Beginning/end of tape detection system

In a tape drive system having a supply reel coupled to a supply reel motion sensor, a capstan coupled to a capstan motor coupled to a capstan motion sensor, and a take-up reel coupled to a take-up reel motion sensor, each of the sensors generating a signal indicative of the angular position of the supply reel, the capstan motor and the take-up reel, a beginning-of-tape/end-of-tape (BOT/EOT) detection system comprising:

• processing means, coupled to the supply reel motion sensor, the capstan motion sensor, and the take-up reel motion sensor, for computing beginning-of-tape and end-of-tape utilizing the varying diameters of the supply reel and its tape pack and the take-up reel and its tape pack, and angular velocities of the supply reel, capstan, and take-up reel, said angular velocities being determined from the angular position signals, wherein for the reverse tape motion direction being from the take-up reel to the supply reel, beginning-of-tape is determined by said processor means utilizing:
• D.sub.t =D.sub.c .times.(V.sub.c /V.sub.t)
• where D.sub.t is the diameter of the take-up reel plus tape pack, D.sub.c is the diameter of the capstan, V.sub.t is the angular velocity of the take-up reel, and V.sub.c is the angular velocity of the capstan, and the beginning-of-tape being determined as the diameter of the take-up reel plus a predetermined tolerance measure of tape pack thickness.

In a tape drive system having a supply reel coupled to a supply reel motion sensor, a capstan coupled to a capstan motor coupled to a capstan motion sensor, and a take-up reel coupled to a take-up reel motion sensor, each of the sensors generating a signal indicative of the angular position of the supply reel, the capstan motor and the take-up reel, a beginning-of-tape/end-of-tape (BOT/EOT) capstan-not-engaged-by-tape detection system comprising:

• processor means, coupled to the supply reel motion sensor, the capstan motion sensor, and the take-up reel motion sensor, for computing beginning-of-tape and end-of-tape utilizing the varying diameters of the supply reel and tape pack D.sub.s and the take-up reel and tape pack D.sub.t and the substantially constant value of D.sub.s.sup.2 plus D.sub.t.sup.2, and angular velocities of the supply reel, capstan, and take-up reel, said angular velocities being determined from the angular position signals, wherein for the forward tape motion direction being from the supply reel to the take-up reel, end-of-tape is determined by said processor means utilizing:
• D.sub.s.sup.2 +D.sub.t.sup.2 =K=D.sub.c.sup.2 V.sub.c.sup.2 [(1/V.sub.s).sup.2 +(1/V.sub.t).sup.2 ]
• where D.sub.s is the diameter of the supply reel plus its tape pack, D.sub.t is the diameter of the take-up reel plus its tape pack, K is a constant, D.sub.c is the diameter of the capstan, V.sub.c is the angular velocity of the supply reel, and V.sub.c is the angular velocity of the capstan, solving for D.sub.s, and the end-of-tape being determined when D.sub.s is less than the diameter of the supply reel plus a predetermined thickness of tape pack.

In a tape drive system having a supply reel coupled to a supply reel motion sensor, a capstan coupled to a capstan motor coupled to a capstan motion sensor, and a take-up reel coupled to a take-up reel motion sensor, each of the sensors generating a signal indicative of the angular position of the supply reel, the capstan motor and the take-up reel, a beginning-of-tape/end-of-tape (BOT/EOT) capstan-not-engaged-by-tape detection system comprising:

• processor means, coupled to the supply reel motion sensor, the capstan motion sensor, and the take-up reel motion sensor, for computing beginning-of-tape and end-of-tape utilizing the varying diameters of the supply reel and tape pack D.sub.s and the take-up reel and tape pack D.sub.t and the substantially constant value of D.sub.s.sup.2 plus D.sub.t.sup.2, and angular velocities of the supply reel, capstan, and take-up reel, said angular velocities being determined from the angular position signals, wherein for the reverse tape motion direction being from the take-up reel to the supply reel, beginning-of-tape is determined by said processor means utilizing:
• D.sub.s.sup.2 +D.sub.t.sup.2 =K=D.sub.c.sup.2 V.sub.c.sup.2 [(1/V.sub.s).sup.2 +(1/V.sub.t).sup.2 ]
• and
• D.sub.s /D.sub.t =V.sub.t /V.sub.s
• where D.sub.s is the diameter of the supply reel plus its tape pack, D.sub.t is the diameter of the take-up reel plus its tape pack, K is a constant, D.sub.c is the diameter of the capstan, V.sub.c is the angular velocity of the supply reel, and V.sub.c is the angular velocity of the capstan, solving for D.sub.t, and the beginning-of-tape being determined when D.sub.t is less than the diameter of the take-up reel plus a predetermined thickness of tape pack.

In a tape drive system having a supply reel coupled to a supply reel motion sensor, a capstan having a capstan diameter D.sub.c and coupled to a capstan motor coupled to a capstan motion sensor, and a take-up reel coupled to a take-up reel motion sensor, each of the sensors generating a signal indicative of the angular position of the supply reel, the capstan motor and the take-up reel, a beginning-of-tape/end-of-tape (BOT/EOT) detection method, comprising the steps of:

• calculating the angular velocity of the supply reel V.sub.s ;
• calculating the angular velocity of the capstan V.sub.c ;
• calculating the diameter of the supply reel plus its tape pack D.sub.s utilizing
• D.sub.s =D.sub.c .times.(V.sub.c /V.sub.s);
• adding a predetermined tolerance measure of tape pack thickness to the tapeless diameter of the supply reel providing an end-of-tape diameter D.sub.EOT ;
• and
• signalling end-of-tape when D.sub.s is less than or equal to D.sub.EOT.

