Applied Mathematics and Mechanics >
Dynamic performance and parameter optimization of a half-vehicle system coupled with an inerter-based X-structure nonlinear energy sink
Received date: 2023-05-25
Online published: 2023-12-26
Supported by
the National Natural Science Foundation of China(12172153);the National Natural Science Foundation of China(51805216);the China Postdoctoral Science Foundation(2023M731668);the Major Project of Basic Science (Natural Science) of the Jiangsu Higher Education Institutions of China(22KJA410001);Project supported by the National Natural Science Foundation of China (Nos. 12172153 and 51805216), the China Postdoctoral Science Foundation (No. 2023M731668), and the Major Project of Basic Science (Natural Science) of the Jiangsu Higher Education Institutions of China (No. 22KJA410001)
Copyright
Inspired by the demand of improving the riding comfort and meeting the lightweight design of the vehicle, an inerter-based X-structure nonlinear energy sink (IX-NES) is proposed and applied in the half-vehicle system to enhance the dynamic performance. The X-structure is used as a mechanism to realize the nonlinear stiffness characteristic of the NES, which can realize the flexibility, adjustability, high efficiency, and easy operation of nonlinear stiffness, and is convenient to apply in the vehicle suspension, and the inerter is applied to replacing the mass of the NES based on the mass amplification characteristic. The dynamic model of the half-vehicle system coupled with the IX-NES is established with the Lagrange theory, and the harmonic balance method (HBM) and the pseudo-arc-length method (PALM) are used to obtain the dynamic response under road harmonic excitation. The corresponding dynamic performance under road harmonic and random excitation is evaluated by six performance indices, and compared with that of the original half-vehicle system to show the benefits of the IX-NES. Furthermore, the structural parameters of the IX-NES are optimized with the genetic algorithm. The results show that for road harmonic and random excitation, using the IX-NES can greatly reduce the resonance peaks and root mean square (RMS) values of the front and rear suspension deflections and the front and rear dynamic tire loads, while the resonance peaks and RMS values of the vehicle body vertical and pitching accelerations are slightly larger. When the structural parameters of the IX-NES are optimized, the vehicle body vertical and pitching accelerations of the half-vehicle system could reduce by 2.41% and 1.16%, respectively, and the other dynamic performance indices are within the reasonable ranges. Thus, the IX-NES combines the advantages of the inerter, X-structure, and NES, which improves the dynamic performance of the half-vehicle system and provides an effective option for vibration attenuation in the vehicle engineering.
Yong WANG, Peili WANG, Haodong MENG, Liqun CHEN . Dynamic performance and parameter optimization of a half-vehicle system coupled with an inerter-based X-structure nonlinear energy sink[J]. Applied Mathematics and Mechanics, 2024 , 45(1) : 85 -110 . DOI: 10.1007/s10483-024-3070-7
| 1 | RAJAMANI, R. Vehicle Dynamics and Control, Springer, New York (2012) |
| 2 | ZHOU, H. C., JIANG, Z., WANG, G. L., and ZHANG, S. P. Aerodynamic characteristics of isolated loaded tires with different tread patterns: experiment and simulation. Chinese Journal of Mechanical Engineering, 34, 1- 16 (2021) |
| 3 | DING, R. K., WANG, R. C., MENG, X. P., and CHEN, L. Energy consumption sensitivity analysis and energy-reduction control of hybrid electromagnetic active suspension. Mechanical Systems and Signal Processing, 134, 106301 (2019) |
| 4 | DU, H., and ZHANG, N. Constrained H∞ control of active suspension for a half-car model with a time delay in control. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 222, 665- 684 (2008) |
