application-note · English
Analysis of Rolling Theory by Analog Computer — Karman's Differential Equation —
Technical Information Series No. 8 from Hitachi's Analog-Hybrid Computer line, demonstrating how an analog computer automatically solves Karman's differential equation to determine pressure distribution and rolling load during metal rolling. The document derives the governing equations (boundary-value problem, projected contact length, elastic deformation), describes the analog circuit design with five integrators and a program controller, and validates results against digital computer solutions across six parametric cases. Computation time is on the order of seconds versus minutes for digital approaches.
rolling theoryKarman differential equationpressure distributionanalog computation