組合型扁扭網(wǎng)殼結(jié)構(gòu)分析
劉開國
- 摘 要
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（中南建筑設(shè)計院股份有限公司， 武漢 430071）［摘要］組合型扁扭網(wǎng)殼主要用于大空間屋蓋，這種網(wǎng)殼具有自重輕、剛度好、節(jié)約鋼材等優(yōu)點。目前，組合型扁扭網(wǎng)殼在國內(nèi)的研究和應(yīng)用還相對較少。采用連續(xù)化的數(shù)學(xué)模型，首先給出了網(wǎng)殼的內(nèi)力與位移的關(guān)系，以及簡要地介紹了拉格朗日乘子法。然后對組合型扁扭網(wǎng)殼的靜力與動力特性采用能量變分原理進行分析，采用拉格朗日乘子對約束條件和位移函數(shù)進行了處理，得到了用于變分分析的無約束泛函。通過一個算例闡述了該方法的應(yīng)用，供結(jié)構(gòu)初步設(shè)計參考。［關(guān)鍵詞］組合型; 扁扭網(wǎng)殼; 能量變分法; 拉格朗日乘子法中圖分類號：TU33 文獻標(biāo)識碼：A 文章編號：1002-848X(2016)09-0086-04
Analysis of combined-type flat twist latticed shellLiu Kaiguo(Central-South Architectural Design Institute Co., Ltd., Wuhan 430071, China)Abstract: Combined-type flat twist latticed shell especially is used in large spatial roofs, which has the features of light weight, high stiffness and saving steel. At present, the research and application of this combined-type flat latticed shell are still not widespread. The mathematical model of an equivalant contimun was proposed. Firstly, the relationship of internal force and displacement of this latticed shell was deduced, and the lagrange multiplier method was briefly introduced. Then the static and dynamical characteristics of combined-type flat twist latticed shell were analyzed by the energy variational principle,and the treatment of the constraint conditions and the displacement function gives an unconstrained variational analytic function by adopting lagrange multipliers. Finally, a numerical example was given to illustrate the application of this method, which can be used in the preliminary design of structures.
Keywords: combined type; flat twist latticed shell; energy variational method; lagrange multiplier method
作者簡介：劉開國，教授級高級工程師。
