Irregular vibrations in multi-mass discrete-continuous systems torsionally deformed

• Main Authors: A. Pielorz, D. Sado
• Format: Article
• Language: English
• Published: Marcílio Alves
• Series: Latin American Journal of Solids and Structures
• Subjects: nonlinear dynamics; irregular vibrations; discrete-continuous systems; torsional systems; wave approach
• Online Access: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100014&lng=en&tlng=en

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 Poincaré maps, bifurcations diagrams and the exponents of Lyapunov.