The classical Hamilton's principle and the assumed mode method are used to set up the equations of motion.
The extended Hamilton's principle, the Sanders shell theory and the assumed mode method are used to derive the equations of motion in a state space form that is suitable to design the controller.
For this purpose, distributed finite time controllers (DFCs) based on the terminal sliding mode method are proposed to ensure that states of the agents track the states of the target in a finite time.
The double U-transformation and mode method are employed to analyze the dynamic response of rectangular cable networks which can be considered as cyclic periodic structures in two orthogonal directions after being converted into an equivalent system.
The Lagrangian approach and the assumed mode method are employed to derive the governing equations of motion, with the free vibration mode shapes of a non-rotating cantilever shaft being used as admissible functions.
