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（中南建筑設(shè)計(jì)院股份有限公司， 武漢 430071）
［摘要］能量變分解可分為三種：間接解、直接解和修正解，其中修正解是建立在直接解的基礎(chǔ)上，采用拉格朗日乘子對約束條件和位移函數(shù)進(jìn)行了修正，得到了用于變分分析的無約束泛函。對這三種能量變分解進(jìn)行了探討，并對這三種能量變分解在高層及大跨度結(jié)構(gòu)分析中的應(yīng)用作了簡要的介紹，得出了一些有益的結(jié)論，對工程應(yīng)用有一定參考價值。
［關(guān)鍵詞］能量變分解； 拉格朗日乘子； 高層結(jié)構(gòu)； 大跨度結(jié)構(gòu)
中圖分類號：TU31， TU973文獻(xiàn)標(biāo)識碼：A文章編號：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
作者簡介：劉開國，教授級高級工程師，Email：b2bf@163.com。
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