CHAOTIC VIBRATIONS IN FLEXIBLE MULTI-LAYERED BERNOULLI-EULER AND TIMOSHENKO TYPE BEAMS
AbstractNUMERICAL INVESTIGATIONS OF TRANSVERSALLY DRIVEN BEAMS ARE CARRIED OUT VERSUS CONTROL PARAMETERS, I.E. AMPLITUDE AND FREQUENCY OF AN EXTERNAL LOADING FOR A SERIES OF BOUNDARY CONDITIONS AND FOR TWO KINEMATICAL BEAM MODELS OF EULER-BERNOULLI AND TIMOSHENKO TYPES. NOVEL STIFF STABILITY BEAM LOSS IS DETECTED AND STUDIED. RELIABILITY OF THE OBTAINED RESULTS IS VERFIED VIA FEM (FINITE ELEMENT METHOD) AND FDM (FINITE DIFFERENCE METHOD). TRANSI-TIONAL AND CHAOTIC PHENOMENA EXHIBITED BY FLEXIBLE EULER-BERNOULLI BEAMS SUBJECTED TO AN IMPACT ACTION OF A ONE-DEGREE OF FREEDOM BODY WITH A GIVEN MASS AND VELOCITY ARE ANALYZED. IT HAS BEEN SHOWN, AMONG THE OTHERS, THAT INCLUSION OF TRANSVERSAL SHEARS AND ROTATION INERTIA ESSENTIALLY INÂ°UENCES NONLINEAR DYNAMICS OF THE STUDIED BEAMS SUBJECTED TO TRANSVERSAL AND SIGN-CHANGEABLE LOAD ACTIONS.
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