Spherical wheel intended for moving a vehicle and vehicle using the wheel
09895928 ยท 2018-02-20
Assignee
Inventors
Cpc classification
B60B37/04
PERFORMING OPERATIONS; TRANSPORTING
B60B2900/551
PERFORMING OPERATIONS; TRANSPORTING
International classification
Abstract
A spherical wheel to move a vehicle comprises two caps, the surface of which follows the spherical surface of the wheel, the caps being articulated by means of a pivot link relative to a shaft. The wheel further comprises two casters each arranged in an opening of each of the caps, the opening centered about the axis of the corresponding pivot link, each caster arranged in the extension of the pivot link of the cap concerned. Each caster ensures a rolling at the level of the spherical surface. Radii S of the opening of each cap and r of the corresponding caster are defined to substantially balance forces needed to drive a cap and the corresponding caster when the wheel goes from bearing on the ground on a cap at the edge of the opening to bearing on the ground on the corresponding caster.
Claims
1. A spherical wheel configured to move a vehicle and be driven in rotation by a shaft rotating about an axis, the wheel comprising: first and second caps, each of the first and second caps having a surface that follows a spherical surface of the wheel and delimited by a plane, each of the first and second caps being articulated a pivot link relative to the shaft about an axis at a right angles to the plane of the each of the first and second caps; and first and second casters, each of the first and second casters arranged in an opening of the first and second caps, the openings being circular and centered about the axis of the corresponding pivot link, each of the first and second casters being arranged in an extension of the pivot link of one of the first and second caps, each of the first and second casters being free to rotate about an axis at right angles to the axis of the shaft, each of the first and second casters ensuring that the spherical wheel rolls, wherein a radius of the openings of each of the first and second caps and a radius of each of the first and second casters are defined to substantially balance forces needed to drive the first and second caps and the first and second casters when the spherical wheel goes from bearing on one of the first and second caps to bearing on one of the first and second casters.
2. The spherical wheel of claim 1, wherein a rolling line of the casters occupies an angular sector centered on the center of the spherical wheel and wherein the angular sector is greater than 35?.
3. The spherical wheel of claim 2, wherein the angular sector is less than 125?.
4. The spherical wheel of claim 2, wherein the angular sector is between 45? and 50?.
5. The spherical wheel of claim 1, wherein a greater radius of each of the first and second casters about its respective axis is greater than a quarter of the radius of the spherical wheel.
6. The spherical wheel of claim 5, wherein a greater radius of each of the first and second casters about its respective axis is greater than a third of the radius of the spherical wheel.
7. The spherical wheel of claim 6, wherein a greater radius of each of the first and second casters about its respective axis is equal to half the radius of the spherical wheel.
8. The spherical wheel of claim 1, wherein, for each of the first and second caps, a friction torque Cf.sub.c is defined at a level of the pivot link between each of the first and second caps and the shaft, wherein, for each of the first and second casters, a friction torque Cf.sub.r is defined in its freedom to rotate relative to the shaft, and wherein the radii S of the opening of the first and second caps and r of the first and second casters are defined so that the following equality is substantially observed:
Cf.sub.c/S=Cf.sub.r/r.
9. The spherical wheel of claim 1, wherein the first and second caps and the first and second casters are defined to substantially balance kinetic energies of one the first and second caps and of the one of the first and second casters when the spherical wheel goes from bearing on the one of the first and second caps at an edge of the opening to bearing on the one of the first and second casters.
10. The spherical wheel of claim 9, wherein, for each of the first and second caps, a moment of inertia I.sub.c is defined about an axis of the pivot link between the first and second caps and the shaft, wherein, for each of the first and second casters, a moment of inertia I.sub.r is defined about a rotating axis relative to the shaft, and wherein dimensions and materials of the first and second caps and of the first and second casters are defined for the following equality to be substantially observed:
11. The spherical wheel of claim 1, further comprising first and second covers associated with each of the first and second casters and fixed to the shaft, wherein the first and second covers form a portion of the spherical surface coming into the extension of the spherical surface of the first and second caps at the level of the opening through which said caster is arranged, wherein the first and second covers partly cover said first and second casters from said opening and wherein the first and second covers extend symmetrically relative to a rolling line of the first and second casters.
