Various adaptive apparatus and systems for automated handling of components such as composite plies are provided. In one embodiment, a ply manipulation system is provided that comprises an automated machine having an arm, and a ply manipulation tool attached to the arm of the automated machine. The ply manipulation tool includes a first shuttle including a first gripper, a second shuttle including a second gripper, and an actuator. The ply manipulation system further comprises a processor that automatically controls the actuator to move the first and second shuttles linearly with respect to one another to adapt the first and second grippers to a ply shape. In another embodiment, the first and second shuttles include one or more clamping elements moveable to a position to be deployed outside a perimeter of the ply. Methods for removing a ply from a sheet of material using a ply manipulation tool also are provided.