This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Modeling of Dynamic Characteristics of Tire Lateral and Longitudinal Force Responses to Dynamic Inputs
Annotation ability available
Sector:
Language:
English
Abstract
This paper presents the development of a tire model for use in the simulation of vehicle dynamics. The model was developed to predict tire lateral and longitudinal force responses to dynamic inputs. In this new tire model, the contact patch of a tire is lumped into a number of elements to study the dynamic behavior of the displacement of the tire contact patch in the lateral and longitudinal directions. For each displacement, a differential equation governing the dynamic behavior of the displacement to the dynamic inputs is derived. Based on the differential equations for the lateral and longitudinal displacements, difference equations are derived for the purpose of simulating tire output responses. Since system parameters, such as mass, damping and stiffness, in the difference equations are unknown, estimation of system parameters is performed using the differential equations and experimental data measured for this research. This tire model is validated by comparing the simulated tire output responses with available experimental data in both quasi-static and dynamic maneuvers.
Recommended Content
| Technical Paper | Tire Force and Moment Processor |
| Technical Paper | Vehicle Dynamics Benchmarking and Simulation |
| Journal Article | Vehicle Sideslip Angle EKF Estimator based on Nonlinear Vehicle Dynamics Model and Stochastic Tire Forces Modeling |
Citation
Lee, S., Chrstos, J., and Guenther, D., "Modeling of Dynamic Characteristics of Tire Lateral and Longitudinal Force Responses to Dynamic Inputs," SAE Technical Paper 950314, 1995, https://doi.org/10.4271/950314.Also In
New Developments in Vehicle Dynamics, Simulation, and Suspension Systems
Number: SP-1074; Published: 1995-02-01
Number: SP-1074; Published: 1995-02-01
References
- Allen, R. W. et. al. “Vehicle Dynamic Stability and Rollover,” NHTSA DTNH 22-88-C-07384 Systems Technology, Inc. January 1991
- Pottinger, M. G. “Flat-Trac II machine helps in tire force, moment measuring,” Rubber and Plastic News March 19 1990
- Sakai, H. “Theoretical and Experimental Studies on the Dynamic Properties of Tyres,” Part 1, “Review of Theories of Rubber Friction,” International Journal of Vehicle Design 2 1 1981
- Sakai, H. “Theoretical and Experimental Studies on the Dynamic Properties of Tyres,” Part 2, “Experimental Investigation of Rubber Friction and Deformation of a Tyre,” International Journal of Vehicle Design 2 2 1981
- Sakai, H. “Theoretical and Experimental Studies on the Dynamic Properties of Tyres,” Part 3, “Calculation of the Six Components of Force and Moment of a Tyre,” International Journal of Vehicle Design 2 3 1981
- Sakai, H. “Theoretical and Experimental Studies on the Dynamic Properties of Tyres,” Part 4, “Investigations of the Influences of Running Conditions by Calculation and Experiment,” International Journal of Vehicle Design 3 3 1982
- Negrut, Dan Freeman, Jeffrey S. “Dynamic Tire Modelling for Application with Vehicle Simulations Incorporating Terrain,” SAE Paper 940223 1994
- Seitz, N. “Pressure and Shear Force Distribution in the Contact Patch of a Tire at High Speeds,” Cornell Aeronautical Laboratory Inc. August 1967
- Thieme, H. C. Pacejka, A. “The Tire as a Vehicle Component,” Mechanics of Pneumatic Tires Clark, Samuel K. National Bureau of Standards November 1971
- Hayhoe, G. F. “Movement of the Center of Tire Contact Pressure with Driving and Braking Forces,” The Pennsylvania Transportation Institute May 1982
- Sakai, H. “Measuring and Visualization of Contact Pressure Distribution of Rubber and Tire,” 13th Annual Conference on Tire Science and Technology March 22-23 1994
- Lee, Seewoo “Development of New Dynamic Tire Model for Improved Vehicle Dynamics Simulation,” The Ohio State University 1994
- Clark, Samuel K. “Mechanics of Pneumatic Tires,” National Bureau of Standards Contract CST-386 U.S. Department of Commerce November 1971
- Gim, G. Nikravesh, P. E. “An Analytical Model of Pneumatic Tyres for Vehicle Dynamic Simulations,” Part 1, “Pure Slips,” International Journal of Vehicle Design II 6 1990
- Gim, G. Nikravesh, P. E. “An Analytical Model of Pneumatic Tyres for Vehicle Dynamic Simulations,” Part 2, “Comprehensive Slips,” International Journal of Vehicle Design 12 1 1991
- Smith, Jon M. “Mathematical Modeling and Digital Simulation for Engineers and Scientists,” John Wiley and Sons 1977
- Pacejka, H. B. Bakker, E. Nyborg, L. “Tyre Modelling for Use in Vehicle Dynamics Studies,” SAE Paper 870421 February 1987
- Pacejka, H. B. Bakker, E. Lidner, L. “A New Tire Model with an Application in Vehicle Dynamics,” SAE Paper 980087 February 1989