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Initial plan
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Commit Edison trajectories for crutch-tip exploration
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Refresh Edison trajectories with full answers, references, and JSON d…
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Add tensegrity crutch-tip conference abstract (crutch-tip-abstract.md)
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Apply Edison peer-review edits to crutch-tip abstract; submit follow-…
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177 changes: 177 additions & 0 deletions crutch-tip-abstract.md
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# Conference abstract — Tensegrity crutch-tip impact absorber

Derived from this PR's Edison literature exploration (`edison-trajectories/01`–`13`)
and kept consistent with the author order / plain-text format established for the
TMS 2027 abstract in #73.

## Submission metadata

- **Venue:** TMS 2027 Annual Meeting & Exhibition — Orlando, FL, March 14–18, 2027.
- **Target symposium:** *Biomedical Materials and Devices: From Laboratory to Market*
(best fit for the clinical-motivation + device-demonstrator + FDA Class I / ISO 11334-1
+ commercialization story). Backups: *Additive Manufacturing and Innovative Feedstock
Processing for Multifunctional Materials*, then *3D Printing of Scaffolds and Porous
Materials*. Note: the AM/AI-methods symposia (*Additive Manufacturing Modeling,
Simulation, and AI…* / *AI-Enabled Materials Processing…*) are the home of the sibling
methods abstract in #73 — keep this application abstract in the biomedical track to
avoid self-competition.
- **Format:** plain-text, ≤150 words (TMS limit).
- **Presentation preference:** oral (poster acceptable).
- **Materials as converged in-project:** rigid **PETG** + elastomeric **TPU 95A**, multi-material FFF (Bambu H2D).
- **Edison peer review (trajectory `06`, task `74ac013b…`) applied** — retitled to *Impact
Attenuation* (vibration/HAVS deferred to future work: no study yet quantifies vibration
transmissibility through a crutch tip); `0.5 BW` qualified to partial-weight-bearing gait
(swing-through hand loads run 1.14–3.36 BW); damping re-attributed to TPU viscoelastic
hysteresis (tensegrity supplies the load-limiting plateau, not rate-dependence);
`confirms`→`found no`, `is clear`→`anticipated` + 21 CFR 890.3790; `severely limits`→
`constrains`; `high rates`→`substantial`. Remaining fact-checks resolved in Edison
trajectories `07`–`08`.
- **Edison organizer-persona mock review (trajectory `09`, task `6e00f3ca…`) applied** —
a mock program-committee pass in the voices of the four TMS 2027 *Biomedical Materials
and Devices: From Laboratory to Market* organizers (Bandyopadhyay, Sachdev, Rodgers,
Bose); overall *borderline / weak accept*, verdict *submit-with-substantial-revisions*.
Its top scope-fit lever — **foreground the closed-loop Bayesian-optimization / AI-driven
design angle** — is now applied: retitled to lead with *Closed-Loop Bayesian
Optimization* and the method sentence now opens with the BO framework (the symposium
explicitly calls for AI/ML in biomedical-device manufacturing). Also softened the
prior-art claim (acknowledging US 11,712,394 B1 and other shock-absorbing ferrule prior
art rather than implying a technological vacuum); narrowed novelty to `no
tensegrity-based crutch-tip absorber` (tensegrity impact structures exist elsewhere);
reframed the regulatory line to `an anticipated Class I pathway … and ISO 11334-1
framework guide verification`; and added a lab-to-market clause (`crutch abandonment
exceeds 30%, motivating distributed, patient-tunable manufacturing`).
- **No measured performance numbers yet — the abstract names the benchmark to *exceed*, not a
placeholder.** We do not yet have measured SEA / peak-force-reduction values, and (per the
Jul 1 2026 request, with the abstract due that night) we deliberately avoid a bracketed
placeholder. The abstract states the control we intend to beat: a conventional rubber
ferrule that provides **negligible energy absorption** (deforms <1.3 mm under 445 N,
transmitting essentially all applied load; trajectory `07`). *Round-2 note:* the earlier
">95% of applied load" wording was **softened to "negligible energy absorption"** because
all four round-2 mock reviewers (trajectories `10`–`13`) flagged the exact ">95%" figure as
unsourced — it is a physically defensible engineering estimate, not a cited measurement.
For context, miniaturized architected TPU / multi-material absorbers report **SEA ≈ 1–8 J/g**
(trajectory `07`), the performance envelope we are targeting. Replace with our measured value
once quasi-static/drop-weight tests are run.
- **Edison round-2 organizer-persona mock reviews (trajectories `10`–`13`, low-effort
`LITERATURE`, one per organizer) applied.** Four separate in-voice reviews from
Bandyopadhyay (`10`), Sachdev (`11`), Rodgers (`12`), and Bose (`13`); all four scored the
abstract **borderline / weak accept** with fit-to-scope as the main risk. Consensus edits
now applied: (a) softened the rubber-ferrule baseline (all four); (b) added **cyclic gait
loading** to the optimization objectives, signalling fatigue/durability awareness over
10⁵–10⁶ gait cycles (Sachdev, Bandyopadhyay, Bose); (c) tightened the regulatory line to
**510(k)-exempt Class I … and design controls guide translation** (Rodgers). *Kept
deliberately:* the **21 CFR 890.3790** code — Rodgers (the Zimmer Biomet device-regulatory
persona) verified it correctly covers cane/crutch/walker tips and pads as Class I, contra
Sachdev's concern that it is cane-only; and **"crutch abandonment exceeds 30%"** — Rodgers
verified this against Sugawara 2018 (crutch abandonment = 31.43%), overriding the three
reviewers who could not locate the source in a low-effort search. **Q&A prep from round 2:**
each organizer's most-likely podium question — PETG–TPU interface integrity / functionally
graded transition (Bandyopadhyay); fatigue life & FFF anisotropy over gait cycles (Sachdev);
intended-use scope creep into a Class II 510(k) if therapeutic injury-prevention claims are
made (Rodgers); skin-contact biocompatibility, wear-debris/particulate shedding, and ISO
10993-5 cytotoxicity of as-built PETG/TPU (Bose). All four also recommend framing the talk as
a **generalizable closed-loop AI/ML-to-market pipeline** with the crutch tip as a low-risk
demonstrator — the title already leads with the BO method to support this.
- **Pipeline framing carried into the body + implant-motivation bridge added (this revision).**
Per maintainer request, the "generalizable closed-loop AI/ML-to-market pipeline, crutch tip
as low-regulatory-risk demonstrator" framing is now stated explicitly in the **abstract body**,
not only the title: sentence 2 opens with *"a generalizable closed-loop, multi-objective
Bayesian-optimization pipeline for multi-material additive manufacturing, using the crutch-tip
impact absorber as a low-regulatory-risk demonstrator,"* and the regulatory sentence now closes
on *"let us mature the design-to-market loop."* A closing sentence adds the **implant-transfer
motivation** the symposium (implant-heavy: named challenges include *fatigue resistance of
additively manufactured metallic implants* and *anisotropy of AM materials*) rewards:
*"This architected-lattice, multi-material framework transfers to higher-stakes additively
manufactured implant lattices, where fatigue resistance and stress-shielding mitigation
dominate."* The transfer target uses **non-PLA+TPU materials** (e.g., Ti-6Al-4V / tantalum
metallic lattices, Mg/bioceramic scaffolds) — see the implant-bridge evidence bullet below.
To stay within 150 words (now 148), the standalone *"crutch abandonment exceeds 30%"* clause was
dropped; that lab-to-market signal is retained in the evidence base and the implant-transfer
sentence is the stronger scope-fit lever for *this* (implant-focused) symposium.

