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)

Published

2018-02-02

Issue

Section

Articles