Mechanics of the Tractor Chassis

  • John B. Liljedahl
  • Paul K. Turnquist
  • David W. Smith
  • Makoto Hoki


An understanding of the statics and dynamics of farm tractors is important in the analysis of tractor performance, stability, ride, and handling. This chapter provides an introduction to these individual areas while attempting to emphasize their interrelationships.


Lateral Force Front Wheel Rear Wheel Slip Angle Rear Axle 
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Suggested Reading

  1. Bekker, M. G. Introduction to Terrain-Vehicle Systems. The University of Michigan Press, Ann Arbor, 1969.Google Scholar
  2. Berenyi, T., R. L. Pershing, and B. E. Romig. “Vehicle Mission Simulation.” SAE Paper 730693, 1973.Google Scholar
  3. Captain, K. M., A. B. Boghani, and D. N. Wormley. “Analytical Tire Models for Dynamic Vehicle Simulation.” Vehicle System Dynamics, vol. 8, 1979, pp. 1–32.CrossRefGoogle Scholar
  4. Chisholm, C.J. “A Mathematical Model of Tractor Overturning and Impact behavior.” J. Agnc. Eng’g Res., vol. 24, 1979, pp. 375–394.CrossRefGoogle Scholar
  5. Chu, M. L., and G. R. Doyle. “Nondeterministic Analysis of a Four-Wheeled Model Vehicle Traversing a Simulated Random Terrain.” SAE Paper 780789, 1978.Google Scholar
  6. Claar, P. W. II, W. F. Buchele, and P. N. Sheth. “Off Road Vehicle Ride: Review of Concepts and Design Evaluation with Computer Simulation.” SAE Paper 801023, 1980.Google Scholar
  7. Clark, S. J., “Lagrangian Methods Applied to Off-the-Road Vehicle Dynamics.” ASAE Paper 72-554, 1972.Google Scholar
  8. Crolla, D. A. “Off-Road Vehicle Dynamics.” Vehicle System Dynamics, vol. 10, 1981, pp. 253–266.CrossRefGoogle Scholar
  9. Crolla, D. A., and H. B. Spencer. “Tractor Handling During Control Loss on Sloping Ground.” Vehicle System Dynamics, vol. 13, 1984, pp. 1–17.CrossRefGoogle Scholar
  10. Davis, D. C., and G. E. Rehkugler, “Agricultural Wheel-Tractor Overturns—Part I:Mathematical Model—Part II: Mathematical Model Verification by Scale-Model Study.” Trans. of ASAE, vol. 17, 1974, pp. 477–488, 492.Google Scholar
  11. Dwyer, M. J. “The Braking Performance of Tractor-Trailer Combinations.” J. Agric. Eng’g Res., vol. 15, 1970, pp. 148–162.CrossRefGoogle Scholar
  12. Ellis, J. R. Vehicle Dynamics. Business Books Ltd., London, 1969.Google Scholar
  13. Gibson, H. G., K. C. Elliott, and S. P. E. Persson. “Side Slope Stability of Articulated-Frame Logging Tractors.” J. Terramechanics, vol. 8, 1971, pp. 65–79.CrossRefGoogle Scholar
  14. Goering, C. E., and W. F. Buchele. “Computer Simulation of an Unsprung Vehicle.” Trans. of ASAE, vol. 10, 1967, pp. 272–280.Google Scholar
  15. Goran, M. B., and G. W. Hurlong, Jr. “Determining Vehicle Inertial Properties for Simulation Studies.” Bendix Technical J., vol. 6, 1973, pp. 53–57.Google Scholar
  16. Grace, L. S., C. J. Biller, and K. H. Means. “A Survey of Tractor Stability Analysis.” ASAE Paper 83-1618, 1983.Google Scholar
  17. Grecenko, A. “Operation on Steep Slopes: State-of-the-Art Report.” J. Terramechanics, vol. 21, 1984, pp. 181–194.CrossRefGoogle Scholar
  18. Horton, D. N. L., and D. A. Crolla. “The Handling Behavior of Off-Road Vehicles.” Int. J. Vehicle Design, vol. 5, 1984, pp. 197–218.Google Scholar
  19. Koch, J. A., W. F. Buchele, and S. J. Marley. “Verification of a Mathematical Model to Predict Tractor Tipping behavior.” Trans. of ASAE, vol. 13, 1970, pp. 67–72, 76.Google Scholar
  20. Larson, D. L., D. W. Smith, and J. B. Liljedahl. “The Dynamics of Three-Dimensional Tractor Motion.” Trans. of ASAE, vol. 19, 1976, pp. 195–200.Google Scholar
  21. Matthews, J., and J. D. C. Talamo. “Ride Comfort for Tractor Operators III. Investigation of Tractor Dynamics by Analogue Computer Simulation.” J. Agric. Eng’g Res., vol. 12, 1965, pp. 93–108.CrossRefGoogle Scholar
  22. McCormick, E. “Some Engineering Implications of High Speed Farming.” Agric. Engr., vol. 22, May 1941, pp. 165–167.Google Scholar
  23. McKibben, E. G. “The Kinematics and Dynamics of the Wheel Type Farm Tractor.” Agric. Engr., vol. 8, Jan.–July 1927, pp. 15–16, 39-40, 43, 58-60,90-93, 119-122, 155-160, 187-189.Google Scholar
  24. Mitchell, B. W., G. L. Zachariah, and J. B. Liljedahl. “Prediction and Control of Tractor Stability to Prevent Rearward Overturning.” Trans. of ASAE, vol. 15, 1972, pp. 838–844.Google Scholar
  25. Pershing, R. L. “Simulating Tractive Performance.” SAE Paper 710525, 1971.Google Scholar
