How analysis & optimization help meet the time constraints in F1 Simon Gardner | Head of Structures Sahara Force Team

Background – Force India

Overall Jordan GP - started with 50 staff in 1991 4 race wins and 3rd in the constructor’s championship

Sahara Force India formula One Team Ltd - October 2007 Dr VJijay Mallya and the Mol Family with Sahara joining in 2010 2 podiums, briefly 2nd 2014.

Now increased to around 380 staff

Aerodynamics 120 staff down at the Wind tunnel 70 design & aero 50 manufacturing Design Office 260 staff at the Head Office 90 Engineers (Various) 90 manufacturing 60 traveling

Sahara Force India Formula One Team

Background – Force India

 MAHPP power unit  MAMG gearbox  SFIF1 is a chassis supplier  Chassis  Bodywork (Aerodynamics surfaces)  Suspension  Braking  Steering

Sahara Force India Formula One Team

Design Process

 Aerodynamic / Tyres / Vehicle dynamic  Design and structural  Meet design and production intent  Running strength  Safety requirement  Regulation  Technical Directives (TDs)  Production  R&D testing (sometimes!)  Testing/Racing Sahara Force India Formula One Team

Aerodynamics

 Restrictions: TFLOPS + wind-on time = 25 Design Considerations

 Aerodynamic  Mass  Stiffness (tyres and handling)  Strength  Time scales  Cost Sahara Force India Formula One Team

Method of achieving these targets

 Testing  History  Experience  Hand calculations  FEA  Analysis  Optimisation PartnershipSahara Force with India Sahara Formula Force One India Team Formula One Team

Optimisation

 Multiple load cases  Complex geometries  Complex lay up

 Topological optimisation  Composite optimisation Sahara Force India Formula One Team

TOPOLOGICAL Sahara Force India Formula One Team

Typical Topological optimsation

 Multiple load cases and defined volume  Stiffness and strength limited Sahara Force India Formula One Team PRINCIPAL ROLL STRUCTURE DESIGN USING NON-LINEAR IMPLICIT OPTIMISATION IN RADIOSS BULK (2011)

 Safety standards within Formula 1 are constantly evolving  Principal roll over bars introduced in 1961  Comply with stringent FIA design limits & strength test  FIA Formula 1 Technical Regs. 15.2 & 17

>70mm Sahara Force India Formula One Team

Topological

Fz = -90kN

Fy = 50kN 1. Linear topology optimisation Fx = ±60kN 2. Manual iteration non-linear analysis Sahara Force India Formula One Team LINEAR TOPOLOGY OPTIMISATION

 Objective: minimise mass  Manufacturing & symmetry constraints  Linear stress limit in design domain

Initial design domain Element density CAD realisation of topology result

~75% MASS REMOVED Sahara Force India Formula One Team

Composite (Free size optimisation) Sahara Force India Formula One Team

Overview of Composite Design

 Composites offer huge flexibility for designing optimised components  Possible design considerations  Material (stiffness and/or strength)  Ply orientation angle  Patch position  Number of plies in a given orientation  Ply stacking sequence  Laminating orthotropic layers makes it possible to tune stiffness & strength into required regions  Lightweight core materials can be used to improve bending performance  Using traditional analysis methods, it is very difficult to obtain an optimum design – too many variables and very time consuming

Sahara Force India Formula One Team

Optimisation Process Summary

HyperMesh Optimisation Set up

OptiStruct HyperView Free Size Optimisation Post Processing

HyperMesh Modify ply shapes

OptiStruct HyperView Size Optimisation Post Processing

OptiStruct Stack Sequence HyperView Post Processing Optimisation Sahara Force India Formula One Team

Composite Optimisation of a Formula One Front Wing (2009)

A front wing typical generates ~30% of an F1 cars total downforce

~6kN total force typically generated

Stiffness can be tailored

Must be lightweight

Comply with stringent FIA deflection limits FIA Formula 1 Technical reg. 3.17.1

The objective of this study was to design a new front wing main plane for the 2008 VJM1 which exceeded the structural performance of it’s predecessor Sahara Force India Formula One Team

F1 Front Wing Design Requirements

The front wing must withstand both aerodynamic loading conditions as well as standard FIA Formula1 Technical Regulations:

Regulation Details 3.17.1 The outer most part of the wing may deflect no more than 10mm when a 500N (2009) load is applied vertically, loaded symmetrically.

3.17.1 The outer most part of the wing may deflect no more than 10mm when a 1000N (2014) load is applied vertically, loaded asymmetrically. Sahara Force India Formula One Team

 Altair Optistruct was used to aid design of the 2008 front wing  Ply boundaries & efficient material orientations identified  Discrete number of plies  Optimised stacking sequence achieved

 The final design met all criteria (within a highly compressed time frame)  The final design was able to:  Meet both the internal and FIA regulation displacements  Improve min. reserve factors  Minimise mass  Meet manufacturing constraints  This method can be applied across the board for all composite components on the car Sahara Force India Formula One Team

Optimisation of a Composite Aerodynamic F1 Rear Wing (2008)

Introduction  The design of the rear wing is critical to the performance of an F1 car  The design must withstand large down forces generated by air flow at high speed  All components must be lightweight but satisfy the strength & stiffness requirements:  Structurally sound  Satisfy FIA regulations  To meet these requirements the rear wing can be constructed from the following layers:  Multiple unidirectional layers  Cloth layers  Lightweight core  The objective of this study was limited to optimising the composite plies in the rear wing end plate and the pillar Sahara Force India Formula One Team

F1 Rear Wing Design Requirements

The rear wing must withstand both aerodynamic loading conditions as well as standard FIA 2008 Formula1 Technical Regulations:

Regulation Details Bodywork may deflect by no more than one degree horizontally when a load of 3.17.3 1000N is applied to its extremities in a rearward direction

The uppermost aerofoil element may deflect no more than 5mm when a 500N 3.17.5 load is applied horizontally

The forward-most aerofoil element lying behind the rear wheel centre line may 3.17.6 deflect no more than 2mm when a 200N load is applied vertically

Bodywork may deflect no more than 2mm vertically when a 500N load is applied 3.17.7 simultaneously to each side Sahara Force India Formula One Team

Results Summary

 Mass in design regions reduced by 15%  Reserve factor under aerodynamic loading improved by 7%  Met required FIA regulations Sahara Force India Formula One Team

 In conclusion  Formula 1 is a fast paced industry requiring quick and accurate solutions

 Altair Hyperworks provides:  Efficient meshing and analysis tools  Optimisation

 The optimisation techniques typically used are:  Topological  Composite

Sahara Force India Formula One Team

Simon Gardner Head of Structures

Sahara Force India Formula One Dadford Road Silverstone NN12 8TJ