An efficient analysis and optimization method for the powertrain mounting system with hybrid random and interval uncertainties

References

• Castellazzi, L., A. Tonoli, N. Amati, and E. Galliera. 2017. “A Study on the Role of Powertrain System Dynamics on Vehicle Driveability.” Vehicle System Dynamics 55 (7): 1012–1028. doi: 10.1080/00423114.2017.1294699
   Web of Science ®Google Scholar
• Fakhari, V., S. Choi, and C. Cho. 2015. “A New Robust Adaptive Controller for Vibration Control of Active Engine Mount Subjected to Large Uncertainties.” Smart Materials and Structures 24 (4): 045044. doi: 10.1088/0964-1726/24/4/045044
   Web of Science ®Google Scholar
• Gao, W., N. Zhang, and J. Dai. 2008. “A Stochastic Quarter-Car Model for Dynamic Analysis of Vehicles with Uncertain Parameters.” Vehicle System Dynamics 46 (12): 1159–1169. doi: 10.1080/00423110701884575
   Web of Science ®Google Scholar
• Johnson, S., and J. Subhedar. 1979. “Computer Optimization of Engine Mounting Systems.” SAE Paper No. 790974.
   Google Scholar
• Li, C., Z. Z. Cong, J. D. Bao, B. L. Zhang, and H. Jing. 2015. “Robust Optimization of Powertrain Mounting System Based on Interval Analysis.” In Proceedings of the Fifth Asia International Symposium on Mechatronics (AISM 2015), 1–4. Guilin: IET.
   Google Scholar
• Lü, H., Z. Cai, Q. Feng, W. Shangguan, and D. Yu. 2018. “An Improved Method for Fuzzy-Interval Uncertainty Analysis and Its Application in Brake Instability Study.” Computer Methods in Applied Mechanics and Engineering 342: 142–160. doi: 10.1016/j.cma.2018.07.028
   Web of Science ®Google Scholar
• Lü, H., W. Shangguan, and D. Yu. 2017a. “A Unified Approach for Squeal Instability Analysis of Disc Brakes with Two Types of Random-Fuzzy Uncertainties.” Mechanical Systems and Signal Processing 93: 281–298. doi: 10.1016/j.ymssp.2017.02.012
   Web of Science ®Google Scholar
• Lü, H., W. Shangguan, and D. Yu. 2017b. “An Imprecise Probability Approach for Squeal Instability Analysis Based on Evidence Theory.” Journal of Sound and Vibration 387: 96–113. doi: 10.1016/j.jsv.2016.10.001
   Web of Science ®Google Scholar
• Lü, H., W. Shangguan, and D. Yu. 2018. “A Unified Method and Its Application to Brake Instability Analysis Involving Different Types of Epistemic Uncertainties.” Applied Mathematical Modelling 56: 158–171. doi: 10.1016/j.apm.2017.12.013
   Web of Science ®Google Scholar
• Lü, H., and D. Yu. 2014. “Brake Squeal Reduction of Vehicle Disc Brake System with Interval Parameters by Uncertain Optimization.” Journal of Sound and Vibration 333 (26): 7313–7325. doi: 10.1016/j.jsv.2014.08.027
   Web of Science ®Google Scholar
• Lü, H., and D. Yu. 2015. “Stability Analysis and Improvement of Uncertain Disk Brake Systems with Random and Interval Parameters for Squeal Reduction.” Journal of Vibration and Acoustics-ASME 137 (5): 051003. doi: 10.1115/1.4030044
   Web of Science ®Google Scholar
• Lü, H., and D. Yu. 2016. “Optimization Design of a Disc Brake System with Hybrid Uncertainties.” Advances in Engineering Software 98: 112–122. doi: 10.1016/j.advengsoft.2016.04.009
   Web of Science ®Google Scholar
• Nechak, L., F. Gillot, S. Besset, and J. J. Sinou. 2015. “Sensitivity Analysis and Kriging Based Models for Robust Stability Analysis of Brake Systems.” Mechanics Research Communications 69: 136–145. doi: 10.1016/j.mechrescom.2015.08.001
   Web of Science ®Google Scholar
• Qatu, M., M. Sirafi, and F. Johns. 2002. “Robustness of Powertrain Mount System for Noise, Vibration and Harshness at Idle.” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 216 (10): 805–810.