## Title

**Closed-Loop Bayesian Optimization of Multi-Material 3D-Printed Tensegrity Crutch-Tip Impact Absorbers**

## Authors

Marcus Madsen\*, Audrey Christiansen\*, Jinkwan Han\*, Jeffrey R. Hill† (presenting), Sterling G. Baird†

Department of Mechanical Engineering, Brigham Young University, Provo, UT

\* equal contribution &nbsp;·&nbsp; † equal contribution

## Abstract (150 words)

Long-term crutch users load each crutch to ~0.5 body weights during
partial-weight-bearing gait and suffer substantial upper-extremity overuse
injury, yet commercial tips predominantly use rubber ferrules, while spring
dampers add bulk without architected tunability. We present a generalizable
closed-loop, multi-objective Bayesian-optimization pipeline for multi-material
additive manufacturing, using the crutch-tip impact absorber as a
low-regulatory-risk demonstrator. Pairing rigid PETG struts with elastomeric TPU
in tensegrity-inspired lattices, we co-optimize unit-cell topology, strut
diameter, relative density, and prestress—exploiting buckling-induced
load-limiting plateaus and viscoelastic hysteresis—to maximize specific energy
absorption and minimize peak force under quasi-static, impact, and cyclic gait
loading, aiming to exceed a rubber ferrule's negligible absorption. Prior-art
review identified no tensegrity-based crutch-tip absorber; an anticipated
510(k)-exempt Class I pathway (21 CFR 890.3790) and ISO 11334-1 verification let
us mature the design-to-market loop. This architected-lattice, multi-material
framework transfers to higher-stakes additively manufactured implant lattices,
where fatigue resistance and stress-shielding mitigation dominate.

