Transient Response Optimization of Vibrating Structures by Liapunov's Second Method.

摘要

Liapunov's second method is applied to minimize an integrated square performance measure for damped vibrating structures subjected to initial excitation. The method reduces the calculation of the performance measure and its derivatives with respect to design parameters to the solution of a set of linear algebraic equations. The computational effectiveness of the method is illustrated by applying it to the classical vibration absorber and to a cantilever beam carrying an absorber at its midpoint.