Development of a quadricycle dynamic mathematical model methodology to calculate early design stages loads on the frame and chassis

Introduction (problem statement and relevance). To create a competitive vehicle in modern conditions, it is important to be able to determine its power elements loads at the early stages of design. A vehicle dynamic mathematical models allows you to solve this problem.

The purpose of the study was to develop a dynamic mathematical model methodology of a quadricycle to determine its power elements loads under given operating conditions.

Methodology and research methods. The article presents a dynamic mathematical model of a wheeled vehicle (quadricycle) technique using a created mathematical model within a solids dynamics modeling program and a real object experimental study to verify the mathematical model with an example of the obtained frame strength calculation under computer simulation loads.

Scientific novelty and results. In the article the main stages of an utility quadricycle development and its dynamic mathematical model have been presented taking into account its design features and operating conditions. The main initial data necessary for creating an all-terrain vehicle dynamic mathematical model were identified. To confirm the developed dynamic model adequacy, a series of test site experiments was carried out. The obtained simulated results having been compared to the experimental data were highly convergent, which indicated the adequacy of the developed dynamic model of the ATV.

Practical significance. The technique presented in the article allows to carry out virtual experiments to determine the main structural elements loads for subsequent strength, optimization and durability calculations.

1. [Parameters of the PM 650-2 ATV]. Aviable at: http://go-rm.ru/rm650-2_data.html (accessed 01 April 2021). (In Russian)

2. Kushvid R. P. [Vehicle chassis. Design and elements of calculation: textbook]. Moscow, MGIU Publ., 2014. 555 p. (In Russian)

3. Afanas'ev B. A., Belousov B. N., Gladov G. I. et al. [Design of all-wheel drive vehicles: Textbook for universities: In 3 volumes. Ed. by Polungyan A. A.]. Moscow, BMSTU Publ., 2008. (In Russian)

4. Ryan R. R. ADAMS. In Supplement to Vehicle System Dynamics, 1993, vol. 22, pp. 144-152.

5. Kotiev G. O., Padalkin B. V., Kartashov A. B., Dyakov A. S. Designs and development of Russian scientific schools in the field of cross-country ground vehicles building. ARPN Journal of Engineering and Applied Sciences, 2017, vol. 12, no. 4, pp. 1064-1071.

6. Gorelov V. A., Padalkin B. V., Chudakov O. I. [Mathematical model of linear motion on the deformable supporting surface of the two-link road train with an active semitrailer]. Vestnik Moskovskogo gosudarstvennogo tekhnicheskogo universiteta im. N.E. Baumana. Seriya Mashinostroenie, 2017, no. 2 (113), pp. 121-138. (In Russian)

7. Dempsey M., Fish G., Juan Gabriel Delgado Beltran J. G. D. High fidelity multibody vehicle dynamics models for driver-in-the-loop simulators. Proceedings of the 11th International Modelica Conference September 21-23, 2015, Versailles, France, pp. 273-280.

8. Farid M. L. Fundamentals of multibody dynamics: theory and applications. Birkhauser, 2006.

9. Bremer H. Elastic Multibody Dynamics. Springer Science+Business Media, B.V., 2008.

10. Vdovin D. S., Chichekin I. V., Ryakhovskii O. A. Quad bike frame dynamic load evaluation using full vehicle simulation model. IOP Conference Series: Materials Science and Engineering 2019, Vol. 589, Issue 1, Art. no. 012025.

11. Vdovin D. S., Chichekin I. V., Levenkov Ya. Yu. [Predicting the fatigue life of a semi-trailer suspension elements at the early stages of design]. Trudy NAMI, 2019, no. 2 (277), pp. 14-23. (In Russian)

12. Chichekin I. V., Levenkov Ya. Yu., Zuenkov P. I., Maksimov R. O. [The formation of the law of steering angle control to maintain a given vehicle trajectory]. Trudy NAMI, 2019, no. 3 (278), pp. 53-61. (In Russian)