Study of Vibration Specifications of a Three-axle Truck Using Lagrange Method

Journal of Modern Processes in Manufacturing and Production

مقاله 1، دوره 8، شماره 2، مرداد 2019، صفحه 5-17   

نوع مقاله: Research Paper

نویسندگان

Seyed Mohammad Javad Zeidi^{* 1}؛ Pedram Hoseini²؛ Ali Rahmani³

¹PhD Candidate at Florida International University, Department of Mechanical and Material Engineering

²MSc student at Amirkabir University of Technology, Department of Mechanical Engineering

³Assistant Professor at ShahidRajaeeUniversiy of Tehran, Department of Mechanical Engineering

چکیده

In this research, Ride quality of a three-axle truck is investigated to understand its vibration specifications and influence of it on special load. The truck is Benz 2624, and the load is rather sensitive to vibrations. The system is considered for an off-road duty. Hence, the vehicle is modeled as a nineteen-degree of freedom system and its equations of motion are derived by employing Lagrange equation. Since, the physical parameters of the vehicle were not available; the truck is modeled in Solidworks CAD software in order to obtain the material and dynamic properties of each component of the truck. Then, a code is developed in MATLAB to calculate natural frequencies and mode shapes of the truck and their corresponding vibrating components in critical speed. A simple model of the truck in ADAMS is employed for validation. The adoption of the results verifies the equations. The developed model can also be used in newer truck with some modifications. It is also necessary to have accurate data for input information in order to change the
current model for other utilities.

کلیدواژه‌ها

Vibration Analysis؛ Mode shapes؛ Lagrange Equations؛ Multi-axles Truck

مراجع

[1] Rahmani, A., Mirmohammadi, A., Zeidi, SMJ. and Shojaei, S., 2015. Numerical Approach toward Calculation of vibration Characteristics of the Multi Axles Truck Using Lagrange Method”, Journal of Modern Processes in Manufacturing and Production. 4(1):57-64.

[2] Shojaei S., Zeidi, SMJ. and  Mirmohammadi A. 2015. Analytical Analysis Approach to Study of the Vibration Characteristics of the Multi Axles Truck and its Validation. Proceedings of the International Conference in New Research of Industry and Mechanical Engineering.

[3] Hamedi, A., Malekmohammadi, I., Mansoori, A., and Roshanaei, H. 2012. Energy Dissipation in Stepped Spillway Equipped with Inclined Steps Together with End Sill. Fourth International Conference on Computational Intelligence and Communication Networks. IEEE.

[4] Hamedi, A. and Fuentes, H.R. 2016. New Relationship between a Vertical Gate Opening and Downstream Flow Stability: Experimental Development. World Environ. World Environmental and Water Resources Congress.

[5] Hamedi, A. and Fuentes, H.R. 2015. Comparative Effectiveness and Reliability of NEXRAD Data to Predict Outlet Hydrographs Using the GSSHA and HEC-HMS Hydrologic Models. World Environmental and Water Resources Congress.

[6] Hamedi, A., Hajigholizadeh, M., and Mansoori, A. 2016. Flow Simulation and Energy Loss Estimation in the Nappe Flow Regime of Stepped Spillways with Inclined Steps and End Sill: A Numerical Approach. Civil Engineering Journal. 2(9):426-437.

[7] Hamedi, A. and Ketabdar, M. 2016. Energy Loss Estimation and Flow Simulation in the skimming flow Regime of Stepped Spillways with Inclined Steps and End Sill: A Numerical Model. International Journal of Science and Engineering Applications.5(7):399-407.

[8] Ketabdar, M. and Hamedi, A. 2016. Intake Angle Optimization in 90-degree Converged Bends in the Presence of Floating Wooden Debris: Experimental Development. Florida Civil Engineering Journal. 2:22-27.

[9] Rao, S. S.and Yap, F. F. 1995. Mechanical Vibrations, Addision-Wesley Publishing Co. United States of America.

[10] Tse,F. S., Morse, I. E. and Hinkle, R. T. 1976. Mechanical Vibration: Theory and Applications, 2nd Edition. Allen and Bacon, Inc, Boston.

[11] Dimarogonas, A. D. 1975. Vibration Engineering, West Publishing Co., Inc., New York.

[12] Meiroritch, L. 1967. Analytical Methods in Vibrations, Macmillan Publishing Co., Inc, New York.

[13] Timoshenko, S., Young. D. H. and Weaver, W. 1974. Vibration Problems in Engineering, 4th Edition, John Wiley& Sons, Inc., New York.

[14] Wong, J, Y. 2001. Theory of Ground Vehicles, 3rd Edition, John Wiley& Sons, Inc., New York.

