CVT Shifting Dynamics Explorer

Carbone, Mangialardi, Bonsen, Tursi & Veenhuizen (2007) — Eq. 23

Input Parameters
Speed ratio s = RDR/RDN 1.00
Primary speed ωDR 1000 rpm
Driven clamping SDN 20 kN
Driver clamping SDR 20 kN
Computed Quantities
Deformation Δ 1.00 × 10⁻³
ln(SDR/SDN) 0.000
ln(SDR/SDN)eq 0.000
Shifting Speed ṡ
CMM (logarithmic) 0.000 s⁻¹
Ide (linear) 0.000 s⁻¹
Visibility
ṡ vs ln(SDR / SDN) — at current speed ratio s
CMM model (Eq. 23)
Ide model (linear)
Operating point
Equilibrium
ṡ = ωDR · Δ · [(1+cos²β₀)/sin(2β₀)] · g(s) · [ln(SDR/SDN) − ln(SDR/SDN)eq]

CVT geometry: L = 703 mm, d = 168 mm, β₀ = 11°, μ = 0.09
Δ = [1 + 0.02·(SDN − 20)] × 10⁻³  (Eq. 49)
Equilibrium from CMM steady-state (no-load). Ide uses linear SDR/SDN instead of logarithm.