HUB FOR A BICYCLE WHEEL ALLOWING THE DETERMINATION OF THE DRIVING TORQUE AND OF THE POWER GENERATED BY THE CYCLIST
20200025637 ยท 2020-01-23
Assignee
Inventors
- Florian PORTE (Grenoble Cedex 09, FR)
- Thomas Dupont (Loriol-sur-Drome, FR)
- Pierre-Jean Martin (Loriol-sur-Drome, FR)
Cpc classification
B60B27/047
PERFORMING OPERATIONS; TRANSPORTING
B60B27/023
PERFORMING OPERATIONS; TRANSPORTING
International classification
B60B27/04
PERFORMING OPERATIONS; TRANSPORTING
Abstract
Hub for a bicycle wheel allowing the determination of the driving torque of a bicycle wheel, comprising a torque lateral flange intended for the fastening of transmission spokes transmitting the torque of the wheel hub to the rim, strain gauges and/or pairs of strain gauges arranged on the torque lateral flange in the vicinity of at least certain attachment points of the spokes, said strain gauges being configured to deliver signals making it possible to determine the driving torque of the wheel.
Claims
1. A hub for a bicycle wheel allowing the determination of the driving torque of a bicycle wheel, comprising a longitudinal axis, a central body intended to be mounted to rotate freely about a central shaft, the longitudinal axis being intended to be coaxial to the central shaft, lateral flanges intended for the fastening of an end of wheel spokes, among which a torque lateral flange intended for the fastening of at least one portion of the transmission spokes transmitting the torque from the hub to the rim, strain gauges and/or pairs of strain gauges mounted directly on the torque lateral flange in zones where the forces applied to the spokes are concentrated, said strain gauges being arranged in such a way as to deliver signals making it possible to determine the driving torque of the wheel.
2. The hub for a bicycle wheel according to claim 1, wherein at least the torque lateral flange comprises attachment points of the first ends of the spokes, and wherein the strain gauges and/or pairs of strain gauges are located in the vicinity of at least certain attachment points of the spokes.
3. The hub for a bicycle wheel according to claim 1, wherein the gauges of each pair of strain gauges are mounted as a Wheatstone half bridge, and wherein the pairs of gauges are arranged in zones of the torque lateral flange that are simultaneously subjected to a traction and a compression.
4. The hub for a bicycle wheel according to claim 1, wherein the pairs of strain gauges are mounted on an external face of the torque lateral flange substantially orthogonally to the longitudinal axis of the wheel hub.
5. The hub for a bicycle wheel according to claim 1, wherein each gauge is arranged on a zone of the torque lateral flange that are subjected at a given instant to a traction or a compression.
6. The hub for a bicycle wheel according to claim 1, wherein the torque lateral flange comprises lugs radially protruding outwards, with each lug comprising at least one fastening point of a transmission spoke, with each gauge or pair of gauges being arranged on a lug.
7. The hub for a bicycle wheel according to claim 1, wherein the strain gauges are piezoresistive gauges.
8. The hub for a bicycle wheel according to claim 1, comprising a number of strain gauges and/or pairs of strain gauges in such a way as to supply signals for at least three separate angular positions on the central body of the torque lateral flange.
9. A system for determining the driving power of a bicycle wheel comprising a hub of a bicycle wheel according to claim 1 and means for determining the angular speed of the body of the wheel hub with respect to the central shaft.
10. A bicycle wheel comprising a hub of a bicycle wheel according to claim 1, a rim, at least transmission spokes of which one end is attached to the torque lateral flange and another end is fastened to the rim.
11. A method for determining the driving torque implementing a hub for a bicycle wheel having a hub that includes a longitudinal axis, a central body intended to be mounted to rotate freely about a central shaft, the longitudinal axis being intended to be coaxial to the central shaft, lateral flanges intended for the fastening of an end of wheel spokes, among which a torque lateral flange intended for the fastening of at least one portion of the transmission spokes transmitting the torque from the hub to the rim, strain gauges and/or pairs of strain gauges mounted directly on the torque lateral flange in zones where the forces applied to the spokes are concentrated, said strain gauges being arranged in such a way as to deliver signals making it possible to determine the driving torque of the wheel, a rim, at least transmission spokes of which one end is attached to the torque lateral flange and another end is fastened to the rim, the method comprising: a) collecting signals from the strain gauges, b) determining the driving torque from signals from strain gauges and from a relationship determined beforehand connecting the signals of the gauges and a first sensitivity of each strain gauge or pair of strain gauges to a tangent force resulting from the driving torque according to the angular position of the wheel hub, a second sensitivity of each strain gauge or pair of strain gauges to a front force resulting from the weight of the cyclist according to the angular position of the wheel hub, and a third sensitivity of each strain gauge or pair of strain gauges to a lateral force resulting from the inclination of the wheel hub according to the angular position of the wheel hub.
