HTC10 Sikorsky Bruce Hansen

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    Copyright 2006 Altair Engineering, Inc. All rights reserved

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    S92 Gearbox OptimizationHyperWorks Technology Conference 2010

    Bruce Hansen Sikorsky Aircraft

    Philip Kosarek Altair ProductDesign

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    H-60 BlackHawk Transmission System

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    S-76 Transmission System

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    S-92 Gearbox Optimization

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    Project Overview

    S-92 Gearbox Optimization Objective

    Substitute Aluminum for Magnesium in the S-92 gearbox with theoverall goal a weight neutral change. This investigation is to address

    marine air corrosion and frequent maintenance intervals for the currentMagnesium design on production aircraft.

    2-Phase Optimization Approach

    The first phase was considered a Proof-of-Concept phase, and theproblem statement was kept simple. Optimization was conducted toenhance the stress performance of the housing without furtherincreasing the weight of the baseline Aluminum design.

    The second phase was to design a minimum-weight aluminum housing

    with fatigue performance that is better or equivalent to that of thebaseline Magnesium design. In order to keep optimization simple, the

    ratio of max/yield was used as a basic measure of fatigue. The secondphase is documented in this presentation though both phases follow asimilar approach.

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    Project Overview (cont.)

    Optimization Methodology

    FE Model Setup Loadcase Details

    Baseline Results Topology Optimization Design Interpretation Free Shape Optimization

    Final Design

    Analytical Model Solver Details

    Baseline Analysis & Design Validation

    Nonlinear analysis including contacts employing 2nd order elements(C3D10M) using ABAQUS

    Optimization Linear analysis employing 1st order elements using OPTISTRUCT

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    Frame fixed aroundthe perimeter

    4 attachments ofmiddle housing tothe frame

    6 attachments ofmiddle housing tothe input housing

    6 attachments of

    middle housing tothe output housing

    Frame material:

    Aluminum A357

    Housing material:

    Magnesium AZ91E

    Aluminum A357

    Output Gear Box

    Input

    Gear Box MiddleGear Box

    FE Model Setup

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    Bearing loads

    Input Housing Output Housing

    Loadcase Details

    Radial and axial bearing loads (suppliedby Sikorsky) applied in a local cylindricalcoordinate system.

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    Magnesium Aluminum

    Baseline Results

    Input Housing

    Middle Housing

    Output Housing

    Input Housing

    Middle Housing

    Output Housing

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    Objective: Minimize strain energy of the Aluminum gear box assembly

    Constraint: Total mass of the three Aluminum gear boxes 18.9 lb

    Design Space Non-design Space

    Input Housing Middle Housing Output HousingBaseline MG: 3.9 lb Baseline MG: 7.6 lb Baseline MG: 7.3 lb

    Baseline AL: 5.9 lb Baseline AL: 11.5 lb Baseline AL: 10.9 lb

    Topology Optimization

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    Topology Optimization Results

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    ReduceFlangeThickness

    Interpreted Design AL (4.682 lb)

    ReduceWallThickness

    Scallop Flange

    ReduceRibThickness

    Baseline Interpreted Design

    AddPocket

    Input Housing:

    Baseline MG: 3.951 lbBaseline AL: 5.927 lb

    Int. Design AL: 4.682 lb

    Topology Load Path(Conceptual Design)

    Design Interpretation

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    Interpreted Design AL

    (5.526 lb)

    ReduceWallThickness

    Add Pocket

    Trim / RemoveRibs

    ReduceWallThickness

    Baseline Interpreted Design

    Topology Load Path

    (Conceptual Design)

    Output Housing:Baseline MG: 7.269 lb

    Baseline AL: 10.903 lbInt. Design AL: 5.526 lb

    Design Interpretation (cont.)

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    Interpreted Design Evaluation

    Input Housing Output HousingMiddle Housing

    Generate FEA models of the interpreted design andevaluate radial and axial bearing loadcase.

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    Design Space

    Similar free shapeoptimization wasperformed on these areas

    Objective: Minimize strain energy of theAluminum gear box assembly (input housing,center housing, and output housing).

    Constraint: Scaled local stress ratio 0.8

    Design Space

    Free Shape Optimization

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    Baseline Design

    Interpreted Design

    Final Design

    Middle Housing:

    Baseline MG:7.671 lbBaseline AL:11.508 lbInt. Design AL: 8.512 lb

    Final Design AL: 8.532 lb

    Final Design

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    Output Housing:

    Baseline MG: 7.269 lbBaseline AL: 10.903 lbInt. Design AL: 5.526 lbFinal Design AL: 6.257 lb

    Baseline Design Final DesignInterpreted Design

    Final Design (cont.)

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    InterpretedDesign

    Final Design

    Final Design (cont.)

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    max : Maximum Von Mises Stress (elements attached to rigids excluded)yield : Yield stress

    * In order to have a balance between weight reduction and performance, the finaldesign of the output housing was targeted to a similar stress ratio as the inputand middle housings.

    Results Summary

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    S-92 Gearbox Optimization

    31% reduction in mass over directly substituting aluminum into

    the existing design. Increased durability, reduced maintenance and downtime

    Savings in design cycle times

    Typical manual optimization process ~ 6 months

    S-92 Gearbox Optimization ~ 1 month Method viable for wide range of helicopter systems