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Optimum Seismic Structural Design with Tendon and Mass Damper Controls and Random Process

by F. Y. Cheng, Univ of Missouri-Rolla, MO, USA,
C. P. Pantelides, Univ of Missouri-Rolla, MO, USA,



Document Type: Proceeding Paper

Part of: Recent Developments in Structural Optimization

Abstract:

This paper describes the optimization of structural weight for seismic structures implemented by active control systems. The instantaneous open-loop optimal control algorithm is used for both active mass damper and active tendon systems. Although the control forces obtained by minimizing a time-varying performance index using suitable weighting matrices are optimal, the structural response can not be reduced further, unless large control forces are used. It is shown that structural optimization can reduce the response even further while constraining the control forces to be within allowable limits. Using the approach one may effectively resize the constituent members of a structure having the active control systems. Numerical examples demonstrate the effectiveness of both control systems in reducing the response of the optimally designed structures.

Subject Headings: Control systems | Structural control | Structural analysis | Structural design | Seismic design | Tendons | Seismic tests

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