12. The method for determining according to claim 11, comprising, prior to the step a), the step of determining said relationship from the signals supplied by the gauges when the wheel hub is mounted on a measuring bench and/or a step of adjusting tensions of the transmission spokes comprising: collecting signals from gauges or pairs of gauges, comparing said signals, if the difference between the value of at least one signal and the values of the other signals is greater than a given threshold, a tension differential in at least one transmission spoke in respect is diagnosed, determining of the at least one transmission spoke having a tension differential with respect to the others, modifying the tension of said at least one transmission spoke, verifying the tension of the transmission spokes.
13. The method for determining according to claim 11, wherein in the step b) the traction torque C.sub.T, the weight P of the cyclist, the inclination of the wheel carrying the wheel hub and the angular speed of the wheel carrying the wheel hub are calculated.
14. The method for determining the driving torque comprising the determining of the driving torque by implementing the method according to claim 11, and the calculating of the product of the angular speed of the wheel and of the driving torque.
15. The method for determining the driving torque according to claim 11, comprising a sub-step of monitoring the state of the transmission tension of a wheel for a bicycle having a hub that includes a longitudinal axis, a central body intended to be mounted to rotate freely about a central shaft, the longitudinal axis being intended to be coaxial to the central shaft, lateral flanges intended for the fastening of an end of wheel spokes, among which a torque lateral flange intended for the fastening of at least one portion of the transmission spokes transmitting the torque from the hub to the rim, strain gauges and/or pairs of strain gauges mounted directly on the torque lateral flange in zones where the forces applied to the spokes are concentrated, said strain gauges being arranged in such a way as to deliver signals making it possible to determine the driving torque of the wheel, a rim, at least transmission spokes of which one end is attached to the torque lateral flange and another end is fastened to the rim, the method comprising the steps: collecting signals from gauges or pairs of gauges, comparing said signals, if the difference between the value of at least one signal and the values of the other signals is greater than a given threshold, a tension differential in at least one transmission spoke in respect is diagnosed, determining of the at least one transmission spoke having a tension differential with respect to the others, modifying the tension of said at least one transmission spoke, verifying the tension of the transmission spokes.
16. The hub for a bicycle wheel according to claim 1, wherein at least the torque lateral flange comprises attachment points of the first ends of the spokes, and wherein the strain gauges and/or pairs of strain gauges are located as close as possible to the attachment points of the spokes.
17. A method for monitoring the state of the transmission spoke tensions of a wheel having a hub that includes a longitudinal axis, a central body intended to be mounted to rotate freely about a central shaft, the longitudinal axis being intended to be coaxial to the central shaft, lateral flanges intended for the fastening of an end of wheel spokes, among which a torque lateral flange intended for the fastening of at least one portion of the transmission spokes transmitting the torque from the hub to the rim, strain gauges and/or pairs of strain gauges mounted directly on the torque lateral flange in zones where the forces applied to the spokes are concentrated, said strain gauges being arranged in such a way as to deliver signals making it possible to determine the driving torque of the wheel, a rim, at least transmission spokes of which one end is attached to the torque lateral flange and another end is fastened to the rim, the method comprising the steps: collecting signals from gauges or pairs of gauges, comparing said signals, if the difference between the value of at least one signal and the values of the other signals is greater than a given threshold, a tension differential in at least one transmission spoke in respect is diagnosed, determining of the at least one transmission spoke having a tension differential with respect to the others, modifying the tension of said at least one transmission spoke, verifying the tension of the transmission spokes.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0036] The present invention shall be better understood based on the following description and the accompanying drawings wherein:
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DETAILED DISCLOSURE OF PARTICULAR EMBODIMENTS
[0057] The present invention shall be described mainly for a two-wheel bicycle, but the invention applies to a wheel hub that can equip any type of bicycle, for example with one wheel or with three wheels or more. Furthermore, the hub according to the invention can be applied to bicycles that are propelled solely by the energy of the cyclist and also to bicycles with assisted propulsion, for example electrically.
[0058] In
[0059] The cycle comprises a steered wheel 2 and a drive wheel 4. The drive wheel 4 is generally arranged at the rear in relation to the position of the cyclist. The drive wheel 4 comprises a hub 6 mounted to rotate freely on a rotating shaft 9. The hub 6 comprises at least one pinion 8.
