Revisiting Convolution Scheme in Bridge Aerodynamics: Comparison of Step and Impulse Response Functions
Revisiting Convolution Scheme in Bridge Aerodynamics: Comparison of Step and Impulse Response Functions
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DOI：
10.1061/(asce)em.1943-7889.0000709
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发表时间：
2014-05
期刊：
影响因子：
--
通讯作者：
Teng Wu;A. Kareem
中科院分区：
文献类型：
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作者：
Teng Wu;A. Kareem
系统地回顾了桥梁空气动力学的两个基本响应特征，即单位阶跃（指示）和单位脉冲响应函数，作为卷积积分的基本构建块。从理论、实验和数值角度对这些基本响应函数进行了比较。从理论上讲，它们的新解释是在桥梁空气动力学的背景下给出的。通过实验，研究了这些基本响应函数应用于桥梁空气动力学的基本机制，例如超调特征以及在阵风和运动引起的力的模拟中的应用。在数值上，通常分别用于间接识别有效单位阶跃和单位脉冲响应函数的指数函数近似和有理函数近似的比较，通过强调相关数学推导中的基础物理来强调。提出了一个大跨度桥梁的数值示例，以证明基于这些数值近似的模拟的保真度。
Two elementary response features of bridge aerodynamics, namely unit-step (indicial) and unit-impulse response functions, as the fundamental building blocks for the convolution integral, are reviewed systematically. The comparison of these elementary response functions was carried out from theoretical, experimental, and numerical perspectives. Theoretically, their new interpretation is given in the context of bridge aerodynamics. Experimentally, the underlying mechanism concerning these elementary response functions as applied to bridge aerodynamics was investigated, e.g., the overshooting feature and the applications to the simulation of gust- and motion-induced forces. Numerically, a comparison of the indicial and rational function approximations, often utilized in the indirect identification of the effective unit-step and unit-impulse response functions, respectively, is highlighted by underscoring the underlying physics in the associated mathematical derivation. A numerical example of a long-span bridge is presented to demonstrate the fidelity of simulation based on these numerical approximations.