Dynamics and control of a self-sustained electromechanical seismographs with time-varying stiffness

Meccanica

Volumn 44, Issue 4, 2009, Pages 355-368

  Hegazy, U H ^a  

^a AL AZHAR UNIVERSITY   (Palestine)

Author keywords

Active vibration control; Periodic time varying stiffness; Response curves; Seismographs

Indexed keywords

ACTIVE CONTROL METHODS; ACTIVE VIBRATION CONTROL; APPROXIMATE SOLUTION; DIFFERENT EFFECTS; DYNAMICS AND CONTROL; ELECTRICAL PARTS; ELECTROMECHANICAL SYSTEMS; METHOD OF MULTIPLE SCALE; NON-LINEAR DYNAMICS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NUMERICAL SIMULATION; PARAMETRIC AND EXTERNAL EXCITATIONS; PERIODIC TIME-VARYING STIFFNESS; PERTURBATION SOLUTIONS; RESPONSE CURVES; SYSTEM-BASED; TIME-VARYING STIFFNESS; VELOCITY FEEDBACK;

CONTROL SYSTEM ANALYSIS; ELECTROMECHANICAL DEVICES; NONLINEAR EQUATIONS; SEISMOGRAPHS; STIFFNESS; TIME VARYING SYSTEMS; VIBRATION CONTROL; VIBRATIONS (MECHANICAL);

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 67849119487     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-008-9171-1     Document Type: Article

References (18)

1. Nayfeh A.H., Mook D.T. (1995) Nonlinear oscillations. Wiley, New York
2. A.K. Bajaj 1987 Bifurcations in a parametrically excited nonlinear oscillator Int J Non-Linear Mech 22 47 59
3. W. Zhang M. Ye 1994 Local and global bifurcations of valve mechanism Nonlinear Dyn 6 301 316
4. L. Ng R. Rand 2002 Nonlinear effects on coexistence phenomenon in parametric excitation Nonlinear Dyn 33 73 89
5. K.W. Wang L.S. Lai 1996 Parametric control of structural vibrations via adaptable stiffness dynamic absorbers J Vib Acoust 118 41 47
6. Y.A. Amer U.H. Hegazy 2007 Resonance behavior of a rotor-active magnetic bearing with time-varying stiffness Chaos Solitons Fractals 34 4 1328 1345
7. U.H. Hegazy M.H. Eissa Y.A. Amer 2008 A time-varying stiffness rotor-AMB under combined resonance J Appl Mech 75 011011
8. F.M. Moukam Kakmeni S. Bowong C. Tchawoua E. Kaptouom 2004 Dynamics and chaos control in nonlinear electrostatic transducers Chaos Solitons Fractals 21 5 1093 1108
9. R. Yamapi S. Bowong 2006 Dynamics and chaos control of the self-sustained electromechanical device with and without discontinuity Commun Nonlinear Sci Numer Simul 11 3 355 375 (Pubitemid 41448053)
10. C.A. Kitio Kwuimy P. Woafo 2007 Dynamics of a self-sustained electromechanical system with flexible arm and cubic coupling Commun Nonlinear Sci Numer Simul 12 8 1504 1517
11. R. Yamapi J.B. Chabi Orou P Woafo 2003 Harmonic dynamics and transition to chaos in a nonlinear electromechanical system with parametric coupling Phys Scr 67 4 269 275
12. R. Yamapi F.M. Moukam Kakmeni J.B. Chabi Orou 2007 Nonlinear dynamics and synchronization of coupled electromechanical systems with multiple functions Commun Nonlinear Sci Numer Simul 12 4 543 567
13. M. Siewe Siewe F.M. Moukam Kakmeni S. Bowong C. Tchawoua 2006 Non-linear response of a self-sustained electromechanical seismographs to fifth resonance excitations and chaos control Chaos Solitons Fractals 29 2 431 445
14. J.C. Chedjou P. Woafo S. Domngang 2001 Shilinkov chaos and dynamics of a self-sustained electromechanical transducers J Vib Acoust 123 2 170 174
15. Y. Chembo Koumou P. Woafo 2000 Stability and chaos in electrostatic transducers Phys Scr 62 4 255 260
16. R. Yamapi P. Woafo 2006 Synchronized states in a ring of four mutually coupled self-sustained electromechanical devices Commun Nonlinear Sci Numer Simul 11 2 186 202 (Pubitemid 40864843)
17. P. Woafo H.B. Fostin J.C. Chedjou 1998 Dynamics of two nonlinearly coupled oscillators Phys Scr 57 2 195 200
18. F.K. Moukam S. Bowong C. Tchawoua 2002 Exponential stabilization of two nonlinearly coupled oscillators by an estimated state feedback Phys Scr 66 1 7 15