摘要】：隨著我國公路和城市道路的迅速發(fā)展，高架道路以及立體交叉工程日益增多，大跨徑的直線梁橋與曲線梁橋應用廣泛。盡管新的公路橋梁抗震設計細則和城市橋梁抗震設計規(guī)范已相繼出臺，但是這類橋梁的計算方法和抗震理論并不是很成熟，需要深入研究。 本文從結構性態(tài)傳遞的概念出發(fā)，在課題組前期研究工作的基礎上，基于“輔助體系法”深化和發(fā)展了高架橋梁結構空間性態(tài)傳遞的理論，推導了靜力、動力、線性和彈塑性計算公式，應用于高架大跨橋梁的靜力計算、動力計算和抗震計算，并進行了算例分析和理論驗證。主要研究內容如下： 1.考慮剪切變形，基于“輔助體系法”推導了直線-曲線梁的空間性態(tài)傳遞場矩陣的精確解析公式；推導了12種不同荷載作用下的荷載項的精確解析公式；根據(jù)傳遞矩陣與剛度矩陣的關系推導了直線-曲線梁的空間剛度矩陣；根據(jù)支承的不同情況，，分別推導了集中荷載（包括集中力、集中彎矩、集中扭矩）、彈性支座、剛性支座和中間鉸的點矩陣。 2.基于“輔助體系法”對直線-曲線梁進行了空間彈塑性分析。采用單分量模型，提出了彎曲塑性鉸、剪切塑性鉸、扭轉塑性鉸以及拉壓塑性鉸的不同模型。推導了不同塑性鉸模型的傳遞矩陣；在此基礎上，提出了“鏈式塑性鉸”的塑性域模型，推導了塑性域的性態(tài)傳遞關系，使得傳遞矩陣的彈塑性分析更加合理。 3.分析了支座的類型以及受力情況，分別推導了固定鉸支座、固定支座上下截面的空間性態(tài)傳遞關系；根據(jù)橋墩的不同類型及受力特點，基于“輔助體系法”推導了等截面墩、變截面圓形墩和變截面矩形墩的空間性態(tài)傳遞矩陣的精確解析公式，并將梁、支座與墩的性態(tài)傳遞關系聯(lián)系到一起，共同組成整個橋梁的總空間傳遞關系。 4.將空間性態(tài)傳遞的輔助體系理論應用于高架橋梁的振動特性分析。根據(jù)邊界條件的不同，運用頻率搜索方法求得結構的自振頻率，進而求得結構的各階振型。 5.結合結構抗震分析原理，建立了高架橋的抗震性態(tài)傳遞理論�；诟道锶~變換，采用“輔助體系”傳遞矩陣法和底部大質量法相結合，提出了高架橋梁在多點輸入下地震反應分析的頻域輔助體系性態(tài)傳遞矩陣法。 6.基于以上理論，采用MATLAB研制了相應的計算機分析程序，并進行了相應的算例計算。
[Abstract]:With the rapid development of highway and urban road in our country, viaduct and crossing engineering are increasing day by day. The long-span linear girder bridge and curved beam bridge are widely used. Although new rules of aseismic design for highway bridges and codes for seismic design of urban bridges have been issued one after another, the calculation methods and seismic theory of these bridges are not very mature and need further study. Based on the concept of structural state transfer, based on the previous research work of the research group, the theory of spatial state transfer of elevated bridge structure is deepened and developed based on "auxiliary system method", and the static and dynamic forces are derived. The linear and elastic-plastic formulas are applied to static calculation, dynamic calculation and seismic calculation of long-span viaduct bridges. The main contents are as follows: 1. Considering shear deformation, an exact analytical formula of the spatial transfer field matrix of a straight-curve beam is derived based on the "auxiliary system method", and an exact analytical formula of the load term under 12 different loads is derived. According to the relation between transfer matrix and stiffness matrix, the spatial stiffness matrix of straight-curve beam is deduced. The point matrices of concentrated load (including concentrated force, concentrated moment, concentrated torque), elastic support, rigid support and intermediate hinge are derived according to the different conditions of support. 2. The spatial elastoplastic analysis of linear-curve beam is carried out based on the auxiliary system method. Different models of bending plastic hinge, shear plastic hinge, torsional plastic hinge and tension-compression plastic hinge are proposed by using single component model. The transfer matrix of different plastic hinge models is derived, and the plastic domain model of "chain plastic hinge" is proposed, and the behavior transfer relation in plastic domain is deduced, which makes the elastic-plastic analysis of transfer matrix more reasonable. 3. Based on the analysis of the type and force of the bearing, the spatial transfer relationship between the upper and lower sections of the fixed hinge bearing and the upper and lower section of the fixed hinge support is derived respectively. According to the different types of bridge piers and their stress characteristics, based on the "auxiliary system method", the exact analytical formulas of the spatial transfer matrix of the uniform section pier, the variable section circular pier and the variable section rectangular pier are derived. The relationship between the bearing and the piers is connected together to form the total spatial transfer relationship of the whole bridge. 4. The auxiliary system theory of spatial state transfer is applied to the analysis of vibration characteristics of elevated bridges. According to the difference of boundary conditions, the natural frequency of the structure is obtained by the method of frequency search, and then the vibration modes of each order of the structure are obtained. 5. The theory of seismic behavior transfer of viaduct is established based on the principle of seismic analysis. Based on Fourier transform, using the transfer matrix method of "auxiliary system" and the method of large mass at the bottom, a frequency-domain auxiliary system-state transfer matrix method for seismic response analysis of elevated bridges under multi-point input is proposed. 6. Based on the above theory, the computer analysis program is developed by MATLAB, and the corresponding calculation examples are given.
【學位授予單位】：西安建筑科技大學
【學位級別】：博士
【學位授予年份】：2014
【分類號】：U441

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