This paper investigates the optimal vibration control of two adjacent shear beam structures coupled with horizontally oriented viscous dampers. A design methodology that is valid for two-degrees of freedom models is extended to account for multi degree of freedom structures. The response of the coupled model due to linearly filtered white noise base motions is calculated and the effectiveness of the proposed methodology is validated by performing a parametric study. The optimal response of the structures with different coupling locations along the height and damping coefficients, are considered.

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