| 5 | WANG, Y., LI, S. M., CHENG, C., and SU, Y. Q. Adaptive control of a vehicle-seat-human coupled model using quasi-zero-stiffness vibration isolator as seat suspension. Journal of Mechanical Science and Technology, 32, 2973- 2985 (2018) |
| 6 | MO, C., and SUNWOO, M. A semiactive vibration absorber (SAVA) for automotive suspensions. International Journal of Vehicle Design, 29 (1-2), 83- 95 (2001) |
| 7 | MCKILLIP, D., SWAYZE, J., and MATHEY, J. Experimental method development for steering wheel system optimization with integral dynamic tuned absorber. SAE Technical Paper, 2275 (2005) |
| 8 | AUBERT, A. C., and HOWLE, A. Design issues in the use of elastomers in automotive tuned mass dampers. SAE Technical Paper, 2198 (2007) |
| 9 | WANG, R. R., JING, H., YAN, F. J., KARIMI, H. R., and CHEN, N. Optimization and finite-frequency H∞ control of active suspensions in in-wheel motor driven electric ground vehicles. Journal of the Franklin Institute, 352 (2), 468- 484 (2015) |
| 10 | LIU, M. C., GU, F. H., and ZHANG, Y. Z. Ride comfort optimization of in-wheel-motor electric vehicles with in-wheel vibration absorbers. Energies, 10 (10), en10101647 (2017) |
| 11 | DING, H., and CHEN, L. Q. Designs, analysis, and applications of nonlinear energy sinks. Nonlinear Dynamics, 100, 3061- 3107 (2020) |
| 12 | VAKAKIS, A. F., GENDELMAN, O. V., BERGMAN, L. A., MOJAHED, A., and GZAL, M. Nonlinear targeted energy transfer: state of the art and new perspectives. Nonlinear Dynamics, 108, 711- 741 (2022) |
| 13 | WEI, Y. M., WEI, S., ZHANG, Q. L., DONG, X. J., PENG, Z. K., and ZHANG, W. M. Targeted energy transfer of a parallel nonlinear energy sink. Applied Mathematics and Mechanics (English Edition), 40 (5), 621- 630 (2019) |
| 14 | DING, H., and SHAO, Y. F. NES cell. Applied Mathematics and Mechanics (English Edition), 43 (12), 1793- 1804 (2022) |
| 15 | CHEN, Y. Y., QIAN, Z. C., CHEN, K., TAN, P., and TESFAMARIAM, S. Seismic performance of a nonlinear energy sink with negative stiffness and sliding friction. Structural Control and Health Monitoring, 26 (11), e2437 (2019) |
| 16 | LI, X., MOJAHED, A., CHEN, L. Q., BERGMAN, L. A., and VAKAKIS, A. F. Shock response mitigation of a large-scale structure by modal energy redistribution facilitated by a strongly nonlinear absorber. Acta Mechanica Sinica, 38, 121464 (2022) |
| 17 | GUO, H. L., CHEN, Y. S., and YANG, T. Z. Limit cycle oscillation suppression of 2-DOF airfoil using nonlinear energy sink. Applied Mathematics and Mechanics (English Edition), 34 (10), 1277- 1290 (2013) |
| 18 | YANG, K., ZHANG, Y. W., DING, H., YANG, T. Z., LI, Y., and CHEN, L. Q. Nonlinear energy sink for whole-spacecraft vibration reduction. Journal of Vibration and Acoustics, 139 (2), 021011 (2017) |
| 19 | LIU, Y., MOJAHED, A., BERGMAN, L. A., and VAKAKIS, A. F. A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression. Nonlinear Dynamics, 96, 1819- 1845 (2019) |
| 20 | XUE, J., ZHANG, Y., DING, H., and CHEN, L. Q. Vibration reduction evaluation of a linear system with a nonlinear energy sink under a harmonic and random excitation. Applied Mathematics and Mechanics (English Edition), 41, 1- 14 (2020) |
| 21 | CHEN, J. E., LI, J. L., YAO, M. H., LIU, J., ZHANG, J. H., and SUN, M. Nonreciprocity of energy transfer in a nonlinear asymmetric oscillator system with various vibration states. Applied Mathematics and Mechanics (English Edition), 44 (5), 727- 744 (2023) |
| 22 | LIU, Y., and WANG, Y. Vibration suppression of a linear oscillator by a chain of nonlinear vibration absorbers with geometrically nonlinear damping. Communications in Nonlinear Science and Numerical Simulation, 118, 107016 (2023) |
| 23 | SMITH, M. C. Synthesis of mechanical networks: the inerter. IEEE Transactions on Automatic Control, 47 (10), 1648- 1662 (2002) |
| 24 | WANG, Y., DING, H., and CHEN, L. Q. Averaging analysis on a semi-active inerter-based suspension system with relative-acceleration-relative-velocity control. Journal of Vibration and Control, 26 (13-14), 1199- 1215 (2020) |
