非线性鞍型张拉膜结构气弹模型相似参数分析

Similarity Parameter Analysis of Aeroelastic Model for Nonlinear Saddle Tensioned Membrane Structure

摘要:

以两种具有不同对角高差的鞍型张拉膜结构为研究对象，利用膜结构刚性模型测压试验数据以及非线性风振响应计算方法，通过分析初始找形状态及静力平衡状态下的自振频率、风荷载作用下向上及向下最大位移平均值、均方根值的计算差别，考察了相似参数的简化依据.结果表明：对于没有对角高差的张拉膜结构，弗劳德数相似比不宜超过λ2V/λL=10/4；而对于具有对角高差的张拉膜结构，弗劳德数相似比不宜超过λ2V/λL=20/4；质量系数可以控制在0.8~1.2范围内；弹性模量系数可以控制在0.5~1.5范围内.

Abstract:

Based on the rigid model tunnel test and nonlinear wind induced response calculation method, the vibration frequencies of initial form finding state and static equilibrium state, the upward and downward maximum displacement responses under wind load of two saddle tensioned membrane structures are analyzed to study the simplification of similarity parameters. According to the results, it is proposed that, for the tensioned membrane structures without diagonal height difference, similarity requirement of Froude number should be less than λ2V/λL=10/4; for those with diagonal height difference, similarity requirement of Froude number should be less than λ2V/λL=20/4; the quality coefficient should be controlled in the range of 0.8~1.2; and the elastic modulus coefficient should be in the range of 0.5~1.5.