Parametric control of structural responses using an optimal passive tuned mass damper under stationary Gaussian white noise excitations

• Published in: Frontiers of Structural and Civil Engineering Vol. 6; no. 3; pp. 267 - 280
• Main Authors: CHEY, Min-Ho, KIM, Jae-Ung
• Format: Journal Article
• Language: English
• Published: Heidelberg Higher Education Press 2012; SP Higher Education Press
• Subjects: Cities; Civil Engineering; Countries; earthquake excitation; Engineering; parametric optimization; passive control; Regions; Research Article; tuned mass damper; white noise; tuned mass damper; passive control; white noise; earthquake excitation; parametric optimization
• ISSN: 2095-2430; 2095-2449; 1673-7512
• DOI: 10.1007/s11709-012-0170-x

In this study, the structural control strategy utilizing a passive tuned mass damper (TMD) system as a seismic damping device is outlined, highlighting the parametric optimization approach for displacement and acceleration control. The theory of stationary random processes and complex frequency response functions are explained and adopted. For the vibration control of an undamped structure, the optimal parameters of a TMD, such as the optimal tuning frequency and optimal damping ratio, to stationary Gaussian white noise acceleration are investigated by using a parametric optimization procedure. For damped structures, a numerical searching technique is used to obtain the optimal parameters of the TMD, and then the explicit formulae for these optimal parameters are derived through a sequence of curve-fitting schemes. Using these specified optimal parameters, several different controlled responses are examined, and then the displacement and acceleration based control effectiveness indices of the TMD are examined from the view point of RMS values. From the viewpoint of the RMS values of displacement and acceleration, the optimal TMDs adopted in this study shows clear performance improvements for the simplified model examined, and this means that the effective optimization of the TMD has a good potential as a customized target response-based structural strategy.