Control of earthquake excited nonlinear structures using Lyapunov’s theory. (English) Zbl 0922.73044

Irschik, Hans; Schlacher, Kurt; Kugi, Andreas

Comput. Struct. 67, No. 1-3, 83-90 (1998).

Summary: The present contribution is concerned with the hybrid control of earthquake excited high-raised buildings. The building is modelled as a shear-wall type structure with nonlinear hysteretic restoring forces. A passive base-isolation is combined with actuators applied at the basement of the structure. We design a nonlinear control law following the Lyapunov theory. The proof of stability of this system with an infinite set of equilibrium positions is obtained by means of Lyapunov’s theory and by the invariance principle of LaSalle. The efficiency of the proposed control algorithm is demonstrated by computer simulations.

MSC:

74M05	Control, switches and devices (“smart materials”) in solid mechanics
86A15	Seismology (including tsunami modeling), earthquakes

Keywords:

shear-wall type structure; nonlinear hysteretic restoring forces; passive base-isolation; nonlinear control law; stability; infinite set of equilibrium positions; invariance principle of LaSalle