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EVALUATION OF SPHERICITY USING MODIFIED SEQUENTIAL LINEAR PROGRAMMING

SARAVANAN, SHANKAR
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1132343760

Abstract Details

2005, MS, University of Cincinnati, Engineering : Industrial Engineering.
Spherical components are an integral part of many industrial products. These components have to be manufactured and inspected with strict dimensional and geometric controls. Heavily loaded spherical components such as ball bearings when used with geometric imperfection may result in large amount of heat, wear, vibration and in turn will result in reduction in life. These geometric imperfections or deviations can be found by applying appropriate algorithms that conforms ANSI standards on the data obtained from CMM. There are a number of procedures to evaluate spherical deviations. Broadly these procedures can be divided into numerical optimization techniques and computational geometric techniques. The computational geometric technique yield accurate results but are time consuming and computationally intensive.This thesis presents a novel way to calculate the spherical error or sphericity of a component by combining both optimization and intrinsic geometric property of the feature. The spherical error formulation based on the minimum zone criterion is a non-linear and non-convex problem. This work presents a verification method which involves solving a sequence of linear programs that converges to a local optimal solution. At each stage the number of constraints on the linear program is function of number of data points. By using intrinsic geometric properties of the spherical feature, these constraints can be reduced. The data points, which form the constraints, are chosen using a heuristic procedure. Thus a non-linear optimization problem for calculation of sphericity error is solved through a sequence of linear programs with reduced constraints, which gives faster and accurate results.
Anand Sundararaman (Advisor)
49 p.
Engineering, Industrial
Sphericity error; Minimum Zone tolerance; Coordinate Measurement Machines; Sequential Linear Programming; Form Error

Recommended Citations

Citations

  • SARAVANAN, S. (2005). EVALUATION OF SPHERICITY USING MODIFIED SEQUENTIAL LINEAR PROGRAMMING [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1132343760

    APA Style (7th edition)

  • SARAVANAN, SHANKAR. EVALUATION OF SPHERICITY USING MODIFIED SEQUENTIAL LINEAR PROGRAMMING. 2005. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1132343760.

    MLA Style (8th edition)

  • SARAVANAN, SHANKAR. "EVALUATION OF SPHERICITY USING MODIFIED SEQUENTIAL LINEAR PROGRAMMING." Master's thesis, University of Cincinnati, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1132343760

    Chicago Manual of Style (17th edition)

ucin1132343760
737
© 2005, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.