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吴孟瑶¹  ,  宋维举^{1 ,2 , 3}

( 1 .  河北工程大学 土木工程学院 ，邯郸 056038 ;  2.  天津大学 建筑工程学院 ，天津 300072 ;

3 .  华恒建设集团有限公司 ，宁波 315012)

摘   要 ：膜材是一种新型建筑材料，具有自重轻和跨度大等特点。在风荷载的作用下，膜材容易出现显著的形变和振动，可能会与周围空气流场形成“耦合效应 ”，严重时会导致结构失稳 ，进而威胁到建筑物的安全。 为解决上述问题，基于冯卡门大挠度理论和达朗贝尔原理，推导了流固耦合效应下鞍形薄膜结构强非线性振动的控制方程 ，利用伽辽金法获得解析，分析流固耦合作用下风速 、振型阶数 、膜面密度 、初始位移 、预应力、 膜面尺寸和矢跨比等参数，均对鞍形薄膜结构振动特性产生不同程度的影响，进而总结正交异性张拉膜结构在  流固耦合作用下强非线性振动的一般规律，为相关领域的研究与应用提供理论支撑与参考依据。

关键词：薄膜结构 ；正交异性 ；流固耦合 ；非线性振动

中图分类号：TU33            

文献标志码：A           

文章编号： 1005- 8249   (2025)  01- 0105- 08 

DOI:10. 19860/j.cnki.issn1005 - 8249.2025 .01 .020

 

WU Mengyao¹  ,  SONG Weiju^{1 , 2 , 3}

(1 . School of Civil Engineering ,  Hebei University of Engineering ,  Handan 056038 ,  China;

2. School of Civil Engineering ,  Tianjin University ,  Tianjin 300072 ,  China;

3 . Huaheng Construction Group Co. ，Ltd. ，Ningbo 315012 ,  China)

Abstract: Membrane material is a new type of building material, which has the characteristics of light weight and large span. Under the action of wind load, the membrane material is prone to significant deformation and vibration, which may have a "coupling effect" with the surrounding air flow field, and in severe cases, it will lead to structural instability, thus threatening the safety of buildings. In this paper, based on von Karman's large deflection theory and d 'Alembert's principle, the governing equations of strong nonlinear vibration of saddle-shaped membrane structures under fluid-structure coupling effect are derived, and the analytical solutions are obtained by Galerkin method. The parameters such as wind speed, mode order, membrane surface density, initial displacement, prestress, membrane surface size and vector-span ratio under fluid-solid coupling are analyzed, and all have different influences on the vibration characteristics of saddle-shaped membrane structures. Then, the general law of strong nonlinear vibration of orthotropic tension membrane structures under fluid-solid coupling is summarized, which provides theoretical support and reference for research and application in related fields.

Key words: membrane structure; orthotropy; fluid-structure coupling; nonlinear vibration

基金项目：河北省自然科学基金  (E2020402061 ) 。

作者简介：吴孟瑶  (1997—) ,  女 ，硕士研究生 ，研究方向：大跨空间结构。

通信作者：宋维举  (1986—) ,  男 ，博士 ，副教授 ，研究方向：大跨空间结构。

收稿日期：2023 - 08 - 27