A mathematical model of the power transmission through a Van Doorne steel belt continuously variable transmission is developed. The approach is based on a simplified viscous oil shear stress model. This enables the determination of the power transmission loss resulting from shearing the oil film along the traction line. The power to maintain the necessary hydraulic clamping forces is taken into account to optimize the power transmission efficiency. The analytical solution is evaluated numerically and compared with experimental results. Variations in the hydraulic pump displacement that are determined by the required ratio adjustment dynamics show that with a sufficiently small pump, peak efficiencies exceeding 97 percent are possible.

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