12. A vehicle, comprising at least three spherical wheels of claim 1, wherein axes of the shafts of at least two of the spherical wheels are not arranged in a same plane.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The invention will be better understood and other advantages will become apparent on reading the detailed description of an embodiment given by way of example, the description being illustrated by the attached drawing in which:
(2)
(3)
(4)
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(7)
(8) For clarity, the same elements will bear the same references in the different figures.
DETAILED DESCRIPTION
(9)
(10) The wheel 10 comprises two caps 15 and 16, the outer surface of which follows the spherical surface of the wheel 10. The cap 15 is delimited by a plane 17 and the cap 16 is delimited by a plane 18. The caps 15 and 16 are each articulated by means of a pivot link, respectively 19 and 20, relative to the shaft 12. The axis 21 of the pivot link 19 is at right angles to the plane 17 of the cap 15 and the axis 22 of the pivot link 20 is at right angles to the plane 18 of the cap 16. The two pivot links 19 and 20 are arranged inside their respective cap and will be detailed later.
(11) It is possible to produce caps 15 and 16 that are different, but, advantageously, the latter are identical and arranged symmetrically relative to the shaft 12. In other words, the planes 17 and 18 are secant along a line having a point of intersection 23 with the axis 14 of the shaft 12. In this configuration, the axes 21 and 22 of the two pivot links 19 and 20 are secant and form a non-zero angle between them.
(12) The wheel 10 is intended to roll on the ground referenced 25 in
(13) In other words, the cap in contact with the ground 25 can be driven by two movements: a first driving rotation about the axis 14 and a second rotation about the axis of its pivot link. The two rotations can of course be combined depending on the direction of the speed vector of the vehicle at the point 27.
(14)
(15) In the operation of the wheels 10 and 30, a singularity occurs when the cap in contact with the ground 25, the cap 16 in
(16) In this configuration, if the vehicle of
(17) The same applies for the wheel 30 which comprises two casters 37 and 38, a caster associated with each of the caps, respectively 31 and 32.
(18) The rest of the description is given in relation to the variant wheel 10 represented in
(19)
(20) The pivot link 19 links the support 40 and the cap 15. The pivot link 19 is formed by a bearing 42. Similarly, the pivot link 20, concealed in
(21) A pivot link 44 links the caster 28 and the shaft 12 via the support 40. The pivot link 44 allows the caster 28 to revolve freely about an axis 47. The pivot link 44 is for example produced by means of a shaft 45 borne at its two ends by the support 40. The caster 28 is passed through by the shaft 45. The caster 28 revolves freely relative to the shaft 45. Bushes can be placed between the shaft 45 and the caster 28. As for the spacer 43, the bushes can be produced in a material with low friction coefficient such as, for example, polytetrafluoroethylene.
(22) Similarly, a pivot link 48, similar to the pivot link 44 and concealed in
(23) The casters 28 and 29 are barrel-shaped so that their respective rolling link 51 and 52, visible in
(24)
(25) To avoid abrupt changes of speed for the cap 15 when the bearing of the wheel 10 on the ground leaves the cap 15, moves to the caster 28 and finally returns to the cap 15, the length of the rolling line 51, and consequently the diameter S of the opening 54, is increased. The rolling line 51 or 52 of each of the casters 28 and 29 occupies an angular sector ? centered on the center of the spherical wheel. Advantageously, the angular sector ? is greater than 35?. Tests in-house have shown that an optimum angular sector value lies between 45? and 50?. By construction, it is possible to produce a maximum angular sector of 130?. The value retained depends on the inertias of the different moving parts and the frictions between these different parts.
(26) The greatest radius of each of the casters 28 and 29 about their axis, respectively 47 and 49, is denoted r. In order to limit the speed of rotation of the casters 28 and 29, it is possible to increase the radius r of the casters 28 and 29. Tests in-house have shown that when the radius r of each of the casters 28 and 29 is greater than a quarter of the radius R of the spherical wheel 10, the reduction in speed of the casters is already notable.