[0060] The cycle comprises a pedal 10 provided with at least one pinion 12 which drives the pinion 8 carried by a hub 6 by the intermediary of a chain 14.
[0061] The drive wheel comprises a rim 16 connected to the hub 6 by spokes. The rim 16 generally carries a tyre 20.
[0062] At least a portion of the spokes is used to transmit the torque of the hub 6 to the rim 16.
[0063] In
[0064] For example, a lateral flange 24, referred to as torque lateral flange, is used for the fastening of the spokes transmitting the torque from the hub to the rim and a lateral flange 26, referred to as lateral centring flange, is used for the fastening of the spokes providing the centring of the hub with respect to the rim. The spokes 18 are designated as transmission spokes.
[0065] Generally the centring spokes are oriented radially from the hub towards the rim and the transmission spokes of the torque 18 are inclined with respect to the radial direction.
[0066] The tension of the spokes can be adjusted. For this a nut, called a spoke head, is provided at an end of the spoke, either on the rim side, or on the hub side. By turning this nut in one direction or the other, the tension of the spoke is modified. It is sought to have the same tension on each spoke.
[0067] In
[0068] The invention applies to the hub transmitting the torque to the rim, it shall be designated as engine hub.
[0069] According to the invention, the engine hub 6 comprises a measuring system comprising devices for measuring strain 28 arranged in the vicinity of the fastening points of the transmission spokes 18. The devices for measuring strain 28 comprise one or several strain gauges fastened, for example glued, on the torque lateral flange 24. The torque lateral flange 24 on which are fastened the gauges forms a test body that translates a force or a torque into a mechanical strain, which is measured by a variation in the electrical resistance of the gauge or gauges. The test body and the gauges form a member sensitive to the drive force but also to the forces that are not useful in the propulsion of the bicycle. Thanks to this sensitive member, it is possible to isolate the drive force and to calculate the driving torque and therefore the drive power. The strain gauges are arranged on the torque flange at the locations where the forces applied to the spokes are concentrated.
[0070] In the example shown, the strain gauges are arranged in the vicinity of the attachment points of the spokes to the torque lateral flange. Preferably, the strain gauges are arranged at a distance between 1 mm and 2 cm of attachment points.
[0071] Alternatively, the torque lateral flange is configured to localise the concentration of the forces applied to the spokes in different zones of the attachment points, for example by thinning the portions of the torque flange that carry the attachment points.
[0072] In
[0073] The spokes 18 extend symmetrically from a lug in the direction of the rim, with respect to a radial axis AA.
[0074] In this example, the devices for measuring strain 28 are arranged in zones that are subjected to both a traction and a compression. The devices for measuring strain 28 each comprise a pair of gauges mounted as a Wheatstone half bridge. Each one of the gauges is sensitive to the extension and to the compression, with the mounting as a half bridge making it possible to add these two effects.
[0075] Pairs of gauges 28.1 to 28.6 are placed on the lugs 32.1 to 32.6 respectively.
[0076] In
[0077] The gauges are placed as close as possible to the attachment points on the hub. This arrangement advantageously makes it possible to avoid the influence of the strains due to the pawl mechanism CL generally arranged in the hub.
[0078] In the example of a hub shown in
[0079] A mechanical reinforcement can advantageously be provided to distribute the load of the pawls over the periphery of the hub.
[0080] Alternatively, the system for measuring comprises as many pairs of gauges as lugs, even as many pairs of gauges as spokes.
[0081] The orientation of the gauges can advantageously be determined by modelling the forces generated by the spokes on the various zones of the torque lateral flange so as to determine which zones undergo an extension and which zones undergo a compression.
[0082] In
[0083] In
[0084] The gauges are arranged on the lug between the two attachment points.
[0085] In
[0086] It will be understood that the arrangement and the number of gauges depend on the geometry of the hub and the configuration of the attachment points in relation to one another. Preferably, at least three gauges or pairs of gauges as a Wheatstone half bridge are implemented, preferably distributed angularly regularly about the axis of the hub.
[0087] The gauges are preferably piezoresistive gauges because they are more suited to low frequencies, and the signal processing is faster and the results are more precise with respect to those of piezoelectric gauges, however the implementing of piezoelectric gauges can be considered.
