WO2002061372A1 - Dispositif de precession et procede correspondant - Google Patents

Dispositif de precession et procede correspondant Download PDF

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Publication number
WO2002061372A1
WO2002061372A1 PCT/US2001/003083 US0103083W WO02061372A1 WO 2002061372 A1 WO2002061372 A1 WO 2002061372A1 US 0103083 W US0103083 W US 0103083W WO 02061372 A1 WO02061372 A1 WO 02061372A1
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WO
WIPO (PCT)
Prior art keywords
rotor
axis
precessional
flywheels
rotors
Prior art date
Application number
PCT/US2001/003083
Other languages
English (en)
Inventor
Peter W. Hamady
Original Assignee
Hamady Peter W
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Hamady Peter W filed Critical Hamady Peter W
Priority to PCT/US2001/003083 priority Critical patent/WO2002061372A1/fr
Publication of WO2002061372A1 publication Critical patent/WO2002061372A1/fr

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Classifications

    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B21/00Exercising apparatus for developing or strengthening the muscles or joints of the body by working against a counterforce, with or without measuring devices
    • A63B21/22Resisting devices with rotary bodies
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B21/00Exercising apparatus for developing or strengthening the muscles or joints of the body by working against a counterforce, with or without measuring devices
    • A63B21/00058Mechanical means for varying the resistance
    • A63B21/00069Setting or adjusting the resistance level; Compensating for a preload prior to use, e.g. changing length of resistance or adjusting a valve
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B21/00Exercising apparatus for developing or strengthening the muscles or joints of the body by working against a counterforce, with or without measuring devices
    • A63B21/22Resisting devices with rotary bodies
    • A63B21/222Resisting devices with rotary bodies by overcoming gyroscopic forces, e.g. by turning the spin axis
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C19/00Gyroscopes; Turn-sensitive devices using vibrating masses; Turn-sensitive devices without moving masses; Measuring angular rate using gyroscopic effects
    • G01C19/02Rotary gyroscopes