(27) It is possible to achieve a radius r equal to half the radius R of the spherical wheel 10 by means of a particular arrangement of the shaft 12 and of the support 40. The shaft 12 would then have an end that does not reach the center of the sphere. In the configuration where the radius r is equal to half the radius R, the two casters 28 and 29 touch. This makes it possible to increase the inertia of the caster which is in contact with the ground 25. More specifically, when one of the casters enters into contact with the ground, its rotation drives the other caster. The inertia obtained is substantially doubled compared to the inertia of just one caster.
(28) Other intermediate values of proportions between the radii r and R can also be envisaged. While, from a radius r equal to a quarter of the radius R of the sphere, the reduction in the speed of rotation of the caster is already advantageous, it has been found that, when the maximum radius r of each of the casters 28 and 29 about its respective axis 47 and 49 is greater than a third of the radius R, the reduction in the speed of rotation of the caster is particularly advantageous.
(29) It is of course possible to produce this same structure for the casters 27 and 38 of the spherical wheel 30.
(30) The radius r of the casters and the angular sector ? occupied by the rolling line of the casters can be optimized independently of one another. Moreover, the radius S of the opening 54 is linked to the angular sector ? in order to reduce to the maximum the functional play between the caster and its opening. It is advantageous to balance the forces needed to drive a cap and a corresponding caster when the wheel 10 goes from a cap bearing on the ground at the edge of its opening to a bearing on the ground on the corresponding caster and vice-versa. That makes it possible to avoid abrupt variations of the force between the wheel 10 and the ground at the moment of transition, such a variation of force being reflected in a jerk on the shaft 12 and therefore on the vehicle equipped with the wheel 10.
(31) Once the materials are chosen, the balancing of the forces is done mainly by means of the relative dimensions of the radius S of the opening and the radius r of the corresponding caster. To be more concise, the radii S of the opening of each cap and r of the corresponding caster are defined so as to substantially balance forces needed to drive a cap and the corresponding caster when the wheel goes from bearing on the ground on a cap at the edge of the opening to bearing on the ground on the corresponding caster.
(32) For each cap, it is possible to define a friction torque Cf.sub.c at the level of the pivot link between the cap concerned and the shaft 12 and, more specifically, with the support 40. Similarly, it is possible to define, for each caster, a friction torque Cf.sub.r in its freedom to rotate relative to the shaft 12.
(33) It is advantageous to obtain a static balancing of the friction forces due to the two pivot links 19 and 44 or 20 and 48. The static balancing is obtained by defining the radii S of the opening of the cap and r of the corresponding caster so that the following equality is substantially observed:
Cf.sub.c/S=Cf.sub.r/r
(34) Moreover, it is advantageous to obtain a dynamic balancing of the forces. The forces are a function of the inertia of the cap and of the corresponding caster. These two inertias are a function of the materials and of the dimensions of the cap and of the corresponding caster. The caps and the casters are defined so as to substantially balance the kinetic energies of a cap and of the corresponding caster when the wheel goes from bearing on the ground on the cap at the edge of the opening to bearing on the ground on the caster.
(35) More specifically, for each cap, a moment of inertia is defined about the axis of its pivot link between the cap concerned and the shaft. For each caster, a moment of inertia I.sub.r is defined about the axis its freedom to rotate relative to the drive shaft 12 of the wheel 10. The dimensions and the materials of the caps 15 and 16 and of the casters 28 and 29 are defined for the following equality to be substantially observed:
(36)
?c representing the speed of rotation of the cap when the wheel is bearing on the ground on the cap at the edge of the opening and ?r representing the speed of rotation of the caster when the wheel goes from bearing on the ground on the cap at the edge of the opening to bearing on the ground on the caster.
(37) Advantageously, the wheel comprises two covers 56 associated with each caster and fixed to the shaft 12 via the support 40.
(38)