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Boston University

ENHANCED RUNNING PERFORMANCE

LATTICE MIDSOLE DESIGN

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Department of Engineering

Senior Capstone Project

COULD ADDITIVE DESIGN SERVE AS A NEW BRIDGE

BETWEEN CURRENT STANDARDS AND

A BREAKTHROUGH IN MARATHON PERFORMANCE? 

2018-2019

INSPIRATION

Personal Marathon Journey

Industry Pioneers

Senior Capstone Project

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Introduction to

running footwear innovation

Deeper understanding of

Running Biomechanics & Performance Variables

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Inception of additive midsoles

to running footwear

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Capacity for advancement is

expanded with greater fluidity

in midsole arrangement

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Diverted from listed projects to draft our own research proposal 

Granted approval and FormLabs SLA Printer by the department

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Current Limitations 

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In the past 15 years,

only a 2% improvement

in marathon performance

Sub-2 hour time deemed IMPOSSIBLE

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Existing 3D-midsoles designed

for general functionality

No literature on testing towards enhanced performance

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Traditional injection molding

lacks the design variability

 inherent to additive techniques

The Approach

GANTT CHART: DESIGN OPTIMIZATION SCHEDULE

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AIMS

1

Evaluate FormLabs Materials

for foam-like elasticity 

Design lattice structures of

varying form and structure

2

Test the resulting mechanical properties of each prototype

3

Using energy return as the

main performance parameter,

can 3D-structures compete

with that of conventional foam? 

Energy Return

% ENERGY RETURN = 

[ ENERGY RETURNED (J)  /

TOTAL ENERGY STORED (J) ] * 100

Energy return allows greater utilization of

energy per stride, while reducing muscular force

Three main physiological parameters to sustain a high running velocity:

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Principle constraints:

Load Range: 1.5- 2.0kN

Max Deformation: 12mm

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​

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VO2 MAX

LACTATE

THRESHOLD

Similar Among

Elite Athletes

RUNNING

ECONOMY

Average force of landing while running

Based on the behavior of the Nike ZoomX Prototype

Influenced, in part, by the running shoe itself 

Lattice Structures

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Distribute energy more evenly and at a slower rateallowing greater stability

and lower impact 

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PERFORMANCE BENEFITS

The midsole's anatomy

 can now be framed as

an empty SPACE of

infinite design FREEDOM

ALTERED VARIABLES

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HEIGHT

ARRANGEMENT

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BASE GEOMETRY

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BOUNDING BOX

BEAM

THICKNESS

RULE SCALE

Phase 1: Weak Start

Preliminary test prints: fragile and soft

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Initial models broke or passed max deformation

before reaching minimum load of 1.5kn

OPTIMIZATION: BEAM THICKNESS

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P1

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P3

P2

P4

Stage 1: 2.5mm        Too weak

Stage 2: 3-4mm        Improvement but

                                    still insufficient

OPTIMIZATION: ARRANGEMENT

Stage 1

Stage 2

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Side-directed beams

Corner-directed beams

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Phase 2: HEXAGON bounding box

GREATER STRENGTH IS FOUND IN NEW BASE GEOMETRY

yet it remains insufficient

OPTIMIZATION: BASE GEOMETRY

Stage 3: Hexagon-based            Higher strength

                bounding box               but printed too small

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P5

P6

P7

P8

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P9

P10

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Phase 3: thickness gradient

anisotropic beam thickness distribution showcase high energy return and re-scaled models are first to surpass minimum required load

Stage 4:

Scaled P6,P8,P9 models (P11,P12,P13) were the

first to surpassed  minimum peak force

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P11

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P13

P16

P12

OPTIMIZATION: GRADIENT

Stage 4: (P14, P15)

Gradual increase of distributed thickness 

thought to dampen strike and support durability

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P14

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P15

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Models were too weak but displayed the best energy return

out of all prototypes

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Phase 4: peak performance

best performing models were found in the

final phase through a balance of variables

OPTIMIZATION: BEAM THICKNESS & RULE SCALE

Stage 5:

Holding all variables of P11 constant except for its beam thickness (3.5mm), P17 & P18 were changed to 3mm and 3.25 mm, respectively

​

Energy return increased from 72.5% (P11) to

80% (P17) and 81.3% (P18)

PROTOTYPE 18 was ~6% less than the

NIKE ZOOMX PROTOTYPE within the same constraints

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As shown in the last two prototypes, there exists a transition point in which higher rule scale (unit cell size) and thickness actually causes adverse effects on energy return

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BEST PERFORMING PROTOTYPE: P18

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P20

P17

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P19

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Phase 5: FULL MIDSOLE & NEXT STEPS

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THE BEST PERFORMING PROTOTYPE WAS USED

TO GENERATE A FULL MIDSOLE MODEL 

Constructed in halves due to build size limitations of the printer

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Resulting midsole was too dense and

heavy due to faulty distribution of the lattice structure

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Moving forward, improvement lies in further exploring anisotropic arrangements and preserving the tested qualities shown advantageous to energy return,

without compensating a lightweight model

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