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1 Lockheed Martin Aeronautics Company Safe Separation Analysis of the Internal Safe Separation Analysis of the Internal GBU GBU - - 32 JDAM from JSF 32 JDAM from JSF MSC.Software VPD Conference July 17-19, 2006 Chris Hetreed, Monique Purdon, Mary Hudson Lockheed Martin Aeronautics Company Fort Worth, TX

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1Lockheed Martin Aeronautics Company

Safe Separation Analysis of the InternalSafe Separation Analysis of the InternalGBUGBU--32 JDAM from JSF 32 JDAM from JSF

MSC.Software VPD ConferenceJuly 17-19, 2006

Chris Hetreed, Monique Purdon, Mary HudsonLockheed Martin Aeronautics Company

Fort Worth, TX

2Lockheed Martin Aeronautics Company

3Lockheed Martin Aeronautics Company

Stormshadow

GBU-16 Paveway II 1,000-lb LGB(MK-83 Warhead)

AIM-9X Sidewinder

AGM-65 Maverick(If 1760 compliant)

GBU-24/B Paveway III 2,000-lb LGB(MK-84 / BLU-109 Warhead)

GBU-12 Paveway II 500-lb LGB(MK-82 Warhead)

CBU- 87 / 89Cluster Munition

CBU-103 / 104 / 105 WCMD

GBU-32 JDAM 1,000-lb(MK-83/BLU-110 Warhead)

AGM-154 A/C JSOW Glide Bomb

GBU-31 JDAM 2,000-lb(BLU-109 Warhead)

GBU-38 JDAM 500-lb(MK-82 Warhead) AMRAAM C

AIM-132 ASRAAM

Internal Weapons

External Weapons*

GBU-10 Paveway II 2,000-lb LGB(MK-84 Warhead)

MXU-648/CNU-88 Baggage Pod

BDU-57/59/60Laser-Guided Training Round

AGM-158 JASSM

BDU-48 / MK-58

MK-76

MK-82 BLU-111 500-lb LDGP

AGM-88 HARM(If 1760 compliant)

MK-83 BSU-85 HDGP

MK-84 2,000-lb LD/HDGP

MK-82 BLU-111 BSU-49 Ballute500-lb HDGP

Brimstone

GBU-31 JDAM 2,000-lb(MK-84 / BLU-109 Warhead)

AIM-120 C

GBU-12 Paveway II 500-lb LGB(MK-82 Warhead)

InternalGD-425(CTOL)

JDAM PGK (BLU-109 & MK-82)

UK 500# PGB

CBU-99/100 Rockeye II

Cluster Munition

MK-83 BLU-110 LDGP 1,000-lb LDGP

Store Fully Certified During EMD

Missionized Gun Pod{CV / STOVL}

426-Gallon Wing Tank

GBU-31 JDAM 2,000-lb(MK-84 Warhead)

* Including All Internal Weapons

MK-84 BSU-50 Ballute 2,000-lb HDGP

AIM-120B

Phase I SDB

UK 500# PGB

AIM-132 ASRAAM

Brimstone / Joint Common Missile

JCS Threshold Weapon Requirements

DISTRIBUTION STATEMENT A: Approved for public release; distribution is unlimited

4Lockheed Martin Aeronautics Company

Weapons Stations

• Over 18,000 Lbs Ordnance Capacity• Nonpyrotechnic Suspension and Release

11Station 10 9 3 2 1

A/AStore A/A, A/S A/A, A/S A/A, A/S A/A, A/S A/A

300CTOL/CV Weight 2,500 5,000

6

A/S

1,000

8

A/A, A/S

2,500

7

A/A

350

5

A/A

350

4

A/A, A/S

2,500 5,000 2,500 300

STOVL Weight 300 5,000 350 1,000 350 5,000 1,500 3001,5001,500 1,500

DISTRIBUTION STATEMENT A: Approved for public release; distribution is unlimited

5Lockheed Martin Aeronautics Company

F-35 JSF Store Separation Analysis

Objective:Demonstration of the process used by the F-35 JSF Store Separation team to analyze the pre-flight safe separation of the GBU-32 JDAM.

