Space curve interpolation for CNC machines

Journal for Manufacturing Science and Production

Fyrillas

2014

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This paper presents a manufacturing method for parts with trochoidal profile on CNC milling machines. The method is based on a new real-time interpolation algorithm capable to drive the cutter along the offset of trochoid curves with precision equal to the resolution of the machine. The structure of the presented algorithm may be adapted accordingly so as to be used either for parts with an epitrochoidal or a hypotrochoidal profile. Both types of curves, known as trochoid curves, have important industrial applications such as gears with trochoidal tooth-profile, cams, trochoidal-shaped housings for rotary internal combustion engines and rotary piston pumps etc. The effectiveness and accuracy of the proposed method is verified by simulation tests of the generated tool path for the machining of two representative mechanical parts, an inner rotor of a hypogerotor pump and an epitrochoidal-shaped housing.

Section: Structure Of the Algorithmmentioning

confidence: 99%

A CNC Manufacturing Method for Parts with Trochoidal Profile

Journal for Manufacturing Science and Production

Fyrillas

2014

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“…In this section, the generation of an accurate motion along the offset of an ellipse is treated as a locus tracing problem [10]. The specific concept has been already applied successfully in motion generation for a series of CNC interpolation algorithms [11][12][13]. The main concept of this approach may be summarized as follows: Using analytic concepts and the locus defining property, two distinct sophisticated constructive operations are formulated.…”

Section: Development Of the Interpolation Algorithmmentioning

confidence: 99%

New CNC Programming Functions Based on Elliptical Motion

Journal for Manufacturing Science &Amp; Production

Fyrillas

2013

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This paper proposes a set of four elliptical features that can enhance the programming capabilities of a modern CNC system. Namely, a real-time interpolation algorithm for motion generation along an ellipse and its offset, machining of an elliptical pocket, and drilling a series of equidistant holes along an elliptical path. The paper analytically describes the implementation of the new functions while the G-codes, along with their complementary requisite data needed to be introduced in the CNC part program, are exemplified with simulation and actual machining tests for each feature.

“…Finally, accuracy is obtained by applying the locus tracing concept [14] for motion generation along the Bézier's offset. The concept is generally applicable in motion generation and has already been tested successfully in similar problems of CNC machining [15][16][17][18]. In this paper, its application is illustrated in the context of motion generation along Bézier's offset.…”

Section: Introductionmentioning

confidence: 99%

A new CNC turning canned cycle for revolved parts with free-form profile

Int J Adv Manuf Technol

Rossides

Lontos

2011

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This paper presents an algorithm for improving the interpolation accuracy in turning operations. The parts considered are formed by revolving a free-form profile which is implemented in terms of Bézier formulation around a center linear axis. The demand for the manufacturing of such geometric shapes is frequently met in parts produced by casting and forging methods. The method employs a computer numerical control (CNC) turning machine and is based on the locus tracing concept. The algorithm described utilizes a real-time CNC interpolator providing the highest possible accuracy of which the turning machine is capable. The whole machining task can be programmed as a canned cycle, essentially extending the feature generating capabilities of the existing G70/ G73 CNC turning fixed cycles.