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Analytical Volterra-based models for nonlinear low order flight dynamics approximation systems

机译：非线性低阶飞行动力学逼近系统的基于Volterra的解析模型

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摘要

Analytical methodology is presented to conduct dynamical assembly of simple low order nonlinear responses for system synthesis and prediction using Volterra theory. The procedure is set forth generically and then applied to several atmospheric flight examples. A two-term truncated Volterra series, which is enough to capture the quadratic and bilinear nonlinearities, is developed for first and second order generalised nonlinear single degree of freedom systems. The resultant models are given in the form of first and second kernels. A parametric study of the influence of each linear and nonlinear term on kernel structures is investigated. A step input is then employed to quantify and qualify the nonlinear response characteristics. Uniaxial surge and pitch motions are presented as examples of the low order flight dynamic systems. These examples show the ability of the proposed analytical Volterra-based models to predict, understand, and analyse the nonlinear aircraft behaviour beyond that attainable by linear-based models. The proposed analytical Volterra-based model offers an efficient nonlinear preliminary design tool in qualifying the aircraft responses before computer simulation is available or invoked.
机译：提出了利用Volterra理论进行系统综合和预测的简单低阶非线性响应的动力学组装的分析方法。一般地阐述该程序，然后将其应用于几个大气飞行示例。针对一阶和二阶广义非线性单自由度系统，开发了一个二元截断的Volterra级数，该级数足以捕获二次和双线性非线性。结果模型以第一和第二内核的形式给出。对每个线性和非线性项对核结构的影响进行了参数研究。然后采用阶跃输入来量化和验证非线性响应特性。提出了单轴喘振和俯仰运动作为低阶飞行动力学系统的示例。这些示例表明，所提出的基于Volterra的分析模型具有预测，理解和分析非线性飞机行为的能力，而非线性行为超出了基于线性模型的能力。所提出的基于Volterra的分析模型提供了一种有效的非线性初步设计工具，可以在计算机仿真可用或调用之前鉴定飞机的响应。

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  • 来源
    《The Aeronautical Journal》 |2012年第1185期|p.1123-1153|共31页
  • 作者

    A. Omran; B. Newman;

  • 作者单位

    CNH-Fiat Industrial Burr-Ridge, Illinois USA;

    Dept of Mechanical and Aerospace Engineering Old Dominion University Norfolk, Virginia USA;

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