Masters Theses


Chau Nguyen


"Milling is an operation, to remove undesired metal from a part, that is used in many industries, especially aerospace. Studying the operation to improve the material removal process includes studying the behavior of the tool and the workpiece during milling. In this paper, the tool and workpiece in end milling operations are analyzed as beams to study their dynamic vibrations. The tool is analyzed as a cantilever beam with one end clamped and force is applied at the other end. The workpiece is analyzed as a clamped plate. The equation to analyze the workpiece with both ends clamped is combined with the equation system of the tool. Solving this combined equation system yields more satisfactory results as compared with the equation considering the tool only.

A method to select spindle speed and the axial depth of cut to reduce vibrations in end milling is presented. Natural frequencies of the workpiece are obtained from SDRC I-DEAS. Combining the transfer functions of the structure at the cutter-workpiece contact zone, static cutting force coefficients, number of teeth of the cutter, and radial immersion, the stability model is constructed. The chatter free axial depth of cut and spindle speed are calculated from the set of linear analytic expressions.

Various stability charts are constructed, based on the experiments that were performed on one particular CNC milling machine. These charts show the safety regions to remove metal at different spindle speeds. When compared with analytical methods, this method yields exceptional results"--Abstract, page iii.


Krishnamurthy, K.

Committee Member(s)

Liou, Frank W.
Le, Vy Khoi


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


National Science Foundation (U.S.)


This research has been supported by the National Science Foundation under grant number GER-9355127.


University of Missouri--Rolla

Publication Date

Spring 2002


x, 59 pages

Note about bibliography

Includes bibliographical references (pages 56-58).


© 2002 Chau Nguyen, All rights reserved.

Document Type

Thesis - Restricted Access

File Type




Subject Headings

High-speed machining
Thin-walled structures

Thesis Number

T 8054

Print OCLC #


Link to Catalog Record

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