Definitions

  • This invention relates to precessional devices, and particularly, to a device and method which utilize precessional forces in a controlled manner.
  • Precessional devices operate on the principle that a spinning mass, such as
  • the rotor of a gyroscope will resist any deflection of its rotational axis. If the rotational axis is deflected, Newton's Law of conservation of angular momentum dictates that the gyroscope will exert a precessional force at a right angle to the deflecting force.
  • the present invention is briefly described as an apparatus and method of using precessional forces in a controlled manner.
  • the apparatus includes a first rotor spinning on a first spin axis and rotating around a rotational axis; and a second rotor spinning on a second spin axis and rotating around the rotational axis.
  • the apparatus includes a first rotor spinning on a first spin axis; a second rotor spinning on a second spin axis; the first rotor rotating inside a first track assembly; and the second rotor rotating inside a second track assembly.
  • the apparatus includes a first rotor spinning on a first spin axis
  • the apparatus includes a first rotor spinning on a first spin axis; the first rotor including first and second flywheels; and the first rotor rotating inside a support structure.
  • the apparatus includes a first rotor spinning on a first spin axis
  • the apparatus includes a first rotor spinning on a first spin axis; a second rotor spinning on a second spin axis; and a transmission operatively connected to said first and second rotors.
  • the apparatus includes a means for inputting a deflecting torque; and a means for substantially adding precessional torques about a first axis and substantially canceling precessional torques about a second axis.
  • the apparatus includes a first means for producing precessional torques along a first axis and a second axis; a second means for producing precessional torques along the first axis and the second axis; wherein the precesional torques
  • the apparatus includes a first means for producing precessional torques along a first axis and a second axis; a second means for producing precessional torques along the first axis and a second axis; and wherein the precessional torques create a variable resistance along said first axis.
  • the apparatus includes a first means for producing a plurality of precessional forces acting on a first track assembly; a second means for producing a
  • second track assemblies are connected to form a support structure; a plurality of handles mounted to the support structure; and wherein the precessional forces created by said, first
  • a method in another aspect, includes inputting a deflecting torque through a
  • the method includes rotating a first rotor around a rotational axis; and rotating a second rotor around said rotational axis in an opposite direction.
  • the method includes rotating a first rotor around a track
  • the method includes rotating a first spin axle containing a
  • the method includes turning a hand crank to input a first
  • Fig. 1 is a perspective view of a precessional device in accordance with a first embodiment
  • Fig. 2 is a front elevational view of the device in Fig. 1;
  • Fig. 3 is a perspective view of the device in Fig.1 with parts broken away to
  • Fig. 4 A is an exploded perspective view of details of the body of the device
  • Fib. 4B is a side view of the device in Fig. 1 showing the A- , B-B, C-C,
  • Fig. 5A is a top perspective view of the track assemblies of the device of Fig. 1;
  • Fig. 5B is a side elevational view of the track assemblies of the device of Fig. 1;
  • Fig. 5C is a fragmentary cross-sectional side view showing the details of one of the tracks of the device of Fig. 1;
  • Fig. 6 is a perspective view of one of the handles of the device of Fig. 1;
  • Fig. 7 A is a perspective view of the first rotor component of the device of Fig. 1;
  • Fig. 7B is a front elevational view of the first rotor component of the device of Fig. 1;
  • Fig. 7C is a side elevational view of a flywheel of the first rotor component
  • Fig. 8 is a perspective detailed view of the central column of the device of
  • Fig. 9 is a front plan view of a yoke mount assembly of the device of Fig. 1;
  • Fig. 10 A is a perspective view of a yoke component of the device of Fig. 1;
  • Fig. 1 OB is a cross-sectional plan view of the yoke of the device of Fig. 1 taken on line 10-10 of Fig. 10A;
  • Fig. 11 is an exploded perspective detailed view of the central column of the device of Fig. 1;
  • Fig. 12A is a side view of a first driven gear of the device of Fig. 1;
  • Fig. 12B is a top view of the first driven gear of the device of Fig. 1;
  • Fig. 13 A is a side view of a first idler gear of the device of Fig. 1;
  • Fig. 13B is a top view of the first idler gear of the device of Fig. 1;
  • Fig. 14 is a side view of a wire brace assembly of the precessional device of
  • Fig. 15 is a perspective view of a central hub of the precessional device of Fig. 1;
  • Fig. 16 is a sectional view of the device taken along line 16-16 of Fig. 1;
  • Fig. 17A shows the device being employed by an operator to exercise in a direction directly out from the chest
  • Fig. 17B shows the device being employed by an operator to exercise in an
  • Fig. 17C shows the device being employed by an operator to exercise in a downward angled direction
  • Fig. 18A shows a top view of the operator with the device in a first operating position
  • Fig. 18B shows a perspective cutaway view of the device with the rotors in
  • Fig. 18C shows a top cutaway plan view of the device with the rotors in the
  • Fig. 19A shows a top view of the operator with the device in a second operating position
  • Fig. 19B shows a perspective cutaway view of the device with the rotors in the second operating position
  • Fig. 19C shows a top cutaway plan view of the device with the rotors in the second operating position
  • Fig. 20 A shows a top view of the operator's hands in relation to the forces acting on the device in a third operating position
  • Fig. 20B shows a perspective cutaway view of the device with the rotors in
  • Fig. 20C shows a top cutaway plan view of the device with the rotors in the third operating position
  • Fig. 21 A shows a top view of the operator with the device in a fourth operating position
  • Fig. 2 IB shows a perspective cutaway view of the device with the rotors in the fourth operation position
  • Fig. 21C shows a top cutaway plan view of the device with the rotors in the fourth operating position
  • Fig. 22 A shows a top view of the operator with the device in a fifth operating position
  • Fig. 22B shows a perspective cutaway view of the device with the rotors in the fifth operating position
  • Fig. 22C shows a top cutaway plan view of the device with the rotors in the fifth operating position
  • Fig. 23 A shows a top view of the operator with the device in a sixth operating position
  • Fig. 23B shows a perspective cutaway view of the device with the rotors in the sixth operating position
  • Fig. 23 C shows a top cutaway plan view of the device with the rotors in the sixth operating position
  • Fig. 24 A shows a top view of the operator with the device in a seventh
  • Fig. 24B shows a perspective cutaway view of the device with the rotors in the seventh operating position
  • Fig. 24C shows a top cutaway plan view of the device with the rotors in the seventh operating position
  • Fig. 25 A shows a top view of the operator with the device in an eighth operating position
  • Fig. 25B shows a perspective cutaway view of the device with the rotors in the eighth operating position
