With the help of numerical analysis of trigonometric interpolation and Conformal Mapping theory, the conformal mapping function could be set up to translate the non-circle cross-section region of special-shaped products into unit dish region, over numerical finite interpolation points between even and odd. Thus, forming of products extrusion could be turned into two-dimension problem, and plastic stream function could be deduced as well, whilst, mathematical model of die cavity surface was determined based on different kinds of vertical curve. By Upper-bound Principle, both vertical curves of die cavity and its parameters were optimized. Furthermore, taking ellipse-shaped products as an instance, the calculation and analysis were carried out.
展开▼
