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Hardening/softening behavior and reduced order modeling of nonlinear vibrations of rotating cantilever beams

机译:旋转悬臂梁的非线性振动的硬化/软化行为和降阶建模

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摘要

This work addresses the large amplitude nonlinear vibratory behavior of a rotating cantilever beam, with applications to turbomachinery and turbopropeller blades. The aim of this work is twofold. Firstly, we investigate the effect of rotation speed on the beam nonlinear vibrations and especially on the hardening/softening behavior of its resonances and the appearance of jump phenomena at large amplitude. Secondly, we compare three models to simulate the vibrations. The first two are based on analytical models of the beam, one of them being original. Those two models are discretized on appropriate mode basis and solve by a numerical following path method. The last one is based on a finite-element discretization and integrated in time. The accuracy and the validity range of each model are exhibited and analyzed.
机译:这项工作解决了旋转悬臂梁的大振幅非线性振动行为,并应用于涡轮机械和涡轮螺旋桨叶片。这项工作的目的是双重的。首先,我们研究了旋转速度对梁非线性振动的影响,特别是对其共振的硬化/软化行为以及大幅度跳变现象的出现的影响。其次,我们比较了三个模型来模拟振动。前两个是基于光束的分析模型,其中一个是原始模型。这两个模型在适当的模式基础上离散化,并通过数值跟随路径法求解。最后一个基于有限元离散化并及时整合。展示并分析了每种模型的准确性和有效性范围。

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