OPTIMAL CONTROL OF FRAMED STRUCTURES INCLUDING SEISMIC SOIL-STRUCTURE INTERACTION EFFECTS

Abstract eng:
In this work, a linear quadratic Gaussian (LQG) controller is constructed to optimally control seismic response of framed structures founded on soils. An approximate frequency-independent lumped-parameter model is used to represent the response of the foundation. This allows a full representation of the system equations, including the interaction between soil and the structure (SSI effects), in the time domain. The optimal control gain is interrelated to the SSI factors. To demonstrate the significance of the detailed modeling of the framed structure, a simplified one-column model including SSI effects is set up for comparison with the response of the full planar frame founded on soil. Simulation results show that, at least in some circumstances, simplification of the structure into a 1D model by neglecting its 2D nature may lead to missing important characteristics of the structure. While the soil foundation is very soft, the controller incorporated the SSI effects shows a better performance. For much stiffer soil conditions, the LQG controller works very effectively, designed either with the fixed-base model or the SSI model.

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