Abstract
A procedure is developed for optimal design of passive controlled viscous damped structures with viscous damping systems (VDS). These systems, installed at each story of the building are used to improve the response of the structure during earthquakes. Optimal control theory is used to obtain the properties of the devices. Optimization leads to different level of damping at each story. This chapter proposes a method that enables the use of standard devices that are available off-the-shelf. Numerical analysis of a seven-story shear framed structure is represented as an example. A numerical simulation of a seven-story structure shows that its performance with VDS including standard dampers is close to the optimal design. Reductions of up to 50% of the peak displacements and of the base shear forces are obtained and the accelerations are reduced up to 60%. These results show a promising method of using off-the-shelf viscous dampers in VDS. Thus, the damping at each floor is controlled and provides an improved behavior of the structure during an earthquake. Significant improvement is obtained in the behavior of the controlled structure compared to the uncontrolled one.
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