分阶段成形结构无应力状态控制法基本静力平衡方程研究  

Study of basic static equilibrium equation of unstressed state control method in phased forming structure

作　　者：张朝晖[1,2] 史姣[2] ZHANG Zhaohui;SHI Jiao(College of Transportation and Mapping Engineering, Yangling Vocational & Technical College, Yangling 712100, China;College of Water Resources and Architecture Engineering,Northwest A&F University, Yangling 712100, China)

机构地区：[1]杨凌职业技术学院交通与测绘工程学院,陕西杨凌712100 [2]西北农林科技大学水利与建筑工程学院,陕西杨凌712100

出　　处：《武汉大学学报（工学版）》2019年第10期885-890,共6页Engineering Journal of Wuhan University

基　　金：国家自然科学基金项目（编号：51505388）;国家重点研究计划项目（编号：2017YFC0405102）

摘　　要：为在严格意义上建立普遍适用的分阶段成形结构无应力状态控制法的基本静力平衡方程,基于势能驻值原理,得出了分阶段成形结构无应力状态控制法基本静力平衡方程,方程适用于平面和空间杆单元、梁单元、壳单元、三维实体单元的线性和非线性计算分析.根据方程提出了无应力状态量影响矩阵和广义力的新概念,揭示出在外部边界条件一致的前提下,结构单元的无应力状态量是决定分阶段施工桥梁内力和位移的主要因素,为传统分阶段施工桥梁结构计算静力平衡方程做了补充.最后以分阶段成形平面梁单元结构为实例,验证了所得出的基本方程的可靠性和正确性.In order to establish the basic static equilibrium equation of the unstressed state control method in the strict sense, this paper obtains the basic static equilibrium equation of the unstressed state control method in the phased forming structure based on the principle of resident potential energy,which is applicable to the linear and nonlinear analysis of the plane and space bar element, beam element, shell element and 3 D solid element. The new concept of the influence matrix of unstressed state quantity and the generalized force is proposed according to the equation;and it is revealed that the unstressed state quantity of the structural element is the main factor to determine the internal force and displacement of the construction bridge under the premise that the external boundary condition is consistent, and the equation is a supplement to the static equilibrium equation of the traditional construction bridge structure. Finally, a numerical example is given to verify the reliability and correctness of the basic equations obtained in this paper.

关 键 词：无应力状态控制法 势能驻值原理 基本静力平衡方程 无应力状态量影响矩阵 广义力 

分 类 号：U445.40342[建筑科学—桥梁与隧道工程]