CHAOTIC VIBRATIONS IN FLEXIBLE MULTI-LAYERED BERNOULLI-EULER AND TIMOSHENKO TYPE BEAMS

Authors

  • J. AWREJCEWICZ
  • A. V. KRYSKO
  • M.V. ZHIGALOV
  • O.A. SALTYKOVA
  • V. A. KRYSKO

Keywords:

Abstract

NUMERICAL 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 IN°UENCES NONLINEAR DYNAMICS OF THE STUDIED BEAMS SUBJECTED TO TRANSVERSAL AND SIGN-CHANGEABLE LOAD ACTIONS.

Downloads

Published

2008-12-01

Issue

Vol. 5 No. 4 (2008)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

 

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).