带斜撑巨型框架-核心筒结构协同分析的哈密顿对偶体系

Hamiltonian Dual System for Collaborative Analysis of Mega-braced Frame-core Tube

在连续化假定的基础上,将带斜撑巨型框架与核心筒分别等效为底端固定、上端自由的悬臂梁,等效后的悬臂梁具有弯曲刚度和剪切刚度。将楼板等效成刚性连杆,建立带斜撑巨型框架-核心筒高层建筑结构协同分析的计算模型。在哈密顿力学体系下对结构进行分析,导出哈密顿正则方程,采用精细积分法求解结构在侧向力作用下的位移与内力。用这种方法对带斜撑巨型框架-核心筒结构进行协同分析,理论推导思路清晰、过程简捷,数值计算易于编程、精度较高。采用本文方法对带斜撑巨型框架-核心筒高层建筑结构进行协同分析,可以准确把握结构的整体受力性能,在初步设计阶段对结构方案进行试算和快速分析。

On the basis of equivalent continuity,the mega-braced frame-core tube structure are equivalent to cantilever beams with fixed bottom and free top,and the equivalent cantilever beams have bending stiffness and shear stiffness;The floor slab is equivalent to a rigid connecting rod,and a calculation model for collaborative analysis of mega-braced frame-core tube structure is established.The structure is analyzed under Hamilton mechanics system,Hamilton canonical equation is derived,and the displacement and internal force of the structure under lateral force are solved by precise integration method.This method is used for collaborative analysis of megaframe-core tube structure with diagonal braces􀆰The theoretical deduction idea is clear,the process is simple,the numerical calculation is easy to program and the accuracy is high􀆰In this paper,the collaborative analysis of mega-frame-core tube high-rise building structure with diagonal braces is adopted,which can accurately grasp the overall mechanical performance of the structure,and make trial calculation and rapid analysis of the structural scheme in the preliminary design stage.