A MATHEMATICAL TREATMENT ON CROSS ROLLER DESIGN

With a view to developing new techniques on steel rolling it would be help-ful to analyze and sythesize the cross roller shape by mathematical treatment.The shaping principle of passes and related computing or drawing methods arestudied by solving the conditional limit value of binary function and the principleof conjugate surface. It is found that different varieties of cross rollers could beobtained by the combinations of the four kinds of typical surfaces proposed onthe basis of design principle of "linear contact". The application of the afore-mentioned mathematical treatment to pipe or rod straightening practice is shownto be satisfactory.