The Use of Wavelets in the Mathematical and Computer Modelling of Manufacture of the Complex-Shaped Shells Made of Composite Materials | Zendy

Y. I. Bityukov | Zendy; V. N. Akmaeva | Zendy

Open Access

The Use of Wavelets in the Mathematical and Computer Modelling of Manufacture of the Complex-Shaped Shells Made of Composite Materials

Author(s) -

Y. I. Bityukov,

V. N. Akmaeva

Publication year - 2016

Publication title -

bulletin of the south ural state university series mathematical modelling programming and computer software

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.338

H-Index - 11

eISSN - 2308-0256

pISSN - 2071-0216

DOI - 10.14529/mmp160301

Subject(s) - wavelet , composite number , engineering drawing , materials science , computer science , engineering , mechanical engineering , composite material , structural engineering , artificial intelligence

This article focuses on the application of wavelet theory to the problem of modelling the processes of manufacturing the shells of brous composite materials (CM). The basic methods for preparing such shells are two related ones: lament winding, when the strip made of CM is laid out on the outstretched surface, and laying out, when the tape is placed by dint of pressing rollers. In both cases, laying the tape is carried out in accordance with the program of moving spreader. To create such a program the mathematical model of the process of placing the tape is needed. The article describes semi orthogonal wavelet systems on the segment that are based on B-spline of arbitrary order. The matrices which compose the lter bank for such wavelet systems are represented. Some algorithms for geometric modelling are reviewed and summarized from the point of view of the wavelet theory. The results are applied to the mathematical modelling and software of manufacturing process of shells made of brous composite materials. As an example, consider the process of making the ventilator blade.

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