施工模拟中分步建模法的改进实现方法及应用

Improved Method of Step by Step Modelling and Its Application in Construction Simulation

摘要:

针对当前分步建模法存在的刚度矩阵修正和新增结构定位等问题，提出了将每个施工阶段分为初始时刻和结束时刻进行分析的方法.在此基础上，提出了钢结构施工过程分析中结构刚度矩阵修正的新方法.同时，针对新增构件定位及结构位形定位问题，提出了修正设计位形定位法.最后，对现有分步建模法的实现方法进行了改进.基于Matlab软件平台，编制了改进分步建模法的计算模块，模拟分析2层刚架结构的施工过程，并与状态变量叠加法、生死单元法、一步成型法进行对比.结果表明，本文的刚度矩阵修正方法及修正设计位形方法正确、有效、计算精度高.

关键词:钢结构分步建模法; 刚度矩阵修正; 转换矩阵; 新增结构定位法

Abstract:

Based on the problems of the modification of stiffness matrix and the positioning of added structures in the step by step modelling method, a method which divides each construction stage into beginning phase and end phase and analyzes different phases respectively was proposed. Subsequently, a new method for modifying the stiffness matrix of structures was developed in construction process analysis of steel structures. Meanwhile, to determine the position of the added structures, a correction positioning method of design configuration was advised herein. Consequently, the existing step by step modelling method was improved. Furthermore, to simulate the construction process of a twostory frame, the improved step by step modelling method was programmed in Matlab software. The numerical results of the improved step by step modelling method were compared with those of state variable superposition method, birthdeath element method and one step forming method. It is shown that the modification methods of stiffness matrix and the positioning of design configuration are reasonable, effective and accurate.

Key words:step by step modelling method of steel structures; modification of stiffness matrix; transformation matrix; positioning method of added structures