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## Internal Differential Drives

DIFFERENTIAL GEAR TRAINS MAKE POSSIBLE THE GREATEST SPEED REDUCTION IN THE MINIMUM SPACE. THEY ARE OF GREAT VALUE WHERE A LARGE REDUCTION OF MOTION IS REQUIRED, BUT THEY ARE SELDOM PRACTICAL WHEN ANY APPRECIABLE AMOUNT OF POWER IS TO BE TRANSMITTED BECAUSE OF THE EXCESSIVELY HIGH TOOTH LOADS AND HIGH VELOCITIES OF TOOTH ENGAGEMNT WHICH RESULT FROM THIS CONSTRUCTION.

WHEN,

N 1 = NUMBER OF TEETH IN FIXED INTERNAL GEAR

N 2 = NUMBER OF TEETH IN DRIVEN INTERNAL GEAR

N 3 = NUMBER OF TEETH IN PINION MESHING WITH N 1

N 4 = NUMBER OF TEETH IN PINION MESHING WITH N 2

n = NUMBER OF REVOLUTIONS PER MINUTE OF DRIVING SHAFT

n' = NUMBER OF REVOLUTIONS PER MINUTE OF DRIVEN SHAFT

WHEN THE VALUE OF THE REDUCTION RATIO IS PLUS THE DRIVEN MEMBER WILL TURN IN THE SAME DIRECTION AS THE DRIVING MEMBER. WHEN THE VALUE IS MINUS, THE DRIVEN MEMBER WILL TURN IN THE OPPOSITE DIRECTION TO THE DRIVING MEMBER.

WHEN,

A = RADIUS OF ARM OR ECCENTRICTY OF STUD CARRYING PINIONS, INCHES.

V = VELOCITY OF CENTER OF PINIONS, FT. PER. MIN.

V 1 = PITCH LINE VELOCITY OF TOOTH ENGAGEMENT ON FIXED INTERNAL GEAR (N 1), FT. PER MIN.

V 2 = PITCH LINE VELOCITY OF TOOTH ENGAGEMENT ON DRIVEN INTERNAL GEAR(N 2) FT. PER MIN.

 WHEN, T = DRIVING TORQUE IN INCH POUNDS. HP = NUMBER OF HORSEPOWER, TRANSMITTED LOAD.

##### Products & Services
Gears

Gears are rotating mechanical devices employing 'teeth' in order to transmit torque between separate axes. Two or more cooperating gears are called a transmission and can produce a mechanical advantage by changing speed, torque or rotation direction.

Spur Gears

Spur gears are the simplest type of gear. Transmitting power between parallel axes, the teeth project radially on the disc.

Rack and Pinion Drives
Rack and pinion drives use a rotational motor to affect linear motion via a rack and pinion combination. They are used frequently in long-travel applications, such as machine tool table positioning, that require high stiffness and accuracy.
Worms and Worm Gears

Worms and worm gears are gear sets that offer high gear reduction and torque multiplication with a small footprint. A worm drive is a cylindrical gear with a shallow spiral thread that engages the worm gear in a non-intersecting, perpendicular axes configuration.

Metric Gears
Metric gears are defined by module, which designates the center-to-center distance between successive teeth. This criteria of gear selection is used in countries which have adopted the metric system and is intended to standardize gear selection.

##### Topics of Interest

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11.1 INTRODUCTION A gear drive composed of external and internal gears is considered. Application of such a train enables us to reduce the loss of power caused by sliding of tooth profiles. This...

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