Optimal Damper Placement for Non-propertionally Damped Building Structures Supported by Ground

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The purpose of this project is to develop a new method optimal added viscous damper placement in non-proportionally damped building structures supported by grounds. The following results have been obtained in this project.1. A new method of optimal added viscous damper placement has been developed for a shear building supported by a ground. The overall model is a with non-proportional damping. The nonlinearity of the ground has been taken into account by an equivalent linear model. The original steepest direction search algorithm has been applied to the complicated model to find the optimal position and capacity of dampers. Several design examples have been obtained for various ground conditions and it has been disclosed that the relation of the fundamental natural period of the building with that of the ground is the key for clarifying the effects of grounds on the effective damper placement.2. To disclose the effect of the supporting member stiffness on the effective damper placement, a Maxwell-type model has been introduced. It has been found that the decrease of the supporting-member stiffness reduces the performance of the dampers. A new method has been developed to include such effects of supporting members.3. A new method of critical excitation has been developed. It has been shown that a robust method of optimal damper placement can be developed by adopting the critical excitation as the input ground motion. Stationary and nonstationary critical excitations have been derived.