Device for measuring deviation of the normal section profile of a part from the round shape

A device for measuring the deviation from the round shape of a normal section profile of a part being measured, which has the shape of a body of revolution, comprising:

• a base;
• a dial indicator secured to said base and including a sensing element contacting the normal section profile;
• a support mounted on said base and consisting of self-adjusting balance beams mounted to pivot about respective axles of oscillation arranged in a plurality of support steps including first, subsequent and last steps, so that a pair of said beams forms said first step, the axles of oscillation in said first step are secured to said base, the axles of oscillation of said subsequent steps are secured to the respective ends of the beams of the preceding step, and the beams of said last step have areas for contacting the normal section profile of a normal section of the part in the course of its rotation;
• the disposition of the axles of oscillation of two beams of a subsequent step on a beam of the preceding step being determined by a central angle defined by radii drawn from the center of rotation of the part to one of the axles of oscillation of said beam of the preceding step and either of the axles of oscillation of the beams of the subsequent step installed thereon;
• the disposition of the areas adapted to contact the beams of said last step with the profile of the part being determined by central angles defined by radii drawn from said center of rotation of the part to the axle of oscillation of one of the beams of said last step and to the center of one said area;
• wherein said balance beams are symmetrical relative to planes drawn through their respective axles of oscillation and the center of rotation of the part, and said pairs of beams of the subsequent steps are symmetrical relative to planes drawn through the axles of oscillation of the beams of the respective preceding steps carrying said pairs of beams, and the center of rotation of the part, and said sensing element of the dial indicator contacts the profile of the part in a point on a straight line passing through the center of rotation of the part and parallel with the plane drawn through the axles of oscillation of the beams of said first step, the central angles being determined on the basis of the condition of minimizing the expression ##EQU8## wherein:
• P.sub.yn is a value determining the amplitude of the harmonic n of displacement of the center of the profile in the direction of the straight line of the part;
• n is a serial number of harmonics n = 2;
• 3;
• 4;
• ... ;
• .mu..sub.o is a central angle defined by radii drawn from the center of the rotation of the part to the axle of oscillation of one of said beams of the first step and to the median of a segment interconnecting the axles of oscillation of the beams of said first step;
• i is a serial number of the step of self-adjusting supports 1 .ltoreq. i .ltoreq. k;
• .mu..sub.i is a central angle defined by radii drawn through the axles of oscillation of one of the beams of the step i and one of the beams of the step i+1, mounted thereon or, with i=k, through the center of the area adapted to contact one of the beams of the last step with the part and the axle of oscillation of said one beam of the last step;
• and ##EQU9## is a symbol that stands for the product of the cofactors ranging from i=1 to i=k.