  • Fig. 25C shows a top cutaway plan view of the device with the rotors in the eighth operating position
  • Fig. 26 A shows a top view of the operator with the device back in the first operating position and a cycle completed
  • Fig. 26B shows a perspective cutaway view of the device with the rotors back in the first operating position
  • Fig. 26C shows a top cutaway plan view of the device with the rotors back
  • Fig. 27A illustrates the first and second rotors rotating in first and second
  • Fig. 27B shows a top cutaway view of the first rotor as it transitions between the first position and the second position (for example purposes) and rotating in a clockwise direction;
  • Fig. 27C shows a top cutaway view of the second rotor as it transitions
  • Fig. 27D shows a diagram of the torque about axis B generated by the first
  • Fig. 27E shows a diagram of the net torque about axis B generated by the
  • Fig. 27F shows a diagram of the torque about axis C generated by the first
  • Fig. 27G shows a diagram of the net torque about axis C generated by the rotors and the operator on the same graph over time
  • Fig. 27H-27J disclose a method of operation of the precessional device
  • Fig. 28 is a sectional view of a second embodiment of the precessional
  • Fig. 29 shows the device being employed by an operator to exercise in a
  • Fig. 30A shows the operator's hands in relation to the forces acting on the
  • Fig. 3 OB shows an isometric cutaway view of the device with the rotors in
  • Fig. 30C shows a top cutaway plan view of the device with the rotors in the first location
  • Fig. 31 A shows the operator's hands in relation to the forces acting on the device in the second location
  • Fig. 3 IB shows an isometric cutaway view of the device with the rotors in the second location
  • Fig. 3 IC shows a top cutaway plan view of the device with the rotors in the second location
  • Fig. 32 A shows the operator's hands in relation to the forces acting on the device in the third location
  • Fig. 32B shows an isometric cutaway view of the device with the rotors in the third location
  • Fig. 32C shows a top cutaway plan view of the device with the rotors in the third location
  • Fig. 33A shows the operator's hands in relation to the forces acting on the device in the fourth location
  • Fig. 33B shows an isometric cutaway view of the device with the rotors in the fourth location
  • Fig. 33C shows a top cutaway plan view of the device with the rotors in the fourth location
  • Fig. 34 A shows the operator's hands in relation to the forces acting on the
  • Fig. 34B shows an isometric cutaway view of the device with the rotors in
  • Fig. 34C shows a top cutaway plan view of the device with the rotors in the fifth location
  • Fig. 35A shows a top cutaway plan view of the first rotor as it transitions between the first and second location and rotating in a clockwise direction;
  • Fig. 35B shows a top cutaway plan view of the second rotor as it transitions between the first and second location and rotating in a counter-clockwise direction;
  • Fig. 35C shows a diagram of the torque about the B axis generated by the first and second rotors compared on the same graph over time;
  • Fig. 35D shows a diagram of the net torque about the B axis generated by
  • Fig. 35E shows a diagram of the torque about axis C generated by the first and second rotors compared on the same graph over time
  • Fig. 35F shows a diagram of the net torque about axis C generated by the rotors and the operator on the same graph over time
  • Fig. 36 illustrates a third embodiment of the precessional device in a
  • Fig. 37A shows a perspective view of a fourth embodiment of the
  • precessional device with the housing broken away to show internal structure
  • Fig. 37B shows a top plan view of the fourth embodiment of the precessional device
  • Fig. 37C shows a handcrank to be used with the fourth embodiment
  • Fig. 37D shows a front perspective sectional view of the fourth embodiment of the precessional device taken along line 37-37 in Figure 37B;
  • Fig. 37E shows an exploded view of the fourth embodiment of the precessional device
  • Fig. 38A is a perspective view of a fifth embodiment of the precessional device with the housing broken away to show internal structure;
  • Fig. 38B is a top plan view of the fifth embodiment of the precessional device;
  • Fig. 38C is a bottom perspective view of the fifth embodiment of the precessional device.
  • Fig. 38D is a sectional view of the fifth embodiment taken along line 38-38 of Fig. 38B;
  • Fig. 39 is a perspective fragmentary view of a sixth embodiment of the precessional device illustrating an alternative hand crank assembly
  • Figs. 40A-40B are perspective fragmentary views of a seventh embodiment of the precessional device illustrating an electric starter
  • Fig. 41 is a perspective view of an eighth embodiment of the precessional device featuring flywheels with fins;
  • Fig. 42A is a perspective view of a ninth embodiment of the precessional
  • Fig. 42B is a perspective view of a detachable weight of the ninth embodiment
  • Figs. 43 A-43C are views of the tenth embodiment of the precessional device featuring expandable flywheels;
  • Fig. 44A is a perspective view of an eleventh embodiment of the precessional device illustrating a braking mechanism;
  • Fig. 44B is a fragmentary view of the eleventh embodiment of the precessional device illustrating in detail the braking mechanism
  • Fig. 45 is a twelfth embodiment of the precessional device featuring a monitoring device
  • Fig. 46 discloses a thirteenth embodiment of the precessional device featuring a modified axle tip
  • Figs. 47A-47B disclose a fourteenth embodiment of the precessional device featuring an alternative modified axle tip
  • Fig. 48 illustrates a top plan view of a fifteenth embodiment of the precessional device with detachable handles
  • Fig. 49 A illustrates a top plan view of a sixteenth embodiment of the precessional device mounted on a stand.
  • Fig. 49B illustrates a perspective view of the sixteenth embodiment of the precessional device mounted on a stand.
  • the precessional device 8 shown in Fig. 1 and Fig. 2 is a first embodiment
  • Fig. 2 also shows a removable handcrank 9 which is used to start the
  • Fig. 3 illustrates the precessional device 8 with housings 10 and 12 removed, each housing attaching directly to one of two, identical, stacked track assemblies 14 and 15.
  • the handcrank 9 is inserted into crank pin 13 and is then turned by the
  • first and second rotors 120, 121 are at their operating speed the handcrank 9 may be
  • FIG. 4A shows an exploded isometric view of the precessional device 8. Housings 10 and 12 are attached to track assemblies 14 and 15 through a
  • the two track assemblies 14 and 15 are rigidly locked together, a few
  • a plurality of track supports 16 as shown in Figs. 5 A and 5B.
  • the track assemblies 14, 15 with supports 16 and handle brackets 18 form a support structure for
  • Track assembly 15 includes elements 15a-15e which enclose race or
  • a first laminate 15b is attached to a first track half 15a and a second laminate 15d is attached to a second track half 15e.
  • Reference numeral 15c represents a spacer which divides the first laminate 15b and the second laminate 15d.
  • Fig. 5C illustrates track assembly 15 in detail. Axle tips 23a and 23b of spin axle 23 travel in a circular path between the first and second laminates 15b and 15d.
  • the first track half 15a, the second track half 15e, and the spacer 15c may be made of aluminum.
  • second laminates 15b, 15d may be replaced by using rubber O-rings or other similar
  • first and second track halves 15a, 15e are preferably selected to reduce the possibility that the speed of the spinning axles may cause
