ABSTRACT

A rotating structure usually consists of many particles, and the assembly of the equations of motions for all particles results in the equilibrium of the complete mechanical system. In the case of a structure with many (for example, n) particles, each will have generalized coordinates gi containing the nodal translational u v w( , , )i i i and rotational ψ θ( , , )i i i displacements:

= =

ψ θ

g

g

g

g

g

g

u v w

{ } ...