关键词: 共形映射, 模具, 三角插值, 优化设计

Abstract: It is especially difficult to mode! The irregular geometry boundary region in engineering problems, which makes analytical solution and optimization of parameters very hard. Conformal mapping method is adopted to transform the complicated region to unit circle disk. To solve the conforms! Mapping function, complex triangle interpolation theory with iterative method and normal convergence is presented. And FFT algorithm is used to solve the coefficients, For symmetrical region, fast algorithm is realized by simplification. This method is realized by computer program and is validated to solves mathematics model of similar forming plastic stream in exact extruding/drawing. At last, die mathematical model and optimized function equation of arc square product are built.

Key words: Optimal design Conformal mapping Triangle interpolation Die