Drilling with flat rake face and conventional twist drills—I. Theoretical investigation

Armarego, E.J.A.; Chen, Cheng

doi:10.1016/0020-7357(72)90009-1

Cited by 57 publications

(27 citation statements)

References 7 publications

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“…Later, one of the first applications of the edge discretisation method to take the local geometry into account was proposed by Armarego and Cheng [25] for drilling operations.…”

Section: Edge Discretisation Methodologymentioning

confidence: 99%

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A generalised geometrical model of turning operations for cutting force modelling using edge discretisation

Campocasso

Costes

Fromentin

et al. 2015

Applied Mathematical Modelling

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe knowledge of cutting forces is of prime importance to ensure the success of cutting operations, the desired properties of the machined parts and therefore the functionality of the workpieces. Edge discretisation is one way to model cutting forces. Traditionally used in milling, this methodology enables local changes in uncut chip thickness or cutting geometry to be taken into account and then gives suitable results in the three directions. A key point of this method is the geometrical transformation that enables the description of various tool geometries. This study proposes a geometrical model based on homogeneous matrices, whose main interest is to decompose the transformations step-by-step. The method, generalisable to all machining operations, is detailed for turning operations. Inserted cutters are modelled considering both the positioning of the insert and the local geometry of the insert. The cutting geometry and the edge are described using the same model in the machine coordinates system, allowing forces and moments to be calculated easily.Keywords: Cutting force modelling, Edge discretisation, Tool geometry, Homogeneous matrix transformations, Turning operations Nomenclature α ne Working normal clearance angle; defined in P n [1] α P n Normal clearance angle given by the local preparation (P) of the insert; defined in P n α oe Working orthogonal clearance angle; defined inWorking normal rake angle; defined in P n [1] γ P n Normal rake angle given by the local preparation (P) of the insert; defined in P n ε E Tool included angle of the cutting edge (E); also denoted ε r if the cutting edge is included in P r [1] η Chip flow angle θ Polar angle defined in a coordinate system linked to the insert (parameterisation of the cutting edge) Θ Polar angle defined in a coordinate system linked to the machine (Θ = θ + κ r + ε r /2 − π/2) κ r Tool minor cutting edge angle; defined in

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“…Later, one of the first applications of the edge discretisation method to take the local geometry into account was proposed by Armarego and Cheng [25] for drilling operations.…”

Section: Edge Discretisation Methodologymentioning

confidence: 99%

“…It should be noted that the assumption of the independence of the elementary tools is implicit; consequently, the curvatures of the edge and the rake face are neglected [25].…”

Section: Edge Discretisation Methodologymentioning

confidence: 99%

A generalised geometrical model of turning operations for cutting force modelling using edge discretisation

Campocasso

Costes

Fromentin

et al. 2015

Applied Mathematical Modelling

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“…Early drilling models have been developed by Shaw [1], Oxford [2], Shaw and Oxford [3], Pal et al [4], Williams [5,6], Armarego and Cheng [7,8], and Wiriyacosol and Armarego [9]. A methodology was presented by Armarego and Cheng [7,8] in which a series of oblique cutting slices was used to model the drilling process.…”

Section: Introductionmentioning

confidence: 99%

An analytical finite element technique for predicting thrust force and torque in drilling

Strenkowski

Hsieh

Shih

2004

International Journal of Machine Tools and Manufacture

107

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“…The mechanistic models for cutting forces are strictly based on fundamental mechanical properties, while some mechanistic approaches evaluate a set of coefficients which have functional significance in determining the cutting forces. It is interesting to note that mechanistic approaches use oblique cutting principles which are extended from orthogonal cutting [6,7].…”

Section: Introductionmentioning

confidence: 99%

Mechanistic approach for prediction of forces in micro-drilling of plain and glass-reinforced epoxy sheets

Rahamathullah¹,

Shunmugam

2014

Int J Adv Manuf Technol

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Aerospace and automobile industries extensively use components made of plastics and fiber-reinforced plastics which require micro-machining operations including microdrilling to be carried out. Various attempts are reported in the literature to study different strategies and model the forces in micro-drilling with a view to produce micro-holes having large aspect ratio and to reduce drill breakage. The force models are more statistical than mechanistic in approach. In the present work, an attempt is made to develop mechanistic models of thrust and torque in micro-drilling of plain epoxy sheets. Material model capturing strain rate and temperaturedependent yield strength of epoxy material and basic principles of machining are employed for this purpose. The mechanistic model for prediction of thrust and torque is validated using well-planned full factorial design of experiments. Experiments are carried out using a carbide drill of 0.5-mm diameter with three levels for speed and feed on a highspeed miniature machine tool specially developed at the laboratory. The material model is extended to glass-reinforced plastics (GRP), and drilling forces are predicted using the proposed mechanistic model. In both cases of plain and GRP sheets, the model predictions are close to the experimentally measured drilling forces.

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Drilling with flat rake face and conventional twist drills—I. Theoretical investigation

Cited by 57 publications

References 7 publications

A generalised geometrical model of turning operations for cutting force modelling using edge discretisation

A generalised geometrical model of turning operations for cutting force modelling using edge discretisation

An analytical finite element technique for predicting thrust force and torque in drilling

Mechanistic approach for prediction of forces in micro-drilling of plain and glass-reinforced epoxy sheets

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