[0088] The gauges are connected to an analogue/digital converter that converts the variation in voltages at the terminals of the half bridges, optionally integrated to a microcontroller UC. The microcontroller UC provides the processing of the digital signals, such as described hereinbelow. The microcontroller is carried by an electronic card. Preferably the card has the same shape as the flange in such a way as to be placed against the latter so as to reduce the size as well as to facilitate the connection between the card and the gauges. The gauges and the microcontroller are powered by a battery for example assembled on the electronic card. The electronic card communicates advantageously with an on-board computer, designated as C, that can be fastened to the handlebars of the bicycle (
[0089] Several methods for determining the drive power supplied by the cyclist using the instrumented hub according to the invention shall now be described.
[0090] Prior to the implementation of a method for determining the drive power generated by the cyclist, a step of calibration is carried out. The calibration parameters obtained are recorded in the microcontroller.
[0091] Preferably, the existence of an imbalance in the tension of the spokes is verified and it is corrected. This step more preferably takes placed on a factory bench.
[0092] Very advantageously, the hub according to the invention makes it possible to detect this imbalance in the tension of the spokes and then to correct it. This step of balancing the tensions of the spokes is more preferably carried out before the hub is used in order to optimise the flatness of the wheel and to prevent an error in the determining of the driving torque. The threshold as a percentage beyond which it is considered that there is an imbalance can be configured, it is for example of about 10%.
[0093] Indeed, reading the signals of the gauges makes it possible to detect an imbalance in the tension of the spokes when the wheel is not subjected to any force, i.e. when the bicycle is stopped and the cyclist is not on the bicycle. For example, if the signal from one of the gauges shows a significant deviation with respect to the other signals, this can mean an imbalance in the tensions of the spokes.
[0094] After this step of detecting, the adjusting of the tension of the spokes can be carried out by tuning the vibration frequency of the spokes when they are stressed by an impact, using a vibratory analysis, of the Fourier transform type or based on the principle of a guitar tuner. The resonance frequency is measured with a vibration sensor, such as for example a piezoresistive or piezoelectric microphone. This method allows for a very precise adjustment of the tension of each spoke.
[0095] In
[0096] Alternatively, the adjusting can be carried out by directly using the signals supplied by the gauges instead of making use of a vibration sensor.
[0097] The adjusting of the tension of the spokes is obtained by manipulating the nuts at the end of the spokes by means of a suitable tool, such as pliers or a spanner.
[0098] A Reset step can advantageously be carried out before the bicycle is used in order to compensate for the differences in sensitivities of the gauges due to the variation in tension of the spokes without having to adjust the latter or in order to compensate for a variation in the sensitivities once the tension of the spokes has been adjusted, by applying a corrective coefficient to the values coming from the calibration on a bench, recorded in the microcontroller. This adjusting makes it possible to substantially reduce, and even suppress, a parasitic effect on one or several signals emitted by the gauges. Advantageously the factory parameters can be restored if requested by the user.
[0099] Each one of these signals supplied by the gauges depends on:
[0100] the motor torque or driving torque, applied to the wheel by the effective force of the cyclist, i.e. the force tangent to the wheel, which makes it possible to have the bicycle move forward; all the gauges regardless of the angular position are sensitive to this tangent force,
[0101] parasitic forces applied to the wheel: the frontal forces resulting from the weight of the cyclist, and on the lateral forces resulting from the rocking movement of the bicycle during pedalling;
[0102] the sensitivity of the half bridges of gauges which depends, for the parasitic forces, on the location where the force is applied, i.e. on the angular position of the wheel.
[0103] the tension of the spokes.
[0104] The step of calibrating comprises the determining of the functions f.sub.Li and f.sub.Fi which model the sensitivities of each half bridge 28.1, 28.2, 28.3, 28.4 to the lateral force and to the frontal force respectively according to the angular position. J.sub.1, J.sub.2, J.sub.3, J.sub.4 are the signals or measurements of the half bridges 28.1, 28.2, 28.3, 28.4 respectively.
[0105] For example the functions f.sub.Li and f.sub.Fi can be determined by applying a processing of the signal implementing techniques that will make it possible to extract information from the signal by taking account of the periodicity thereof. Well-known methods can be applied, such as breakdown into Fourier series of the signals coming from the gauges:
[0106] By taking account of the effect of the weight of the cyclist P, of the inclination and of the torque C.sub.T, the equation consists in calculating the matrix H defined by:
[0107] The matrix H can be developed in the following way:
[0108] with:
[0109] S().sub.Ji, the respective sensitivities of the gauges to the tangent force, with .sub.i=1.sup.nS().sub.Ji=1
[0110] f.sub.Li and f.sub.Fi, the sensitivities of the bridges to the lateral and frontal forces respectively according to the angular position of the wheel.
