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Shunmugam M S
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Shunmugam M S
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Shunmugam M S
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Shunmugam, M. S.
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4 results
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- PublicationEvaluation of form data using computational geometric techniques-Part I: Circularity error(01-06-2007)
;Venkaiah, N.The present work deals with evaluation of form error from the measured profiles obtained using a form tester, namely roundness/cylindricity measuring instrument. In Part I, details of circularity evaluation are presented. Due to eccentricity in component setting and radius-suppression inherent in the measurement, circularity error has to be evaluated with reference to a limacon. A computational geometry-based algorithm is proposed for establishing minimum circumscribed, maximum inscribed and minimum zone limacons. A new type of control hull for directly constructing equi-angular diagrams and a new procedure for updating are introduced. Validation has been done with bench-mark data set and corresponding results available in the literature. Being geometry-based algorithm, it is simple to follow and each iteration can be visualized and interpreted geometrically. On comparison with simplex search method, the proposed algorithm is found to be computationally efficient in terms of accuracy and time taken. The proposed methods can be easily implemented in computer-aided roundness measuring instruments. Extension of this work for evaluation of cylindricity error has been dealt in Part II. © 2006 Elsevier Ltd. All rights reserved. - PublicationEvaluation of form data using computational geometric techniques-Part II: Cylindricity error(01-06-2007)
;Venkaiah, N.The form tester having a straight datum in addition to rotational axis provides the cylindricity data. Due to misalignment between axis of the component and instrument axis, and size-suppression inherent in such measurements, a limacon-cylinder has to be used for cylindricity evaluation. For the first time, an attempt has been made in the present work to establish the limacon-cylinder using computational geometric techniques. Concepts involved in the construction of limacon from 2D control hull as brought out in Part I are further extended in this Part II to establish the limacon-cylinder. The algorithms developed in this paper have been applied for minimum circumscribed, maximum inscribed and minimum zone evaluations of the data available in the literature. The proposed algorithms are fast and yield accurate results, and can be implemented in computer-aided form measuring instruments. © 2006 Elsevier Ltd. All rights reserved. - PublicationEvaluation of sphericity error from form data using computational geometric techniques(01-02-2002)
; The measurement data for evaluation of sphericity error can be obtained from inspection devices such as form measuring instruments/set-ups. Due to misalignment and size-suppression inherent in these measurements, sphericity data obtained will be distorted. Hence, the sphericity error is evaluated with reference to an assessment feature, referred to as a limacoid. Appropriate methods based on the computational geometry have been developed to establish Minimum Circumscribed, Maximum Inscribed and Minimum Zone Limacoids. The present methods start with the construction of 3-D hulls. A 3-D convex outer hull is established using computational geometric concepts presently available. A heuristic method is followed in this paper to establish a 3-D inner hull. Based on a new concept of 3-D equi-angular line, 3-D farthest or nearest equi-angular diagrams are constructed for establishing the assessment limacoids. Algorithms proposed in the present work are implemented and validated with the simulated data and the data available in the literature. © 2002 Elsevier Science Ltd. All rights reserved. - PublicationEvaluation of sphericity error from coordinate measurement data using computational geometric techniques(26-10-2001)
; The measurement data of a spherical component can be obtained from inspection devices such as coordinate measuring machines (CMMs). The sphericity error is evaluated from such coordinate data based on the minimum circumscribed sphere, the maximum inscribed sphere and minimum zone spheres. Appropriate methods based on the computational geometry have been developed to establish these assessment spheres. The present methods start with construction of 3-D hulls. The 3-D convex outer hull is established using the computational geometric concept presently available. For establishing a 3-D inner hull, a new heuristic method is suggested in this paper. A new concept of 3-D equidistant (ED) line is introduced in the present method. Based on this concept, the authors have constructed 3-D farthest and nearest equidistant diagrams for establishing the assessment spheres. Algorithms proposed in the present work are implemented and validated with the simulated data and the data available in the literature. © 2001 Elsevier Science B.V. All rights reserved.