Shimmy analysis of light weight aircraft nose wheel landing gear

Author:

Giridharan V.,Sivakumar S.

Abstract

This paper presents mathematical modeling and analysis of shimmy oscillations for a light weight airplane single wheel nose landing gear. Shimmy is a self-excited oscillation which occurs usually on the nose wheel landing gear assembly during ground maneuvers which is governed by the dynamic characteristics of the landing gear and tires. Shimmy oscillation may lead to reduce the fatigue life of the landing gear and fuselage structure. So, the study of dynamic response and stability boundaries of landing gear plays crucial role while designing of airplanes. In earlier studies of vehicle shimmy only 3 degrees of freedom (DOF) considered such as torsional mode, lateral bending mode and tire lateral deformation. In this work along with above mentioned DOF, two more additional DOF introduced such as axial vibration of strut and tire in order to include the effect of vertical dynamics on shimmy model. Gyroscopic coupling effect also included in the model to study its influence on shimmy. Analysis carried out to determine critical velocity region for occurrence of shimmy and to investigate the effectiveness of ground unevenness on the landing gear system for two different runway conditions such as flat runway and random roughness runway. The results are more helpful to study significant interaction between the different parameters of landing gear and to represent stability boundaries.

Publisher

JVE International Ltd.

Subject

General Medicine

Reference17 articles.

1. S. Sivakumar, T. Selvakumaran, and B. Sanjay, “Investigation of random runway effect on landing of an aircraft with active landing gears using nonlinear mathematical model,” Journal of Vibroengineering, Vol. 23, No. 8, pp. 1785–1799, Dec. 2021, https://doi.org/10.21595/jve.2021.21915

2. Ijm Igo Besselink, “Shimmy of aircraft main landing gears,” Ph.D. Thesis, Technische Universiteit Delft, 2000.

3. C. Arreaza, K. Behdinan, and J. W. Zu, “Linear stability analysis and dynamic response of shimmy dampers for main landing gears,” Journal of Applied Mechanics, Vol. 83, No. 8, pp. 1–10, Aug. 2016, https://doi.org/10.1115/1.4033482

4. R. Morgan, “Linearization and stability analysis of nonlinear problems,” Rose-Hulman Undergraduate Mathematics Journal, Vol. 16, No. 2, pp. 67–91, 2015.

5. P. Thota, B. Krauskopf, and M. H. Lowenberg, “Shimmy in a nonlinear model of an aircraft nose landing gear with non-zero rake angle,” in 6th EUROMECH (European Mechanics Society) Nonlinear Dynamics Conference, 2008.

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