TABLE OF CONTENTS 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. | |
