Design of tuned mass dampers incorporating wire rope springs: Part II: Simple design method

• Published in: Engineering structures Vol. 27; no. 5; pp. 662 - 674
• Main Authors: Gerges, Rafik R., Vickery, Barry J.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.04.2005; Elsevier
• Subjects: Applied sciences; Averaging; Buildings. Public works; Computation methods. Tables. Charts; Design; Earthquake; Earthwork. Foundations. Retaining walls; Exact sciences and technology; Geotechnics; Non-linear; Passive control; Probability; Stresses. Safety; Structural analysis. Stresses; Tuned mass damper; Wind; Wire rope; Design; Wind; Earthquake; Tuned mass damper; Probability; Wire rope; Non-linear; Averaging; Passive control; Dynamic response; Averaging method; Earthquake effect; Nonlinear analysis; System design; Wind effect; Probability distribution; Forecast model; Spring; Experimental result; Vibration damping; Building dynamics; Computing method; Comparative study
• ISSN: 0141-0296; 1873-7323
• DOI: 10.1016/j.engstruct.2004.12.014

A weighted-average technique to calculate the response of a structure equipped with a wire rope spring tuned mass damper, TMD, is presented. The probability distribution of structure-TMD relative displacement envelope is assumed to be of the Rayleigh-type and is used as a weighting function in averaging the amplitude-dependent response. The method is verified by comparing the calculated response with the measurements obtained from the experiments. Further, design charts are developed for structures subject to a white noise random force. The charts are in the form of contour plots for the equivalent viscous damping ratio, provided by the TMD, and the ratio of root-mean-square (RMS) relative displacement to RMS primary system displacement. The use of the design charts is demonstrated by a design example.