27 KB113 KB26 KB199920252006Kulvietiene, ReginaKulvietis, GenadijusTumasoniene, Ingaštevilka:5letnik:528 stranistr. 309-316ISSN:0039-2480COBISSID:9526299URN:URN:NBN:SI:doc-EZN1QX2IenAssociation of Mechanical Engineers and Technicians of Slovenia et al.Zveza strojnih inženirjev in tehnikov Slovenije et al.Strojniški vestnikalgebranihanjeprostostne stopnjeSimbolno-številčno analiziranje nihanj sistemov z velikim številom stopenj prostosti|Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantagesČ it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environmentsZa analizo nihanja sistemov z velikim številom prostostnih stopenj smo uporabili metode računalniske algebre. Z vidika računalniske algebre smo primerjali dve metodi reševanja in izbrali metodo harmonskega ravnovesja. Sistem smo razdelili v linearni in nelinearni del. Linearni del lahko popišemo na običajen način. Za rešitev nelinearnega dela v zaključeni obliki pasmo uporabili simbolični izračun. Izbrani simbolno-stevični pristop ima veliko prednosti, se posebej pri sistemih z velikim številom stopenj prostosti: vodi v poenostavitev teoretičnih oblik modelov, opazno zmanjšanje obseznosti dobljenih enačb in zato tudi skrajšanje časa računanja ter povečanje možnosti uporabe modelov z več objekti v drugih posebnih okoljihTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza v Ljubljani, Fakulteta za strojništvo