linear rate

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E-scooter suspension engineering: Hooke's law, hydraulic damping, sag, kinematics, and the EN ISO 8855 / ISO 4210-6 / EN 17128 standards

Engineering deep-dive into the e-scooter suspension subsystem — paralleling the introductory overview “Suspension, wheels and IP protection”: spring physics under Hooke's law (F=-kx, U=½kx², coil k=Gd⁴/8D³n), single-degree-of-freedom dynamics (ω_n=√(k/m), target ride frequency 1.5–3 Hz), hydraulic-damping physics (viscous F=c·v, damping ratio ζ=c/(2√(km)), underdamped/critical/overdamped regimes), full comparison matrix of shock topologies — coil-only (Apollo City Pro, Kaabo Mantis), coil-over-hydraulic (NAMI Burn-E, Wolf King GTR), elastomer (Inokim OXO/OSAP), air-spring, rigid; kinematics — motion ratio (axle travel / shock stroke), leverage curve, linear/rising/falling rate, typical 2:1–3:1; sag setup per Race Tech protocol — static sag 10–15 %, rider sag 25–30 % of wheel travel, L1/L2/L3 averaging method, preload spacer/threaded-collar adjustment; oil viscosity — cSt @ 40 °C vs SAE “wt” nomenclature inconsistency, ISO VG, temperature dependence, 5wt/10wt/15wt cartridge fluid, thermal damping fade; full comparison matrix of safety standards — EN ISO 8855:2011 vehicle dynamics vocabulary (harmonized with SAE J670), ISO 4210-6:2014 bicycle frame+fork fatigue, EN 14781:2005 racing bicycle, EN 17128:2020 PLEV § ‘suspension frame’ definition + impact tests, ECE R75 motorcycle wheel/tyre, FMVSS 122 brake-dive geometry interaction, JIS D 9301 bicycle frame fatigue; integration with geometry (rake/trail/wheelbase) and braking dive; engineering ↔ symptoms diagnostic matrix (wallow / packing / harshness / topping-out / fade); 8-point recap.

18 min read