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（1 溫州大學(xué)建筑與土木工程學(xué)院，325035；2 浙江大學(xué)空間結(jié)構(gòu)研究中心，杭州310027）

［提要］基于結(jié)構(gòu)整體可行性和對稱性、兩次奇異值分解提出了一種求解各種索穹頂結(jié)構(gòu)整體自應(yīng)力模態(tài)的新方法。分析發(fā)現(xiàn)，Kiewitt型索穹頂結(jié)構(gòu)具有多個(gè)獨(dú)立的、但沒能滿足整體可行性要求的整體自應(yīng)力模態(tài)。以初始應(yīng)變能最小為預(yù)應(yīng)力優(yōu)化目標(biāo)和重量最輕為截面優(yōu)化目標(biāo)進(jìn)行了優(yōu)化設(shè)計(jì)，獲得了合理的初始預(yù)應(yīng)力分布和截面大小。Kiewitt型索穹頂結(jié)構(gòu)算例表明了預(yù)應(yīng)力優(yōu)化及截面優(yōu)化模型的有效性和正確性。

［關(guān)鍵詞］索穹頂結(jié)構(gòu)；Kiewitt型索穹頂；整體自應(yīng)力模態(tài)；預(yù)應(yīng)力優(yōu)化；截面優(yōu)化

Optimal Design of Cable-domes with Multi-overall Selfstress Modes/Chen Lianmeng¹, Dong Shilin², Yuan Xingfei²,Ye Jun²(1 College of Architecture and Civil Engineering, Wenzhou University, Wenzhou 325035,China; 2 Space Structures Research Center, Zhejiang University, Hangzhou 310027, China)

Abstract:A new method which can determine the overall selfstress modes of different kinds of cable strut tensile structures is proposed by using the method of singular value decomposition and considering the symmetry and feasibility of the structure. The Kiewitt dome has multi-independent overall selfstress modes which can′t satisfy the overall feasible conditions. Taking the minimum initial strain of the structure as the objective function of the optimal prestress design and the minimum light of the structure as the objective function of the optimal section design, the optimal initial prestress and section areas have been achieved. The results show that the optimal prestress design and optimal section design are reasonable and effective.

Keywords:cable domes; kiewitt domes; overall selfstress modes; optimal prestress design; optimal section design

*國家自然科學(xué)基金資助項(xiàng)目(50278086)。