메뉴 건너뛰기




Volumn 36, Issue 4, 2012, Pages 1529-1549

Parametric excitation of a piezoelectrically actuated system near Hopf bifurcation

Author keywords

Floquet theory; Flutter instability; Hopf bifurcation; Mathieu equation; MEMS; Micro beam

Indexed keywords

AC VOLTAGE; DAMPING COEFFICIENTS; DISCRETIZED MODELS; FLOQUET THEORY; FLUTTER INSTABILITY; MATHIEU EQUATION; MICRO BEAMS; MODAL EXPANSION; MULTIPLE-DEGREE-OF-FREEDOM; PARAMETRIC EXCITATIONS; PIEZOELECTRIC ACTUATION; PIEZOELECTRIC LAYERS; SINGLE DEGREE OF FREEDOM SYSTEMS; STABILITY ANALYSIS; TIME VARYING; TRANSVERSE MOTIONS; UPPER SURFACE; VARIATIONAL PRINCIPAL;

EID: 84855676803     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2011.09.031     Document Type: Article
Times cited : (20)

References (25)
  • 2
    • 0035151948 scopus 로고    scopus 로고
    • Nonlinear Mathieu equation and coupled resonance mechanism
    • El-Dib Y.O. Nonlinear Mathieu equation and coupled resonance mechanism. Journal of Chaos, Solitons and Fractals 2001, 12:705-720.
    • (2001) Journal of Chaos, Solitons and Fractals , vol.12 , pp. 705-720
    • El-Dib, Y.O.1
  • 3
    • 0038148078 scopus 로고    scopus 로고
    • Perturbation solution for secondary bifurcation in the quadratically-damped Mathieu equation
    • Ramani D.V., Keith W.L., Rand R.H. Perturbation solution for secondary bifurcation in the quadratically-damped Mathieu equation. Journal of Nonlinear Mechanics 2004, 39:491-502.
    • (2004) Journal of Nonlinear Mechanics , vol.39 , pp. 491-502
    • Ramani, D.V.1    Keith, W.L.2    Rand, R.H.3
  • 5
    • 0141495425 scopus 로고    scopus 로고
    • Mechanical domain coupled mode parametric resonance and amplification in a torsional mode micro electro mechanical oscillator
    • Baskaran R., Turner K.L. Mechanical domain coupled mode parametric resonance and amplification in a torsional mode micro electro mechanical oscillator. Journal of Micromechanics and Microengineering 2003, 13:701-707.
    • (2003) Journal of Micromechanics and Microengineering , vol.13 , pp. 701-707
    • Baskaran, R.1    Turner, K.L.2
  • 7
    • 77955303776 scopus 로고    scopus 로고
    • Dynamic Stability of Beams under Parametric Excitation, Ph.D.
    • Dissertation in Mechanical Engineering, National Institute of Technology Rourkela 769008, India, September, 2005.
    • S. Mohanty, Dynamic Stability of Beams under Parametric Excitation, Ph.D. Dissertation in Mechanical Engineering, National Institute of Technology Rourkela 769008, India, September, 2005.
    • Mohanty, S.1
  • 9
    • 33746253375 scopus 로고    scopus 로고
    • The damped nonlinear quasiperiodic Mathieu equation near 2:2:1 resonance
    • Abouhazim N., Rand R.H., Belhaq M. The damped nonlinear quasiperiodic Mathieu equation near 2:2:1 resonance. Nonlinear Dynamics 2006, 45:237-247.
    • (2006) Nonlinear Dynamics , vol.45 , pp. 237-247
    • Abouhazim, N.1    Rand, R.H.2    Belhaq, M.3
  • 10
    • 33847759961 scopus 로고    scopus 로고
    • Nonlinear dynamic analysis of electrostatically actuated resonant MEMS sensors under parametric excitation
    • Zhang W.M., Meng G. Nonlinear dynamic analysis of electrostatically actuated resonant MEMS sensors under parametric excitation. Journal of IEEE Sensors 2007, 7:370-380.
    • (2007) Journal of IEEE Sensors , vol.7 , pp. 370-380
    • Zhang, W.M.1    Meng, G.2
  • 11
    • 34748912413 scopus 로고    scopus 로고
    • High-order subharmonic parametric resonance of nonlinearly coupled micromechanical oscillators
    • Zhu J., Ru C.Q., Mioduchowski A. High-order subharmonic parametric resonance of nonlinearly coupled micromechanical oscillators. The European Physical Journal B 2007, 58:411-421.
    • (2007) The European Physical Journal B , vol.58 , pp. 411-421
    • Zhu, J.1    Ru, C.Q.2    Mioduchowski, A.3
  • 12
    • 62149107318 scopus 로고    scopus 로고
    • Analysis of non-linear vibrations of a microresonator under piezoelectric and electrostatic actuations
