Analysis of Active Seismic Response for Controlled Structures Using Stochastic Models

Abstract

This paper investigates the seismic response of active controlled structures using a stochastic approach. The study is at a starting point for the author’s direction of research and it is intended to focus on principles and methodologies for simple structures and simple control strategies. The research is envisioning validating stochastic domain strategies for controlled structures that have been already validated in time and frequency domains.
In a relative recent past the author has been studied structural active control. Especially energy base optimal active control was used as the strategy of control. This strategy was used for large structures (bridges and buildings). Variants for full state and reduced order controllers were tested. Other variants were used for taking into account the noise and time lag. Overlapping and disjoint distributed controllers have been in the views, too. Time-history and frequency analysis were done. For showing the validity of the methodology, internationally proposed benchmark structures and conditions have been employed.
A stochastic approach for the seismic response of structures with control is proposed. The seismic action is described as a system with a white noise input and a seismic-like time-history response. A non-negative envelope function is modeling the input stationary random process.
Application of the methodology on very simple structures is in the views in order to begin a longer term investigation in the field. The main results show the differences between the controlled and the non-controlled cases.
From the stochastic point of view, results show that the controlled structures behave very well. It is confirmed that this type of analysis is very useful in judging a control methodology together with other analysis as time-history response and/or frequency response analysis.