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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
CLC No: TH122 O241
国家自然科学基金资助项目(50075076). Received 20010613, received in revised form
20020315 |