Topics:– Store Separation 3 Step Process– Flowfield Studies: New Grid Collection Methods– In-Bay Aerodynamic Loads Modeling– Innovative Techniques for Database Building, Validation, and

Flight Clearance Envelope Generation– Applying MSC.Adams & VI-AirCraft to Store Separation Applications

6Lockheed Martin Aeronautics Company

JSF Store Separation 3-Step Process

6DOF(ADAMS)GEMD Database

Grid Data

Grid Data=CTS Aero? YN

=CTS Traj?GEMD+6DOF

OKY

N

Miss Distance

6DOF(M,Alt)

Monte Carlo

Step 1: Validation

Step 2: Flight Envelope

Step 3: Parameter Uncertainty

6DOFMiss

DistanceProbability

of Clearance

Flight Clearance Envelope

7Lockheed Martin Aeronautics Company

Flowfield Grid StudiesStandard Grid: Extensive grid used for flowfield analysis

Snowman Grid: New Grid design for improved accuracy and test efficiency

Tilt and Slant SweepsZ Sweep to 25ft or WT limitsCombined pitch and yaw displacements

Large Snowman~170 Points (ZC and YC, combined pitch and yaw)

Central Snowman~18 Points

(ZC, combined pitch and yaw)

8Lockheed Martin Aeronautics Company

Flowfield Grid Studies

CTS TrajectoryCentral SnowmanLarge SnowmanStandard Grid

CTS

Central Snowman

Large Snowman

Standard Grid

Snowman grids transition to a nominal z-sweep between 5-6 ft

10 feet

10 feet 10 feet

Pitch (deg)

ZC (i

n)ZC

(in)

Roll (deg) Yaw (deg)

DY (in)DX (in)

Majority of cases have Minimal Effects on Trajectories near the AC

Sta.8 1KJDAM, Transonic Low Altitude Case

9Lockheed Martin Aeronautics Company

In-Bay Aerodynamic Loads Modeling

• Vacuum– In-bay aero set to zero from

carriage to park• Interp to Zero

– In-bay aero interpolated from park loads to zero at carriage (similar to CTS)

• Interp to Carriage– In-bay aero interpolated from

park loads to carriage loads

• In-Bay Loads– In-bay aero obtained from an

attached loads database

ΔZ Position

ΔΘ Position

STOVL St.8:GBU-32 / St.7:AIM-120C

Data taken at various vertical positions and pitch displacements

10Lockheed Martin Aeronautics Company

Attached Loads

Vacuum

Interp to Carriage

Interp to Zero

10 feet

10 feet 10 feet

In-Bay Aerodynamic Loads Modeling

Attached LoadsInterp to CarriageInterp to ZeroVacuum

Pitch (deg)

ZC (i

n)ZC

(in)

Roll (deg) Yaw (deg)

DY (in)DX (in)

Sta.8 1KJDAM, Transonic Low Altitude Case

11Lockheed Martin Aeronautics Company

In-Bay Aerodynamic Loads ModelingVacuum

Interp to Zero

Interp to Carriage

Attached Loads Vacuum Model

Interp to Zero

Interp to Carriage

Attached Loads

ZC

Miss Distance

Minimal Effects on Trajectories,Miss Distance Plots,

and Clearance Envelopes

Minimal Effects on Trajectories,Miss Distance Plots,

and Clearance Envelopes

• Recommendations– Use attached loads data, if available– Interpolate from park loads to zero

• Leverage modeling/simulation to reduce cost

• No additional attached loads WT testing planned

12Lockheed Martin Aeronautics Company

JSF Store Separation 3-Step Process

6DOF(ADAMS)GEMD Database

Grid Data

Grid Data=CTS Aero? YN

=CTS Traj?GEMD+6DOF

OKY

N

Miss Distance

6DOF(M,Alt)

