USE OF MULTIBOND GRAPHS FOR THE DYNAMICS OF AN ARBITRARY FLEXIBLE BODY IN HIGH-SPEED ROTATION AND TRANSLATION

Conventional bond graph techniques for modelling the dynamics of an ar bitrary flexible body have not considered the dynamic stiffening of th e structures and have restrictions on the body reference frame and ass umed modes. They will fail to predict the dynamic behaviour of a flexi ble body undergoing high-speed rotation and translation in many practi cal situations. A general multibond graph technique for modelling the dynamics of an arbitrary flexible body is presented in this paper. The multibond graph technique developed in this paper has no restriction on the body reference frame and assumed modes, and considers dynamic s tiffening through adopting non-linear strain displacement relations an d keeping the first order terms of the geometric stiffness matrix. Ill ustrative examples are given to demonstrate the validity and the gener ality of this multibond graph.