2008Machinery Design and ManufactureRequires access

Application of theory on surface approximation in the research of feed-rate optimization

Baohai Wu

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Abstract

The method for optimization of feed-rate is proposed based on the theory of surface approximation.Namely different cutting conditions of approximation surface in practical machining are studied according to the approximation type of surface on one point in space neighborhood.Several typical machining conditions are summed up,analyzed,defined and modeled,Optimization models of feed-rate for typical machining conditions are educed. In neighborhood of each CL-point the parts of free-form are approximated to the type of the typical surface.Machining conditions are matched according to the curvature,feed direction and tool axis vector of process and a series of matched machining conditions are obtained. The feed-rate based on the matched machining conditions is optimized. The purpose of optimizati on the feed-rate dynamic for machining the parts of free-form surface is achieved.

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What this paper is about

The method for optimization of feed-rate is proposed based on the theory of surface approximation.Namely different cutting conditions of approximation surface in practical machining are studied according to the approximation type of surface on one point in space neighborhood.Several typical machining conditions are summed up,analyzed,defined and modeled,Optimization models of feed-rate for typical machining conditions are educed. In neighborhood of each CL-point the parts of free-form are approximated to the type of the typical surface.Machining conditions are matched according to the curvature,feed direction and tool axis vector of process and a series of matched machining conditions are obtained. The feed-rate based on the matched machining conditions is optimized. The purpose of optimizati on the feed-rate dynamic for machining the parts of free-form surface is achieved.

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Available abstract

The method for optimization of feed-rate is proposed based on the theory of surface approximation.Namely different cutting conditions of approximation surface in practical machining are studied according to the approximation type of surface on one point in space neighborhood.Several typical machining conditions are summed up,analyzed,defined and modeled,Optimization models of feed-rate for typical machining conditions are educed. In neighborhood of each CL-point the parts of free-form are approximated to the type of the typical surface.Machining conditions are matched according to the curvature,feed direction and tool axis vector of process and a series of matched machining conditions are obtained. The feed-rate based on the matched machining conditions is optimized. The purpose of optimizati on the feed-rate dynamic for machining the parts of free-form surface is achieved.

Key concepts: Machining, Curvature, Surface (topology), Point (geometry), Mathematics, Series (stratigraphy), Space (punctuation), Mathematical optimization

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