Monte Carlo

Step 1: Validation

Step 2: Flight Envelope

Step 3: Parameter Uncertainty

6DOFMiss

DistanceProbability

of Clearance

Flight Clearance Envelope

13Lockheed Martin Aeronautics Company

Flight Clearance Envelope

• ASEP High Fidelity Tool– ADAMS (Automatic Dynamic Analysis of Mechanical Systems)

–ASEP (ADAMS Store Separation - customized VI-AirCraft)

• Flight Envelope Simulations

14Lockheed Martin Aeronautics Company

ASEPSubsystem-based Approach

Subsystems Assemblies Simulations

Wheel(s)

Brakes

Hydraulics

Control Laws

Engine

LGR

Wheel

LGR Structure(w/o wheels)

LGR Dynamics(w/ wheels)

Full Aircraft

Wheel/Tire

Steady Axle Load

DropRetract-Extend

•Dyn. Tipback•Taxi & Shimmy•Braking

•Landing•Catapult•In-flight

• full vehicle

• subsystem

• subsystem

• component

Airframe

StoresFull Aircraft Stores •StoreMotion

•Basic In-flight•Full maneuver

•Simulation•Basic In-flight•Full maneuver•Pit ejection

• full vehicle stores

15Lockheed Martin Aeronautics Company

Components Assemblies Tests(Simulations)

SubsystemsTemplates Post-Processing

StandardUser

TemplateBuilder

Customizer

Existing or New ExistingExisting or NewExisting Existing or New

Existing New

New Types New Types New TypesNew TypesNew Types New Types

•parts & joints•oleo•actuators•aero•user-forces•etc.

ASEP Workflow

16Lockheed Martin Aeronautics Company

Flexible Parts:(from NASTRAN / ANSYS)

PistonsSwaybraces

Flexible Connections:Airframe attachmentsReleasable lugsSwaybrace padsPiston/Housing bearings

Friction:Piston/Housing bearingsSwaybrace pads

Freeplay:Piston/Housing bearings

ASEP Templates

17Lockheed Martin Aeronautics Company

Components Assemblies Tests(Simulations)

SubsystemsTemplates Post-Processing

StandardUser

TemplateBuilder

Customizer

Existing or New ExistingExisting or NewExisting Existing or New

Existing New

New Types New Types New TypesNew TypesNew Types New Types

•parts & joints•oleo•actuators•aero•user-forces•etc.

ASEP Workflow

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Library of Subsystems

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Pylon

Bomb

Dual Rack

Airframe

Ejector

Left Ejector

Full-aircraft

Maneuver Test rig

Landing Gear

Other Subsystems

Create Assemblies from Subsystems

Store Assembly Only

Full-aircraft Assembly

Select subsystems duringassembly creation process

Stores Subsystem

Stores Subsystem

Airframe Subsystem

Library ofSubsystems

20Lockheed Martin Aeronautics Company

Assembly & Automated Simulation

• Comprised of rigid and/or flexible subsystems• Ready for automated landing gear and/or store-related simulations

21Lockheed Martin Aeronautics Company

PostProcessing Simulation Results

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JDAM Flight Envelope Simulations

• Miss distances are automatically computed in ASEP’s post-processor

• Need to perform 100+ simulations for each flight envelope

– Repeat the envelope for:• Various G’s• Various +/- Roll rates• Flex/Freeplay, when necessary• Various adjacent stores

23Lockheed Martin Aeronautics Company

STOVL(2) GBU-32 MK-83 JDAM (I) + (2) AIM-120C (I)

Basis for Assessment• CTS: WS-15 data

• Freestream: Boeing large (~1/3) scale

• In-Bay Loads: WS-15 Attached Loads

• Flowfield: WS-15

• CFD: na

• 6DOF: ADAMS (Rigid, no freeplay)

24Lockheed Martin Aeronautics Company

STOVL GBU-32 Envelope0.5g, All Rigid, No Freeplay, 0°/sec Roll Rate

Flight Clearance Envelope

Pitch (deg)

