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S9 Fenômenos Não-Lineares e Caóticos em Engenharia |
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Title:
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APPLICATION OF THE CENTER MANIFOLD THEORY TO THE SLEWING FLEXIBLE NON-IDEAL STRUTURE UNDER LARGE DEFLECTIONS : A CASE STUDY.
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Summary :
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IN THIS PAPER IS ANALISED THE DYNAMICAL BEHAVIOUR OF A SLEWING FLEXIBLE STRUCTURE UNDER LARGE DEFLECTIONS. THE DYNAMICS FROM THE ORIGINAL (COMPLETE) GOVERNING EQUATIONS OF MOTION ARE REDUCED TO THE CENTER MANIFOLD IN THE NEIGHBORHOOD OF AN EQUILIBRIUM SOLUTION WITH THE PROPOSAL OF LOCALLY STUDY
THE STABILITY OF THE SYSTEM. IN THIS ANALYSED EQUILIBRIUM POINT, A HOPF BIFURCATION OCCURS. IN THIS REGION, WERE FOUND VALUES FOR THE CONTROL PARAMETER (STRUCTURAL DAMPING COEFICIENT) WHERE THE SYSTEM IS UNSTABLE AND VALUES WHERE THE SYSTEM STABILITY IS ASSURED (PERIODIC MOTION). THIS LOCAL ANALYSIS OF THE SYSTEM REDUCED TO THE CENTER MANIFOLD ASSURES THE STABLE/UNSTABLE BEHAVIOUR OF THE ORIGINAL SYSTEM AROUND A KNOWN SOLUTION. |
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Author :
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Balthazar, José Manoel
Fenili, André 0
Mook, Dean T.
Weber, Hans Ingo
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Paper View :
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