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首页> 外文会议>American Helicopter Society aeromechanics specialists meeting (Aeromechanics 2000) >Generalization of the Axial Elongation Variable Using the Mixed Finite Element Method
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Generalization of the Axial Elongation Variable Using the Mixed Finite Element Method

机译：轴向伸长变量的混合有限元方法推广

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摘要

The axial foreshortening offcel, plays a key role In rotor blade dynamics, but, approximating it, accu rately in modal space has long posed a difficult problem for analysts. These diffnlt ies are illustrated by examining the modal reduction accuracy of several blade analysis formulations. Tt is shown that classical, displacment-based finite elements are ill-suited for rotor blade analysis because they can't accu rately represent the axial strain in modal space, and that this problem may be solved by employing the axial force as a variable in the analysis. Tt, is shown that the mixed finite clement, method is a convenient means for accomplishing this, and the derivation of a mixed Unite element for rotor blade analysis is outlined. A shortcoming of the mixed finite element method is that is that it increases the number of variables in the analysis. Tt is demonstrated tliat this probleui may be rectified by solving for 1,1k1 axial displacements in terms of the axial forces and the bending displacements. Effectively, this procedure constitutes a generalization of the widely used axial elongation variable to blades of arbitrary topology. Tlie procedure is developed first for a single element, and then extended to an arbitrary assemblage of beam elements, and then to a, plate bending example.
机译：轴向节距偏移在转子叶片动力学中起着关键作用，但近似地，模态空间中的精确偏移长期以来一直为分析人员提出了一个难题。通过检查几种叶片分析配方的模态折减精度可以说明这些差异。 Tt表明，传统的基于位移的有限元不适合进行转子叶片分析，因为它们不能准确地表示模态空间中的轴向应变，并且可以通过将轴向力用作变量来解决此问题。分析。 Tt显示混合有限元方法是实现此目的的便捷方法，并概述了用于转子叶片分析的混合Unite元素的推导。混合有限元方法的一个缺点是它增加了分析中变量的数量。可以证明，通过解决轴向力和弯曲位移中的1,1k1轴向位移，可以纠正这一问题。有效地，该过程构成了广泛使用的轴向伸长率变量对任意拓扑结构叶片的概括。首先针对单个元素开发此过程，然后将其扩展到梁单元的任意组合，然后扩展到板弯曲示例。

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