  • Axle tips 22a and 22b travel inside a race or channel 17 in track assembly 14 which is composed similarly to track assembly 15.
  • Fig. 4 A illustrates that handle brackets 18 are mounted to track supports 16
  • handle brackets 18 also assist in the support of
  • the handles 20a-20b are mounted to the brackets 18 as shown in Fig. 6 so that they can freely rotate about their lengthwise handle axes.
  • a track assembly 14 provides a first race or channel 17 into which the tips or distal ends 22a and 22b of the axle 22 are supported
  • Axle 22 is a first spin axle which supports a first pair of flywheels 24a and 24b.
  • Figs. 7 A and 7B show the flywheels 24a and 24b mounted on the first axle 22 to form the first rotor 120.
  • Fig. 7C shows a detailed view of flywheel 24a. Flywheels 24a and 24b are
  • FIGs. 3 and 4 A illustrate that track assembly 15 provides the second race or channel 19 into which the tips 23 a and 23b of second axle 23 may be supported when axle 23 is inserted diametrically across track assembly 15.
  • the axle 23 will travel in a rotational pattern within the race 19 around rotational axis A-A in a direction opposite to that of axle 22. The reason for this will be discussed in detail below.
  • Axle 23 is a second spin axle which
  • flywheels 25a and 25b supports a second set of flywheels 25a and 25b to form a second rotor 121.
  • flywheels 24a and 24b are substantially identical to flywheels 24a and 24b and are mounted and balanced in the same manner as flywheels 24a and 24b. Flywheels 25a and 25b may be positioned farther apart on axle 23 than corresponding flywheels 24a and 24b on axle 22. The wider
  • flywheels 24a-24b and 25a-25b are designed to maximize rotational
  • FIG. 4 A further illustrates that axles 22 and 23 are supported by first yoke mount assembly 54 and second yoke mount assembly 56 respectively.
  • Fig. 4B illustrates that both first and second axles 22 and 23 rotate around rotational axis A-A.
  • Axis B-B (first orthogonal axis) and axis C-C (second orthogonal axis) are both orthogonal to the rotational axis A-A and orthogonal to each other.
  • Axes D'-D' and E'-E' are the spin axes for rotors 120 and 121 respectively.
  • Axes D-D and E-E are substantially parallel to each other and to axis C-C.
  • tips 22a and 22b in contact with the laminates inside track assembly 14 e.g., ⁇ may be
  • Axles 22 and 23 are positioned substantially along spin axes D'-D' and E'-E'
  • Angles D'-D' and E'-E' are canted with respect to axes D-D and E-E to
  • axle tips 22a-22b and 23a-23b will be in
  • FIG. 8 illustrates the central column 50 which is substantially aligned with the rotational axis A-A around which rotors 120 and 121 turn.
  • Central column 50 includes
  • the first yoke mount assembly 54 includes the first yoke 54a and a first yoke mount 54b.
  • the second yoke mount assembly 56 includes the second yoke 56a and a second yoke mount 56b.
  • Yokes 54a and 56a are, respectively, supported in first yoke mount 54b and
  • FIGS. 9 and 10A-10B show first yoke assembly 54 and yoke 54a in detail.
  • Screw 54i mounted in screw hole 54j, holds the first yoke 54a in position.
  • the ends of yoke 54a may be preloaded or canted off axis D-D and aligned with D'-D' as previously discussed with respect to Fig. 4B. This, in turn, adjusts the position of the axle tips 22a-22b within race
  • Second yoke 56a and axle tips 23a-23b are adjusted in a similar manner using screws 56d and 56e (as shown in Fig. 16).
  • portion 54f is supported by the bearing 71a located in the bearing mount 70a that is
  • the second yoke mount 56b is
  • Both mounts incorporate a plurality of e-clips 72 to maintain stability.
  • Figs. 11-13B illustrate that the transmission 80 is made up of two drive (or first) gears 82a and 82b that are solidly connected to the first and second yoke mount assemblies 54 and 56 and two idler
  • (or second) gears 84a and 84b that passively transmit torque between the drive gears 82a and 82b.
  • a central hub 86 that fixes the gears 82a-
  • the central hub 86 is connected to the idler gears 84a-84b via e-clips
  • the central hub 86 is connected to the drive gears 82a and 82b via first and second sleeves 90a and 90b.
  • central hub 86 is also connected to first and second wire brace assemblies 92 and 93 as shown in Fig. 4 A. Wire brace assemblies 92 and 93 fix the orientation of the central hub
  • Wire brace assembly 92 includes wire brace 92a and wire brace mount 92b.
  • Wire brace assembly 93 includes wire brace 93 a and wire brace mount 93b. Each of the wire
  • braces 92a, 93 b are solidly fixed to diametrically opposite track supports 16 through wire
  • brace mounts 92b and 93b (as shown in Figs. 3 and 4A) and formed such that they will not
  • FIG. 14 A detailed view of the wire brace assembly 92 is shown in Fig. 14. Fig. 15
  • Reference numeral 86a represents a wire form hole to receive a stabilizing wire brace 92a or 93a; reference numeral 86b represents a gear hub hole to receive a gear hub; and reference numeral 86c represents a sleeve hole to
  • Holes 86a, 86b, and 86c have corresponding holes on the other side of the hub 86 which are not shown.
  • Fig. 11 shows axle crank pin 13 which is attached to the bottom of the
  • second yoke mount assembly 56 which may receive the end of a removable hand crank 9 (as shown in Fig.2).
  • gears 82a-82b and 84a-84b have the same number of teeth (as shown in Figs. 12A-13B) and therefore rotate substantially at the same rate. Due to the direct connections between driven gears 82a and 82b, yoke mounts
  • A-A requires the counter-rotation of the other axle 22 or 23 about the rotational axis A-A.
  • Fig. 16 illustrates the precessional device in a starting position.
  • Fig. 16 is a sectional view along line 16-16 of Fig 1.
  • Fig. 16 further illustrates that by adjusting the
  • the first axle 22 may be positioned so that one tip 22a is pressing in one direction in the track race 17 and one tip 22b is pressing in the opposite direction in the track race 17.
  • the second axle 23 can be positioned so that one tip 23a is pressing in one direction in the track race 19 and one tip 23b is pressing in the opposite direction in the track race 19. Due to surface friction between the tips 22a-22b and 23a-23b of the axles 22 and 23 and the races 17 and 19 rotation of the rotors 120 and 121 about the axis rotational A-A induces spin of the axles 22, 23 about the spin axes D'-D' and E'-E'. This spin includes the flywheels 24a-24b and 25a-25b.
  • the central column 50 allows each axle 22 and 23 to spin
  • A-A of one rotor is mechanically linked to the counter-rotation of the other rotor about the
  • axles 22 and 23 are assembled so that
  • first axle 22 and first flywheels 24a-24b which form the first rotor 120, begin to rotate in the opposite counter-clockwise direction. This causes the first rotor axle 22 to spin axially
  • axle tips 22a and 22b are in frictional contact with race 17.
  • the hand crank 9 causes the rotors 120, 121 to spin faster and faster. (The precessional
  • device 8 might also be designed so that the hand crank 9 initially rotates in the counter clockwise direction).
  • the axial spinning of the flywheels 24a-24b and 25a-25b becomes great enough to cause a detectable precessional effect to occur.
  • Precession is the effect that a spinning mass exhibits when its axis of spin is deflected.
  • the two rotors 120 and 121 represent two spinning masses with axes of spin D'-D' and E'-E'.
  • the law of precession states that if the spin axis of a spinning mass (i.e., flywheels 24a-24b
  • first and second deflecting torques Di and D 2 are provided by the operator initially through the hand crank 9 turning rotors
