The invention relates to a mowing or grinding device comprising a rotary shaft bearing a plurality of mowing or grinding tools forming flails, each tool (2) being mounted directly or indirectly on the rotary shaft by way of at least one articulated connection with preferred positioning for favouring the keeping of the tool in a working position and having a mounting orifice (20, 30) and an axial mount (14, 40) passing through said mounting orifice (20, 30); said device being characterized in that the positioning portion of the axial mount (14, 40) has at least one cylindrical boss (15, 16, 41, 42) having a circular surface and the positioning portion of the mounting orifice (20, 30) has at least one concave housing (21, 22, 31, 32) having a circular surface that is able to receive the circular surface of the cylindrical boss (15, 16, 41, 42) when the tool is in the working position, the circular surface of the concave housing (21, 22, 31, 32) having a constant curvature complementary to the circular surface of the cylindrical boss (15, 16, 41, 42) over a periphery greater than a quarter circle.L'invention concerne un dispositif de fauchage ou de broyage comportant un arbre rotatif portant une pluralité d'outils de fauchage ou de broyage faisant fléaux, chaque outil (2) étant monté directement ou indirectement sur l'arbre rotatif par l'intermédiaire d'au moins une liaison articulée à positionnement préférentiel permettant à favoriser le maintien de l'outil en position de travail et comportant un orifice de montage (20, 30) et un support axial (14, 40) passant au travers dudit orifice de montage (20, 30); ledit dispositif étant caractérisé en ce que la portion de positionnement du support axial (14, 40) présente au moins un bossage cylindrique (15, 16, 41, 42) présentant une surface circulaire et la portion de positionnement de l'orifice de montage (20,30) présente au moins un logement concave (21, 22, 31, 32) présentant une surface circulaire apte à recevoir la surfa