Abstract
Modelling and simulation of driving dynamics is the prerequisite and basis for the dynamics performance and test design of the wheeled launch system (WLS). With the improvement of dynamics performances of the WLS, a fast and efficient dynamics computational method for large-scale multibody systems is urgently needed. This research proposes a dynamics model to investigate the characteristics of the WLS using the transfer matrix method for multibody systems, and the corresponding topology and dynamics equations are established. Based on the inverse fast Fourier transform (IFFT) method, the mathematical model of road roughness for parallel wheels is reconstructed. Combined with the Monte Carlo method, the dynamic characteristics of WLS under random road surface excitation are simulated and discussed. The analysis results indicate that as road roughness grade and driving speed increase, the vibration amplitude of acceleration of the WLS becomes larger. Within the normal speed, the influence of road excitation on the vehicle body is much greater than vehicle speed. Modal test and driving test validate the correctness of dynamics modelling and simulation. This study can be expanded to other multibody systems that contain probabilistic uncertainties for dynamics modelling and analysis.
摘要
轮式发射系统行驶动力学建模与仿真是其动力学性能和试验设计的前提和基础, 日益提高的轮式发射系统动态性能迫切需要一种快速高效的大型多体系统动力学计算方法. 本文采用多体系统传递矩阵法建立了轮式发射系统的动力学模型, 给出了相应的拓扑图和动力学方程. 此外, 通过快速傅里叶逆变换重构了平行车轮的路面不平度, 结合蒙特卡罗方法对随机路面激励下轮式发射系统的动力学特性进行了模拟和讨论. 分析结果表明, 随着路面不平度级别和行驶速度的增加, 轮式发射系统的振动加速度幅值越大, 在正常车速下, 路面激励对车体的影响远大于车速. 模态试验和行驶试验验证了动力学建模和仿真的正确性. 本文可拓展到其他包含概率不确定性的多体系统动力学建模和分析.
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References
W. Schiehlen, Multibody Systems Handbook (Springer, Berlin, 1990).
J. Wittenburg, Dynamics of Multibody System (Springer, New York, 2008).
T. R. Kane, P. W. Likins, and D. A. Levinson, Spacecraft dynamics (Mc Graw-Hill Book Company, New York, 1983).
X. Rui, J. Zhang, X. Wang, B. Rong, B. He, and Z. Jin, Multibody system transfer matrix method: The past, the present, and the future, Int J. Mech. Sys. Dyn. 2, 3 (2022).
Y. Miao, G. Wang, and X. Rui, Dynamics modeling, simulation, and optimization of vibration characteristics of the tracked vehicle system, J. Vib. Control 27, 2451 (2021).
X. Wang, X. Rui, J. Wang, J. Zhang, G. Wu, and J. Gu, Vibration characteristics analysis of tank gun barrel with non-uniform cross-section, Acta Mech. Sin. 38, 521368 (2022).
M. Jiang, X. Rui, W. Zhu, F. Yang, and Y. Zhang, Optimal design of 6-DOF vibration isolation platform based on transfer matrix method for multibody systems, Acta Mech. Sin. 37, 127 (2021).
L. Gu, X. Rui, G. Wang, Y. An, F. Yang, and M. Wei, A novel launch dynamics measurement system for multiple launch rocket system and comparative analysis with numerical simulations, Def. Tech. 17, 671 (2021).
X. T. Rui, G. P. Wang, and J. S. Zhang, Transfer matrix method for multibody systems, in: Theory and Application (Wiley Press, Pondicherry, 2019).
X. Liu, H. Wang, Y. Shan, and T. He, Construction of road roughness in left and right wheel paths based on PSD and coherence function, Mech. Syst. Signal Process. 60–61, 668 (2015).
Y. L. Zhang, Time domain model of road irregularities simulated using the harmony superposition method, Trans. Chin. Soc. Agric. Eng. 19, 32 (2003).
Y. L. Zhang, and J. F. Zhang, Numerical simulation of stochastic road process using white noise filtration, Mech. Syst. Signal Process. 20, 363 (2006).
B. Q. Miao, ARMA method of the digital simulation of random processes, J. Vib. Eng. 3, 60 (1990).
Y. Wang, S. Chen, and K. F. Zheng, Simulation research on time domain model of road roughness with time-space correlation, J. Vib. Shock 32, 70 (2013).
