Parametric Studies on the Relationships of Flutter Derivatives of Slender Bridge(Ⅰ)
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摘要: 在作者先前给出(徐旭,曹志远. 柔长结构气固耦合的线性与非线性气动力学理论.应用数学和力学,2001,22(12):1299-1308.)的柔性结构半解析颤振导数的基础上,研究了桥梁颤振导数之间的内在联系和相互关系,并通过两个具体的桥梁颤振导数的测量试验数据,对其进行了分析验证.同时,也对颤振导数随着桥梁断面的气动中心、转速以及角度变化规律作了参数研究.数据分析的结果不仅验证了前文半解析颤振导数表达式的正确性,也进一步验证了半解析颤振导数之间存在一定的必然联系,同时也表明给出的半解析的颤振导数是适用于流线型断面的桥梁的.Abstract: Based on the semi-analytical flutter derivatives of flexible structure provided by authors(XU Xu, CAO Zhi-yuan. Linear and nonlinear aerodynamic theory of interaction between flexible long structivre and wind, Applied Mathematical and Mechanics, 22(12):1299-1308.),the relationships of the flutter derivatives of slender bridge were investigated, and then their intrinsic relations were validated, by the test data of flutter derivatives of two bridges. The changing of flutter derivatives with the aerodynamic center, notation speed and angles variation were also researched by parametric method. The results not only prove the conectiress of expressions of flutter derivatives given by author, but also indicate that some certain relations exist in them. Tlutirermore, the semi-analytical flutter derivatives are showed to be applicable to the bridge with streamlined cross-section.
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Key words:
- flutter derivative /
- slender bridge /
- parametric analysis
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