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S9 Fenômenos Não-Lineares e Caóticos em Engenharia |
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Title:
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AN INVESTIGATION INTO MECHANISMS OF LOSS OF SAFE BASINS IN A 2 D.O.F.NONLINEAR COUPLED OSCILLATOR
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Summary :
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IN THIS WORK WE CONSIDER THE TRANSIENT STABILITY OF COUPLED MOTIONS OF A 2 D.O.F. NONLINEAR OSCILLATOR THAT CAN REPRESENT, FOR EXAMPLE, THE MOTIONS OF A SEA VESSEL UNDER THE ACTION OF TRAINS OF REGULAR LATERAL WAVES. INSTABILITY IS STUDIED AS THE ESCAPE OF THE SYSTEM FROM A SAFE POTENTIAL WELL. THE SET OF INITIAL CONDITIONS IN PHASE SPACE THAT LEAD TO ACCEPTABLE MOTIONS CONSTITUTES ITS SAFE BASIN. WE INVESTIGATE THE EVOLUTION OF THESE SAFE BASINS UNDER VARIATION OF PARAMETERS SUCH AS FREQUENCY AND AMPLITUDE OF WAVES, AND AN INTERNAL TUNING PARAMETER. COMPLEX NONLINEAR PHENOMENA ARE KNOWN TO PLAY AN IMPORTANT ROLE IN DETERMINING THE LOSS OF SAFE BASINS AS, SAY, WAVE AMPLITUDE IS INCREASED. WE THEREFORE INVESTIGATE THOSE PROCESSES, AND ATTEMPT TO CLASSIFY THEM IN TERMS OF THEIR SPEED RELATIVE TO CHANGES IN PARAMETER VALUES. "MECHANISM BASINS" ARE PRODUCED DEPICTING REGIONS OF PARAMETER SPACE IN WHICH RAPID OR SLOW LOSSES OF SAFE BASIN ARE OBSERVED. WE PROPOSE THAT A COMPREHENSIVE UNDERSTANDING OF MECHANISMS OF LOSS OF SAFE BASINS CAN BE A VALUABLE TOOL IN ASSESSING STABILITY PROPERTIES OF THESE SYSTEMS, AND WE GIVE A CONCEPTUAL VIEW OF HOW SUCH INFORMATION COULD BE USED. |
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Author :
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de Souza, Jesse Rebello
Rodrigues, Miesher Lage
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Paper View :
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