This type of measurement can be affected by machine variation, part variation, inaccurate measurement algorithms, and the fitting algorithm employed by the machine control unit.
For example, to determine the diameter of a cylinder, a CMM is programmed to acquire points on the surface and then optimize the parameters for best-fit geometry. In recent years, a significant issue has been identified with automated inspection techniques that utilize measurement equipment such as coordinate measuring machines (CMMs). For example, the manufacturing precision for a camshaft in an internal combustion engine significantly correlates to the performance of the engine. The problem of fitting a circular arc (say, for a fillet or a section of a spherical mirror or cylinder) has motivated a large amount of literature in science and engineering with applications to microwave measurement, computer vision, design tolerance, metrology and inspection of mechanical parts, archaeology, geodesy, and many others. This method is an efficient way to develop a geometric model of the feature. The rapid, accurate inspection and corresponding reduction in human error make this method an excellent process for inspection of large quantities of components.įitting surface geometry to a part is the process of estimating the interpolated geometry between the real data points collected using metrology instruments on real components. A benefit of this proposed method is accurate and rapid inspection of the radii and elimination of the human error associated with part loading variation during conventional radii measurement. The simulations examine the roundness index in relation to the measurement precision, sampling angle, nominal radius, and part variation. Furthermore, a modified definition for the roundness index is introduced based on the proposed forward and inverse algorithms. The direct fitting is validated by using mathematical, CAD, and experimental models. This technique allows deployment of a high accuracy gauge systems that in general, reduces machine and algorithm errors. This proposed model develops a three-point inverse kinematic algorithm (TPIK) accompanied by a calibration master to obtain the relative location of the measurement system by solving a set of six non-linear equations. The goal of this proposed measurement process is to improve measurement throughput (i.e., parts measured per unit of time) and reduce measurement errors associated with hardware and algorithms. This paper introduces a new validation procedure for measuring arcs from distributed sensors. Due to the complexity of the measurement, validating each manufactured component via inspection is not feasible or economical. Automatic fitting of an arc center and radius is a quality problem frequently encountered when manufacturing a mechanical component.
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