基于哈密顿力学的斜交网格筒-核心筒结构协同分析  

Synergistic Analysis of Diagonal Intersecting Grid Cylinder-core Cylinder Structure Based on Hamiltonian Theory

作　　者：胡启平[1] 宋佳乐 HU Qi-ping;SONG Jia-le(College of Civil Engineering,Hebei University of Engineering,Handan 056038,China)

机构地区：[1]河北工程大学土木工程学院,邯郸056038

出　　处：《科学技术与工程》2023年第28期11954-11961,共8页Science Technology and Engineering

基　　金：河北省自然科学基金(E20164021100)。

摘　　要：高层斜交网格筒-核心筒结构是由斜交网格筒与核心筒组成的新型双抗侧力体系,协同分析是结构简化计算的基础。采用连续化方法将斜交网格筒等效为正交各向异性连续筒体,考虑其剪力滞后效应;将开有洞口的钢筋混凝土核心筒简化为双肢剪力墙模型,建立同时考虑内外筒弯曲变形和剪切变形的并联铁摩辛柯梁模型。采用哈密顿力学求解体系对结构进行协同分析,导出结构协同工作的哈密顿正则方程,用两端边值问题的精细积分法求出结构的侧移、网格斜柱轴力和核心筒剪力墙内力,理论推导过程便捷、数值计算结果精确。与有限元方法对比,二者结果吻合良好,误差不超过5%。对结构协同工作性能的影响因素进行了分析。结果表明:基于哈密顿力学的斜交网格筒-核心筒结构协同分析新方法,为斜交网格筒-核心筒结构分析提供了新途径。The high-rise diagonal intersecting grid cylinder-core cylinder structure is a new dual lateral force-resisting system consisting of diagonal intersecting grid cylinder and core cylinder,and synergetic analysis is the basis for the simplified calculation of the structure.The continuity method was adopted to equate the diagonal intersecting grid cylinder to an orthogonal anisotropic continuous cylinder,considering the shear lag effect.The reinforced concrete core with openings was simplified to a double-limb shear wall model,and a parallel Timoshenko beam model was established to consider both internal and external cylinder bending deformation and shear deformation.The Hamiltonian mechanics'solution system was used to carry out the synergistic analysis of the structure,derive the Hamiltonian canonical equations for the synergistic work of the structure,and the fine integration method of the two-end side value problem was used to find out the lateral shift of the structure,the axial force of the diagonal column of the grid and the internal force of the shear wall of the core barrel,with convenient theoretical derivation process accurate numerical calculation results.In comparison with the finite element method,the two results agree well with an error of no more than 5%.The factors influencing the co-working performance of the structure was analysed.The research results show that the new method of diagonal intersecting grid cylinder-core cylinder structural co-working analysis based on Hamiltonian theory provides a new way for diagonal intersecting grid cylinder-core cylinder structural analysis.

关 键 词：斜交网格筒-核心筒结构 协同分析 哈密顿对偶体系 剪力滞后 精细积分法 

分 类 号：O39[理学—工程力学] TU311.4[理学—力学]