基于高阶梁理论的双层组合梁动静力响应分析
发布时间：2018-07-27 13:42
【摘要】：组合梁作为一种性能优越的结构构件形式,可以更好地发挥组合梁各材料的力学性能,在土木工程、机械工程等领域中具有广泛的应用。工程界对组合梁结构的大量需求引发了对更可靠、精确组合梁力学分析模型、分析方法和数值模拟程序的需求。为此,本文建立了若干高阶组合梁动静力弯曲模型,并主要利用有限元法就组合梁的动/静力响应和稳定性问题展开了研究。本文建立了满足界面剪力连续性条件的Reddy高阶组合梁静力和稳定性分析的力学模型,基于Laplace变换方法得到了其线弹性静力响应的解析解以及给出了静力响应分析与稳定性临界荷载的有限元解。考虑组合梁的材料非线性,给出了相应的非线性有限元方程,并利用位移增量法对其进行了静力响应分析,重点分析了剪切效应对组合梁静力响应和稳定性的影响。考虑混凝土的收缩和徐变特性,以Timoshenko梁和Kant梁运动学假定分别描述组合梁的钢筋混泥土梁和钢托梁的运动,建立了钢-混凝土组合梁长期荷载行为分析的有限元方程,并编制了相应的计算机模拟程序,通过与3D厚壳有限元模型结果的对比,验证了本文提出模型的准确性和优越性。基于Kant高阶梁理论和约束型能量原理,建立了高阶组合梁静力分析的混合有限单元与位移有限单元,编制了相应的有限元分析程序。同时,讨论了位移法与混合法有限单元的优劣势,研究了组合梁界面不可压缩性和界面摩擦等对组合梁弯曲行为的影响。以Kant高阶梁模型刻画组合梁的各层子梁,建立了组合梁动力弯曲的有限元方程,编制了有限元程序,分别研究了组合梁的动力特性和瞬态响应。通过组合梁动力特性的Kant高阶组合梁模型结果与经典组合梁模型结果的对比分析,表明了Kant组合梁模型的准确性,并研究了地震加速度激励和移动荷载作用下Kant高阶组合梁的瞬态动力响应,揭示了组合梁的若干动力学现象。
[Abstract]:Composite beam, as a kind of structural member with superior performance, can give full play to the mechanical properties of composite beam materials, and has been widely used in civil engineering, mechanical engineering and other fields. The large demand for composite beam structures in the engineering field has led to the need for more reliable and accurate composite beam mechanics analysis models, analysis methods and numerical simulation programs. In this paper, some dynamic and static bending models of high order composite beams are established, and the dynamic / static response and stability of composite beams are studied by means of finite element method. In this paper, a mechanical model for static and stability analysis of Reddy high order composite beams satisfying interface shear continuity condition is established. Based on the Laplace transformation method, the analytical solution of the linear elastic static response is obtained, and the finite element solution of the static response analysis and the stability critical load is given. Considering the material nonlinearity of composite beam, the corresponding nonlinear finite element equation is given, and the static response of composite beam is analyzed by displacement increment method. The influence of shear effect on static response and stability of composite beam is analyzed emphatically. Considering the shrinkage and creep characteristics of concrete, the kinematic assumptions of Timoshenko beam and Kant beam are used to describe the movement of reinforced concrete beam and steel bracket beam respectively, and the finite element equation of long-term load behavior analysis of steel-concrete composite beam is established. The computer simulation program is compiled and compared with the results of 3D thick shell finite element model, the accuracy and superiority of the proposed model are verified. Based on Kant high order beam theory and constrained energy principle, the mixed finite element and displacement finite element for static analysis of high order composite beam are established, and the corresponding finite element analysis program is developed. At the same time, the advantages and disadvantages of the displacement method and the hybrid finite element method are discussed, and the effects of the interface incompressibility and the interface friction on the bending behavior of the composite beam are studied. The finite element equations of dynamic bending of composite beams are established by using the Kant higher-order beam model to describe the sub-beams of composite beams. The finite element program is compiled and the dynamic characteristics and transient responses of composite beams are studied respectively. By comparing the results of Kant high-order composite beam model with that of classical composite beam model, the accuracy of Kant composite beam model is proved. The transient dynamic responses of Kant high order composite beams under earthquake acceleration excitation and moving load are studied, and some dynamic phenomena of composite beams are revealed.
【学位授予单位】：上海大学
【学位级别】：博士
【学位授予年份】：2015
【分类号】：TU323.3
，
本文编号：2148013
[Abstract]:Composite beam, as a kind of structural member with superior performance, can give full play to the mechanical properties of composite beam materials, and has been widely used in civil engineering, mechanical engineering and other fields. The large demand for composite beam structures in the engineering field has led to the need for more reliable and accurate composite beam mechanics analysis models, analysis methods and numerical simulation programs. In this paper, some dynamic and static bending models of high order composite beams are established, and the dynamic / static response and stability of composite beams are studied by means of finite element method. In this paper, a mechanical model for static and stability analysis of Reddy high order composite beams satisfying interface shear continuity condition is established. Based on the Laplace transformation method, the analytical solution of the linear elastic static response is obtained, and the finite element solution of the static response analysis and the stability critical load is given. Considering the material nonlinearity of composite beam, the corresponding nonlinear finite element equation is given, and the static response of composite beam is analyzed by displacement increment method. The influence of shear effect on static response and stability of composite beam is analyzed emphatically. Considering the shrinkage and creep characteristics of concrete, the kinematic assumptions of Timoshenko beam and Kant beam are used to describe the movement of reinforced concrete beam and steel bracket beam respectively, and the finite element equation of long-term load behavior analysis of steel-concrete composite beam is established. The computer simulation program is compiled and compared with the results of 3D thick shell finite element model, the accuracy and superiority of the proposed model are verified. Based on Kant high order beam theory and constrained energy principle, the mixed finite element and displacement finite element for static analysis of high order composite beam are established, and the corresponding finite element analysis program is developed. At the same time, the advantages and disadvantages of the displacement method and the hybrid finite element method are discussed, and the effects of the interface incompressibility and the interface friction on the bending behavior of the composite beam are studied. The finite element equations of dynamic bending of composite beams are established by using the Kant higher-order beam model to describe the sub-beams of composite beams. The finite element program is compiled and the dynamic characteristics and transient responses of composite beams are studied respectively. By comparing the results of Kant high-order composite beam model with that of classical composite beam model, the accuracy of Kant composite beam model is proved. The transient dynamic responses of Kant high order composite beams under earthquake acceleration excitation and moving load are studied, and some dynamic phenomena of composite beams are revealed.
【学位授予单位】：上海大学
【学位级别】：博士
【学位授予年份】：2015
【分类号】：TU323.3
，
本文编号：2148013
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