NEAR THE RESONANCE BEHAVIOR OF A PERIODICALY FORCED PARTIALLY DISSIPATIVE THREE‐DEGREES‐OF‐FREEDOM MECHANICAL SYSTEM

Authors

  • PAWEŁ PIETRZAK INTERNATIONAL FACULTY OF ENGINEERING, LODZ UNIVERSITY OF TECHNOLOGY, 36 ŻWIRKI STR., 90‐001 LODZ, POLAND
  • MARTA OGIŃSKA INTERNATIONAL FACULTY OF ENGINEERING, LODZ UNIVERSITY OF TECHNOLOGY, 36 ŻWIRKI STR., 90‐001 LODZ, POLAND
  • TADEUSZ KRASUSKI INTERNATIONAL FACULTY OF ENGINEERING, LODZ UNIVERSITY OF TECHNOLOGY, 36 ŻWIRKI STR., 90‐001 LODZ, POLAND
  • KÉVIN FIGUEIREDO INTERNATIONAL FACULTY OF ENGINEERING, LODZ UNIVERSITY OF TECHNOLOGY, 36 ŻWIRKI STR., 90‐001 LODZ, POLAND
  • PAWEŁ OLEJNIK DEPARTMENT OF AUTOMATION, BIOMECHANICS AND MECHATRONICS, FACULTY OF MECHANICAL ENGINEERING, LODZ UNIVERSITY OF TECHNOLOGY, 1/15 STEFANOWSKI STR., 90‐924 LODZ, POLAND HTTP://ORCID.ORG/0000-0002-3310-0951

Abstract

IN THIS PAPER, A NONLINEAR THREE-DEGREES-OF-FREEDOM DYNAMICAL SYSTEM CONSISTING OF A VARIABLE-LENGTH PENDULUM MASS ATTACHED BY A MASSLESS SPRING TO THE FORCED SLIDER IS INVESTIGATED. NUMERICAL SOLUTION IS PRECEDED BY APPLICATION OF EULER-LAGRANGE EQUATION. VARIOUS TECHNIQUES LIKE TIME HISTORIES, PHASE PLANES, POINCARÉ MAPS AND RESONANCE PLOTS ARE USED TO OBSERVE AND IDENTIFY THE SYSTEM RESPONSES. THE RESULTS SHOW THAT THE VARIABLE-LENGTH SPRING PENDULUM SUSPENDED FROM THE PERIODICALLY FORCED SLIDER CAN EXHIBIT QUASI-PERIODIC, AND IN A RESONANCE STATE, EVEN CHAOTIC MOTIONS. IT WAS CONCLUDED THAT NEAR THE RESONANCE THE INFLUENCE OF COUPLING OF BODIES ON THE SYSTEM DYNAMICS CAN LEAD TO UNPREDICTABLE DYNAMICAL BEHAVIOR

Author Biography

PAWEŁ OLEJNIK, DEPARTMENT OF AUTOMATION, BIOMECHANICS AND MECHATRONICS, FACULTY OF MECHANICAL ENGINEERING, LODZ UNIVERSITY OF TECHNOLOGY, 1/15 STEFANOWSKI STR., 90‐924 LODZ, POLAND

DEPARTMENT OF AUTOMATION, BIOMECHANICS AND MECHATRONICS
DR HABIL. ENG. (ASSOCIATE PROFESSOR)

Downloads

Published

2018-02-02

Issue

Vol. 15 No. 5 (2018)

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).