ZC (i

n)

Yaw (deg)

DY (in)DX (in) Time

Roll (deg)

ZC (i

n)

Trajectory

Miss

Miss Distance

25Lockheed Martin Aeronautics Company

STOVL GBU-32 Envelope0.5g, All Rigid, No Freeplay, 25°/sec Roll Rate

Trajectory

Miss

Flight Clearance Envelope

(Nominal)

Pitch (deg)

ZC (i

n)

Yaw (deg)

DY (in)DX (in) Time

Roll (deg)

ZC (i

n)

Miss Distance

26Lockheed Martin Aeronautics Company

Sample Ejector Mech. Differences

• Moving vs. Non-moving swaybraces• Same ejector piston force, aero database, store, maneuver

27Lockheed Martin Aeronautics Company

Sample Flexible Simulations

• Launcher Rail, Aircraft Wing, BRU Attachments, etc.

28Lockheed Martin Aeronautics Company

JSF Affordability is Key

• Fewer store sep flight test points• Increased number of aircraft/stores to certify

• Therefore,–Increased emphasis on:

• Modeling & simulation• Validation• Efficiency

–Pre-flight analysis is critical!

29Lockheed Martin Aeronautics Company

What’s New & Different?

• Flowfield Grid Studies - Uses for the Central Snowman– Exploratory studies to capture separation characteristics– Candidate as a CFD grid

• In-Bay Aerodynamic Loads Modeling– Minimal trajectory and miss distance effects– Use aerodynamic model to reduce testing costs

• Innovative Database Building and 6DOF Tool– Streamline process for building databases– Techniques provide good basis for validating aerodynamic

databases and 6DOF analysis• ASEP 6DOF Tool

– Automation/speed, different user modes, higher fidelity– Quick integration of aero and autopilot modules

30Lockheed Martin Aeronautics Company

QUESTIONS?QUESTIONS?

31Lockheed Martin Aeronautics Company

BackupBackup

32Lockheed Martin Aeronautics Company

Database Validation Techniques

• Flowfield Grid Studies• In-Bay Aerodynamic Loads Modeling• Innovative Tools for Database Building and

Validation– GEMD (General Exchange of Methods and Data)– Automated Database Building Scripts– Wind-tunnel CTS* vs. Database Aerodynamics– Wind-tunnel CTS* vs. Database Trajectories

* CTS – Captive Trajectory System

33Lockheed Martin Aeronautics Company

Flowfield Grid StudiesStandard Grid: Extensive grid used for flowfield analysis

Snowman Grid: New Grid design for improved accuracy and test efficiency

Tilt and Slant SweepsZ Sweep to 25ft or WT limitsCombined pitch and yaw displacements

Large Snowman~170 Points (ZC and YC, combined pitch and yaw)

Taguchi: 18 Select Points

Taguchi Method: Assess grid interpolation errors and define uncertainties in database

Central Snowman~18 Points

(ZC, combined pitch and yaw)

Z-SweepCollection

Method

Z-SweepCollection

Method

Discrete Points Collected like “Pitch-Pause”

Method

Discrete Points Collected like “Pitch-Pause”

Method

34Lockheed Martin Aeronautics Company

Flowfield Grid Studies

• Wind-tunnel test efficiencies~ “X” time units - Standard Grid~ “X”×2 time units - Large Snowman~ “X”÷2 time units - Central Snowman

• Central Snowman Pros/Cons+ Reasonable comparisons with CTS– Discrete data points vs. sweeps

• Less efficient for comparable amounts of data• Relies on linear interpolation in key locations

• Use the Central Snowman grid for exploratory cases and CFD• Prediction errors used in uncertainty analysis

35Lockheed Martin Aeronautics Company

Flowfield Grid StudiesStandard Grid: Extensive grid used for flowfield analysis

Snowman Grid: New Grid design for improved accuracy and test efficiency

Tilt and Slant SweepsZ Sweep to 25ft or WT limitsCombined pitch and yaw displacements