S. Narayanan, Nonlinear and nonstationary random vibration of hysteretic systems with application to vehicle dynamics, Nonlinear Stoch Dyn. Eng. Syst. 1988, 433 (1988).
D. Ammon, Problems in road surface modelling, Vehicle Syst. Dyn. 20, 28 (1992).
Y. A. Daraghmi, T. H. Wu, and T. U. Ik, Crowdsourcing-based road surface evaluation and indexing, IEEE Trans. Intell. Transp. Syst. 23, 4164 (2022).
A. J. Healey, C. Smith, R. O. Stearman, and E. Nathman, Dynamic modelling for automobile acceleration response and ride quality over rough roadways, Council Adv. Trans. Stud. 14, 75 (1974).
D. Yadav, Vehicle response statistics to nonstationary track excitation —A direct formulation, Mech. Res. Commun. 17, 65 (1990).
S. A. Ketcham, M. L. Moran, J. Lacombe, R. J. Greenfield, and T. S. Anderson, Seismic source model for moving vehicles, IEEE Trans. Geosci. Remote Sens. 43, 248 (2005).
F. Cheli, and R. Corradi, On rail vehicle vibrations induced by track unevenness: Analysis of the excitation mechanism, J. Sound Vib. 330, 3744 (2011).
A. Pazooki, S. Rakheja, and D. Cao, Modeling and validation of off-road vehicle ride dynamics, Mech. Syst. Signal Process. 28, 679 (2012).
H. Shi, R. Luo, and J. Guo, Improved lateral-dynamics-intended railway vehicle model involving nonlinear wheel/rail interaction and car body flexibility, Acta Mech. Sin. 37, 997 (2021).
G. Zhou, Y. Wang, and H. Du, A generalized method for three-dimensional dynamic analysis of a full-vehicle model, Proc. Inst. Mech. Eng. Part D-J. Automob. Eng. 234, 2485 (2020).
Z. Guo, W. Wu, and S. Yuan, Longitudinal-vertical dynamics of wheeled vehicle under off-road conditions, Veh. Syst. Dyn. 60, 470 (2022).
S. Yun, J. Lee, W. Jang, D. Kim, M. Choi, and J. Chung, Dynamic modeling and analysis of a driving passenger vehicle, Appl. Sci. 13, 5903 (2023).
Z. Guo, D. Qin, A. Li, J. Feng, and Y. Liu, Influence of random road excitation on DCT vehicle dynamic characteristics during starting and shifting, J. Mech. Sci. Technol. 37, 4567 (2023).
D. N. Wang, and X. Z. Wang, Dynamic driving simulation of coupled rigid and flexible for vehicular missile based on road roughness, Fire Control Command Control 41, 117 (2016).
L. Jing, K. Wang, and W. Zhai, Impact vibration behavior of railway vehicles: A state-of-the-art overview, Acta Mech. Sin. 37, 1193 (2021).
L. Yao, D. W. Ma, Q. He, and Z. L. Wang, Vertical dynamic characteristics of off-road vehicle combined with rocket launcher, Fire Control Command Control 40, 88 (2015).
P. Liu, X. Shao, F. Zhou, and H. Chao, A study on the application of the operating modal analysis method in self-propelled gun development, J. vibroeng. 18, 1683 (2016).
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 92266201, 52305112, and 11972193). We also gratefully acknowledge Jiangsu Funding Program for Excellent Postdoctoral Talent (Grant No. 2022ZB244), Project funded by China Postdoctoral Science Foundation (Grant Nos. 2022TQ0159, and 2022M721624).
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Author contributions Genyang Wu and Xiaoting Rui designed the research. Genyang Wu, Guoping Wang, and Xun Wang wrote the first draft of the manuscript. Genyang Wu and Min Jiang set up the experiment set-up and processed the experiment data. Xiaoting Rui and Guoping Wang helped organize the manuscript. Genyang Wu revised and edited the final version.
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Wu, G., Rui, X., Wang, G. et al. Modelling and simulation of driving dynamics of wheeled launch system under random road surface excitation. Acta Mech. Sin. 40, 523310 (2024). https://doi.org/10.1007/s10409-023-23310-x
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DOI: https://doi.org/10.1007/s10409-023-23310-x