  • Rotors 120, 121 each are “spinning masses.”
  • Rotors 120, 121 each have two flywheels 24a-24b, 25a-25b mounted at different points on their respective axles to achieve a more compact
  • m a distance r from a spin axis, is mr 2
  • the total rotational inertia of the rotor is mr avg 2 .
  • Precession is explained by one of Newton's Laws of motion which states: the time rate of change of angular momentum about any given axis is equal to the torque applied about the given axis.
  • precession spin axes D'-D' and E'-E' It is about each of the precession spin axes D'-D' and E'-E' that the rotors 120, 121 achieve a spin velocity sufficient enough to precess at a detectable magnitude.
  • the first rotor 120 will have the same inertia about its spin axis as the second rotor 121. Assuming they spin at the same rate, identically applied
  • Figs. 17A-17C show the precessional device 8 in three different exemplary
  • FIG. 17A shows the device 8 being pushed and pulled straight out from the chest and Figs. 17B and 17C show the device 8 being operated at an angle with the same push/pull motion.
  • Fig. 17 A shows the operator holding the precessional device 8 in accordance with a typical method of operation. In this method of operation, the operator
  • the precessional device 8 is used with the operator pushing out with one hand against a variable precessional force and pulling
  • NP R will be used to indicate the net precessional force the operator
  • NP will be used to indicate the net precessional force the operator feels acting on his left hand as he grasps handle 20b.
  • Total precessional torque (TPT) will be used to indicate substantially the net precessional torque acting on the device 8 during operation due to the rotors 120 and 121).
  • the first operating position as shown in Fig. 18A, has the operator's right arm R holding the handle 20a near the operator's body in a fully contracted position and the operator's left arm L holding the handle 20b in a fully extended position. As shown in
  • the magnitude of the total precessional torque (TPT) produced by the device is determined by the rate of axial rotation of axes 22 and 23 in races 17 and 19.
  • the direction of the total precessional torque (TPT) is determined by the orientation of a deflecting torque relative to the direction of the spinning masses, flywheels 24a-25b.
  • deflecting torques Di and D 2 are initially discussed.
  • Fig. 18C indicates the starting point of axle tip 22a and will be used as a comparison point to locate the position of axle tip 22a as it travels around race
  • axles 22 and 23 located in any orientation around the races 17 and 19). At point SP, axles 22 and 23 located in any orientation around the races 17 and 19). At point SP, axles 22 and 23 located in any orientation around the races 17 and 19). At point SP, axles 22 and 23 located in any orientation around the races 17 and 19). At point SP, axles 22 and 23 located in any orientation around the races 17 and 19). At point SP, axles 22 and 23 located in any orientation around the races 17 and 19). At point SP, axle
  • tip 22a is at 0 degrees from the starting point.
  • S indicates the direction of spin of each of the flywheels 24a-24b and 25a-25b.
  • the operator In the first operating position as shown in Fig. 18 A, the operator is about to begin extending the right hand and pulling or contracting with the left hand.
  • Figs. 19A-19C illustrate the second operating position with axle tip 22a at 45 degrees from the starting point SP.
  • Fig. 19A shows the operator's right arm R pushing
  • NP R is equal to the sum of P22b and
  • FIG. 19A also shows the operator's left hand L pulling against NP L (net precessional force on left handle) with force F L and also a quarter of the way through a stroke.
  • NP L is equal to the sum of P23a and P23b.
  • Figs. 20A-20C illustrate the third operating position with axle tip 22a at 90
  • Fig. 20A shows the operator's right and left arms R, L at positions halfway through the stroke traveling in opposite directions.
  • NP R is at its maximum because P22b and P23a are adding with substantially no cancellation effects and
  • NP L is also at its maximum because P22a and P23b are also substantially adding with no cancellation effects. Therefore, the operator is feeling maximum net precessional forces NP R and NP L against him in each arm at this operating position.
  • Figs 21 A-21C illustrate the fourth operating position with axle tip 22a at
  • NP R is the sum of
  • P22b and P23a and NP L is the sum of P22a and P23b.
  • NP R and NP L have both weakened since the third operating position.
  • Figs. 22A-22C illustrate the fifth operating position with axle tip 22a at 180 degrees from the starting point SP. In this position, the right hand R is fully extended and
  • NP R and NP L are both substantially identical
  • Figs 23 A-23C illustrate the sixth operating position with axle tip 22a at 225
  • NP R is equal to P22a summed with P23b and NPL is equal to P22b
  • Fig. 24A-24C illustrate the seventh operating position with axle tip 22a at 270 degrees from the starting point SP.
  • the right arm R is pulling against maximum precessional force NP R of force F R and the left arm L is pushing against
  • NP L is equal to P22b summed with P23b and NP L is equal to P22a summed with P23a.
  • Figs. 25 A-25C illustrate the eighth operating position with axle tip 22a at 315 degrees from the starting point SP. In this position, the right arm R is pulling against a
  • NP R is equal to P22b summed with P23b
  • NPL is equal to P22a summed with P23a.
  • Figs. 26A-26c illustrate the ninth and final operating position with the axle
  • Fig. 27 A illustrates a conceptual drawing of the three-dimensional space bounded by the device 8.
  • the space is primarily defined by three axes A-A, B-B and C-C.
  • the origin of the space is fixed as the central point of the transmission 86.
  • Fig. 27A shows a top plan view of the first rotor 120 as it transitions between the first and second operating positions (corresponding to Figs. 18A-19C) and the rotation of axis D'-D' in relation to axes B-B and C-C.
  • Fig. 27C shows a top plan view of the second rotor 121 as it transitions between the first and second operating position and the rotation of axis E'-E' in relation to axes B-B and C-C (with first rotor 120 not shown).
  • Fig. 27D shows a graph illustrating the precessional torques about the B-B
  • T B axis due to axle 22 (D') and axle 23 (E') plotted over time (t).
  • the graph shows three complete cycles or revolutions of the axles 22 and 23 about axis A-A.
  • each delineated top portion of the wave where T B >0 represent the rotor 120 as it transitions from operating position 1 to 5 and the bottom portions of the wave where T B ⁇ 0
  • Fig. 27E shows a graph illustrating the net torques produced about axis B-
  • T B The sum of the torques produced by axles 22 and 23 is the total precessional torque (TPT).
  • TPT total precessional torque
  • This torque will be deflecting torque D 3 , and it opposes the total precessional torque TPT.
  • deflecting torques D 1 and D 2 deflect rotors 120 and
  • D 3 deflects both rotors 120 and 121.
  • D 3 causes rotor 120 to produce a precessional torque that is aligned with Dj and causes rotor 121 to produce a precessional
  • Fig. 27F shows a graph illustrating the precessional torques about the C-C axis (Tc) due to axle 22 (D') and axle 23 (E') plotted over time (t).
  • the torques due to axles 22 and 23 cancel each other as shown by the total precessional torque about the C-C axis (TPT) in Fig. 27G.
  • TPT and D 3 are substantially zero about the C axis as shown by the flat line graphs.
