Summary
Nonlinearities due to geometric effects, in particular, via angular variables that are not small, are important for aircraft operation. Geometric nonlinearities have a strong effect on the dynamics of the aircraft system under consideration, and they are especially pronounced in aircraft ground operations. As a concrete example we consider here the effect of a non-zero rake angle on the dynamics of a nose landing gear. More specifically, we use tools from bifurcation theory to investigate the stability of the straight-rolling motion during a take-off run.
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References
Dengler, M., Goland, M., Herrman, G.: A bibliographic survey of automobile and aircraft wheel shimmy. Technical report, Midwest Research Institute, Kansas city, MO, USA, (1951)
Pritchard, I.J.: An overview of landing gear dynamics. NASA Technical Reports, NASA/TM-1999-209143, (1999)
Smiley, R. F.: Correlation, evaluation, and extension of linearized theories for tyre motion and wheel shimmy. Report submitted to the National Advisory Committee for Aeronautics, Report 1299, (1957)
Thota, P., Krauskopf, B., Lowenberg, M.: Modeling of nose landing gear shimmy with lateral and longitudinal bending and a non-zero rake angle. Proceedings of AIAA 2008. (2008)
B. von Schlippe and Dietrich, R.: Shimmying of a pneumatic wheel. Report submitted to the National Advisory Committee for Aeronautics, NACA TM 1365, (1947)
Thota, P., Krauskopf, B., Lowenberg, M.: Interaction of torsion and lateral bending in aircraft nose landing gear shimmy. Nonlinear Dyn. 57(3), 455–467 (2009)
Doedel, E., Champneys, A., Fairgrieve, T., Kuznetsov, Y., Sandstede, B., Wang, X.: Auto 97. http://indy.cs.concordia.ca/auto/, May 2001
Guckenheimer, J., Holmes, P.: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer, New York (1983)
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Krauskopf, B., Thota, P., Lowenberg, M. (2010). Geometric Nonlinearities of Aircraft Systems. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_23
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DOI: https://doi.org/10.1007/978-3-642-12110-4_23
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