Design of Tools for Electrochemical Machining by the Boundary Element Method
Authors:
- 1 May 1986
- journal article
- research article
- Published by SAGE Publications in Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science
- Vol. 200 (3) , 195-205
Abstract
Techniques for modelling electrochemical machining are briefly reviewed before concentrating on the boundary element method for computing the shape of tool profiles. The model described caters for problems which can be represented geometrically in two dimensions; it is iterative in nature and uses the approximate cos θ method to initiate the procedure. Subsequent iterations employ one of three formulations developed for correcting the tool profile to obtain workpiece equilibrium. Linear and quadratic isoparametric elements have been used and their relative accuracy is assessed. Special emphasis is placed on the design of tools expected to need sharp profile discontinuities and the merits of specifying different boundary conditions on the known work surface are examined.Keywords
This publication has 13 references indexed in Scilit:
- On the efficiency and accuracy of the boundary element method and the finite element methodInternational Journal for Numerical Methods in Engineering, 1984
- Economy and convergence of notch stress analysis using boundary and finite element methodsInternational Journal for Numerical Methods in Engineering, 1984
- Boundary Element Techniques1984
- A regular boundary element method for fluid flowInternational Journal for Numerical Methods in Fluids, 1982
- Boundary Element Methods in Engineering1982
- Finite element approach to the two dimensional analysis of electrochemical machiningPrecision Engineering, 1980
- Boundary elements in potential and elasticity theoryComputers & Structures, 1979
- On the numerical solution of two-dimensional potential problems by an improved boundary integral equation methodJournal of Computational Physics, 1979
- Free Boundary Problem for the Laplace Equation With Application to ECM Tool DesignJournal of Applied Mechanics, 1976
- Free boundary problem of ECM by alternating-field technique on inverted planeComputer Methods in Applied Mechanics and Engineering, 1975