Naslov
Fractals and Formfinding - Magic with Real Numbers

Autori
Dvornik, Josip ; Lazarević, Damir

Izvornik
International journal for engineering modelling (1330-1365) 16 (2003), 1-2; 1-11

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
cable net structures; formfinding; basin of attraction; fractals; iterative methods; nonlinear equations

Sažetak
The equilibrium shape determination of prestressed cable net structures termed formfinding can be achieved through classical Newton-Raphson method. The convergence strongly depends on the choice of the starting vector. For an explanation of the irregularity of the basin of attraction a series of numerical experiments was performed. It was confirmed that basins of attractions were fractals indeed. It is shown that the Newton-Raphson method can also generate fractals with real numbers.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

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