In a tape drive system having a supply reel coupled to a supply reel motion sensor, a capstan having a capstan diameter D.sub.c and coupled to a capstan motor coupled to a capstan motion sensor, and a take-up reel coupled to a take-up reel motion sensor, each of the sensors generating a signal indicative of the angular position of the supply reel, the capstan motor and the take-up reel, a method for determining beginning-of-tape for the reverse tape motion direction being from the take-up reel to the supply reel, comprising the steps of:

• calculating the angular velocity of the take-up reel V.sub.t ;
• calculating the angular velocity of the capstan V.sub.c ;
• calculating the diameter of the take-up reel plus tape pack D.sub.t utilizing
• D.sub.t =D.sub.c .times.(V.sub.c /V.sub.t);
• adding a predetermined tolerance measure of tape pack thickness to the tapeless diameter of the take-up reel providing a beginning-of-tape diameter D.sub.BOT ;
• and
• signalling beginning-of-tape when D.sub.t is less than or equal to D.sub.BOT.

In a tape drive system having a supply reel coupled to a supply reel motion sensor, a capstan having a capstan diameter D.sub.c and coupled to a capstan motor coupled to a capstan motion sensor, and a take-up reel coupled to a take-up reel motion sensor, each of the sensors generating a signal indicative of the angular position of the supply reel, the capstan motor and the take-up reel, a beginning-of-tape/end-of-tape (BOT/EOT) capstan-not-engaged-by-tape detection method for computing end-of-tape comprising the steps of:

• calculating the angular velocity of the supply reel V.sub.s ;
• calculating the angular velocity of the capstan V.sub.c ;
• calculating the angular velocity of the take-up reel V.sub.t ;
• calculating a constant K and solving the following equations
• D.sub.s.sup.2 +D.sub.t.sup.2 =K=D.sub.c.sup.2 V.sub.c.sup.2 [(1/V.sub.s).sup.2 +(1/V.sub.t).sup.2 ]
• and
• D.sub.s /D.sub.t =V.sub.t /V.sub.s
• where D.sub.s is the diameter of the supply reel plus its tape pack, D.sub.t is the diameter of the take-up reel plus its tape pack, K is a constant, and D.sub.c is the diameter of the capstan, for D.sub.s ;
• adding a predetermined tolerance measure of tape pack thickness to the tapeless diameter of the supply reel providing an end-of-tape diameter D.sub.EOT ;
• and
• signalling end-of-tape when D.sub.s is less than or equal to D.sub.EOT.

In a tape drive system having a supply reel coupled to a supply reel motion sensor, a capstan having a capstan diameter D.sub.c and coupled to a capstan motor coupled to a capstan motion sensor, and a take-up reel coupled to a take-up reel motion sensor, each of the sensors generating a signal indicative of the angular position of the supply reel, the capstan motor and the take-up reel, a beginning-of-tape/end-of-tape (BOT/EOT) capstan-not-engaged-by-tape detection method for computing beginning-of-tape comprising the steps of:

• calculating the angular Velocity of the supply reel V.sub.s ;
• calculating the angular velocity of the capstan V.sub.c ;
• calculating the angular velocity of the take-up reel V.sub.t ;
• calculating a constant K and solving the following equations
• D.sub.s.sup.2 +D.sub.t.sup.2 =K=D.sub.c.sup.2 V.sub.c.sup.2 [(1/V.sub.s).sup.2 +(1/V.sub.t).sup.2 ]
• and
• D.sub.s /D.sub.t =V.sub.t /V.sub.s
• where D.sub.s is the diameter of the supply reel plus its tape pack, D.sub.t is the diameter of the take-up reel plus its tape pack, K is a constant, and D.sub.c is the diameter of the capstan, for D.sub.t ;
• adding a predetermined tolerance measure of tape pack thickness to the tapeless diameter of the take-up reel providing a beginning-of-tape diameter D.sub.BOT ;
• and
• signalling beginning-of-tape when D.sub.t is less than or equal to D.sub.BOT.

A beginning-of-tape/end-of-tape detection system comprising:

• a supply reel having supply reel diameter;
• a supply reel encoder, said supply reel encoder generating pulses at a frequency proportional to angular velocity of said supply reel;
• a capstan having capstan diameter, said capstan driven by a capstan motor;
• a capstan encoder, said capstan encoder generating pulses at a frequency proportional to angular velocity of said capstan;
• a take-up reel having take-up reel diameter;
• a take-up reel encoder, said take-up reel encoder generating pulses at a frequency proportional to angular velocity of said take-up reel;
• a processor, said processor in electrical communication with said supply reel encoder, said capstan encoder and said take-up reel encoder, said processor utilizing said pulses generated by said supply reel encoder, said pulses generated by said capstan encoder and said pulses generated by said take-up reel encoder to calculate supply reel speed, capstan speed and take-up reel sped, wherein when tape is driven forward, said processor divides said capstan speed by said supply reel speed and multiplies the product thereof by said capstan diameter in order to determine supply reel plus tape diameter, said processor indicating an end-of-tape when the supply reel plus tape diameter is equal to or less than the supply reel diameter plus a predetermined tolerance measure of tape pack thickness and wherein when said tape is driven backwards, said processor divides said capstan speed by said take-up reel speed and multiplies the product thereof by said capstan diameter in order to determine take-up reel plus tape diameter and indicates a beginning-of-tape when the take-up reel plus tape diameter is equal to or less than the take-up reel diameter plus a predetermined tolerance measure of tape pack thickness.