  • Figs. 27E and 27G demonstrate that the input and output torques (D 3
  • Figs. 27D and 27F show the torque from each rotor 120 and 121 varying about both axes
  • TPT total precessional torque
  • precessional device 8 allows the operator to obtain a controlled, variable
  • Figs. 27H-27J disclose a method of operation of the first embodiment.
  • the operator turns the hand crank 9 in a first step 150. Simultaneously in steps 152 and 154
  • deflecting torques DI and D2 are created by the turning of the hand crank 9.
  • steps 156, 158 deflecting torques DI and D2 drive rotors 120, 121 around rotational axis A-A.
  • steps 160, 162 axle tips 22a-22b and 23a-23b are frictionally driven by coming into contact
  • axle tips 22a, 22b, 23a and 23b press against
  • step 174 the operator grasps precessional device 8 by handles 20a and 20b.
  • step 180 the operator perceives precessional forces P22a, P22b, P23a and P23b as varying net precessional forces NP L and NP R at handles 20a and 20b.
  • step 182 the operator exerts forces F R and F L against net precessional forces NP R and NP L -
  • the forces F R and F L applied by the operator are compared to the net
  • precessional forces NP R and NP L are greater than the operator's applied forces F R and F L , the rotors 120 and 121 decrease (step 186) and the operator will have to input greater force to maintain the intensity of the exercise routine.
  • Third deflecting torque D 3 is applied by the operator on rotors 120 and 121 (step 186)
  • Rotor 120 will generate a precessional equivalent to Di and rotor 121 will generate
  • Fig. 28 shows a second embodiment of the precessional device 8 shown in
  • the precessional device 8 is adjusted so that an exercise involving a curling motion with the arms can be performed.
  • the total precessional torque (TPT) oscillated or varied about axis B-B in the first embodiment the total precessional torque (TPT) oscillates about axis C-C in the second embodiment.
  • the adjustment is made by adjusting the screws 56d and 56e as shown in Fig. 28 so that axle 23 tilts opposite to the direction of the first method of operation as shown in Fig. 16.
  • Fig. 29 discloses an operator using the precessional device 8 to perform a curling exercise.
  • the device 8 will function similarly to the first method of operation
  • Figs. 30A-30C show the device 8 in a first location or starting position.
  • the device is at a momentary state of equilibrium and the operator is about to begin the stroke upwards.
  • Figs. 31 A-3 IC show the device in a second location and the operator has completed a quarter of a stroke.
  • Figs. 32A-32C show the device in a third location and the operator has completed half of a stroke.
  • Figs. 33 A-33C show the device in a fourth location and the operator has completed three quarters of a full stroke.
  • Figs. 34A-34C show the device in a fifth location and the operator has completed a full stroke and half of a cycle. To complete a full cycle the operator will return the device 8 to the starting position.
  • Fig. 35A shows a top plan view of the first rotor 120 as it transitions
  • Fig. 35B shows a top plan view of the second rotor 121 and axis E'-E' as they
  • Fig. 35C shows the torques about axis B-B due to axle 22 (D') and axle 23 (E') canceling each other out.
  • the sum of the torques due to axle 22 and axle 23 is shown by total precessional torque (TPT) in Fig. 35D, and the torque generated by the operator along axis B-B is identified as D 3 as before.
  • Fig. 35E illustrates the torques of the axles 22 and 23 about the C axis. As can be seen from the graph, the torques due to axle 22 (D') and that
  • Fig. 35F shows the total precessional torque TPT
  • Figs. 35C-35F illustrate that TPT and D 3
  • Fig. 36 illustrates a perspective view of a third embodiment of the precessional device which is labeled 200.
  • the precessional device 200 features an alternative method of configuring the ' tracks.
  • the third embodiment 200 uses two tracks vertically aligned about a central rotational axis, the third embodiment 200 discloses two tracks that are concentric and coplanar to obtain a more compact device. However, the third embodiment operates based on the same principles as the first and second embodiments. The third embodiment also employs a pair of handles, a start-up mechanism and enclosure (not shown) similar to the first and second embodiments.
  • Fig. 36 discloses an outer track assembly 215 including a race 217 in which axles 222a and 222b rotate.
  • the opposite end of axle 222a is mounted in bearings 232.
  • the opposite end of axle 222b is also mounted in bearings (not shown).
  • Mounted on axles 222a and 222b are outer flywheels 225a and 225b.
  • Flywheel 225a is mounted on the first outer axle 222a and flywheel 225b is mounted on the second outer axle 222b.
  • Located on inner axle 223 are inner flywheels 224a and 224b.
  • Inner axle 223 travels inside race 219 in track assembly 214.
  • Support arm 230 provides structural stability to outer axes 222a and 222b.
  • Support arm 230 is attached to a central transmission 235 which allows the first rotor 240 to rotate in a counter-clockwise direction and the second rotor 242 to rotate in a clockwise direction.
  • Bearings 237 connect the transmission to 235 batteries 233.
  • Batteries 233 provide an alternative method of starting the device besides using a handcrank.
  • wire brace assemblies used to support the transmission 235 and a supporting device for track assembly 214 are not shown. Due to the different diameter of the outer and inner track assemblies 214 and 215, the diameter of the outer and inner axles must vary in the same proportion so that the inner and outer flywheels 224a, 224b and 225a, 225b spin at the same rate.
  • the method of operation of the third embodiment will be very similar to that of the first and second embodiments.
  • Figs. 37A-37E disclose a fourth embodiment 300 of the precessional device in which the track assemblies 314 and 315 are non-concentric and coplanar. Attached to the precessional devices are handles 320. In the center of the track assembly 314 is rotor
  • Rotor 324 spins on axle 322. Rotor tips 322a and 322b are frictionally driven inside
  • race 360 ' Axle 322 is attached to bearings 334c and 335c which turn inside support assemblies 334 and 335, respectively.
  • Support assembly 334 is attached to plate portion 330a of a first circular gear 330 through attachment pieces 334a and 334b.
  • Support assembly 335 is attached to plate portion 330b of the first circular gear 330 through attachment pieces 335a and 335b.
  • In the center of track assembly 315 is rotor 325. Rotor
  • Axle 323 is attached to bearings 336c and 337c which turn inside support assemblies 336 and 337, respectively.
  • the fourth embodiment 300 operates on the same principles as the first and second embodiments.
  • a hand crank as shown in Fig. 37C is inserted into pin hole 340 in Fig. 37A and is used to start the second circular gear 332 turning.
  • Second gear 332 in turn
  • first circular gear 330 causes first circular gear 330 to rotate.
  • the axle tips 322a, 322b, 323a, and 323b are frictionally driven by coming into contact with the races 360 and 361.
  • rotors 324 and 325 begin turning.
  • the total precessional torque produced by the rotors 224 and 225 will then buildup a variable resistance.
  • the method of operation of the fourth embodiment will be similar to that of the first and second
  • Figs. 38A-38D disclose a fifth embodiment 900 which features an
  • the fifth embodiment will also operate on the same principles as the first and second embodiments.
  • the fifth embodiment will also operate on the same principles as the first and second embodiments.
