Enhancing suspension vibration reduction by diagonal inerter

doi:10.1007/s10483-022-2911-9

Abstract

Abstract: The diagonal inerter is integrated into a suspension vibration reduction system (SVRS). The dynamic model of the SVRS with diagonal inerter and damping is established. The dynamic model is of strong geometric nonlinearity. The retaining nonlinearity up to cubic terms is validated under impact excitation. The conditions omitting the static deformation are determined. The effects of the diagonal inerter on the vibration reduction performance of the SVRS are explored under impact and random excitations. The vibration reduction performance of the proposed SVRS with both diagonal inerter and damping is better than that of either the SVRS without them or the SVRS with the diagonal damping only.

Key words: suspension vibration reduction system (SVRS), diagonal inerter, verification calculation, geometric nonlinearity

2010 MSC Number:

70K40

Meng YANG, Xingjiu LUO, Xiaoqiang ZHANG, Hu DING, Liqun CHEN. Enhancing suspension vibration reduction by diagonal inerter. Applied Mathematics and Mechanics (English Edition), 2022, 43(10): 1531-1542.

TrendMD

References

[1] YANG, M., ZHANG, J., and LUO, X. J. Research on new types of suspension vibration reduction systems (SVRSs) with geometric nonlinear damping. Mathematical Problems in Engineering, 2021, 6627693(2021)
[2] SMITH, M. C. Synthesis of mechanical networks:the inerter. IEEE Transactions on Automatic Control, 47(10), 1648-1662(2002)
[3] HU, Y. L., CHEN, M. Z. Q., SHU, Z., and HUANG, L. X. Analysis and optimisation for inerterbased isolators via fixed-point theory and algebraic solution. Journal of Sound and Vibration, 346, 17-36(2015)
[4] CAO, F., CHEN, M. Z. Q., and HU, Y. L. Seismic isolation performance evaluation for a class of inerter-based low-complexity isolators. Shock and Vibration, 2020, 8837822(2020)
[5] HU, Y. L. and CHEN, M. Z. Q. Low-complexity passive vehicle suspension design based on element-number-restricted networks and low-order admittance networks. Journal of Dynamic Systems Measurement and Control-Transactions of the ASME, 140(10), 101014(2018)
[6] SHEN, W. A., LONG, Z. T., CAI, L., NIYITANGAMAHORO, A., ZHU, H. P., LI, Y. M., and QIU, C. X. An inerter-based electromagnetic damper for civil structures:modeling, testing, and seismic performance. Mechanical Systems and Signal Processing, 173, 109070(2022)
[7] WANG, H., SHEN, W. A., LI, Y. M., ZHU, H. P., and ZHU, S. Y. Dynamic behavior and seismic performance of base-isolated structures with electromagnetic inertial mass dampers:analytical solutions and simulations. Engineering Structures, 246, 113072(2021)
[8] SHEN, W. A., NIYITANGAMAHORO, A., FENG, Z. Q., and ZHU, H. P. Tuned inerter dampers for civil structures subjected to earthquake ground motions:optimum design and seismic performance. Engineering Structures, 198, 109470(2019)
[9] WAGG, D. J. A review of the mechanical inerter:historical context, physical realisations and nonlinear applications. Nonlinear Dynamics, 104(1), 13-34(2021)
[10] MA, R. S., BI, K. M., and HAO, H. Inerter-based structural vibration control:a state-of-the-art review. Engineering Structures, 243, 112655(2021)
[11] XU, Q., LUO, Y. Q., YAO, H. L., ZHAO, L. C., and WEN, B. C. Eliminating the fluid-induced vibration and improving the stability of the rotor/seal system using the inerter-based dynamic vibration absorber. Shock and Vibration, 2019, 1746563(2019)
[12] CHANG, W. W., JIN, X. L., HUANG, Z. L., and CAI, G. Q. Random response of nonlinear system with inerter-based dynamic vibration absorber. Journal of Vibration Engineering & Technologies, 9(8), 1903-1909(2021)
[13] QIAN, F. and ZUO, L. Tuned nonlinear spring-inerter-damper vibration absorber for beam vibration reduction based on the exact nonlinear dynamics model. Journal of Sound and Vibration, 509, 116246(2021)
[14] ZHANG, Y. W., LU, Y. N., ZHANG, W., TENG, Y. Y., YANG, H. X., YANG, T. Z., and CHEN, L. Q. Nonlinear energy sink with inerter. Mechanical Systems and Signal Processing, 125, 52-64(2019)
[15] DUAN, N., WU, Y. H., SUN, X. M., and ZHONG, C. Q. Vibration control of conveying fluid pipe based on inerter enhanced nonlinear energy sink. IEEE Transactions on Circuits and Systems-I:Regular Papers, 68(4), 1610-1623(2021)
