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Complexity in Metal Cutting and Fractality of Machined Surfaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Srinivasan, Ravi S. Wood, Kristin L. |
| Copyright Year | 1998 |
| Abstract | In this paper, metal cutting is modeled as a complex process, resulting from the interaction of several predictable and irregular mechanisms. Emerging from this complexity, the principal mechanism for surface generation is based in a new model for fracture in metal cutting. In addition, secondary and tertiary mechanisms are explored. Fractal parameters are proposed to describe the structure of machining errors, in concert with linear and periodic trends. Experimental results are also presented, wherein the predictable and irregular components are computed for a milling process. The fidelity of the method is tested by synthesizing the profiles, and comparing them to the originals. Finally, applications and future directions to the research are presented. 1. PRECISION MANUFACTURING Precision engineering has emerged as an important facet of manufacturing /10,26/, especially within the last decade. Increasingly stringent demands have been placed on the construction and performance of machine tools used to manufacture high precision components. On the counterbalance, all processes have inherent variability, emanating from the physical mechanisms governing surface generation. Metal cutting models have been used /17,14/ to describe and understand the geometric and physical characteristics of the generated surface. However, the exact mechanisms involved in surface generation are largely unknown /4,9/. This is due to the high degree of complexity involved in the metal cutting process. In addition to the need for better models to understand metal cutting, there is also a need for developing techniques based on sound scientific bases to address certain areas in precision manufacturing l\OI. One such area is the characterization of precision engineering surfaces. In this contribution, we address these two issues: we examine metal cutting from a fresh scientific perspective, namely, complex processes, and qualitatively derive the mathematical tools needed for describing the machined surface. 1.1. Components of the Research We begin by surveying various types of errors in a simple machining process. Against this topical background, the issue of complex structures in manufacturing errors is discussed at a qualitative level. We then digress to present an introduction to fractal dimensions as viable descriptors of these complex structures. Then we revert to further study the mechanisms that lead to error structures in machined surfaces. These include a Laplacian model for fracture, energy cascades, and elastic deformation and recovery in cutting. A superposition model is used to represent the composite nature of the errors, and one of the components includes fractal parameters. We then use the profiles from a milling process to verify that the model can fully capture the error structure. The paper concludes with applications in design and thoughts on future research. 2. SURFACE GENERATION In metal-cutting processes, the cutting tool is constrained to move relative to the workpiece and |
| Starting Page | 199 |
| Ending Page | 208 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1515/IJMSP.1998.1.3.199 |
| Volume Number | 1 |
| Alternate Webpage(s) | https://www.sutd.edu.sg/cmsresource/idc/papers/1996-_On_Complexity_in_Metal_Cutting_and_Fractality_of_Machined_Surfaces_-_IJMP.pdf |
| Alternate Webpage(s) | https://doi.org/10.1515/IJMSP.1998.1.3.199 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
