In previous research, a nonlinear analytical solution of the low-order flight system using Volterra kernels in the time domain was developed. In this paper, equivalent analytical solutions using Volterra kernels in the frequency domain is addressed. A two-term truncated Volterra series is developed for first-order and second-order generalized nonlinear single degree of freedom systems. The resultant models are given in the form of first and second kernels in the frequency domain. A parametric study of the influence of each linear and nonlinear term on kernel structures is investigated. Periodic input is then employed to quantify and qualify the nonlinear response characteristics. A uniaxial pitch motion example is presented as a low-order flight dynamic system. This example shows the ability of the proposed analytical Volterra-based model over the analytical linear model to predict, interpret, and analyze the nonlinear behavior.
Analytical Solution of Uniaxial Flight Systems Using Volterra Kernels in Frequency Domain
Journal of Guidance, Control, and Dynamics ; 37 , 4 ; 1080-1090
2014-04-25
11 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Analytical Solution of Uniaxial Flight Systems Using Volterra Kernels in Frequency Domain
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