Method of designing resonator and pneumatic tire having the resonator

Abstract

The present invention aims to provide a method of designing a resonator more simply by deriving a non-transcendental model formula, and to provide a pneumatic tire having the resonator designed by this method. A method of designing a resonator 1 of a pneumatic tire having a circumferential groove 5 on a tread 4 and the resonator 10 configured to reduce a noise generated by resonance in tubular spaces defined by the circumferential groove 5 and a road surface, the resonator 1 having a branch groove 2 branched from the circumferential groove 5 and an air chamber 3 communicating with the branch groove 2 and having a cross section perpendicular to its extending direction greater than that of the branch groove 2, wherein a portion l1 of a minimum cross section Smin of the branch groove from an opening to the circumferential groove satisfies l1/L<1/π and l2/L<(l−l1)/L<1/π, where l is a length of an axis o-o′ of the branch groove 2, L is a length of the circumferential groove within a contact patch, Smin is a minimum portion of the cross section of the branch groove, and Smax is a maximum portion of the cross section of the air chamber, and a relation between l/L and Smin/Smax to determine a shape of the resonator satisfies the following equations: S m   i   n S max = π 2 2  ( 0.75 ) 2  ( l L ) 2 and S m   i   n S max = π 2 2  ( 1.25 )  { ( l L ) 2 - 2 π 2 } In addition, the pneumatic tire having the resonator designed by the method is provided.

Dependencies are inferred from the claim text.