Transmission mechanism and lock

A transmission mechanism applied to a lock and for controlling the lock to switch between an unlocked state and a locked state, the lock defining a rotating axis and for being installed on a door, the door comprising a first side and a second side opposite to the first side, the lock comprising a first handle set and a second handle set, the first handle set being disposed on the first side of the door, the second handle set being disposed on the second side of the door, the first handle set comprising a first cover plate fixedly disposed on the first side of the door, the first cover plate comprising a first fitting portion, the transmission mechanism comprises:

• a transmission element connected to the first handle set in a manner that the transmission element is incapable of moving along the rotating axis, the transmission element having an abutting portion;
• a moving component disposed on the transmission element in a manner that the moving component is capable of moving along the rotating axis, the moving component comprising:
• a first engaging groove formed on a side of the moving component;
• a second engaging groove formed on the side of the moving component;
• a second fitting portion configured for corresponding to the first fitting portion;
• and
• a first engaging part;
• a transmission cam comprising a second engaging part corresponding to the first engaging part;
• and
• a tubular connecting element having a first end and a second end opposite to the first end, the first end of the tubular connecting element being connected to the transmission cam in a manner that the first end of the tubular connecting element and the transmission cam are capable of moving synchronously, the second end of the tubular connecting element being connected to a second handle of the second handle set in a manner that the second end of the tubular connecting element and the second handle are capable of moving synchronously;
• wherein when the transmission element is operated to rotate, the abutting portion is capable of switching between the first engaging groove and the second engaging groove;
• wherein when the abutting portion is located in the first engaging groove, the second fitting portion is configured to be separated from the first fitting portion, such that the lock is in the unlocked state, and the first engaging part is engaged with the second engaging part, such that a first handle of the first handle set is capable of driving the transmission cam to rotate;
• wherein when the abutting portion is located in the second engaging groove, the second fitting portion is configured to be fitted into the first fitting portion, such that the lock is in the locked state, and the first engaging part is separated from the second engaging part, such that the first handle of the first handle set is incapable of driving the transmission cam to rotate.