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胡啟平¹ , 林    凱 ¹ , 周    娟²

( 1. 河北工程大學 土木工程學院 河北 邯鄲； 2. 邯鄲職業技術學院 河北 邯鄲）

摘   要：在連續化假定的基礎上，將帶斜撐巨型框架與核心筒分別等效為底端固定 、上端自由的懸臂梁，等效后的懸臂梁具有彎曲剛度和剪切剛度 。將樓板等效成剛性連桿，建立帶斜撐巨型框架－核心筒高層建筑結構協同分析的計算模型 。在哈密頓力學體系下對結構進行分析，導出哈密頓正則方程，采用精細積分法求解結構在側向力作用下的位移與內力 。用這種方法對帶斜撐巨型框架－核心筒結構進行協同分析 ，理論推導思路清晰、過程簡捷 ，數值計算易于編程 、精度較高 。采用本文方法對帶斜撐巨型框架－核心筒高層建筑結構進行協同分析 ，可以準確把握結構的整體受力性能 ，在初步設計階段對結構方案進行試算和快速分析。

關鍵詞： 帶斜撐巨型框架－核心筒； 高層建筑結構計算； 哈密頓對偶體系； 協同分析； 精細積分法

中圖分類號： TU973. 17      

文獻標志碼： A      

文章編號： 1005-8249 (2023) 06-0001-07

DOI : 10. 19860/j.cnki.issn1005-8249.2023.06.001

HU Qiping , LIN Kai , ZHOU Juan

( 1 . College of Civil Engineering Hebei University of Engineering , Handan 056038 , China;

2. Handan Vocational and Technical College , Handan 056038 , China)

Abstract：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 mega-frame-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.

Keywords : mega - braced frame - core tube ; calculation of high - rise building structure ;  coordination analysis ; Hamiltonian dual system; precise integration method

 

?基金項目： 河北省自然科學基金資助項目  (E2016402110) 。

作者簡介： 胡啟平  ( 1963—) , 男 ，碩士 ，教授 ，主要研究方向為力學與建筑結構。

通信作者： 林凱  (1997—) , 男 ，碩士 ，研究方向為建筑土木。         收稿日期： 2023-07-12