Generalized minimal nets in form finding of prestressed cable nets

Problem nalaženja oblika prednapetih konstrukcija od užadi formuliran je kao varijacijski problem čija su rješenja minimalne i poopćene minimalne mreže. Uvedena su kinematička ograničenja koja omogućuju zadavanje duljina odabranih štapova. Analizirana je primjena Newton-Krilovljevih metoda u rješavanju nelinearnih jednadžbi ravnoteže te je opisana i analizirana iteracijska primjena metode gustoća sila u kojoj se gustoće sila u nekom koraku određuju na temelju zadanih uvjeta i rezultata prethodnoga koraka.Form finding problem of prestressed cable structures is formulated as a variational problem whose solutions are minimal and generalized minimal nets. Kinematic constrains are introduced that allow assignment of chosen lengths to elements. Application of Newton-Krylov methods for solving nonlinear equations of equilibrium is analysed. Iterative application of force density method, where force densities in each iteration step are determined based on given conditions and results of previous step, is described and analyzed