Stability analysis of a landing gear mechanism  with torsional degree of freedom

Stability analysis of a landing gear mechanism with torsional degree of freedom

Elmas Atabay

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Dr. Elmas Atabay

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Ibrahim Ozkol

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Istanbul Technical University

Stability analysis of a landing gear mechanism with torsional degree of freedom

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Abstract

In this study, stability of a landing gear mechanism with torsional degree of freedom is analyzed. Derivation of the equations of motion of the model with torsional degree of freedom and the von Schlippe tire model are presented. Nonlinear model is linearized and Routh-Hurwitz criterion is applied. Stability analysis is conducted in the e-v plane for different values of the torsional spring rate c and in the k-v plane for different values of the relaxation length σ and vertical force Fz . Percentages of the stable regions are computed. Effects of the variation of the caster length e, half contact length a and their ratio on stable regions are analyzed. Results and conclusions about the variation of stability are presented and constructive recommendations are given.

References

30 Cites in Article

Reference Format

C Hetreed Preliminary nose landing gear shimmy analysis using MSC ADAMS Aircraft.
J Roskam (2000). Airplane Design, Part IV: Layout of Landing Gear and Systems.
G Nybakken (1973). Investigation of Tire Parameter Variations in Wheel Shimmy.
W Krüger,I Besselink,D Cowling,D Doan,W Kortüm,W Krabacher (1997). Aircraft Landing Gear Dynamics.
E Esmailzadeh,K Farzaneh (1999). Shimmy Vibration Analysis of Aircraft Landing Gears.
G Wood,M Blundell,S Sharma (2011). A Low Parameter Tire Model for Aircraft Ground Dynamic Simulation.
I Besselink (2000). Shimmy of Aircraft Main Landing Gears.
J Maas (2009). A Comparison of Dynamic Tire Models for Vehicle Shimmy Stability Analysis.
E Esmailzadeh,K Farzaneh (1999). Shimmy Vibration Analysis of Aircraft Landing Gears.
Niranjan Sura,S Suryanarayan (2007). Lateral Response of Nonlinear Nose Wheel Landing Gear Models with Torsional Free-play.
S Long (2006). Overview of Aircraft Landing Gear Shimmy Analysis Methods.
N Sura,S Suryanarayan (2009). Lateral stability of aircraft nose-wheel landing gear with closed loop shimmy damper.
W Podgorski (1974). The Wheel Shimmy Problem, Its Relationship to Longitudinal Tire Forces, Vehicle Motions and Normal Load Oscillations.
J Gordon (1977). A Perturbation Method for Predicting Amplitudes of Nonlinear Wheel Shimmy.
J Baumann (1992). Aircraft Landing Gear Shimmy.
G Stepan (1991). Chaotic Motion of Wheels.
I Besselink,A Schmeitz,H Pacejka (2010). An improved Magic Formula/Swift tyre model that can handle inflation pressure changes.
Dénes Takács,Gábor Orosz,Gábor Stépán (2009). Delay effects in shimmy dynamics of wheels with stretched string-like tyres.
D Takacs,G Stepan (2009). Experiments on Quasiperiodic Wheel Shimmy.
Phanikrishna Thota,Bernd Krauskopf,Mark Lowenberg,Etienne Coetzee (2010). Influence of Tire Inflation Pressure on Nose Landing Gear Shimmy.
Phanikrishna Thota,Bernd Krauskopf,Mark Lowenberg (2009). Interaction of torsion and lateral bending in aircraft nose landing gear shimmy.
N Plakhtienko,B Shifrin (2002). On Transverse Vibration of Aircraft Landing Gear.
N Plakhtienko,B Shifrin (2006). Critical shimmy speed of nonswiveling landing-gear wheels subject to lateral loading.
N Sura,S Suryanarayan (2007). Lateral response of nose-wheel landing gear system to ground induced excitation.
Niranjan Sura,S Suryanarayan (2007). Closed Form Analytical Solution for the Shimmy Instability of Nose-Wheel Landing Gears.
V Zhuravlev,D Klimov (2009). The causes of the shimmy phenomenon.
P Thota,B Krauskopf,M Lowenberg (2010). Bifurcation analysis of nose landing gear shimmy with lateral and longitudinal bending.
J Zhou,L Zhang (2005). Incremental harmonic balance method for predicting amplitudes of a multi-d.o.f. non-linear wheel shimmy system with combined Coulomb and quadratic damping.
G Somieski (1997). Shimmy Analysis of a Simple Aircraft Nose Landing Gear Model Using Different Mathematical Methods.
B Chartier,B Tuohy,J Retallack,S Tennant (2011). Tests, Impact, Shock Absorber Landing Gear, Aircraft.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Elmas Atabay. 2012. \u201cStability analysis of a landing gear mechanism with torsional degree of freedom\u201d. Global Journal of Research in Engineering - D: Aerospace Science GJRE-D Volume 12 (GJRE Volume 12 Issue D1): .

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GJRE Volume 12 Issue D1
Pg. 17- 27

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords

criterion Hurwitz mechanism Schlippe torsional

Submission ReceivedDecember 9, 2011
Peer Review Double Blind
Handling Editor
Accepted January 1, 2012
Published January 15, 2012

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v1.2

Issue date

February 25, 2012

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Article Matrices

Total Score: 107

Country: Turkey

Subject: Global Journal of Research in Engineering - D: Aerospace Science

Authors: Dr. Elmas Atabay, Ibrahim Ozkol (PhD/Dr. count: 1)

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Publish Date: 2012 02, Sat

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Total Views: 5584

Total Downloads: 2896

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