slip ratio

Articles, guides, and products tagged "slip ratio" — a combined view of every catalogue resource on this topic.

User guide

Anti-lock braking system (ABS) engineering for e-scooters: longitudinal dynamics, slip ratio λ, modulator architecture, wheel-speed sensors, ECU control loop, and why 8-10-inch wheels require different calibration than motorcycle ABS (Bosch eBike ABS 2018 → Blubrake → Niu KQi 4 Pro 2023 → NAMI Burn-E 2 2024)

Anti-lock braking system (ABS) is a closed-loop service that keeps wheel slip λ = (v − ωR)/v within the peak-friction window (10-20% per Pacejka «Tire and Vehicle Dynamics» 3rd ed. 2012, Butterworth-Heinemann), instead of letting it slide into 100% lockup. The canonical [«Brake system engineering»](@/guide/brake-system-engineering.md) article covers hydraulics, friction materials, and DOT fluids; §8 there mentions eABS in three paragraphs — this deep-dive expands that section into a full 11-section discipline. Why e-scooter ABS is harder than motorcycle: a wheel of radius R=0.1 m vs R=0.3 m for a motorcycle has roughly `(0.1/0.3)² ≈ 11×` less polar inertia `I_w = ½·m·R²`, which means **lockup in <100 ms** from peak-μ instead of ~300 ms on a motorcycle. The modulator needs a higher ECU sample rate and a faster actuator (solenoid valve dump time <15 ms). A wheel-speed sensor (tone ring + Hall-effect) with the same pole count delivers 3× lower absolute frequency at the same linear speed — resolution at 5 km/h requires proportionally more teeth. Control-loop architecture: slip-ratio estimator with reference vehicle speed via select-high (because an e-scooter has no GPS or auxiliary sensor), target slip 10-20% through a PI loop with anti-windup. Industrial implementations: Bosch eBike ABS (launched 2018-08-30, Magura-supplied hydraulic, initially Performance Line CX, now extended across most Bosch motors); Blubrake (Italian startup since 2017, single-channel front-only); Continental Engineering Services CSC-100; **Niu KQi 4 Pro 2023 — the first mass-market e-scooter with factory-fitted ABS** (Bosch supplier, front-wheel single-channel); NAMI Burn-E 2 2024 with ABS option. Test methodology — ECE R78 (UN ECE motorcycle Type Approval), FMVSS 122 (49 CFR 571.122 USA motorcycle), EN 15194 (e-bike type approval, ABS not required), EN 17128 (PLEV — also not required). EU Regulation 168/2013 for the L3e-A1+ motorcycle category >125 cc requires ABS, but PLEV / e-scooter fall outside that category. Cost-benefit: BOM adds 200-400 USD to scooter MSRP. Stopping-distance improvement per Bosch field data: dry tarmac 5-12%, wet tarmac 15-30%. Sources ENG-first (0 RU): Bosch eBike Systems press release 2018-08-30 + product pages; Blubrake whitepapers; Continental Engineering Services portfolio; Niu KQi 4 Pro 2023 launch coverage (Electrek, The Verge); UNECE R78; 49 CFR 571.122; EN 15194; EN 17128; Pacejka «Tire and Vehicle Dynamics» 3rd ed. 2012; Limebeer & Sharp «Bicycles, motorcycles, and models» IEEE Control Systems Magazine 26(5):34-61 (2006); Cossalter «Motorcycle Dynamics» 2nd ed. 2006.

15 min read

User guide

E-scooter tire engineering: contact patch, rolling resistance Crr, Kamm circle, rubber compound, and ETRTO / ISO 5775 / DOT FMVSS 119 / EN 17128 / UTQG standards

Engineering deep-dive into the e-scooter tire subsystem — parallel to the introductory «Suspension, wheels and IP-protection» reference: contact-patch physics (p_infl · A_contact ≈ W_load — hydrostatic balance), rolling resistance (Crr = F_rr / N — 80–90 % from hysteretic loss in viscoelastic rubber, 10–20 % from aero and bearings), Kamm/friction circle (F_lat² + F_long² ≤ (μ · N)² — fundamental simultaneous-grip limit), slip ratio and slip angle plus Pacejka Magic Formula (cornering stiffness Cα with 3–6° peak), hydroplaning physics (Vp = 10,35 · √p — NASA TN D-2056 1963 for aviation tires, ~ 0,5 × NASA-formula realistic for scooter pad geometry), polymer compound composition (NR natural rubber from Hevea brasiliensis, SBR styrene-butadiene 23–40 %, BR butadiene, halogenated butyl IIR/CIIR for tubeless airtight; silica vs carbon black filler with BET surface area + Si69 coupling agent; sulfur vulcanization vs peroxide; Shore A hardness 50–80 + Tg glass transition; magic triangle wet grip ↔ rolling resistance ↔ wear), casing construction (bias-ply 45–60° crossed vs radial 90° + circumferential belt — 30 % bigger contact patch in radial at 22 psi per Schwalbe testing; TPI 60/120/240+, aramid/nylon belt, hookless TSS vs UST), tread patterns (slick / semi-slick / multi-block off-road, evacuation grooves), tubeless sealant chemistry (NR latex + 1,3-propanediol + viscous polymer in Schwalbe DocBlue / Slime / Stan's NoTubes — temperature range −20…+60 °C), and full comparison matrix of ≥8 safety standards (ETRTO Standards Manual 2024 + ISO 5775-1:2023 Part 1 dimensions + DOT FMVSS 119 49 CFR § 571.119 endurance test + UTQG 49 CFR § 575.104 treadwear/traction/temperature + EN ISO 4210-7:2014 bicycle rims/tires test methods + EN 14781:2005 racing bicycle + EN 17128:2020 PLEV § tire pressure marking + ECE R75 Rev 2 motorcycle/L-category + SAE J1100); engineering ↔ symptoms diagnostic matrix; 8-point recap.

18 min read