[0111] The sensitivities f.sub.Li, f.sub.Fi and S().sub.Ji are obtained from signals of the gauge half bridges on a bench in particular conditions in which either a lateral force, or only a frontal force is applied to the wheel.
[0112]
[0113] In the following example, the sensitivities f.sub.Li and f.sub.Fi are determined for the hub of
[0114] In this example, the tabs 434.1 and 434.3 are aligned radially with the lugs 432.1 and 432.4 and the tabs 434.2 and 434.4 are aligned radially with the connection zone of the lugs 432.2 and 432.3 and connection zone of the lugs 432.5 and 432.6 respectively. The half bridges 428.1 to 428.4 are mounted on the tabs 432.1 to 432.4 respectively.
[0115] In
[0116] J.sub.1, J.sub.2, J.sub.3, J.sub.4 are the signals or measurements of the half bridges 28.1, 28.2, 28.3, 28.4 respectively. It is to be noted that the inversion of the signal J.sub.3 is solely due to an inverted connection on the half bridge 28.3.
[0117] In
[0118] In order to be able to carry out the signal processing, it is determined beforehand, for example on a measuring bench, the sensitivity of the gauges to the drive torque or tangent force, the sensitivity to the frontal force (weight of the cyclist) and the sensitivity of the lateral force resulting from the back-and-forth movement of the bicycle, according to the angular position of the wheel.
[0119] The sensitivity is the ratio between the measurement of a gauge in mV and a reference measurement in mV taken by a reference sensor, which supplies a linear response according to the force applied. The reference sensor is for example a calibrated model manufactured by the company SCAIME, having very good precision, i.e. >0.03% full scale error, and a measurement range from 0 to 100 kg. In
[0120] In
[0121] It is observed that this sensitivity is different according to the location of the gauges on the hub. This variation in sensitivity is linked to the hub of
[0122] In
[0123] The sensitivity of the gauges to the frontal force is periodical, it is therefore possible to model the variation in the sensitivity of the gauges to the frontal force according to the angular position of the wheel, and therefore, at each instant by knowing the angular position of the wheel and the weight of the cyclist, to correct the measurements in order to suppress the effect of the frontal force.
[0124] As a comparison in
[0125] In
[0126] In the example given, the determining of the sensitivities is carried out at a force intensity and angle of inclination that are constant. Alternatively, it is possible to vary the intensity of the frontal force, the intensity of the lateral force and the angle of inclination .
[0127] As for the sensitivity of the frontal force, the sensitivity of the gauges to the lateral force is periodical for a value of the angle of inclination, it is therefore possible to model the variation in the sensitivity of the gauges to the lateral force according to the angular position of the wheel and according to the angle of inclination , and therefore, at each instant by knowing the angular position of the wheel and the weight of the cyclist, to correct the measurements in order to suppress the effect of the frontal force. It is to be noted that it is considered that the effect of the weight of the cyclist, when the bicycle is inclined by an angle , is equivalent to a force P sin applied perpendicularly to the wheel.
[0128] In an advantageous example, a temperature sensor can be provided for example integrated into the electronic card, making it possible to correct any influence of the latter.
[0129] A first example of the method for determining the drive power shall now be described.
[0130] The method for determining the drive power using the instrumented hub comprises the following steps:
[0131] Acquisition of signals J.sub.1, J.sub.2, J.sub.3, J.sub.4 emitted by the gauges.
[0132] The matrix H obtained during the step of calibration is then inverted,
[0133] Using the inverted matrix H.sup.1 and signals J.sub.1, J.sub.2, J.sub.3, J.sub.4, C.sub.T, P, , are calculated.
[0134] Processing of the signals in order to extract the portion relative to the drive torque applied to the wheel and making it possible to determine the power generated by the cyclist, and the part relative to the parasite forces.
[0135] Calculation of the power generated by the cyclist.
[0136] This method has for advantage of not having to implement means for measuring the angular position of the wheel and of the angle of inclination of the wheel.
[0137] The functions that represent the sensitivities f.sub.Li, f.sub.Fi and S().sub.Ji are preferably chosen to be relatively simple, making them compatible with the computational capacities of the microcontroller, for example with an inverse method algorithm.
[0138] A hub for determining that comprises as many gauge half bridges or gauges emitting separate signals as unknowns is used to implement the method according to the first example. In the case where the weight of the cyclist is not known, four signals are measured in order to determine C.sub.T, P, , . In the case where the weight of the cyclist is known, three signals are measured in order to measure C.sub.T, , .