Large Snowman~170 Points (ZC and YC, combined pitch and yaw)

Central Snowman~18 Points

(ZC, combined pitch and yaw)

Taguchi: 18 Select Points

Taguchi Method: Assess grid interpolation errors and define uncertainties in database

• Measured points used to:

• Consider 3-levels of each parameter, unifor

• Full Factorial = 3• Taguchi L18 Array to Select 18 Cases

– Assess interpolation errors between grid collection methods

– Incorporate into uncertainty analysis (Step 3 in the Process)

mly spaced

6 = 729 Cases

••••••

ΔXp = -2, 0, 2 inΔYp = -2, 0, 2 inΔZp = 25, 30, 35 inΔΨ = -3, 0, 3 degΔΘ = -5, 0, 5 degΔΦ = -10, 0, 10 deg

30” from Carriage• ΔXp = -5, 0, 5 in• ΔYp = -4, 0, 4 in• ΔZp = 43, 48, 53 in• ΔΨ = -5, 0, 5 deg• ΔΘ = -10, 0, 10 deg• ΔΦ = -20, 0, 20 deg

48” from Carriage

36Lockheed Martin Aeronautics Company

Uncertainty Bands

Sta.8 GBU-32 (1KJDAM)Error = Measured minus Predicted Data

-0.3

-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

0.2

0.25

0 5 10 15 20 25 30 35 40

Point

DC

N T

aguc

hi -

Grid

Dat

a

Central Snowman

Large Snowman Standard Grid

Flowfield Grid Studies

Step 3:Monte Carlo

Uncertainty Analysis

Snowman vs. Standard Grids produce similar error bands

Some error reduction for Large Snowman

37Lockheed Martin Aeronautics Company

Database Validation Techniques

• Flowfield Grid Studies• In-Bay Aerodynamic Loads Modeling• Innovative Tools for Database Building and

Validation– GEMD (General Exchange of Methods and Data)– Automated Database Building Scripts– Wind-tunnel CTS vs. Database Aerodynamics– Wind-tunnel CTS vs. Database Trajectories

38Lockheed Martin Aeronautics Company

Database Validation Techniques

• Flowfield Grid Studies• In-Bay Aerodynamic Loads Modeling• Innovative Tools for Database Building and

Validation– GEMD (General Exchange of Methods and Data)– Automated Database Building Scripts– Wind-tunnel CTS vs. Database Aerodynamics– Wind-tunnel CTS vs. Database Trajectories

39Lockheed Martin Aeronautics Company

(ft) (ft) (ft)

(ft) (ft) (ft)

Innovative Database Building Tools

Database Scripting Tool (dBST)

Automated Scripts for Generating/Validating

Databases

Database Scripting Tool (dBST)

Automated Scripts for Generating/Validating

Databases

Wind-Tunnel Data Files

Wind-Tunnel Data Files

Templates of Database Functions

Templates of Database Functions

Aerodynamic Databasein GEMD

(General Exchange of Methods & Data)

“Black Box” Object

Aerodynamic Databasein GEMD

(General Exchange of Methods & Data)

“Black Box” Object

GBU-32 CTS Trajectory AeroGBU-32 CTS

Trajectory Aero

GBU-32 Aero Extracted from the Database

GBU-32 Aero Extracted from the Database

What effects do these differences have on trajectories?

40Lockheed Martin Aeronautics Company

6DOF Analysis and Validation

CTS RunADAMS with

CTS Aero

ADAMS with Database Aero

10 feet

10 feet 10 feet

CTS RunADAMS w/ CTS AeroADAMS w/ Database Aero

Pitch (deg)

ZC (i

n)

Roll (deg) Yaw (deg)

DY (in)DX (in)

ZC (i

n)

Sta.8 1KJDAM, Transonic Low Altitude Case

No ejector modeling

CTS motion to EOS

√ Store 6DOF validation

√ Database validation