## Evidence base (for reviewer questions / longer versions)

- Peak vertical GRF ≈ 0.5 BW per crutch is a partial-weight-bearing figure
(Chamorro-Moriana 2016); swing-through gait drives hand loads of 1.14–3.36 BW and
axillary-crutch GRF ~25% above normal gait (`06`, Orishimo 2021) — hence the qualified
wording. Spring-loaded designs cut GRF rise rate ~33% / early impulse 13–26% (`01`).
- Substantial upper-extremity overuse burden: 80% entrapment-neuropathy prevalence in
polio survivors (cane/crutch OR 6.2–13.7), plus documented crutch palsy, impingement,
and CTS (`02`, `06`; Tsai 2009, Manocha 2021).
- No prior art applies tensegrity to crutch tips; buckling tensegrities give a
load-limiting *plateau* with <0.2% residual strain/impact, while dissipation is driven by
TPU viscoelastic hysteresis rather than a tensegrity-specific rate-dependent mechanism
(`01`, `06`; Pajunen 2019).
- FDA Class I under 21 CFR 890.3790 (generally 510(k)-exempt), ISO 11334-1 performance
standard (`06`; Mottaghi 2025). Prior art richer than "rubber-or-springs" — spring,
bellows, gas-spring, and viscoelastic ferrules exist (US11712394B1, `06`).
- PETG/TPU FFF engineering data and a starting Bayesian-optimization design space in `04`.
- **Benchmark-to-exceed basis (`07`):** a solid rubber ferrule deforms <1.3 mm under 445 N and
transmits >95% of applied load (essentially no shock absorption) — this is the control the
abstract names as the bar to beat. For context, miniaturized architected TPU / multi-material
absorbers report SEA ≈ 1–8 J/g, defining the performance envelope we target; a ~30–60%
peak-force reduction versus the rubber baseline is the internal design goal, stated in the
abstract as "exceed a rubber-ferrule baseline that transmits over 95% of applied load" rather
than a specific unmeasured number. Replace with our measured value once tests are run.
- **Honest gaps to acknowledge in Q&A (`08`):** no high-cycle (10⁵–10⁶) fatigue data exist
for *any* co-printed rigid/soft polymer interface, and PETG–TPU mode-I toughness is
un-measured — interfacial delamination is the dominant risk; a bare glassy PETG lattice
will not meet a COF ≥ 0.4 traction threshold, so a co-printed TPU tread is needed; and no
study quantifies vibration/HAVS transmissibility through a crutch tip (crutch impact is a
~1–2 Hz transient, unlike sustained HAVS vibration) — hence the impact-only framing.
- **Lab-to-market hooks (`03`, `05`, `09`):** crutch/assistive-device abandonment ≈ 31%
(Sugawara 2018) and desktop FFF enables distributed, patient-tunable point-of-care
manufacturing (Mottaghi 2025) — the basis for the closing translational clause.
- **Implant-transfer bridge (motivation for an implant-heavy symposium).** The framework is
material- and length-scale-agnostic — the crutch tip is a fast, cheap, external, Class I
*demonstrator* for a closed-loop, multi-objective BO loop over multi-material architected
lattices whose methodology (and by-products: dissimilar-material interface toughness maps,
buckling energy-absorption/force-plateau surfaces, BO sample-efficiency for lattice design)
transfer to higher-stakes **implantable** devices using materials *other than PLA+TPU*:
(1) **AM metallic implant lattices** (Ti-6Al-4V, tantalum) tuned to bone-like modulus to
mitigate stress shielding — where *fatigue resistance of AM metallic implants* and
*minimizing AM anisotropy* are named TMS-2027-symposium challenges; (2) **functionally
graded / multi-material implants** (the rigid+compliant co-optimization maps directly onto
graded-stiffness interfaces — Bandyopadhyay's FGM/multi-material-AM wheelhouse); and
(3) **biodegradable-metal (Mg) and bioceramic/calcium-phosphate scaffolds** where pore
architecture governs both mechanics and osseointegration (Bose/Bandyopadhyay wheelhouse).
The crutch tip lets the closed-loop design-to-market pipeline be validated at low regulatory
risk *before* it is applied where clinical and 510(k)/PMA cost is high — the "lab-to-market"
arc the symposium is built around. Framed as motivation/transfer only; no implant work is claimed here.
- **Scope-fit / organizer-persona review (`09`):** foreground the closed-loop BO / AI-driven
design methodology (the symposium's AI/ML-in-manufacturing theme is the strongest hook);
likely organizer questions center on PETG–TPU interface integrity (Bandyopadhyay),
fatigue/durability over gait cycles (Sachdev), design controls / FDA classification of a
novel insert (Rodgers), and skin-contact biocompatibility / wear debris (Bose).
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