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Linearization of Aircraft Landing Equations of Motion with Airframe Flexibility Effects
- Terrin Stachiw - Carleton University, Mechanical and Aerospace Engineering, Canada ,
- Fidel Khouli - Carleton University, Mechanical and Aerospace Engineering, Canada ,
- Robert G. Langlois - Carleton University, Mechanical and Aerospace Engineering, Canada ,
- Fred F. Afagh - Carleton University, Mechanical and Aerospace Engineering, Canada
Journal Article
01-15-01-0002
ISSN: 1946-3855, e-ISSN: 1946-3901
Sector:
Topic:
Citation:
Stachiw, T., Khouli, F., Langlois, R., and Afagh, F., "Linearization of Aircraft Landing Equations of Motion with Airframe Flexibility Effects," SAE Int. J. Aerosp. 15(1):19-38, 2022, https://doi.org/10.4271/01-15-01-0002.
Language:
English
Abstract:
The conventional approach in aircraft landing loads analysis, such as for shock
absorber development, is using a nonlinear set of equations and a modal
representation of the airframe. For preliminary shock absorber design studies, a
linearized set of equations may provide a highly efficient simulation method to
limit the parameter space of linear shock absorber models. This article develops
a set of linearized equations of motion to simulate the landing touchdown event
while capturing airframe flexibility effects using a transfer function. The
linearized flexible model demonstrates the ability to generally capture
flexibility effects and output responses of interest with a significantly
reduced simulation time compared to both fully flexible and nonlinear
reduced-order models. The linearization of a Fiala tire model is accomplished by
scaling the longitudinal tire stiffness such that the peak tire drag force
matches that of the nonlinear model, and the vertical tire stiffness is obtained
from a linear regression of a nonlinear vertical force versus deflection curve
through an expected range of tire deflection.