高墩曲线桥梁的多阶段力学模型与性态传递理论研究

发布时间：2018-03-01 09:06

本文关键词： 高墩曲线桥梁多阶段力学模型性态传递理论静力分析地震分析振动台试验　出处：《西安建筑科技大学》2014年博士论文　论文类型：学位论文

【摘要】：高墩曲线桥梁由于其对地形地貌的适应性强、造型美观等优点，，在高等级公路及城市立交中广泛应用。该类型桥梁由于结构形式与力学特性复杂，在地震作用下容易发生损伤与破坏，但破坏过程和破坏机理的研究较少，相应的分析方法还不成熟，亟待深入研究。本文基于对高墩曲线桥梁上部结构、支座、桥墩及桩基础的构造形式、受力特点以及上、下部结构与桩基共同工作模式的分析，提出曲线桥梁弹性、弹塑性及倒塌系统的多阶段力学计算模型，建立符合力学传递规律的性态传递理论开展研究工作。（1）提出了曲线桥梁弹性系统的力学计算模型。以经典弹性理论为基础，考虑曲线箱梁桥的空间弯曲、剪切、扭转、拉压、翘曲及其相互间的耦合作用，考虑截面的剪切中心与形心不重合的影响，基于辅助体系法分别推导了曲线箱梁桥在无外荷载作用及在三向均布力、三向集中力、三向均布力矩和三向集中力矩作用下的显式空间传递矩阵，并进行编程与算例验证。（2）提出了Cayley-Hamilton传递矩阵法。考虑曲线桥梁的空间弯曲、剪切、扭转、拉压、翘曲及其相互间的耦合作用，根据曲线梁及集中质点的应力-应变关系、几何方程及运动方程，并结合Cayley-Hamilton定理，推导了曲线箱梁桥连续模型和离散模型的振动空间传递矩阵，并进行编程与算例分析。（3）提出了Cayley-Hamilton离散时间传递矩阵法。采用逐步积分法对速度和加速度进行线性化，在此基础上考虑曲线桥梁的空间弯曲、剪切、扭转、拉压、翘曲及其相互间的耦合作用，利用曲线梁及集中质点的应力-应变关系、几何方程及运动方程并结合Cayley-Hamilton定理，推导了地震作用下曲线箱梁桥在不考虑阻尼时连续模型和离散模型的空间传递矩阵，及考虑阻尼时离散模型的空间传递矩阵，并进行编程与算例分析。该方法将传递矩阵法的应用范围扩展到动力、非线性、时变领域，避免了传统方法建立系统总体动力学方程的巨大工程，系统总传递矩阵的阶次低，仅取决于元件的最高矩阵阶次，在时域内即可进行运动方程的计算，免去了在频域内动力计算时需进行傅立叶变换的复杂过程，计算量小，计算速度快，建模灵活、简洁、程式化程度高。（4）考虑墩柱的空间弯曲、扭转、剪切及拉压作用，基于辅助体系法，分别推导了墩柱在无外荷载作用及在三向均布力、三向集中力、三向均布力矩和三向集中力矩作用下的显式空间传递矩阵。并进行编程与算例验证。系统探讨了曲线桥梁中的可能出现的各种支承及连接铰形式，并推导了其传递矩阵。以链杆支承、中间铰和固定铰为例阐述了连接元件中未知量的求解方法。推导了支座单元的空间传递矩阵。探讨了曲梁系统中可能存在的各种边界条件。结合传递矩阵法与m法，给出桩基在单一土层及不同土层中的计算理论，并推导了其传递矩阵。（5）提出了曲线桥梁弹塑性系统的力学计算模型。利用辅助体系法推导了墩柱在p-Δ效应下的空间传递矩阵。利用刚度矩阵与传递矩阵之间的内在联系，求得墩柱单元同时考虑p-Δ效应和p-δ效应的空间传递矩阵。建立了考虑塑性铰长度的塑性域模型以模拟弹塑性墩柱，探讨了不同体系桥墩在纵横方向的塑性域分布模式。研究了塑性铰长度的计算方法。推导了不同受力状态下桥墩的塑性传递矩阵。（6）提出了曲线桥倒塌破坏系统的力学计算模型。基于塑性铰破坏理论，分析了不同受力状态下桥墩的可能倒塌破坏模式，建立了桥墩在不同阶段破坏过程中的传递矩阵。推导了局部坐标系与整体坐标系之间的空间转换矩阵。根据墩梁连接点处节点的平衡方程及位移协调条件，分别推导了桥梁刚架桥体系、简支梁体系及连续梁体系的整体传递矩阵，并进行编程与算例验证。探讨了刚架桥体系、简支梁体系和连续梁体系在地震作用下的可能破坏模式，并建立了各种体系桥梁在不同破坏阶段的整体传递矩阵。以振动台试验为基础，分析探讨了C形、S形及人字形曲线桥梁在地震作用下的倒塌破坏模式及破坏过程。
[Abstract]:High pier bridge because of its strong adaptability to the terrain, has the advantages of beautiful appearance, widely used in highway and city overpass. This type of bridge due to the structure form and mechanical characteristics of the complex, prone to damage in the earthquake, but the study on the failure process and failure mechanism of the less, corresponding analysis method is not mature, which needs to be studied further.
The upper curve of high pier bridge structure, based on the support structure of pier and pile foundation, stress characteristic and Analysis on the lower part of the structure and the pile foundation together working mode, put forward the curve bridge calculation model of multi stage elastic, elastic-plastic and collapse mechanics system, establish mechanical behavior of transfer transfer the theoretical research work.
(1) the mechanical calculation model of curved bridge elastic systems. With the classical elastic theory, considering the curved box girder bridge bending space, shear, torsion, tension and compression, warping and mutual coupling, considering the influence of shear center and centroid section do not coincide, the auxiliary system method were used to derive the curve the box girder bridge under no load, in three to three based on the uniform force, to focus, to three and three uniform moments to explicit space under concentrated moment transfer matrix, and programming with examples.
(2) the Cayley-Hamilton transfer matrix method. Considering the curve bridge space bending, shear, torsion, tension and compression, warping and mutual coupling, and the concentration of particle beam according to the curves of stress-strain relationship, geometric equation and motion equation, and combined with the Cayley-Hamilton theorem, derived continuous curved box girder bridge model the discrete model and the vibration spatial transfer matrix, and programming and example analysis.
