2085. Optimized modeling and experiment test of a fluid inerter
Yujie Shen1, Long Chen2, Yanling Liu3, Xiaoliang Zhang4, Xiaofeng Yang5
1, 5School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China
2, 3, 4Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China
E-mail: email@example.com, firstname.lastname@example.org, email@example.com, firstname.lastname@example.org, email@example.com
Received 1 February 2016; received in revised form 14 July 2016; accepted 8 August 2016
Abstract. This paper presents the fluid structure of the third passive vibration isolation element inerter. The fluid inerter ideally has the same characteristic that the force applying to the two terminals is proportional to the relative acceleration as the ball-screw inerter and rack-and-pinion inerter. An optimized nonlinear model of the fluid inerter is introduced, and the effect of nonlinearities compromising friction, oil density and viscosity of the fluid are discussed and analyzed. Simulations show that the friction has a great effect on the dynamic performance of fluid inerter in low frequency and the influence of the viscosity is not negligible. The damping force and the inertia force will become larger with the increase of the frequency and the inertia force will become more and more apparent in higher frequency. Furthermore, experiments are carried out to test the effectiveness of the fluid inerter. Results show that the optimized nonlinear model of the fluid inerter is deemed effective.
Keywords: fluid inerter, structure design, nonlinear, model, experiment.
 Smith M. C. Synthesis of mechanical networks: the inerter. IEEE Transactions on Automatic Control, Vol. 47, Issue 10, 2002, p. 1648‑1662.
 Chen M. Z. Q., Papageorgiou C., Scheibe F., Wang F. C., Smith M. C. The missing mechanical circuit element. IEEE Circuit and System Magazine, Vol. 9, Issue 1, 2009, p. 10‑26.
 Chen M. Z. Q., Smith M. C. Restricted complexity network realizations for passive mechanical control. IEEE Transactions on Automatic Control, Vol. 54, Issue 10, 2009, p. 2290‑2301.
 Jiang J. Z., Smith M. C. Regular positive-real functions and five-element network synthesis for electrical and mechanical networks. IEEE Transactions on Automatic Control, Vol. 56, Issue 6, 2011, p. 1275‑1290.
 Shi H. L., Luo R., Wu P. B., Zeng J., Guo J. Y. Application of DVA theory in vibration reduction of carbody with suspended equipment for high-speed EMU. Science China Technological Sciences, Vol. 57, 2014, p. 1425‑1438.
 Sun H. L., Zhang P. Q., Chen H. B. Application of dynamic vibration absorbers in structural vibration control under multi-frequency harmonic excitations. Applied Acoustics, Vol. 69, 2008, p. 1361‑1367.
 Marian L., Giaralis A. Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems. Probabilistic Engineering Mechanics, Vol. 38, 2014, p. 156‑164.
 Chen M. Z. Q., Hu Y. L., Huang L. X., Chen G. R. Influence of inerter on natural frequencies of vibration systems. Journal of Sound and Vibration, Vol. 333, Issue 7, 2014, p. 1874‑1887.
 Smith M. C., Wang F. C. Performance benefits in passive vehicle suspensions employing inerters. Vehicle System Dynamics, Vol. 42, Issue 4, 2004, p. 235‑257.
 Papageorgiou C., Smith M. C. Positive real synthesis using matrix inequalities for mechanical networks: application to vehicle suspension. IEEE Transactions on Control System Technology, Vol. 14, Issue 3, 2006, p. 423‑434.
 Kuznetsov A., Mammadov M., Sultan I., Hajilarov R. Optimization of improved suspension system with inerter device of the quarter-car model in vibration analysis. Archive of Applied Mechanics, Vol. 81, Issue 10, 2011, p. 1427‑1437.
 Hu Y. L., Chen M. Z. Q., Shu Z. Passive vehicle suspensions employing inerters with multiple performance requirements. Journal of Sound and Vibration, Vol. 333, Issue 8, 2014, p. 2212‑2225.
 Wang F. C., Liao M. K., Liao B. H., Chan H. A. The performance improvements of train suspension systems with mechanical networks employing inerters. Vehicle System Dynamics, Vol. 47, Issue 7, 2009, p. 805‑830.
 Wang F. C., Liao M. K. The lateral stability of train suspension systems employing inerters. Vehicle System Dynamics, Vol. 48, Issue 5, 2010, p. 619‑643.
 Wang F. C., Hong M. F., Chen C. W. Building suspension with inerters. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 224, Issue 8, 2010, p. 1605‑1616.
 Evangelou S., Limebeer D. J. N., Sharp R. S. Steering compensation for high performance motorcycles. Proceedings of the 43rd IEEE Conference on Design and Control, 2004, p. 749‑754.
 Papageorgiou C., Houghton N. E., Smith M. C. Experimental testing and analysis of inerter devices. Journal of Dynamic Systems, Measurement, and Control, Vol. 131, 2009, p. 1‑11.
 Papageorgiou C., Smith M. C. Laboratory experimental testing of inerters. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, Seville, Spain, 2005, p. 3351‑3356.
 Wang F. C., Su W. J. Impact of inerter nonlinearities on vehicle suspension control. Vehicle System Dynamics, Vol. 46, Issue 7, 2008, p. 575‑595.
 Wang F. C., Su W. J. Inerter nonlinearities and the impact on suspension control. Proceedings of American Control Conference, Washington, USA, 2008, p. 3245-3250.
 Wang F. C., Hong M. F., Lin T. C. Designing and testing a hydraulic inerter. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 225, Issue 1, 2011, p. 66‑72.
 Glover A. R., Houghton N. E., Long P. J. G., Smith M. C. Force-Controlling Hydraulic Device. International Patent Application No: PCT/GB2010/001491, 2009.
 Swift S. J., Smith M. C., Glover A. R., Papageorgious C., Gartner B., Houghton N. E. Design and modelling of a fluid inerter. International Journal of Control, Vol. 86, Issue 11, 2013, p. 2035‑2051.
 Massey B. S. Mechanics of Fluids (6th Ed.). Chapman and Hall, London, 1997.
Cite this article
Shen Yujie, Chen Long, Liu Yanling, Zhang Xiaoliang, Yang Xiaofeng Optimized modeling and experiment test of a fluid inerter. Journal of Vibroengineering, Vol. 18, Issue 5, 2016, p. 2789‑2800.
© JVE International Ltd. Journal of Vibroengineering. Aug 2016, Vol. 18, Issue 5. ISSN 1392-8716