IRREGULAR VIBRATIONS IN MULTI-MASS DISCRETE-CONTINUOUS SYSTEMS TORSIONALLY DEFORMED

Authors

  • DANUTA SADO WARSAW UNIVERSITY OF TECHNOLOGY
  • AMALIA PIELORZ KIELCE UNIVERSITY OF TECHNOLOGY

Keywords:

NONLINEAR DYNAMICS, IRREGULAR VIBRATIONS, DISCRETE-CONTINUOUS SYSTEMS, TORSIONAL SYSTEMS, WAVE APPROACH

Abstract

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.

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Published

2012-11-22

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Section

Articles