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Nonlinear dynamic response of a three-dimensional guyed mast

机译:三维桅杆的非线性动态响应

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Guyed masts are examples of structures extensively used in Civil Engineering. During the service life of the structure, the guys tension values can vary due to various circumstances. The consequences can range from operational difficulties to failure of the structure or some of its components. Thus, a study of the sensitivity of the dynamic response of a guyed mast to the initial pretension of the guys becomes relevant. A three-dimensional guyed mast is herein represented by a beam-column and one level of three nonlinear inclined cables, with a prescribed dynamic lateral load acting on the mast. The second order effect of the axial load due the cables pretension on the mast is also considered. The load is designed to avoid resonance effects and meet the maximum displacements limits within the Euler-Bernoulli theory used in the beam-column model. The guys behavior is represented with cable nonlinear equations that account for the extensibility and the initial deformed state due to gravity. The governing system is discretized using finite elements and solved in the time domain through Newmark and Newton-Raphson algorithms. An ad hoc algorithm was developed by the authors as a tool to analyze 3D guyed masts with an arbitrary number of guys and levels of guys. A natural vibrations study shows that a single eigenvalue could be associated to local cable or mast modes or global cable-mast modes, depending on the initial pretension. The displacements of the mast at two strategic points exhibit a rich range of dynamic responses, which can turn from periodic to nonperiodic motions (among other bifurcations) within small ranges of variation of the initial pretension.
机译:令人敬仰的桅杆是土木工程广泛使用的结构的例子。在结构的使用寿命期间,由于各种情况,张力值可以不同。后果可以从操作困难到结构或其一些组件的运行困难。因此,研究了一个人桅杆的动态响应对初始预留的敏感性的敏感性变得相关。三维桅杆在本文中由光束柱和一级三个非线性倾斜电缆表示,具有作用在桅杆上的规定的动态横向载荷。还考虑了由于电缆预紧在桅杆上的轴向载荷的二阶效应。负载旨在避免谐振效果,并满足光束柱模型中使用的欧拉伯努利理论内的最大位移限制。使用电缆非线性方程表示,该电缆非线性方程表示由于重力引起的可扩展性和初始变形状态。管理系统是使用有限元离散化,并通过纽马克和牛顿-Raphson算法在时域中解决。作者开发了一个临时算法作为分析3D带有任意数量的人和家伙水平的桅杆的工具。自然振动研究表明,根据初始预感,单个特征值可以与局部电缆或桅杆模式或全局电缆桅杆模式相关联。桅杆在两个战略点的位移表现出丰富的动态响应范围,这可以在初始预紧的初始变化范围内从周期性转变为非周期性运动(其他分叉)。

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