[15] Kumaresan, R., Tufts D. W. and Scharf L. L. 1984. A prony method fornoisy data: Choosing the signal components and selecting the order in exponential signal models. Proc. IEEE, 72:230–233.

[16] Hua, Y. and Sarkar  T. K. 1989. Generalized pencil-of-function method for extracting poles of an em system from its transient response. IEEE Trans. Antennas Propag. 37: 229–234.

[17] Hua, Y. and Sarkar, T, K.1990. Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Trans. Acoust., Speech, Signal Process. 38:814–824.

[18] Pisarenko, Y. F.1973.The retrieval of harmonics from a covariance function.Geo. Phys. J. Roy. Astron. Soc. 33:347–366.

[19] Djermoune E, H. and Tomczak, M. 2009.Perturbation analysis of subspacebased methods in estimating a damped complex exponential. IEEE Trans. Signal Process. 57: 4558–4563.

[20] Boyer, R., Lathauwer, L. and Abed-Meraim, K. 2007. Higher order tensor-based method for delayed exponential fitting. IEEE Trans. Signal Process. 55:2795–2809.

[21] Boyer, R., and Abed-Meraim, K., 2007. Asymptotic performance for delayed exponential process. IEEE Trans. Signal Process. 55: 3139–3143.

[22] Lee, J, H. and Kim, H, T. 2010. Application of Newton Method to Natural Frequency Estimation. IEEE, 58: 212-214.

[23]Wong. J, Y. 2001.Theory of ground vehicles. John Wiley & Sons, Canada.

[24] Jazar, R. 2013. Advanced Vibrations:A modern Approach. Springer, New York.

[25] Jazar, R. 2010. Vehicle Dynamics: Theory and Application. Springer, New York.

[26] Gillespie, T, D.1992. Fundamentals of Vehicle Dynamics. SAE publishing group, United States of America.

[27] Yang, X., Zengcai, W. and Weili, P. 2009. Coordinated Control of AFS and DYC for Vehicle Handling and Stability Based on Optimal Guaranteed Cost Theory. Vehicle System Dynamics.  47:57-79.

[28]  Zheng, S., Tang, H., Han, Z. and Zhang, Y.2006.Controller Design for Vehicle Stability Enhancement,” Control Engineering Practice.14:1413-1421.

[29] A. Rahmani-Hanzaki, S. K. Saha and P. V. M. Rao.2009. An improved recursive dynamic modeling of a multibody system with spherical joint, International Journal of Multibody system dynamics. 21:325-345.

[30] Tabatabaee, S,H. 2013. Integrated control to improve directional stability and maneuverability of the articulated heavy vehicle, PhD Thesis, K. N. Toosi University of Technology Faculty of Mechanical Engineering.

[31] Darvish, S., Gopalan, S., and Zhong, Y.2016.Thermodynamic Stability Maps for the La0.6Sr0.4Co0.2Fe0.8O3±δ–CO2–O2 System for Application in Solid Oxide Fuel Cells. Journal of Power Sources. 336:351–359.

[32] Darvish, S., Saxena, SK., Zhong, Y. 2015. Quantitative Analysis of (La0.8Sr0.2)0.98MnO3±δ Electronic Conductivity Using CALPHAD Approach. The 39th International Conference on Advanced Ceramics and Composites (ICACC).

[33] Darvish, S., Karbasi, A., Saxena SK. And Zhong Y, 2015. Weight Loss Mechanism of (La0.8Sr0.2)0.98MnO3±δDuring Thermal Cycles. The 39th International Conference on Advanced Ceramics and Composites (ICACC).

[34] Zeidi, SMJ. And Mahdi, M. 2015. Evaluation of the physical forces exerted on a spherical bubble inside the nozzle in a cavitating flow with an Eulerian/Lagrangian approach, European Journal of Physics, 36(6):41-65.

[35] Zeidi, SMJ. And Mahdi. M. 2014. Investigation of viscosity effect on velocity profile and cavitation  formation in Diesel injector nozzle. Proceedings of the 8th International Conference on Internal Combustion Engines.

[36] Zeidi,  SMJ.,  and Mahdi,  M. 2015. Effects of nozzle geometry and fuel characteristics on cavitation phenomena in injection nozzles. Proceedings of the 22st Annual International Conference on Mechanical Engineering-ISME.

[37] Zeidi, SMJ and  Mahdi, M. 2015. Investigation effects of injection pressure and compressibility and nozzle entry in Diesel injector nozzle’s flow. Journal of Applied and Computational Mechanics. 1(2):83–94.

[38] Zeidi, SMJ.,  Dulikravich, G., S.,  and  Reddy, Sohail, R. 2017. Effects of needle lift and fuel type on cavitation formation and heat transfer inside diesel fuel injector nozzle. Proceedings of 17th International Symposium on Advances in Computational Heat Transfer.