  26. Pershing, R. L., and R. R. Yoerger. “Steady-State Behavior of Tractors on Roadside Slopes.” SAE Paper 903B, 1964.Google Scholar
  27. Pershing, R. L., and R. R. Yoerger. “Simulation of Tractors for Transient Response.” Trans. of ASAE, vol. 12, 1969, pp. 715–719.Google Scholar
  28. Plackett, C. W. “A Review of Force Prediction Methods for Off-Road Wheels.” J. Agric. Eng’g Res., vol. 31, 1985, pp. 1–29.CrossRefGoogle Scholar
  29. Raney, J. P., J. B. Liljedahl, and R. Cohen. “The Dynamic Behavior of Farm Tractors.” Trans. of ASAE, vol. 4, 1961, pp. 215–218, 221.Google Scholar
  30. Rehkugler, G. E., V. Kumar, and D. C. Davis. “Simulation of Tractor Accidents and Overturns.” Trans. of ASAE, vol. 19, 1976, pp. 602–609, 613.Google Scholar
  31. Rehkugler, G. E. “Simulation of Articulated Steer Four-Wheel Drive Agricultural Tractor Motion and Overturns.” Trans. of ASAE, vol. 23, 1980, pp. 2–8, 13.Google Scholar
  32. Rehkugler, G. E. “Tractor Steering Dynamics—Simulated and Measured.” Trans. of ASAE, vol. 25, 1982, pp. 1512–1515.Google Scholar
  33. Sack, H. W. “Longitudinal Stability of Tractors.” Agric. Engr., vol. 37, May 1956, pp. 328–333.Google Scholar
  34. SAE Recommended Practice J670e. Vehicle Dynamics Terminology.Google Scholar
  35. SAE Standard J874 OCT85. Center of Gravity Test Code.Google Scholar
  36. Smith, D. W. “Computer Simulation of Tractor Ride for Design Evaluation.” SAE Paper 770704, 1977.Google Scholar
  37. Smith, D. W. “The Influence of Drawbar Position on Tractor Rearward Stability.” ASAE Paper 84-1560, 1984.Google Scholar
  38. Smith, D. W., and J. B. Liljedahl. “Simulation of Rearward Overturning of Farm Tractors.” Trans. of ASAE, vol. 15, 1972, pp. 818–821.Google Scholar
  39. Smith, D. W., J. V. Perumpral, and J. B. Liljedahl. “The Kinematics of Tractor Sideways Overturning.” Trans. of ASAE, vol. 17, 1974, pp. 1–3.Google Scholar
  40. Song, A., B. K. Huang, and H. D. Bowen. “Simulating a Powered Model Wheel-Tractor on Soft Ground.” ASAE Paper 85-1054, 1985.Google Scholar
  41. Spencer, H. B. “Stability and Control of Two-Wheel Drive Tractors and Machinery on Sloping Ground.” J. Agric. Eng’g Res., vol. 23, 1978, pp. 169–188.CrossRefGoogle Scholar
  42. Stayner, R. M., T. S. Collins, and J. A. Lines. “Tractor Ride Vibration Simulation as an Aid to Design.” J. Agric. Eng’g Res., vol. 29, 1984, pp. 345–355.CrossRefGoogle Scholar
  43. Steinbruegge, G. W. “Improved Methods of Locating Centers of Gravity.” Trans. of ASAE, vol. 12, 1969, pp. 681–684, 689.Google Scholar
  44. Taborek, J. J. Mechanics of Vehicles. The Penton Publishing Company, Cleveland, 1957.Google Scholar
  45. Ulrich, A., and H. Gohlich. “Driving Dynamics of Tractors with and without Mounted Machines at Higher Velocities.” Grund. Landtechnik, vol. 33, 1983, pp. 108–115.Google Scholar
  46. Unruh, D. H. “Determination of Wheel Loader Static and Dynamic Stability.” SAE Paper 710526, 1971.Google Scholar
  47. Winkler, C. B. “Measurement of Inertial Properties and Suspension Parameters of Heavy Highway Vehicles.” SAE Paper 730182, 1973.Google Scholar
  48. Wismer, R. D., and H. J. Luth. “Off-Road Traction Prediction for Wheeled Vehicles.” Trans. of ASAE, vol. 17, 1974, pp. 8–10, 14.Google Scholar
  49. Wolken, L. P., and R. R. Yoerger. “Dynamic Response of a Prime Mover to Random Inputs.” Trans. of ASAE, vol. 17, 1974, pp. 468–473.Google Scholar
  50. Wong, J. Y. Theory of Ground Vehicles. John Wiley & Sons, New York, 1978.Google Scholar
  51. Worthington, W. H. “Evaluation of Factors Affecting the Operating Stability of Wheel Tractors.” Agric. Engr., vol. 30, March–April, 1949, pp. 119–123, 179-183.Google Scholar
  52. Xie, L., and P. W. Claar II. “Simulation of Agricultural Tractor-Trailer System Stability.” SAE Paper 851530, 1985.Google Scholar
  53. Zoz, F. M. “Predicting Tractor Field Performance.” Trans. of ASAEi vol. 15, 1972, pp. 249–255.Google Scholar

Copyright information

© Van Nostrand Reinhold 1989

Authors and Affiliations

  • John B. Liljedahl
    • 1
  • Paul K. Turnquist
    • 2
  • David W. Smith
    • 3
  • Makoto Hoki
    • 4
  1. 1.Agricultural Engineering DepartmentPurdue UniversityUSA
  2. 2.Agricultural Engineering DepartmentAuburn UniversityUSA
  3. 3.Technical Center Deere & CompanyUSA
  4. 4.Department of Agricultural MachineryMie UniversityTsuJapan

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