  • 900 includes a first rotor 926 made up of a single flywheel 924 mounted on an axis 922 and a second rotor 927 made up of a pair of flywheels 925a and 925b mounted on axis
  • Single flywheel 924 has the equivalent mass of both flywheels 925 a and 925b together.
  • rotational axis AA-AA is controlled by first and second perimeter transmissions 921a and 921b driven between first and second track assemblies 918 and 919 respectively.
  • first and second perimeter transmissions 921a and 921b are started by a hand crank (not shown). As they rotate in track assemblies 918 and 919, axle tips 922a and 922b are frictionally driven within race 930. As axis 922 is turned, flywheel 924 turns. The first and
  • second perimeter transmissions also cause axis tips 923a and 923b to be frictionally driven within race 932.
  • flywheels 925a and 925b are also turned.
  • the axis tips 923 a and 923b are canted using a plurality of screws 954 to set the direction of
  • the operator grasps the handle assemblies 920 and opposes the net precessional torque created by the rotors 926 and 927 to perform a variable resistance workout.
  • Fig. 39 discloses a sixth embodiment which is similar to the first
  • crank assembly 400 shows a crank pin 420 that is connected to a bearing 422 which turns a first crank gear 426.
  • First crank gear 426 interacts with second crank gear 428 which turns third crank gear 432.
  • Third crank gear 432 turns a fourth crank gear 434 which turns the transmission 86 (not shown) of the first embodiment.
  • Hand crank assembly 400 allows for a lesser degree of force to be used by the operator when starting up the precessional device.
  • Figs. 40A-40B disclose a seventh embodiment which features another
  • the seventh embodiment means of starting the rotation of the rotors of the precessional device 8 of the first embodiment.
  • the first embodiment uses a hand crank
  • the seventh embodiment uses a hand crank
  • 500 illustrates an electric motor driving the transmission 86 (not shown) of the first
  • a motor 510 turns a first gear 514 which turns a second gear 518.
  • third gear 520 is turned by the second gear 518.
  • the motor 510 driven by rechargeable batteries 513 and 514, is activated when the operator presses a button (not shown). Also, when the user is operating the device, the motor can act as an electric generator by converting a portion of the kinetic energy of the system into electricity to recharge the batteries.
  • Fig. 41 discloses an eighth embodiment which shows a flywheel 700 with fins 712.
  • the fins 712 will allow increased air flow in the precessional device 8 to provide cooling and reduce the possibility of damage to the device from being operated at too high a rate.
  • Figs. 42A-42B show a ninth embodiment featuring a flywheel 800 which
  • the flywheel 800 has removable weights 810 mounted on shafts 812 through shaft holes 813 located inside the rim 814 of the flywheel.
  • the flywheel 800 has weights that are removable so that sets of flywheels with different radii or different masses can be used in the same device.
  • Figs. 43A-43C disclose a tenth embodiment 1000 which features alternative flywheels lOOla-lOOlb and 1002a-1002b that automatically increase their rotational inertia as the rotational velocity increases through an expanding radii.
  • Fig. 43 A discloses axes
  • Fig. 43B shows the alternative flywheels 100 la- 100 lb and 1002a-1002b in the expanded position.
  • Fig. 43C shows the components of the alternative
  • flywheel 1001a Surrounding axis 1004 is a spring 1010 which provides a compression force pushing flanges 1011 and 1012 apart. Connected to flange 1011 are pins 1016 and 1020 which connect to portions 1011a and 101 lb of flange 1011. Similarly connected to
  • flange 1012 are pins 1014 and 1018 which are connected to portions 1012a and 1012b of flange 1012. Connecting pins 1014 and 1016 is weighted button 1023 and connecting pins 1018 and 1020 is weighted button 1022.
  • a starting configuration is shown in Fig. 43A with the flywheels lOOla-lOOlb and 1002a-1002b in their contracted position. As the speed of the spinning axis 1004 picks up, the flywheel 1001a expands to the fully expanded positions as shown in Fig. 43B. As the buttons 1022 and 1023 spin faster, they exert a centrifugal force radially outward, which forces flanges 1011, 1012 together, thereby
  • spring 1010 can be tailored to effect flywheel 1001a with the desired dynamic rotational inertia.
  • the tenth embodiment offers the operator an automatic mechanism for adjusting
  • the rotational inertia of the rotors providing at least three benefits: 1) at startup the rotors' rotational inertia is minimized to facilitate startup, 2) at high operational speeds, the rotors'
  • Figs. 44A-44B illustrate an eleventh embodiment which modifies the first embodiment by incorporating a braking mechanism 1060 that stops the rotation of the
  • flywheels 25a and 25b when the user wishes to discontinue using the device.
  • braking mechanism 1060 When the device is lifted off a surface, braking mechanism 1060 will rest on the floor of the lower housing 12. Extension springs 1062 will act on the braking mechanism 1060 to force prongs 1061 through housing holes 1063.
  • the device 8 When the device 8 is placed on the surface, the
  • Fig 45 illustrates a twelfth embodiment of the precessional device
  • the monitoring equipment 1100 includes an LCD display 1110 powered by a battery (not shown).
  • the monitoring equipment 1100 is electrically connected through wire 1114 to sensor 1116.
  • Information displayed may mclude, for
  • Fig. 46 discloses a thirteenth embodiment which features an alternative
  • axle tip 1200 of axis 22 and track race 17 The axle tip 1200 is coated with a material such as polyurethane, rubber or other synthetic or metallic material.
  • Figs. 47A-47B disclose a fourteenth embodiment which features axle tip
  • axle tip 1300a of axle 22 capped by a beveled gear and a track 1300b comprised of a beveled surface that allows for positive rolling contact between the axle tip 1300a and track 1300b
  • axle tip will travel ideally between two tracks 1300b and 1300c.
  • Fig. 48 discloses a fifteenth embodiment 1400 which features handles 1410a
  • handles 1410a and 1410b that are removable.
  • the handles 1410a and 1410b may be removed to adjust for different grip positions with different angles and widths to work different muscle groups.
  • Removable or adjustable handles offer the operator a greater range of choices for exercising. By adjusting the handles 90 degrees each as shown, the operator effectively adjusts the device from the first embodiment to the second embodiment or from the second
  • Removable handles also facilitates storage and portability.
  • Figs. 49A-49B disclose a sixteenth embodiment 1700 featuring pedal
  • attachments 1720a and 1720b attached to housing 1710 containing the rotors (not shown).
  • the housing 1710 is mounted on a stand 1730.
  • the precessional device embodiments herein disclosed are able to produce tremendous forces, limited only by the practical limits to the speed of the rotors, all in a small, lightweight package. This allows the precessional devices to be compact to facilitate storage, portability and use.
  • precessional devices they may be designed to be hand held. This allows
  • precessional device to be used in a variety of methods, and allows the operator to switch from one method to another quickly and easily.
  • precessional devices they allow the operator to have complete control over the speed, and resulting level of variable resistance, of the exercise.
  • the intensity of the workout is directly linked to the

