Geometry, kinematics and dynamics of the Mecanum wheel. Unstable motion of the Mecanum vehicle

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Abstract

BACKGROUND: The Mecanum wheels enable the vehicle to move in any desired direction and increase its mobility when moving along a flat surface. When designing a vehicle, the design loads determine the required driving moments and, as a result, the characteristics of the drivetrain. Thus, determining the loads acting on the Mecanum wheels in stationery and transition events is the most relevant task related to the Mecanum wheel.

AIM: Determination of the traction characteristics of the Mecanum wheel drives, ensuring the given mobility of the vehicle.

METHODS: Simulation of motion of a vehicle with the Mecanum wheels is carried out in the multibody dynamics’ software package. The contact interaction of the Mecanum wheel and rollers with the surface is described on the basis of the rolling theory.

RESULTS: A simple descriptive method for building a roller profile is proposed. The velocities of the vehicle, wheels and rollers for various directions and modes of motion, are calculated. The driving torque required for motion at these velocities is presented.

CONCLUSION: The Mecanum vehicle model makes it possible to determine the kinematic and dynamic characteristics of motion along a flat support in any mode of motion.

About the authors

Alexey S. Dyakov

Bauman Moscow State Technical University

Email: Diakov_as@bmstu.ru
ORCID iD: 0009-0005-7787-2354
SPIN-code: 9437-8400

Dr. Sci. (Engineering), Professor of the Wheeled Vehicles Department

Russian Federation, Moscow

Dmitry S. Fedorov

Bauman Moscow State Technical University

Author for correspondence.
Email: fedor0v_dmitrii@mail.ru
ORCID iD: 0009-0006-6141-7864
SPIN-code: 9122-5314

Student of the Multipurpose Tracked Vehicles and Mobile Robots Department

Russian Federation, Moscow

References

  1. Patent Sweden B60B 19/12 (20060101); B60b 019/00, REF/3876255 (Nov 13, 1972). Ilon BE. Wheels for a Course Stable Selfpropelling Vehicle Movable in Any Desired Direction on the Ground or Some Other Base.
  2. Hendzel Z., Rykała Ł. Description of Kinematics of a Wheeled Mobile Robot with Mecanum Wheels. Modelowanie Inżynierskie. 2015;26(57):5–12.
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  4. Adamov BI. Influence of Mecanum Wheels Construction on Accuracy of the Omnidirectional Platform Navigation (on Example of KUKA youBot Robot). In: Proc. of the 25th Ann. Saint Petersburg Internat. Conf. on Integrated Navigation Systems. 2018:251–254. doi: 10.23919/ICINS.2018.8405889
  5. Adamov BI, Saipulaev GR. Research on the Dynamics of an Omnidirectional Platform Taking into Account Real Design of Mecanum Wheels (As Exemplified by KUKA youBot). Russian Journal of Nonlinear Dynamics. 2020;16(2):291–307. EDN: SJBJQO
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  8. Universal mechanism 9. User manual [internet] cited: 25.02.2024. Available from: https://www.umlab.ru.

Supplementary files

Supplementary Files
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1. JATS XML
2. Fig.1. A mecanum wheel: а, b — plane projections of the Mecanum wheel; c — scheme for building a roller.

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3. Fig. 2. The multibody dynamics model of the Mecanum-wheeled vehicle: a — the main view of the vehicle; b — the Mecanum wheel and the circumferences simulating the roller’s motion.

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4. Fig. 3. Dependence of the coefficient φ on slipping velocity in the contact.

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5. Fig. 4. Wheel speeds required for the omnidirectional motion at maximal velocity.

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6. Fig. 5. Actual and average normal forces acting at the individual roller, the wheel and the vehicle.

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7. Fig. 6. Traction characteristics of the Mecanum vehicle with a maximal rotation velocity limited to 6 rad/s: а — the achievable velocity at the multidirectional motion; b — the torque required to achieve this velocity.

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8. Fig. 7. The vehicle motion controlled with a virtual joystick, rear left wheel trajectory.

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9. Fig. 8. Kinematic characteristics of the unstable motion.

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10. Fig. 9. Driving torques required for the unstable motion.

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