A shear–shear torsional beam model for nonlinear aeroelastic analysis of tower buildings

A shear–shear torsional beam model for nonlinear aeroelastic analysis of tower buildings
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用于塔式建筑非线性气动弹性分析的剪剪扭梁模型

DOI:
10.1007/s00033-014-0456-z
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发表时间:
2015
期刊:
Zeitschrift für angewandte Mathematik und Physik
影响因子:
--
通讯作者:
A. Luongo
A. Luongo
中科院分区:
--
文献类型:
--
作者:
G. Piccardo;F. Tubino;A. Luongo

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在本文中,一个等效的一维梁模型沉浸在一个三维空间中,提出了研究塔式建筑物的气动弹性行为:线性和非线性动力学分析通过一个简单的,但现实的物理建模的结构和负载。梁是内部约束的,因此它只能承受剪应变和扭转。通过均匀化处理,从三维框架的离散模型中识别梁的弹性几何和惯性特性。该模型考虑了楼层绕塔轴旋转引起的扭转效应;宏观剪应变是由柱弯曲产生的,伴随着可忽略的楼层旋转。通过准定常理论计算非线性气动力。第一个目的是研究机械和气动耦合对临界驰振条件的影响。此外,气动非线性对驰振过临界行为的作用进行了分析,通过扰动的解决方案,允许获得一个减少的一维动力系统,能够捕捉到的问题的基本动力学。
In this paper, an equivalent one-dimensional beam model immersed in a three-dimensional space is proposed to study the aeroelastic behavior of tower buildings: linear and nonlinear dynamics are analyzed through a simple but realistic physical modeling of the structure and of the load. The beam is internally constrained, so that it is capable to experience shear strains and torsion only. The elasto-geometric and inertial characteristics of the beam are identified from a discrete model of three-dimensional frame, via a homogenization process. The model accounts for the torsional effect induced by the rotation of the floors around the tower axis; the macroscopic shear strain is produced by bending of the columns, accompanied by negligible rotation of the floors. Nonlinear aerodynamic forces are evaluated through the quasi-steady theory. The first aim is to investigate the effect of mechanical and aerodynamic coupling on the critical galloping conditions. Furthermore, the role of aerodynamic nonlinearities on the galloping post-critical behavior is analyzed through a perturbation solution which permits to obtain a reduced one-dimensional dynamical system, capable of capturing the essential dynamics of the problem.