   Web of Science ®Google Scholar
• Qin, W., W. Shangguan, G. Luo, and Z. Xie. 2018. “A Method for Estimating Mount Isolations of Powertrain Mounting Systems.” Journal of Sound and Vibration 426: 278–295. doi: 10.1016/j.jsv.2018.04.022
   Web of Science ®Google Scholar
• Shangguan, W. 2009. “Engine Mounts and Powertrain Mounting Systems: A Review.” International Journal of Vehicle Design 49 (4): 237–258. doi: 10.1504/IJVD.2009.024956
   Web of Science ®Google Scholar
• Shangguan, W., X. Liu, Z. Lv, and S. Rakheja. 2016. “Design Method of Automotive Powertrain Mounting System Based on Vibration and Noise Limitations of Vehicle Level.” Mechanical Systems and Signal Processing 76-77: 677–695. doi: 10.1016/j.ymssp.2016.01.009
   Web of Science ®Google Scholar
• Sirafi, M., Y. Chang, and M. S. Qatu. 2006. “Robustness of Mount Systems for Idle NVH, Part I: Centre of Gravity (CG) Mounts.” International Journal of Vehicle Noise and Vibration 2 (4): 317–333. doi: 10.1504/IJVNV.2006.012782
   Google Scholar
• Stefanou, G. 2009. “The Stochastic Finite Element Method: Past, Present and Future.” Computer Methods in Applied Mechanics and Engineering 198 (9-12): 1031–1051. doi: 10.1016/j.cma.2008.11.007
   Web of Science ®Google Scholar
• Wang, X., Y. Li, Z. Ma, W. Fan, L. Wang, and M. Xu. 2017. “Robust Optimization of Structural–Acoustic Coupled System with Random Parameters.” Aerospace Science and Technology 60: 48–57. doi: 10.1016/j.ast.2016.10.030
   Web of Science ®Google Scholar
• Wang, C., and Z. Qiu. 2016. “Subinterval Perturbation Methods for Uncertain Temperature Field Prediction with Large Fuzzy Parameters.” International Journal of Thermal Sciences 100: 381–390. doi: 10.1016/j.ijthermalsci.2015.10.013
   Web of Science ®Google Scholar
• Wang, L., X. Wang, D. Wu, and X. Zhang. 2018a. “Non-probabilistic Time-Variant Reliability Assessment (NTRA) for the Active Control of Vibration Systems with Convex Uncertainties.” ISA Transactions 83: 276–289. doi: 10.1016/j.isatra.2018.08.018
   PubMed Web of Science ®Google Scholar
• Wang, L., C. Xiong, J. Hu, X. Wang, and Z. Qiu. 2018b. “Sequential Multidisciplinary Design Optimization and Reliability Analysis under Interval Uncertainty.” Aerospace Science and Technology 80: 508–519. doi: 10.1016/j.ast.2018.07.029
   Web of Science ®Google Scholar
• Wang, L., C. Xiong, X. Wang, M. Xu, and Y. Li. 2018c. “A Dimension-Wise Method and Its Improvement for Multidisciplinary Interval Uncertainty Analysis.” Applied Mathematical Modelling 59: 680–695. doi: 10.1016/j.apm.2018.02.022
   Web of Science ®Google Scholar
• Wu, J. 2012. “Optimization Method for Powertrain Mounting Systems with Uncertain Parameters.” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 226: 147–157.
   Web of Science ®Google Scholar
• Wu, J., X. Liu, Y. Shan, and T. He. 2019. “Robustness Optimization of Engine Mounting System Based on Six Sigma and Torque Roll Axis Decoupling Method.” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 233 (4): 1047–1060.
   Web of Science ®Google Scholar
• Wu, J., Z. Luo, Y. Zhang, N. Zhang, and L. Chen. 2013. “Interval Uncertain Method for Multibody Mechanical Systems Using Chebyshev Inclusion Functions.” International Journal for Numerical Methods in Engineering 95 (7): 608–630. doi: 10.1002/nme.4525
   Web of Science ®Google Scholar
• Wu, J., and W. Shangguan. 2010. “Robust Optimization Design Method for Powertrain Mounting Systems Based on Six Sigma Quality Control Criteria.” International Journal of Automotive Technology 11 (5): 651–658. doi: 10.1007/s12239-010-0077-2
   Web of Science ®Google Scholar
• Xia, B., H. Lü, D. Yu, and C. Jiang. 2015. “Reliability-Based Design Optimization of Structural Systems under Hybrid Probabilistic and Interval Model.” Computers & Structures 160: 126–134. doi: 10.1016/j.compstruc.2015.08.009
   Web of Science ®Google Scholar
• Xia, B., Y. Qin, D. Yu, and C. Jiang. 2016. “Dynamic Response Analysis of Structure under Time-Variant Interval Process Model.” Journal of Sound and Vibration 381: 121–138. doi: 10.1016/j.jsv.2016.06.030
   Web of Science ®Google Scholar
• Xia, B., H. Yin, and D. Yu. 2017. “Nondeterministic Wave-Based Methods for Low- and Mid-Frequency Response Analysis of Acoustic Field with Limited Information.” Mechanical Systems and Signal Processing 84: 169–183. doi: 10.1016/j.ymssp.2016.06.042
   Web of Science ®Google Scholar
• Xie, L., J. Liu, G. Huang, W. Zhu, and B. Xia. 2018. “A Polynomial-Based Method for Topology Optimization of Phononic Crystals with Unknown-but-Bounded Parameters.” International Journal for Numerical Methods in Engineering 114 (7): 777–800. doi: 10.1002/nme.5765
   Web of Science ®Google Scholar
• Xie, Y., W. Zhang, X. Feng, and Y. Zhang. 2015. “Powertrain Mounting System with Uncertainty Using Chebyshev Interval Method.” SAE Technical Paper No. 2015-01-0609. doi:10.4271/2015-01-0609
   Google Scholar
• Yu, Y., N. G. Naganathan, and R. V. Dukkipati. 2001. “A Literature Review of Automotive Vehicle Engine Mounting Systems.” Mechanism and Machine Theory 36 (1): 123–142. doi: 10.1016/S0094-114X(00)00023-9
   Web of Science ®Google Scholar