20.500.12556/RUL-132332 Velocity based elements for the quasi-static analysis of beams and frames Na hitrostih osnovana kvazistatična analiza nosilcev in okvirjev In the present work, we propose the extension of the equilibrium equation based on the velocity based formulation with the introduction of an arc-length constraint. With the configuration variables defined in terms of time dependent quantities, the arc-length parameter in the original arc-length constraint equation can be replaced by increment of time step. Additionally, the constraint equation based on arc-length control is employed in its originally defined differential form. This eases the extension of the system of equations and the procedure can be applied in conjunction with the Newton-Raphson method. The proposed method also provides a flexibility to implement the stepsize control and in the present approach, we employ the local error control to determine the new step-size. The proposed method serves as a starting point in the post-critical analysis of the structures and aims at demonstrating the nonlinear responses in post-buckling regimes. Predstavljamo razširitev sistema enačb na hitrostih in kotnih hitrostih osnovane numerične formulacije prostorskih nosilcev z vezno enačbo sledenja obtežno deformacijski krivulji. Tako lahko parameter poti iz statične analize nadomestimo s časovnim korakom, ki v diskretiziranih enačbah dinamike nosilcev že nastopa. Poleg tega lahko vezno enačbo obtežno deformacijske poti implementiramo v osnovni, šibki obliki. Tak pristop olajša razširitev sistema enačb in olajša izvedbo Newton-Raphsonove sheme. Predlagana metoda omogoča tudi kontrolo časovnega koraka z oceno lokalne napake rešitev. Tako dopolnjena formulacija je odlično orodje za analizo postkritičnega obnašanja konstrukcij. beam elements path following arc-length method linijski elementi obtežno-deformacijska pot ločna dolžina true true true Angleški jezik Slovenski jezik Zbornik 2021-10-21 14:54:00 2021-10-21 14:54:03 2022-09-12 04:11:57 0000-00-00 00:00:00 2021 0 0 Str. 23-30 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 531:524.072(043) 80897795 74786051 RAZ_Kusuma_Chandrashekhara_Sudhanva_2021.pdf RAZ_Kusuma_Chandrashekhara_Sudhanva_2021.pdf 1 18E5BA968C2E728BCD8F3B92963E9C94 f2a0caf2b5ae461222332cb0de2940040574ed3fbd7e9de2fdb2bceaf6fba837 f8885076-326d-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=149942 Fakulteta za gradbeništvo in geodezijo 0 0 0