基于非线性有限元的张拉膜结构找形分析  

FORM-FINDING ANALYSIS OF TENSION MEMBRANE STRUCTURES BASED ON NONLINEAR FINITE ELEMENT METHOD

作　　者：曹原 赵红红 周扬帆 CAO Yuan;ZHAO Honghong;ZHOU Yangfan(Rizhao Municipal Government Service Center,Shandong Rizhao 276800,China;Rizhao City Lanshan District Huangdun Town People's Government,Shandong Rizhao 276800,China)

机构地区：[1]日照市政务服务中心,山东日照276800 [2]日照市岚山区黄墩镇人民政府,山东日照276800

出　　处：《低温建筑技术》2025年第3期50-53,共4页Low Temperature Architecture Technology

摘　　要：文中基于非线性有限元理论介绍了一种张拉膜结构找形的小弹性模量法。采用小弹性模量法对双曲抛物面膜结构进行找形数值模拟分析,讨论了找形后应力分布和位移变化情况。将数值模拟和解析解的结果进行对比,发现采用此方法膜结构找形应力分布均匀,理论值和数值模拟值最大误差为1.636%,在工程允许范围内,表明基于非线性有限元理论的小弹性模量法在张拉膜结构找形数值模拟的准确性和有效性,可为张拉膜结构工程设计和施工提供参考。This study introduces a small elastic modulus method for form-finding of tension membrane structures based on nonlinear finite element theory.The method is applied to a hyperbolic paraboloid membrane structure for numerical simulation analysis,focusing on stress distribution and displacement variations after form-finding.A comparison between the numerical simulation results and analytical solutions shows that the proposed method achieves a uniform stress distribution in the membrane structure.The maximum error between theoretical and numerical values is 1.636%,which falls within the acceptable engineering range.These findings demonstrate the accuracy and effectiveness of the small elastic modulus method in form-finding numerical simulations of tension membrane structures,

关 键 词：非线性有限元 找形分析 小弹性模量法 双曲抛物面膜结构 

分 类 号：TU38[建筑科学—结构工程]