| 25 | ZHANG, X. L., GENG, C., NIE, J. M., and GAO, Q. The missing mem-inerter and extended mem-dashpot found. Nonlinear Dynamics, 101, 835- 856 (2020) |
| 26 | WANG, Y., JIN, X. Y., ZHANG, Y. S., DING, H., and CHEN, L. Q. Dynamic performance and stability analysis of an active inerter-based suspension with time-delayed acceleration feedback control. Bulletin of the Polish Academy of Sciences-Technical Sciences, 70 (2), e140687 (2022) |
| 27 | JIANG, J. Z., MATAMOROS-SANCHEZ, A. Z., GOODALL, R. M., and SMITH, M. C. Passive suspensions incorporating inerters for railway vehicles. Vehicle System Dynamics, 50 (S1), 263- 276 (2012) |
| 28 | WANG, Y., LI, H. X., MENG, H. D., and WANG, Y. Dynamic characteristics of underframe semi-active inerter-based suspended device for high-speed train based on LQR control. Bulletin of the Polish Academy of Sciences-Technical Sciences, 70 (4), e141722 (2022) |
| 29 | YANG, J., JIANG, J. Z., and NEILD, S. A. Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators. Nonlinear Dynamics, 99, 1823- 1839 (2020) |
| 30 | 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 and Health Monitoring, 27 (7), e2604 (2020) |
| 31 | LU, Z. Q., GU, D. H., DING, H., LACARBONARA, W., and CHEN, L. Q. A ring vibration isolator enhanced by shape memory pseudoelasticity. Applied Mathematical Modelling, 100, 1- 15 (2021) |
| 32 | WANG, Y., LI, H. X., JIANG, W. A., DING, H., and CHEN, L. Q. A base excited mixed-connected inerter-based quasi-zero stiffness vibration isolator with mistuned load. Mechanics of Advanced Materials and Structures, 29 (25), 4224- 4242 (2022) |
| 33 | HU, Y., and CHEN, M. Z. Q. Performance evaluation for inerter-based dynamic vibration absorbers. International Journal of Mechanical Sciences, 99, 297- 307 (2015) |
| 34 | ZHANG, S. Y., JIANG, J. Z., and NEILD, S. A. Optimal configurations for a linear vibration suppression device in a multi-storey building. Structural Control and Health Monitoring, 24 (3), e1887 (2017) |
| 35 | 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) |
| 36 | JAVIDIALESAADI, A., and WIERSCHEM, N. E. An inerter-enhanced nonlinear energy sink. Mechanical Systems and Signal Processing, 129, 449- 454 (2019) |
| 37 | ZHANG, Z., LU, Z. Q., DING, H., and CHEN, L. Q. An inertial nonlinear energy sink. Journal of Sound and Vibration, 405, 34- 47 (2019) |
| 38 | CHEN, H. Y., MAO, X. Y., DING, H., and CHEN, L. Q. Elimination of multimode resonances of composite plate by inertial nonlinear energy sinks. Mechanical Systems and Signal Processing, 135, 106383 (2020) |
| 39 | ZHANG, Z., DING, H., ZHANG, Y. W., and CHEN, L. Q. Vibration suppression of an elastic beam with boundary inerter-enhanced nonlinear energy sinks. Acta Mechanica Sinica, 37, 387- 401 (2021) |
| 40 | JING, X. J. The X-structure/mechanism approach to beneficial nonlinear design in engineering. Applied Mathematics and Mechanics (English Edition), 43, 979- 1000 (2022) |
| 41 | YAN, G., ZOU, H. X., WANG, S., ZHAO, L. C., WU, Z. Y., and ZHANG, W. M. Bio-inspired vibration isolation: methodology and design. ASME Applied Mechanics Reviews, 73 (2), 020801 (2021) |
| 42 | YAN, G., ZOU, H. X., WANG, S., ZHAO, L. C., GAO, Q. H., TAN, T., and ZHANG, W. M. Large stroke quasi-zero stiffness vibration isolator using three-link mechanism. Journal of Sound and Vibration, 478, 115344 (2020) |
| 43 | YAN, G., WU, Z. Y., WEI, X. S., WANG, S., ZOU, H. X., ZHAO, L. C., QI, W. H., and ZHANG, W. M. Nonlinear compensation method for quasi-zero stiffness vibration isolation. Journal of Sound and Vibration, 523, 16743 (2021) |
| 44 | WANG, X., MA, T. B., REN, H. L., and NING, J. G. A local pseudo arc-length method for hyperbolic conservation laws. Acta Mechanica Sinica, 30, 956- 965 (2014) |
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