索穹顶结构耦合风振研究
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摘要
索穹顶结构除少数几根杆件受压外,其余杆件都处于张力状态,所以充分发挥了钢索的高强特性,且索穹顶结构一般以膜材为覆盖材料,具有自重轻、跨度大及建筑造型自由丰富的特点。由于这种结构同时集新材料、新技术、新工艺和高效率于一体,所以被认为是代表当今国际空间结构发展最高水平的结构形式。索穹顶结构具有如下的特点:跨度及柔性大,低阶自振频率小,非线性特征明显;自振频率密集且相互耦合;空间曲面及绕流特性复杂;膜在风荷载作用下振幅较大,结构场与流体场间的流固耦合效应不可忽略。所有这些特点使得索穹顶结构对风的作用非常敏感,但到目前为止,针对索穹顶结构的抗风分析还很少,而且这些分析都没有充分考虑上述索穹顶结构的受力特点。据此,本文分别采用数值风洞方法及简化气弹力学模型方法对索穹顶结构的耦合风振问题进行了研究,并将求解结果与试验值作了对比。
     第一章在查阅国内外相关文献的基础上,简要回顾了索穹顶结构的发展历史、工程应用及研究现状,并确定了本文的主要研究内容。
     本文第二章总结和推导了大跨度张力屋盖结构体系的气弹模型风洞试验所需满足的相似准则,并对肋环型索穹顶结构气弹模型风洞试验的数据进行了统计和分析。气弹模型风洞试验是对理论分析进行检验的重要依据。
     第三章基于ADINA软件所提供的流固耦合功能采用不同湍流模型对索穹顶结构进行了耦合风振分析。在耦合风振分析中数值风洞方法极具应用前景,但在目前的技术条件下这种方法还存在一定的制约。
     本文第四章推导了索穹顶结构耦合风振分析的简化气弹力学模型。在模型的参数计算上,采用奇点配置法推导了三维情形下结构振动诱导流场附加质量的数值计算方法;联合采用经验模态分解、改进的随机减量法及Hilbert变换对索穹顶结构的气动阻尼进行了识别分析;推导了基于本征正交分解的降阶谱解法。基于简化气弹力学模型的索穹顶结构耦合风振分析结果与试验的对比表明,该方法可以较好地应用于索穹顶结构的耦合风振分析。
     第五章采用简化气弹力学模型耦合风振分析方法对目前两种主要的索穹顶形式——肋环型和葵花型索穹顶结构进行了耦合风振参数分析,根据统计结果研究了位移及内力响应随各种参数的变化规律,并对位移及内力响应风振系数的取值提出了建议。
     论文最后对本文的研究内容及成果进行了总结,并指出了今后的研究方向。
Cable dome is a kind of structure composed of struts in compression and cables in tension, which exerts the cables' high strength property. Besides, it takes the membrane as covering material and has merits such as light weight, large span and free shape of structure. It is integrated with new material, new technology, new craftwork and high efficiency, so it is considered as the highest-level type of structure in the present world. The cable dome has features as follows: long span and high flexibility, small low-order frequency, strong non-linearity, serried and coupled frequency, complicated curved surface and ambient flow. Besides, because of big amplitude of the membrane under wind load, the coupled effect between the structure and the ambient flow should not be neglected. All these features make cable dome a kind of wind-sensitive structure. But unfortunately, there are little analysis on wind resistance of cable dome by now, and all the getatable analysis didn't well consider the features mensioned above. Herein, the article gives a research on the problem of coupled wind-induced vibration of the cable dome based on the method of numerical wind tunnel and the method of simplified aero-elastic model, and compares the analysis results with the test.
     Referring to both domestic and abroad correlative literatures, the first chapter makes a brief review over the developing history, the engineering application and the study status in quo of the cable dome, and make a choice of research direction based on it.
     The aero-elastic wind tunnel model test is an inspecting standard of the theoretical analysis in some way. The second chapter draws a set of conclusions over the similarity criterions that should be complied with in an aero-elastic test of the long-span tension system roof structures. Besides, the chapter gives an ayalysis on the data of a Geiger-type aero-elastic model got in the wind tunnel test.
     Numerical wind tunnel is a kind of potential method in the analysis of coupled wind- induced vibration. Based on the fluid-structure interaction function supplied by ADINA, chapter 3 uses three kinds of turbulence model to analyze the problem of coupled wind-induced vibration of the cable dome, and in this chapter, some current drawbacks are pointed out.
     The 4~(th) chapter of the article derives the simplified aero-elastic model of the cable dome. On the problem of model parameter determination, the singularity distribution method is used to derive the expressions for numerically calculating the added mass arised from vibration of the structure under three-dimensional case; The aero-dynamic damping ratio is identified from the testing data based on the methods of empirical mode decomposition, improved random decrement and Hilbert transformation; The reduced-order spectral representation method is also deduced in this chapter based on the technique of proper orthogonal decomposition. A comparison between the analysis results of simplified aero-elastic model and the testing results show that the method can be well used in the problem of coupled wind-induced vibration of the cable dome.
     In the 5~(th) chapter, a parameter analysis is conducted on two prime types of cable dome---Geiger and Sunflower pattern by the simplified aero-elastic model, the changing laws of displacement and internal force with the parameters are concluded and some advice is given on the value of wind-induced vibration response coefficients.
     Finally, all the achievements accomplished are summarized and some problems for future study are proposed.
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