Shock & Vibration, Aircraft/Aerospace, and Energy Harvesting, Volume 9

232 M.G. Tehrani et al. References 1. Faraday M (1831) On a peculiar class of acoustical figures and on certain forms assumed by a group of particles upon vibrating elastic surfaces. Philos Trans R Soc Lond 121:299–318 2. Mathieu E (1868) Mémorie sur le movement vibratoire d’une membrane de forme elliptique. Journal de Mathématiques Pures et Appliquées 13:137–203 3. Butikov E (2005) Parametric resonance in a linear oscillator at square-wave modulation. Eur J Phys 26:157–174 4. Nayfeh AH, Mook DT (1979) Nonlinear oscillations. John Wiley & Sons Inc, New York 5. Zavodney LD, Nayfeh AH, Sanchez NE (1989) The response of a single degree-of-freedom system with quadratic and cubic non-linearities to a principal parametric resonance. J Sound Vib 129:417–442 6. van Laarhoven BJH (2009) Stability analysis of parametric roll resonance, DCT 2009.062, 2009 7. Oueini SS, Nayfeh AH (1999) Single-mode control of a cantilever beam under principal parametric excitation. J Sound Vib 224(1):33–47 8. Ghandchi Tehrani M, Kalkowski MK, Elliott SJ (2014) Active control of parametrically exited systems. J Intell Mater Syst Struct, submit on July 2014 9. Jia Y, Seshia AA (2013) Directly and parametrically excited bi-stable vibration energy harvester for broadband operation. In: Solid-state sensors, actuators and microsystems, IEEE, Barcelona, pp 454–457 10. Jia Y, Yan J, Soga K, Seshia AA (2012) Parametrically excited MEMS vibration energy harvesters. Dig Tech Pap Power MEMS 12:215–218 11. Jia Y, Yan J, Soga K, Seshia AA (2013) Multi-frequency operation of a MEMS vibration energy harvester by accessing five orders of parametric resonance. J Phys Conf Ser, 476. doi:10.1088/1742-6596/476/1/012126 12. Jia Y, Yan J, Soga K, Seshia AA (2014) Parametric resonance for vibration energy harvesting with design techniques to passively reduce the initiation threshold amplitude. Smart Mater Struct 23:1–10 13. Nayfeh AH (1987) Parametric excitation of two internally resonant oscillators. J Sound Vib 119(1):95–109 14. Bonisoli E, Scapolan M, Ghandchi Tehrani M (2014) Internal stresses and unstable dynamics for harvesting design. Mech Syst Signal Process, submit on Oct 2014 15. Zaghari B, Ghandchi Tehrani M, Rustighi E (2014) Mechanical modeling of a vibration energy harvester with time-varying stiffness. In: Proceedings of the 9th international conference on structural dynamics, EURODYN 2014. Porto, 30 June–2 July, pp 2079–2085 16. Zaghari B, Rustighi E, Ghandchi Tehrani M (2014) Experimental study on harvesting energy from a parametrically excited system In: The 12th international conference on motion and vibration, MOVIC 2014, Sapporo, pp 1–13 17. Zaghari B, Ghandchi Tehrani M, Rustighi E (2014) Energy harvesting from a parametrically excited cantilever beam. J Sound Vib, submit on July 2014 18. Peeters B, Van der Auweraer H, Guillaume P, Leuridan J (2004) The PolyMAX frequency-domain method: a new standard for modal parameter estimation? J Shock Vib 11(3–4):395–409

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