%0 Journal Article %T Irregular vibrations in multi-mass discrete-continuous systems torsionally deformed %A Pielorz %A A. %A Sado %A D. %J Latin American Journal of Solids and Structures %D 2013 %I Scientific Electronic Library Online %R 10.1590/S1679-78252013000100014 %X in the paper irregular vibrations of discrete-continuous systems consisting of an arbitrary number rigid bodies connected by shafts torsionally deformed are studied. in the systems a local nonlinearity described by the polynomial of the third degree is introduced. it is assumed that the characteristic of the local nonlinearity is of a hard type. governing equations are solved using the wave approach leading to equations with a retarded argument. exemplary numerical calculations are done for the three-mass system. the possibility of occurring of irregular vibrations is discussed on the basis of the poincar¨¦ maps, bifurcations diagrams and the exponents of lyapunov. %K nonlinear dynamics %K irregular vibrations %K discrete-continuous systems %K torsional systems %K wave approach. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1679-78252013000100014&lng=en&nrm=iso&tlng=en