Mecanum Wheel Roller Diameter Ratio for Uniform Running
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Mecanum wheels with rolling elements of different diameters exhibit irregular running behavior, which affects their performance and precision, especially under heavy loads.
Innovation Solution
A wheel design with a driven wheel body featuring two support elements and multiple rolling elements with a crowned surface, where the ratio of the outside diameter to the maximum radius is between 1.08 and 1.13, and the rolling elements are angled at 45° to the wheel axis, ensuring uniform loading and deformation through a polyurethane elastomer coating, promoting consistent contact and rolling performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If rolling elements are mounted on wheel bodies of different diameters, then the wheel can accommodate various load requirements, but the running behavior becomes irregular
Solution Approach 1:
The patent establishes a specific parameter range for the ratio of outside diameter to maximum rolling element radius (1.08-1.13) to ensure uniform running behavior. This parameter optimization resolves the contradiction by providing a design guideline that maintains running regularity while allowing adaptation to different loads through rolling element configuration rather than diameter variation.
2Strength
If the ratio of outside diameter to maximum rolling element radius is increased, then the wheel can support heavier loads, but the running smoothness decreases
Solution Approach 1:
The patent identifies an optimal parameter range (1.08-1.13) for the ratio of outside diameter to maximum rolling element radius that balances load bearing capacity with running smoothness. This parameter optimization allows the wheel to support heavy loads while maintaining high running uniformity and concentricity, resolving the contradiction between strength and precision.
3Ease of manufacture
If traditional plastic coating crowning is used, then the rolling elements can be manufactured simply, but the loading and deformation becomes uneven
Solution Approach 1:
The patent applies crowned surfaces to the rolling elements, which distributes loading and deformation uniformly across the contact area. This curvature design resolves the contradiction by ensuring even loading and deformation while maintaining manufacturing feasibility through standard crowning processes.
Solution Approach 2:
The patent uses a polyurethane elastomer coating (such as VULKOLLAN®) on the rolling elements to achieve uniform deformation and contact properties. This composite material approach provides consistent material properties across the rolling surface, ensuring uniform loading while maintaining ease of manufacture through coating applications.
4Reliability
If the number of rolling elements is increased, then the load distribution improves, but the device complexity increases
Solution Approach 1:
The patent pre-determines the optimal number of rolling elements (specifically nine) and their uniform spacing to achieve optimal force and load distribution. This preliminary optimization resolves the contradiction by establishing a specific configuration that provides excellent load distribution without excessive complexity, avoiding the need for continuous adjustment or optimization.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The wheel achieves uniform running smoothness and high concentricity, enabling precise positioning even under heavy loads, with optimal performance at a ratio of 1.10 to 1.11, particularly with nine rolling elements spaced uniformly.
Implementation Method 1
uniform loading and deformation of the plastic layer over the entire radius of the rolling element is ensured
Implementation Method 2
a plastic coating applied to the outer circumference of the carrier body, in particular of a polyurethane elastomer
Implementation Method 3
a plurality of rolling elements with a crowned surface are rotatably situated between two support elements
Data Source
AI summary
The invention relates to a wheel (1) with a driven wheel body (2), comprising two support elements (21, 22), between which a number of roller bodies (3) with a spherical surface are arrange to rotate, which at least partly extend beyond the circumference of the support elements (21, 22) the rotational axes of which are arranged at an angle to the rotational axis (23) of the wheel body (2). The ratio of the outer diameter (Du) of the wheel (1) to the maximum radius (Ra) of the roller body (3) is between 1.08 and 1.13, in particular, between 1.09 and 1.12.