A rotor assembly for a synchronous reluctance machine has a plurality of steel punched star-shaped supports secured along a shaft at spaced locations for retaining a plurality of laminated rotor sections. The star-shaped supports have four equiangularly spaced arms having arcuate valleys disposed therebetween that define a plurality of channels for receiving the rotor sections. The rotor sections have a plurality of linearly-disposed apertures for receiving mounting members that extend radially from the valleys of the star-shaped supports. The portions of free ends of the mounting members that extend through the apertures, are stamped or formed to secure the rotor sections to the star-shaped supports. A rotor bar may be disposed within a concave cavity defined by the rotor sections to reduce audible noise produced as the rotor rotates at a high rate of speed.