Tire with tread having circumferential grooves, resonators and incisions

A tire comprising:

• sidewalls;
• and
• a crown part extended axially on each side by the sidewalls, this crown part comprising:
• a reinforcement made up of a plurality of reinforcing elements embedded in a rubbery material;
• and
• a tread that radially covers the reinforcement and having a radially outward surface forming a tread surface configured to make contact with the road as the tire rolls along, this tread comprising:
• a plurality of grooves of generally circumferential orientation and of depth H, these grooves defining a plurality of rubber elements arranged in the circumferential direction,
• at least one rubber element of the tread comprises a plurality of cavities, each cavity of volume Vc being of generally elongate shape with a total length Lc and configured to communicate with a single groove of generally circumferential orientation, each cavity being extended along its length Lc by an incision that extends radially outwardly to emerge at the tread surface,
• wherein each of said cavities form a Helmholtz resonator, each of said cavities comprising a first part of length L and of average cross section S and a second part forming a channel of length I having a cross section s less than the average cross section S of the first part, this second part being connected to the first part and communicating with a groove, and the volume Vc of the cavity being equal to the sum of the volumes of the first part and of the second part, and
• wherein the incision comprises an incision portion beginning at the cavity and forming an angle A of at least 10° with a line perpendicular to the tread surface and passing through the point of intersection of the incision with the cavity, such that the incision closes at least in the vicinity of the cavity to preserve the total volume Vc of said cavity as said cavity passes through the road contact patch.