Abstract:

From the differential equation of a structural dynamic system, the mathematical model of active control is established, then based on the analogies between computational structural mechanics and optimal control, the substructural condensation method and mixed energy concept in structural mechanics are used, further a set of time interval condensation formulas are obtained, finally Riccati equation can be solved effectively. With the help of the above solution, a kind of method for the active control of flexible mechanisms is given.

Key words: flexible mechanisms, Riccati equation, substructural condensation method