This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Comparative Analysis of an Elastic 2 Degree of Freedom Half Car Model with a Rigid 2 Degree of Freedom Model
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 16, 2012 by SAE International in United States
Annotation ability available
Ride quality is concerned with the feel of the passenger in the environment of moving vehicle. It is one of the key indices in determining comfort levels of a vehicle. Although, “ride comfort” evaluation is subjective in nature, researchers have developed mathematical models to study and evaluate vehicle ride performance. Some popular models for vehicle ride analysis are - quarter car model, 2 DOF and 4 DOF half car model. These models model the chassis as a rigid body. This work removes this assumption and models the chassis as a flexible beam on a spring damper system at the front and rear using Euler beam theory. This elastic model has 2 DOF - vehicle bounce and pitch, and has been compared with the rigid 2 DOF model. Euler beam theory and Lagrangian mechanics are used to derive the equations of motion. Finite element method is being used to validate this model. Experimental validation of the natural frequencies of this flexible beam is presented.
CitationMazumdar, A., Talukdar, S., and Kalita, K., "Comparative Analysis of an Elastic 2 Degree of Freedom Half Car Model with a Rigid 2 Degree of Freedom Model," SAE Technical Paper 2012-01-0057, 2012, https://doi.org/10.4271/2012-01-0057.
- Amirouche, Farid. “Fundamentals of Multibody Dynamics” Birkhäuser Boston 978-0-8176-4236-5 2006
- Krysl, P. “A Pragmatic Introduction to the Finite Element Method for Thermal and Stress Analysis” World Scientific Publishing Co. Pvt. Ltd. Singapore 981-256-876-X 981-270-411-6 2006
- Crolla, D.A. “Vehicle Dynamics - Theory into Practice” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 210 2 83 94 April 1996 10.1243/PIME_PROC_1996_210_250_02
- Wong, J.Y. “Theory of Ground Vehicles” John Wiley & Sons 978-0-470-17038-0
- Sun, T. Zhang, Y. Barak, P. “4-DOF Vehicle Ride Model,” SAE Technical Paper 2002-01-1580 2002 10.4271/2002-01-15
- Goncalves, J.P. Ambrósio, J. A. “Optimization of Vehicle suspension Systems for Improved Comfort of Road Vehicles Using Flexible Multibody Dynamics” Nonlinear Dynamics 34 113 131 2004
- Ibrahim, I.M. Crolla, D.A. Barton, D.C. “Effect of Frame Flexibility on the Ride Vibration of Trucks” Computers and Structures 58 4 709 713 February 1996 10.1016/0045-7949(95)00198-P
- Verros, G. Natsiavas, S. “Ride Dynamics of Nonlinear Vehicle Models Using Component Mode Synthesis” Journal of Vibration and Acoustics 124 3 427 434 July 2002 10.1115/1.1473828
- Timoshenko, S.P. Goodier, J.N. “Theory of Elasticity” Tata McGraw-Hill Education Pvt. Ltd. New Delhi 978-0-07-070122-9 2010
- Goldstein, H. Poole, C.P. Safko, J. “Classical Mechanics” Pearson 978-81-317-5891-5 June 2001
- Nayfeh, A. H. Emam, S. A. Preidikman, S. Mook, D.T. “An Exact Solution for the Natural Frequencies of Flexible Beams Undergoing Overall Motions” Journal of Vibration and Control 9 11 1221 1229 November 2003 10.1177/1077546304030692
- Meirovitch, L. “Analytical Methods in Vibration” Prentice Hall New York 978-0023801402 1967