We consider the damped Newton's method Nh(z)= z-hp(z)/p'(z), 0 < h < 1 for polynomials p(z) with complex coefficients. For the usual Newton's method (h = 1) and polynomials p(z), it is known that the method may fail to converge to a root of p and rather leads to an attractive periodic cycle. Nh(z) m
Weight versus strength: A case study
โ Scribed by Genady P. Cherepanov
- Publisher
- Elsevier Science
- Year
- 1995
- Weight
- 537 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0961-9526
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โฆ Synopsis
Smart electronic packaging is necessary for solving the problem of protecting electronic devices, weight reduction and miniaturization, and many technical problems connected with the performance of these devices. To develop a guideline for these improvements, it is important initially to create some sound engineering estimates based on simple analytical considerations. In the present paper, such estimates are constructed as applied to the design project of the ground based radars (GBR) of the next generation. Some necessary technical requirements for the GBR structure are presented, and an estimate is made of the comparative performance of laminate composite materials in the GBR project, as compared to the aluminum alloy of the present GBR design. The menu method is suggested to solve the problem of the multi-criterion, optimal design of the panel thickness in the GBR design. Finally, the mechanism of sintering ceramics in order to control their density and strength, and hydridize them using superelastic SMA actuators against an impact, is considered.
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