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A new SSI algorithm for LPTV systems: Application to a hinged-bladed helicopter

机译：LPTV系统的新SSI算法：在铰接叶片直升机上的应用

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摘要

Many systems such as turbo-generators, wind turbines and helicopters show intrinsic time-periodic behaviors. Usually, these structures are considered to be faithfully modeled as linear time-invariant (LTI). In some cases where the rotor is anisotropic, this modeling does not hold and the equations of motion lead necessarily to a linear periodically time-varying (referred to as LPTV in the control and digital signal field or LTP in the mechanical and nonlinear dynamics world) model. Classical modal analysis methodologies based on the classical time-invariant eigenstructure (frequencies and damping ratios) of the system no more apply. This is the case in particular for subspace methods. For such time-periodic systems, the modal analysis can be described by characteristic exponents called Floquet multipliers. The aim of this paper is to suggest a new subspace-based algorithm that is able to extract these multipliers and the corresponding frequencies and damping ratios. The algorithm is then tested on a numerical model of a hinged-bladed helicopter on the ground.
机译：许多系统，例如涡轮发电机，风力涡轮机和直升机，都显示出固有的时间周期行为。通常，这些结构被认为是忠实地建模为线性时不变（LTI）。在某些情况下，转子是各向异性的，这种模型不能成立，运动方程必然导致线性周期性时变（在控制和数字信号领域称为LPTV，在机械和非线性动力学领域称为LTP）模型。基于系统的经典时不变本征结构（频率和阻尼比）的经典模态分析方法不再适用。子空间方法尤其如此。对于这种时间周期系统，模态分析可以通过称为Floquet乘数的特征指数来描述。本文的目的是提出一种新的基于子空间的算法，该算法能够提取这些乘数以及相应的频率和阻尼比。然后在地面上的铰接式直升飞机的数值模型上对该算法进行测试。

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