湖南大学学报（自然科学版）2016，Vol.43Issue(11)：112-119,8.
单元解体法精确求解梁元无应力构形∗
Accurate Solution for Unstressed Configuration of Beam by Element Disintegration Theory
摘要
Abstract
In order to solve the unstressed configuration of beams,the accurate computation element disintegration theory,named as geometric method and zero-loads method,was created based on the theory of nonlinear second order beam-column theory and CR-UL total deformation theory.The basic parameters of unstressed configuration of beam were firstly solved by using the geometric information and correspond-ing element resistance of the obj ective configuration.The full unstressed configuration of component ele-ment was also confirmed by using the geometric method as coordinate transformation.The zero-loads method as converse calculation based on these basic parameters was then proved to be effective.Moreover, a program was compiled to verify the above two methods.The results show that the geometric method for full unstressed configuration of beam elements in this paper could be executed efficiently without the finite element model of full structures,and the zero-loads method could be executed efficiently under the condi-tion of impeccable geometric nonlinear program.关键词
几何非线性/无应力构形/单元解体理论/几何法/零作用法/CR-UL全量理论Key words
geometric nonlinear/unstressed configuration/element disintegration theory/geometric method/zero-loads method/CR-UL total deformation theory分类
交通工程引用本文复制引用
董道福,陈常松,颜东煌,涂光亚,袁明..单元解体法精确求解梁元无应力构形∗[J].湖南大学学报（自然科学版）,2016,43(11):112-119,8.基金项目
国家自然科学基金资助项目(51178059,51178058,51678070),National Natural Science Foundation of China (51178059,51178058,51678070) （51178059,51178058,51678070）
国家重点研究基础发展计划(973计划)资助项目(2015CB057706) （973计划）
长沙理工大学桥梁工程湖南省高校重点实验室开放基金资助项目(13KA03) （13KA03）
湖南省教育厅资助科研项目(10K006) （10K006）