    • Zamanian M., Khadem S.E., Mahmoodi S.N. Analysis of non-linear vibrations of a microresonator under piezoelectric and electrostatic actuations. Journal of Mechanical Engineering Science 2009, 329-344.
    • (2009) Journal of Mechanical Engineering Science , pp. 329-344
    • Zamanian, M.1    Khadem, S.E.2    Mahmoodi, S.N.3
  • 13
    • 33748783355 scopus 로고    scopus 로고
    • Application of piezoelectric layers in electrostatic MEM actuators: controlling of pull-in voltage
    • Rezazadeh G., Tahmasebi A., Zubstov M. Application of piezoelectric layers in electrostatic MEM actuators: controlling of pull-in voltage. Journal of Microsystem Technologies 2006, 12:1163-1170.
    • (2006) Journal of Microsystem Technologies , vol.12 , pp. 1163-1170
    • Rezazadeh, G.1    Tahmasebi, A.2    Zubstov, M.3
  • 14
    • 58149475524 scopus 로고    scopus 로고
    • The effect of a piezoelectric layer on the mechanical behavior of an electrostatic actuated microbeam
    • Zamanian M., Khadem S.E., Mahmoodi S.N. The effect of a piezoelectric layer on the mechanical behavior of an electrostatic actuated microbeam. Journal of Smart Materials and Structures 2008, 17:065024. 15 pp.
    • (2008) Journal of Smart Materials and Structures , vol.17 , pp. 15
    • Zamanian, M.1    Khadem, S.E.2    Mahmoodi, S.N.3
  • 15
    • 60449083464 scopus 로고    scopus 로고
    • Piezoelectrically actuated microcantilevers: an experimental nonlinear vibration analysis
    • Mahmoodi S.N., Jalili N. Piezoelectrically actuated microcantilevers: an experimental nonlinear vibration analysis. Journal of Sensors and Actuators A 2009, 150:131-136.
    • (2009) Journal of Sensors and Actuators A , vol.150 , pp. 131-136
    • Mahmoodi, S.N.1    Jalili, N.2
  • 16
    • 67349249853 scopus 로고    scopus 로고
    • Electromechanical behavior of microbeams with piezoelectric and electrostatic actuation
    • Rezazadeh G., Tahmasebi A. Electromechanical behavior of microbeams with piezoelectric and electrostatic actuation. Sensory Imaging 2009, 10:15-30.
    • (2009) Sensory Imaging , vol.10 , pp. 15-30
    • Rezazadeh, G.1    Tahmasebi, A.2
  • 19
    • 76449095699 scopus 로고    scopus 로고
    • Static and dynamic stabilities of a microbeam actuated by a piezoelectric voltage
    • Rezazadeh G., Fathalilou M., Shabani R. Static and dynamic stabilities of a microbeam actuated by a piezoelectric voltage. Journal of Microsystem Technologies 2009, 15:1785-1791.
    • (2009) Journal of Microsystem Technologies , vol.15 , pp. 1785-1791
    • Rezazadeh, G.1    Fathalilou, M.2    Shabani, R.3
  • 20
    • 76349092295 scopus 로고    scopus 로고
    • Periodic solutions and stability for a weakly damped nonlinear Mathieu equation
    • El-Bassiouni A.F., Abdel-Khalil A. Periodic solutions and stability for a weakly damped nonlinear Mathieu equation. Journal of Physica Scripta 2010, 81:015008. 8 pp.
    • (2010) Journal of Physica Scripta , vol.81 , pp. 8
    • El-Bassiouni, A.F.1    Abdel-Khalil, A.2
  • 21
    • 79957749622 scopus 로고    scopus 로고
    • Stabilizing the pull-in instability of an electro-statically actuated micro-beam using piezoelectric actuation
    • Azizi S., et al. Stabilizing the pull-in instability of an electro-statically actuated micro-beam using piezoelectric actuation. Applied Mathematical Modelling 2011, 35(10):4796-4815.
    • (2011) Applied Mathematical Modelling , vol.35 , Issue.10 , pp. 4796-4815
    • Azizi, S.1
  • 24
    • 85014930960 scopus 로고    scopus 로고
    • Dynamic Stability of a Sandwich Beam Subjected to Parametric Excitation, M.Sc.
    • thesis, Department of Mechanical Engineering National University of Technology Deemed University 2006.
    • L. Mohanta, Dynamic Stability of a Sandwich Beam Subjected to Parametric Excitation, M.Sc. thesis, Department of Mechanical Engineering National University of Technology Deemed University 2006.
    • Mohanta, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.