Abstract
Although nonlinearity in dynamical systems have been of concern for many years due to its unpredictable effects, researchers and engineers have recently begun to incorporate it into mechanical and mechatronic devices to improve their performance, make them compact and reduce their weight. This paper presents some applications where geometrical nonlinear stiffness is adopted to beneficial use. Vibration energy harvesters, isolators and micro devices for flight are considered, and the advantages of incorporating nonlinearity is emphasized. A fundamental investigation is conducted on a simple model of nonlinear oscillator consisting of linear springs specifically arranged.
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References
Worden, K., Tomlinson, G.R.: Nonlinearity in Structural Dynamics: Detection, Identification and Modelling. Institute of Physics Publishing, Bristol (2001)
Stephen, N.G.: On energy harvesting from ambient vibration. J. Sound Vib. 293, 409–425 (2006)
Brennan, M.J., Gatti, G.: Harvesting energy from time-limited harmonic vibrations: mechanical considerations. J. Vib. Acoust. 139, 051019 (2017)
Ramlan, R., Brennan, M.J., Mace, B.R., Kovacic, I.: Potential benefits of a non-linear stiffness in an energy harvesting device. Nonlinear Dynam. 59, 545–558 (2010)
Ibrahim, R.A.: Recent advances in nonlinear passive vibration isolators. J. Sound Vib. 314, 371–452 (2008)
Brennan, M.J., Gatti, G.: The characteristics of a nonlinear vibration neutraliser. J. Sound Vib. 331, 3158–3171 (2012)
Gatti, G., Kovacic, I., Brennan, M.J.: On the response of a harmonically excited two degree-of-freedom system consisting of a linear and a non-linear quasi-zero stiffness oscillator. J. Sound Vib. 329, 1823–1835 (2010)
Carrella, A., Brennan, M.J., Waters, T.P., Lopes Jr., V.: Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness. Int. J. Mech. Sci. 55, 22–29 (2012)
Ma, K.Y., Chirarattananon, P., Fuller, S.B., Wood, R.J.: Controlled flight of a biologically inspired, insect-scale robot. Science 340, 603–607 (2013)
Tang, B., Brennan, M.J.: On the dynamic behaviour of the “click” mechanism in dipteran flight. J. Theor. Biol. 289, 173–180 (2011)
Kok, J.M., Lau, G.K., Chahl, J.S.: On the aerodynamic efficiency of insect-inspired microaircraft employing asymmetrical flapping. J. Aircr. 53, 800–810 (2016)
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Gatti, G., Brennan, M.J., Tang, B. (2019). Fundamental Analysis on the Intentional Use of Nonlinear Stiffness in Some Dynamical Systems. In: Carbone, G., Gasparetto, A. (eds) Advances in Italian Mechanism Science. IFToMM ITALY 2018. Mechanisms and Machine Science, vol 68. Springer, Cham. https://doi.org/10.1007/978-3-030-03320-0_21
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DOI: https://doi.org/10.1007/978-3-030-03320-0_21
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