[16] JAVIDIALESAADI, A. and WIERSCHEM, N. E. An inerter-enhanced nonlinear energy sink. Mechanical Systems and Signal Processing, 129, 449-454(2019)
[17] ZENG, Y. C., DING, H., DU, R. H., and CHEN, L. Q. A suspension system with quasi-zero stiffness characteristics and inerter nonlinear energy sink. Journal of Vibration and Control, 28(1-2), 143-158(2020)
[18] KAKOU, P. and BARRY, O. Simultaneous vibration reduction and energy harvesting of a nonlinear oscillator using a nonlinear electromagnetic vibration absorber-inerter. Mechanical Systems and Signal Processing, 156, 107607(2021)
[19] GUO, C. A. and LUO, A. C. J. Symmetric and asymmetric periodic motions of a nonlinear oscillator with a tuned mass damper inerter. The European Physical Journal Special Topics, 230(18-20), 3533-3549(2021)
[20] DE DOMENICO, D. and RICCIARDI, G. Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems. Earthquake Engineering & Structural Dynamics, 47(12), 2539-2560(2018)
[21] RADU, A., LAZAR, I. F., and NEILD, S. A. Performance-based seismic design of tuned inerter dampers. Structural Control & Health Monitoring, 26(5), e2346(2019)
[22] ZHANG, R. F., WU, M. J., REN, X. S., and PAN, C. Seismic response reduction of elastoplastic structures with inerter systems. Engineering Structures, 230, 111661(2021)
[23] WANG, Y., LI H. X., CHENG, C., DING, H., and CHEN, L. Q. Dynamic performance analysis of a mixed-connected inerter-based quasi-zero stiffness vibration isolator. Structural Control & Health Monitoring, 27(10), e2604(2020)
[24] WANG, Y., LI, H. X., JIANG, W. A., DING, H., and CHEN, L. Q. A base excited mixedconnected inerter-based quasi-zero stiffness vibration isolator with mistuned load. Mechanics of Advanced Materials and Structures (2021) https://doi.org/10.1080/15376494.2021.1922961
[25] LIU, X. F., JIANG, J. Z., HARRISON, A., and NA, X. X. Truck suspension incorporating inerters to minimise road damage. Proceedings of the Institution of Mechanical Engineers Part D-Journal of Automobile Engineering, 234(10-11), 2693-2705(2020)
[26] WANG, Y., WANG, R. C., MENG, H. D., and ZHANG, B. Y. An investigation of the dynamic performance of lateral inerter-based vibration isolator with geometrical nonlinearity. Archive of Applied Mechanics, 89(9), 1953-1972(2019)
[27] MORAES, F. D., SILVEIRA, M., and GONCALVES, P. J. P. On the dynamics of a vibration isolator with geometrically nonlinear inerter. Nonlinear Dynamics, 93(3), 1325-1340(2018)
[28] YANG, J., JIANG, J. Z., and NEILD, S. A. Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators. Nonlinear Dynamics, 99(3), 1823-1839(2019)
[29] WANG, Y., LI, H. X., CHENG, C., DING, H., and CHEN, L. Q. A nonlinear stiffness and nonlinear inertial vibration isolator. Journal of Vibration and Control, 27(11-12), 1336-1352(2020)
[30] LIU, C. R., YU, K. P., LIAO, B. P., and HU, R. P. Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter. Communications in Nonlinear Science and Numerical Simulation, 95, 105654(2021)
[31] LIAO, X., ZHANG, N., DU, X. F., and ZHANG, W. J. Theoretical modeling and vibration isolation performance analysis of a seat suspension system based on a negative stiffness structure. Applied Sciences-Basel, 11(15), 6928(2021)
[32] ZHANG, J. N., YANG, S. P., LI, S. H., LU, Y. J., and DING, H. Influence of vehicle-road coupled vibration on tire adhesion based on nonlinear foundation. Applied Mathematics and Mechanics (English Edition), 42(5), 607-624(2021) https://doi.org/10.1007/s10483-021-2724-6
[33] LU, Z. Q., LI, K., DING, H., and CHEN, L. Q. Nonlinear energy harvesting based on a modified snap-through mechanism. Applied Mathematics and Mechanics (English Edition), 40(1), 167-180(2019) https://doi.org/10.1007/s10483-019-2408-9
[34] WANG, D., HAO, Z. F., CHEN, F. Q., and CHEN, Y. S. Nonlinear energy harvesting with dual resonant zones based on rotating system. Applied Mathematics and Mechanics (English Edition), 42(2), 275-290(2021) https://doi.org/10.1007/s10483-021-2698-8
[35] CHEN, L. Q., LI, X., LU, Z. Q., ZHANG, Y. W., and DING, H. Dynamic effects of weights on vibration reduction by a nonlinear energy sink moving vertically. Journal of Sound and Vibration, 451, 99-119(2019)