abstract: Mostly, manufacturing tolerance charts are used these days for manufacturing tolerance transfer but these have the limitation of being one dimensional only. Some research has been undertaken for the three dimensional geometric tolerances but it is too theoretical and yet to be ready for operator level usage. In this research, a new three dimensional model for tolerance transfer in manufacturing process planning is presented that is user friendly in the sense that it is built upon the Coordinate Measuring Machine (CMM) readings that are readily available in any decent manufacturing facility. This model can take care of datum reference change between non orthogonal datums (squeezed datums), non-linearly oriented datums (twisted datums) etc. Graph theoretic approach based upon ACIS, C++ and MFC is laid out to facilitate its implementation for automation of the model. A totally new approach to determining dimensions and tolerances for the manufacturing process plan is also presented. Secondly, a new statistical model for the statistical tolerance analysis based upon joint probability distribution of the trivariate normal distributed variables is presented. 4-D probability Maps have been developed in which the probability value of a point in space is represented by the size of the marker and the associated color. Points inside the part map represent the pass percentage for parts manufactured. The effect of refinement with form and orientation tolerance is highlighted by calculating the change in pass percentage with the pass percentage for size tolerance only. Delaunay triangulation and ray tracing algorithms have been used to automate the process of identifying the points inside and outside the part map. Proof of concept software has been implemented to demonstrate this model and to determine pass percentages for various cases. The model is further extended to assemblies by employing convolution algorithms on two trivariate statistical distributions to arrive at the statistical distribution of the assembly. Map generated by using Minkowski Sum techniques on the individual part maps is superimposed on the probability point cloud resulting from convolution. Delaunay triangulation and ray tracing algorithms are employed to determine the assembleability percentages for the assembly. / Dissertation/Thesis / Ph.D. Mechanical Engineering 2011

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The purpose of this dissertation is two-fold: one is to analyze the narratives of Acis and Galatea written by Ovid, and the two libretti by Handel's librettists including Nicola Giuvo (1708) and John Gay (1718) with John Hughes and Alexander Pope; the other is to correlate this textual analysis within the musical languages. A 1732 pastiche version is excluded because its bilingual texts are not suitable for the study of relationships between meaning and words. For this purpose, the study uses the structural theory- -mainly that of Gérard Genette--as a theoretical framework for the analysis of the texts. Narrative analysis of Acis and Galatea proves that the creative process of writing the libretto is a product of a conscious acknowledgement of its structure by composer and librettists. They put the major events of the story into recitative and ensemble. By examining the texts of both Handel's work, I explore several structural layers from the libretti: the change of the characterization to accommodate a specific occasion and the composer's response to contemporary English demand for pastoral drama with parodistic elements, alluding to the low and high class of society. Further, Polyphemus is examined in terms of relationships with culture corresponding to his recurrent pattern of appearance.