2080. Analytically optimal parameters of fractional‑order dynamic vibration absorber
Yongjun Shen1, Haibo Peng2, Shaofang Wen3, Shaopu Yang4, Haijun Xing5
1, 4, 5Department of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China
2Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China
3Transportation Institute, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China
E-mail: email@example.com, firstname.lastname@example.org, email@example.com, firstname.lastname@example.org, email@example.com
Received 9 November 2015; received in revised form 24 January 2016; accepted 17 February 2016
Abstract. In this paper the optimal parameters of the fractional-order Voigt type dynamic vibration absorber (DVA) are analytically studied for two cases, named as and optimization criteria. At first the approximately analytical solution is obtained by the averaging method when the primary system is subjected to harmonic excitation. Then the optimal fractional coefficient and order are obtained based on optimization criterion, which is designed to minimize the maximum amplitude magniﬁcation factor of the primary system. Based on H2 optimization criterion, the optimal fractional parameters are obtained to reduce the total vibration energy of the primary system over the whole-frequency range. The comparisons of the approximate solutions with the numerical ones in the two cases are fulfilled, and the results verify that the approximately analytical solutions are correct and satisfactorily precise. At last the control performance of the fractional-order Voigt type DVA is compared with the classical integer-order counterpart, and it could be concluded that the fractional-order DVA has superiority in vibration engineering, and fractional-order element could replace the traditional damper and spring simultaneously in some cases.
Keywords: dynamic vibration absorber, fractional derivative, parameters optimization, averaging method.
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Cite this article
Shen Yongjun, Peng Haibo, Wen Shaofang, Yang Shaopu, Xing Haijun Analytically optimal parameters of fractional‑order dynamic vibration absorber. Journal of Vibroengineering, Vol. 18, Issue 5, 2016, p. 2714‑2734.
© JVE International Ltd. Journal of Vibroengineering. Aug 2016, Vol. 18, Issue 5. ISSN 1392-8716