(3) Cayley-Hamilton is proposed. The discrete time transfer matrix method of linear velocity and acceleration of the step by step integral method, on the basis of considering the curve bridge space bending, shear, torsion, tension and compression, warping and mutual coupling, and the concentration of particle beam using the curve of stress-strain relationship, geometric equation and the motion equation and Cayley-Hamilton theorem is deduced under earthquake curved box girder bridge in the damp space continuous model and discrete model of transfer matrix, and considering the damping discrete model of the spatial transfer matrix, and programming and example analysis. The scope of application of the method of transfer matrix method is extended to dynamic. The nonlinear, time-varying field, to avoid the huge project to establish a general dynamic equations of the system of the traditional method, the system of transfer matrix order is lower, only depends on the components of the highest order of matrices, In the time domain, the motion equation can be calculated, which eliminates the complex process of Fu Liye transformation needed for dynamic calculation in the frequency domain. The computation is small, the computation speed is fast, the modeling is flexible, concise, and the degree of stylization is high.
(4) considering the pier space bending, torsion, shear and tension, the auxiliary system method based on pier column are derived under no load, in three to the coverage of three to three to focus, uniform moments and three explicit space under concentrated moment and transfer matrix. Programming and example verification system. Discusses various supporting curved bridges may appear and hinge form, and the transfer matrix is derived. With the chain rod support, a middle hinge and fixed hinge for example this paper discusses the solving method in unknown connection element is deduced. The spatial transfer matrix. The support unit of various boundary conditions may exist in the curved beam system. Combined with the transfer matrix method and m method, theoretical calculation in single layer and soil in pile foundation are given, and the transfer matrix is derived.
(5) the mechanical calculation model of elastic-plastic curve bridge system. By using the auxiliary system method of pier column in p- Delta under the effect of the spatial transfer matrix. The relationship between stiffness matrix and the transfer matrix, obtain the unit pier considering the transfer matrix of p- effect and p- effect of the delta delta space. The establishment of the plastic hinge length of the plastic domain model to simulate the elastic-plastic pier considering, discusses the different system of piers in vertical and horizontal direction, plastic region distribution pattern was studied. Calculation method of plastic hinge length. Plastic transfer matrix derived pier under different stress state.
(6) put forward the calculation model of curve bridge collapse mechanics failure system. The plastic hinge failure theory based on analysis of the pier under different stress state may collapse mode, transfer matrix is established in the pier failure process in different stages is deduced between local coordinate system and global coordinate space conversion matrix. According to the equations of equilibrium and compatibility conditions of pier and beam connection point node, the bridge bridge system are derived, the whole transfer matrix beam system and continuous beam system, and programming with examples. Discusses the rigid frame bridge system, beam system and continuous beam system under seismic failure mode and the establishment of various bridges in the whole transfer matrix of different damage stages. Based on the shaking table test, analysis of the C shape, collapsed in the earthquake under the action of S and herringbone curve bridge Failure mode and failure process.

【学位授予单位】：西安建筑科技大学
【学位级别】：博士
【学位授予年份】：2014
【分类号】：U441

【参考文献】