ORTHOGONALITY CONDITIONS FOR ACTIVE PLATE
主动板的正交性条件

The adjoint structure of the active structure is denned, the reciprocity theorem, which is derived from the basic equations of the discrete active structure, is extended from the discrete active structures to the continuous active structures. The active plate with distributed sensor and actuator is studied. The control equation and the measurement equation are presented by using the functions locating actuation and measurement, respectively, and the orthogonality conditions are derived with the modal shapes of the active plate and its adjoint active plate. As a numerical example a rectangular plate is evaluated to give the notes about modes and orthogonality conditions of the active plate. The orthogonality conditions can be used to decouple the motion differential equations of the active plate.