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A numerical study of damping (1974)

Thomson, William T. ; Calkins, Tom ; Caravani, Paolo

Wiley

In: Earthquake Engineering and Structural Dynamics. 1974; 3(1): 97-103. Published 1974 Jan 01. doi: 10.1002/eqe.4290030108.

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Publication Date: 1974-01-01

Description: Diagonal damping matrices were computed for three systems which have non‐proportional damping matrices. These diagonal damping matrices were computed on three bases, as follows: 1. After normalizing the equations of motion by the modal matrix, the diagonal terms are retained ignoring the non‐diagonal terms. 2. Diagonal damping matrix is established by the optimization algorithm which minimizes the mean square error of the frequency response. 3. Diagonal damping is determined from the normalized differential equation by matching the peaks of the coupled and uncoupled system. The frequency responses for the three cases of one of the three systems are presented together with a comparison of the energy dissipation. Copyright © 1974 John Wiley & Sons, Ltd

Print ISSN: 0098-8847

Electronic ISSN: 1096-9845

Topics: Architecture, Civil Engineering, Surveying

Published by Wiley

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