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Systematic Simulation Approach to
Aircraft Landing Gear Shimmy
Analysis
2012 Aerospace Users Symposium
Presented By: Patrick McNally
Co-Author: Colin McNally
September 14, 2012
MSC Software Confidential
2012 Aerospace Users Symposium
Agenda
• Introduction of Shimmy Problem
• Two Models for Analysis
• Characteristics of Problem, Models, Method
• Results
• Impact of Results
• Credits
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Introduction of Shimmy
What is Shimmy?
“Shimmy is an oscillatory, combined
lateral and yaw motion of the landing
gear, caused by an interaction
between dynamic tire behaviour and
landing gear structural dynamics”
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Key References for Shimmy Analysis
•
Reference (A)
•
“Modeling and Analysis of a Dual-Wheel Nosegear: Shimmy Instability and Impact Motions”
–
–
G.X. Li, Heroux Inc.
SAE 931402
•
Reference (B)
•
“An Investigation of Landing Gear Shimmy: Tire Models, Tire Test Methodologies, Analysis and Parameter Studies”
–
–
–
John Medzorian
Air Force Research Laboratory
SAE 1999-01-5527
•
Reference (C)
•
“Preliminary Nose Landing Gear Shimmy Analysis Using MSC.ADAMS Aircraft”
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–
Chris Hetreed, MSC.Software
MSC.ADAMS NA User Conference, 2002
References analyze a specific configuration and/or
make limiting assumptions. Our goal is to describe
general techniques.
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Two Analytical Models
For analysis of shimmy
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Two Models for Shimmy Studies
Light Aircraft Nose Gear
Transport Nose Gear
FAR Part 23
Business Jet
Small Military Jet
UAV
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FAR Part 25
Typical Boeing and Airbus aircraft
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Light Aircraft Nose Gear Details
• Effects of layout including
–
–
–
–
Static trail
Cant angle
Upper cylinder length
Lower cylinder length
• Tire effects including
– Choice of tire model
– Relaxation length
– Aligning moment coefficient
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Transport Aircraft Nose Gear Details
• Stiffness effects
– Mounting
– Strut
– Steering
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Key Characteristics of Both Models
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Key Characteristics of Both Models
• Subsystem or System level analysis
• Nonlinear nature of problem
• Parametric construction
• Method of shimmy stimulus
• Detection of shimmy
• Overall process
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Subsystem or System Analysis
• Same gear model can be used in test rig or attached to aircraft
• Mimics physical testing done on test rig or aircraft taxi
• Instrumentation, stimulus, and detection are same
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Parametric Variation
–
Kinematic effects
•
–
Joint compliance
•
•
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Hydraulic system stiffness
Torsional backlash/free play
Flexible components
•
•
•
•
•
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–
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Joint stiffness (through use of bearings)
Free play
Steering compliance
•
•
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Advanced parametrization of model to permit “one click” cant angle and trail length studies
LG Strut Parts
Torque arm
Drag link
Supporting Structure (Subframe)
Bogies/axles
Flexible Bearings
Damping
Friction
Internal dynamic tire states (e.g. Swift, FTire)
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Method of Stimulus
“Pinger” force added to model to push axle laterally
Step function used
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Detection of Shimmy
• Sensor used to detect lateral velocity exceeding a threshold
• Action is to capture the forward velocity when shimmy occurs
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Automation of the Shimmy Analysis Process
Parameter
Variables
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ADAMS + VI-Aircraft
automation
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modeFRONTIER
DOE and
optimization
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Results
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Typical Results – Time Domain
• Time domain plot
• Monitor lateral force
until exceeds threshold
• Determine velocity and
time when threshold has
been exceeded
• Optionally run an
eigenvalue analysis
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Typical Results – Frequency Domain
• Eigenvalue analysis
• Shift to right half plane
when unstable
• Animation confirms
shimmy mode
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Parallel Coordinates
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Scatter Matrix
Parameter
Variables
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ADAMS + VI-Aircraft
automation
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modeFRONTIER
DOE and
optimization
2012 Aerospace Users Symposium
Scatter Matrix – Trail Length Effect
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Impact of Results
• SAE A5 Document
• Upcoming meeting in Bar Harbor, ME
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Summary and Conclusions
• Simulation models used to predict nonlinear behavior such as
shimmy
• Trends of the models used to understand key factors – model
specifics are realistic
• Approach to excite shimmy in simulation is based on physical
testing
• Simulation method is being used to describe general methods
which are used as best practices and should become standard
practices in aircraft development
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Acknowledgements
• Jack Hagelin, Boeing Aircraft Company
• Brandon Wagoner, ESTECO
• Colin McNally, VI-grade
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