（中南建筑设计院股份有限公司， 武汉 430071）

［摘要］能量变分解可分为三种：间接解、直接解和修正解，其中修正解是建立在直接解的基础上，采用拉格朗日乘子对约束条件和位移函数进行了修正，得到了用于变分分析的无约束泛函。对这三种能量变分解进行了探讨，并对这三种能量变分解在高层及大跨度结构分析中的应用作了简要的介绍，得出了一些有益的结论，对工程应用有一定参考价值。

［关键词］能量变分解； 拉格朗日乘子； 高层结构； 大跨度结构

中图分类号：TU31， TU973文献标识码：A文章编号：1002-848X(2017)21-0042-04

Discussion on three solutions and application of energy variation

Liu Kaiguo

(Central-south China Architectural Design Institute Co.,  Ltd.,  Wuhan 430071, China)

Abstract:The energy variational solution may be divided into three classes: undirect solution, direct solution and modified solution. The modified solution is presented based on the direct solution, and  the constraint conditions and the displacement function were modified  by adopting Lagrange multipliers, and an unconstrained variational analytic function was obtained. This three energy variational solutions were discussed and the application of this three energy variational solutions in  high-rise and long-span structures analysis was briefly introduced. Some useful conclusions were summarized, which will be valuable for the further practice.

Keywords:energy variational solution; Lagrange multipliers; high\|rise structure; long-span structure

作者简介：刘开国，教授级高级工程师，Email：b2bf@163.com。