Study on a Nonlinear Oscillator of Elastic String and its Application in Energy Harvesting

Abstract:

his paper investigates the nonlinear oscillation of elastic string loaded a concentrated mass in the middle, and vibrating in transverse direction. Through a simple device, free undamped oscillation and forced damped oscillation are studied in detail, which reveals the nonlinear characteristic under oscillation. By tuning the stretch ratio and the initial length of the elastic string, the nonlinear performance can be adjusted in terms of excitation frequencies. This property can be used in energy harvesting from environment vibration, which allows the harvesting device work over a wider range of frequencies and improves the ability of energy harvesting.

• Periodical: Advanced Materials Research (Volume 629)
• Pages: 900-905
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.629.900
• Online since: December 2012
• Authors: Long Han Xie
• Keywords: Elastic String, Energy Harvesting, Nonlinear Oscillating

References

[1] Gomez BJ, Repetto CE, Stia CR, and Welti R. Oscillations of a string with concentrated masses. European Journal of Physics 2007; 28: 961-975.

DOI: 10.1088/0143-0807/28/5/019

[2] Rayleigh JWS. The theory of Sound. 2nd ed. New York: Dover; (1954).

[3] Parmlei S, Zobrist T, Clough T, Perez-Miller A, Makela M and Yu R. Vibrational properties of a loaded string. Amercan Journal of Physics 1995. 63: 547-553.

DOI: 10.1119/1.18089

[4] Santos FC, Coutinho YA, Ribeiro-Pinto L and Tort AC. The motion of two masses coupled to a finite mass spring. European Journal of Physics 2006; 27: 1037-1051.

DOI: 10.1088/0143-0807/27/5/003

[5] Abramowitz M, Stegun IA. Handbook of Mathematical Functions. New York: Dover; (1972).

[6] Moiseev NN. Asymptotic Methods of the Non-Linear Science. Moscow: Nauka; (1981).