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1 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. J. Scott Owens (ATK Advanced Weapons/WV) August 29, 2011 Modeling & Simulation Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode

Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

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Page 1: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

1 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

J. Scott Owens (ATK Advanced Weapons/WV)

August 29, 2011

Modeling & Simulation

Gun Launch Dynamics & Aeroballistic

Analysis via Onboard Laser Diode

Page 2: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

2 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Outline

• Background/Need

• Concept

• Implementation

• Range Setup & Options

• Data Acquisition & Post Processing

• Aerodynamic Coefficients

• Summary

Page 3: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

3 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Background - Aeroballistic Analysis

• Early insight into gun launched dynamics (tip-off rates, direction, first max

yaw angle, body motion) is critical to precision weapon development

• Gun Launch disturbances have a large effect on dispersion & guidance

• Unexpected large tip-off rates

• Requires instrumented rounds (D-Fuze) or ranges (Spark Range, Yaw Cards)

• Characterizes body motion during gun travel, muzzle egress and flight

• Aerodynamic analysis can also take time and be costly to program efforts

if not planned for within program scope

• Wind Tunnel Testing (model and tunnel facility costs ~$100K-$200k)

• CFD Analysis (time consuming and not always accurate)

• Spark Range Testing (facility cost, duration)

• Flight Testing / Data Analysis (range and onboard instrumentation cost)

Page 4: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

4 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Onboard Laser Diode (OnLaD)

• How can we quickly obtain gun launch dynamic information?

• Onboard Laser Diodes……

• Retrofit a small caliber bullet or large caliber projectile with a “laser pointer”

• Requires a simple machining process to mount hardware (longitudinal alignment is key)

• Motion of projectile will be emitted onto witness plate(s)

• By simply recording the image(s) we can rapidly obtain launch dynamics

• Angular motion, alpha, beta

• One step further – Aerodynamic Analysis

• Add Radar for time and position

• Record meteorological data

• Develop and include a post-processor

• Utilize spark range and yaw card data reduction techniques to determine aerodynamics

Page 5: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

5 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Testing Benefits

Like Spark Range and Yaw Card Testing, Advantages Are:

• Actual Testing Conditions

• Full scale projectile

• Actual Reynolds Number

• Real time body motion

• Low Cost & Effective Solution

Page 6: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

6 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Laser Diode Mounted to:

Small or Large Caliber Rounds

0.50cal bullet

105mm Round

Page 7: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

7 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Miniature Diode Emits Trace of Projectile Motion

Trajectory

Rotated View of Witness Plate

Witness Plate

Page 8: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

8 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Varying Levels of Test Instrumentation

Gun

0 m

MET Station

~150m

Ground Met

•Air Temp

•Relative Humidity

•Dew Point

•Wind Direction

•Wind Speed

Optional Gun Instr.

•Piezoelectric Chamber

•Piezoelectric Breech

•Piezoelectric Muzzle

Optional Downrange Radar

•Compliments aeroballistic

analysis

• Muzzle velocity

• Range velocity

• Time

• Distance

T0

Target Cam #2

Witness Plate Witness Plate

Target Cam #2

Hi-Speed

Camera

(optional)

~75m

Data Acquisition

Imaging Device

Imports/Stores Data from

Witness Plate(s)

Post Processor

Quick-look:

Alpha & Beta vs. time

Additional Processing:

CX, CN , CM , CMq, Cl,

Clp, CNP , etc…

If light source is sufficient the range

can either be indoors or outdoors

Page 9: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

9 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Data Acquisition Plots (Rapid Return/Simple

Instrumentation)

Use of OnLaD, Witness Panel(s), Hi-Speed Camera(s), and minimal

data acquisition allow the projectile motion to be captured. This

permits a quick, cheap and effective method to determine:

•Max Tip-Off Angle

•Tip-Off Direction

•Does Body Motion Grow?

Page 10: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

10 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Coupling with Radar Data

Use of Radar Provides

Velocity & Positional Data:

•Tip-Off Rates (q, r)

•Roll Rate, p (via asymmetric

optic shape , , etc..)

•Pitch Damping, Cmq

•Etc…

Page 11: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

11 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Adding In Post Processing Capability

Aero Coefficients

CX, CN , CM , CMq, Cl, Clp, CnP , Slow & Fast Damping Factors

Data Acquisition

Radar/Range Data

Meteorological Data Projectile Properties

Linear Theory

Simulation – 6DOF

Iterative Fitting

Process

Page 12: Modeling & Simulation Gun Launch Dynamics & Aeroballistic ... · Gun Launch Dynamics & Aeroballistic Analysis via Onboard Laser Diode 2 Approved for Public Release, OSR #11 -S 2962,

12 Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable.

Approved for Public Release, OSR #11-S-2962, dated 7/21/11, 22 CFR 125.4(b)(13) applicable. Summary

• Miniature laser diodes are cheap (<$200-$300)

• Test units, specifically small caliber bullets, are cheap and easy to retrofit

with OnLaD

• Test range can be an enclosed tunnel (spark range with reduced

instrumentation) or an open range (light source must accommodate) to

reduce facility cost

• Development of data acquisition & post processor is an upfront

cost/investment

• Companies such as ArrowTech & Aberdeen Research Laboratory have extensive

experience and robust post processing techniques

• Range instrumentation dictates level of data post processed

• Gun launch dynamics easily obtained

• Aerodynamic coefficients obtained via addition of radar

• Low cost method to quickly determine flight characteristics up front