[0139] As the drive power is the product of C.sub.T and of the angular speed, it is then possible to calculate the power generated by the cyclist as a function of time, by calculating the angular speed starting from .
[0140] According to a substantially simplified alternative of the method according to the first example, the sum S is taken of the signals J.sub.1, J.sub.2, J.sub.3, J.sub.4 at each angular position, which makes it possible to suppress the effect of the pawls. This sum for each position A; B, C and D is shown in
[0141] By comparing the sum S=J.sub.1+J.sub.2+J.sub.3+J.sub.4 and the quantity Q=J.sub.1+J.sub.3J.sub.2J.sub.4 over time (on the abscissa the time is given in wheel revolutions
[0142] At each instant, the four half bridges see the front forces and lateral forces that depend on the angular position of the half bridges.
[0143] Thus in the quantity Q, the share of the tangent force is suppressed.
[0144] For example, by calculating SQ/2, a good approximation is obtained of the traction torque C.sub.T. The instantaneous power is given by C.sub.T, being the angular speed. Thus by knowing the angular speed, it is possible to determine the instantaneous power generated by the cyclist.
[0145] According to a second example of the process for determining the drive power, the angular speed and the angle of inclination obtained by the data from a gyroscope and/or from an accelerometer are used as shall be described hereinbelow. Furthermore, the weight of the cyclist is generally known. This method has the advantage of reducing the computational volume of the microcontroller and of allowing for a verification via redundancy.
[0146] The angular speed can be calculated using the angular position of the wheel which can be obtained, as well as the inclination of the wheel, from the data of a gyroscope and possibly a reference, for example supplied by a magnet on the frame and a magnetometer on the hub, for example the axis gy of a gyroscope directly gives the instantaneous angular speed of the wheel.
[0147] Alternatively, the angular position of the wheel and its inclination can be obtained by merging the data of an accelerometer, of a gyroscope and of a magnetometer.
[0148] In
[0149] The period I corresponds to a cyclist stopped. The period II corresponds to a cyclist performing pedalling in a seated position. The period III corresponds to a cyclist performing pedalling in a standing position. The period IV corresponds to a cyclist standing up on the pedals, and the period V corresponds to a free wheel phase.
[0150] Accel X is the acceleration in the direction X.
[0151] Accel Y is the acceleration in the direction Y.
[0152] Accel Z is the acceleration in the direction Z.
[0153] In
[0154] gx is the angular speed about the axis X.
[0155] gy is the angular speed about the axis Y.
[0156] gz is the angular speed about the axis Z.
[0157] Using the values of C.sub.T, of , of P and of , it is also possible to determine the different modes of pedalling applied by the cyclist.
[0158] Indeed, when C.sub.T is zero and varies, the cyclist is not pedalling and the bicycle is in free wheel.
[0159] In the sitting mode, the weight is supported more on the rear wheel, a maximum value of P is then observed.
[0160] In the standing up on the pedals mode, a side-to-side rocking movement therefore a strong variation in is observed.
[0161] The user can determine the thresholds according to his weight and his gesture.
[0162]
[0163] Pi1 is the instantaneous power calculated using the signals obtained thanks to the hub according to the invention by calculating the drive torque using the quantity SQ/2.
[0164] Pi2 is the instantaneous power calculated using the signals obtained thanks to the hub according to the invention by calculating the drive torque using the quantity S.
[0165] Pi3 is the instantaneous power calculated using a reference measurement taken in the pedals.
[0166] Pint is the integral of the power at each pedal stroke, the value read is the power developed during the preceding pedal stroke. Calculating Pint makes it possible to provide for example to the cyclist information on the average power of the preceding pedal stroke that is more comprehensible than the instantaneous power which varies constantly.
[0167] The instantaneous power varies in a substantially sinusoidal manner, with each sinusoid corresponding to a pedal stroke: the beginning and the end of each pedal stroke is determined by the passing through a minimum of the value of the drive torque with a value less than 10% of the value of the maximum drive torque.
[0168] It is observed, on the one hand, that the instantaneous powers Pi1 and Pi2 obtained thanks to the signals from the hub according to the invention are coherent with the power Pi3 measured at the pedals.
[0169] The power Pi2 is greater than the power Pi1, as it integrates all of the parasitic forces.
[0170] In
[0171] As indicated hereinabove, the signals supplied by the gauges can make it possible to distinguish the different pedalling modes.