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  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Biophysics (AREA)
  • Orthopedic Medicine & Surgery (AREA)
  • General Health & Medical Sciences (AREA)
  • Physical Education & Sports Medicine (AREA)
  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Connection Of Motors, Electrical Generators, Mechanical Devices, And The Like (AREA)

Abstract

L'invention concerne un dispositif de précession (8) comprenant des boîtiers (10) et (12) comportant une paire d'arbres présentant chacun au moins un volant formant une paire de rotors. Les arbres sont montés sur des pistes circulaires dans lesquelles ils sont mis en rotation et génèrent un couple de précession procurant une résistance variable le long d'un premier axe et un équilibrage du couple de précession le long d'un second axe.
PCT/US2001/003083 2001-01-31 2001-01-31 Dispositif de precession et procede correspondant WO2002061372A1 (fr)

Priority Applications (1)

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PCT/US2001/003083 WO2002061372A1 (fr) 2001-01-31 2001-01-31 Dispositif de precession et procede correspondant

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2005042107A2 (fr) 2003-10-24 2005-05-12 Dworzan William S Dispositif d'exercice gyroscopique manuel
JP2015135328A (ja) * 2014-01-17 2015-07-27 本田技研工業株式会社 ウェアラブルなシザーペア型人体バランス補助用コントロールモーメントジャイロスコープ(sp−cmg)
CN114522391A (zh) * 2021-12-21 2022-05-24 程悦 一种基于机械虹膜原理的新型腕力球
US20220331645A1 (en) * 2021-04-14 2022-10-20 John Hubble Exercise device incorporating gyroscopic initiated dynamic resistance

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US3439548A (en) * 1966-01-28 1969-04-22 Tibor Horvath Torque generator
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US4472978A (en) * 1981-05-29 1984-09-25 Sperry Corporation Stabilized gyrocompass
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US5150625A (en) * 1991-01-07 1992-09-29 Mishler Frederick H Gyroscopic device
US5243868A (en) * 1991-05-09 1993-09-14 Abram Schonberger Continuously and infinitely variable mechanical power transmission
US5800311A (en) * 1997-07-25 1998-09-01 Chuang; P. S. Wrist exerciser
US5871249A (en) * 1996-11-12 1999-02-16 Williams; John H. Stable positioning system for suspended loads
US6053846A (en) * 1999-07-28 2000-04-25 Lin; Chien-Der Wrist exerciser

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Publication number Priority date Publication date Assignee Title
US1250266A (en) * 1917-12-18 William A Banks Toy.
US1058786A (en) * 1912-05-18 1913-04-15 Burt L Newkirk Gyroscopic exercising device.
US1175372A (en) * 1915-10-13 1916-03-14 Leslie A Newcomb Toy.
US3141669A (en) * 1963-04-26 1964-07-21 Chul Yun Hoop device
US3439548A (en) * 1966-01-28 1969-04-22 Tibor Horvath Torque generator
US3451275A (en) * 1966-06-17 1969-06-24 Elliott Brothers London Ltd Self-monitored gyro-system
US4110631A (en) * 1974-07-17 1978-08-29 Wind Power Systems, Inc. Wind-driven generator
US4472978A (en) * 1981-05-29 1984-09-25 Sperry Corporation Stabilized gyrocompass
US5090260A (en) * 1989-08-09 1992-02-25 Delroy Mortimer S Gyrostat propulsion system
US5150625A (en) * 1991-01-07 1992-09-29 Mishler Frederick H Gyroscopic device
US5243868A (en) * 1991-05-09 1993-09-14 Abram Schonberger Continuously and infinitely variable mechanical power transmission
US5871249A (en) * 1996-11-12 1999-02-16 Williams; John H. Stable positioning system for suspended loads
US5800311A (en) * 1997-07-25 1998-09-01 Chuang; P. S. Wrist exerciser
US6053846A (en) * 1999-07-28 2000-04-25 Lin; Chien-Der Wrist exerciser

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2005042107A2 (fr) 2003-10-24 2005-05-12 Dworzan William S Dispositif d'exercice gyroscopique manuel
EP1677876A2 (fr) * 2003-10-24 2006-07-12 DWORZAN, William S. Dispositif d'exercice gyroscopique manuel
EP1677876A4 (fr) * 2003-10-24 2008-04-23 William S Dworzan Dispositif d'exercice gyroscopique manuel
JP2015135328A (ja) * 2014-01-17 2015-07-27 本田技研工業株式会社 ウェアラブルなシザーペア型人体バランス補助用コントロールモーメントジャイロスコープ(sp−cmg)
US20220331645A1 (en) * 2021-04-14 2022-10-20 John Hubble Exercise device incorporating gyroscopic initiated dynamic resistance
US11872438B2 (en) * 2021-04-14 2024-01-16 John Hubble Exercise device incorporating gyroscopic initiated dynamic resistance
CN114522391A (zh) * 2021-12-21 2022-05-24 程悦 一种基于机械虹膜原理的新型腕力球

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