Dynamic Characteristics of SDOF Structure with Maxwell Element
Publication: Journal of Engineering Mechanics
Volume 134, Issue 5
Abstract
Dynamic characteristics are analytically investigated for a single degree of freedom structure with a Maxwell element (SSME). Eigenvalues are obtained analytically and approximated by a perturbation method. Then, cases are sorted by a stiffness ratio : the ratio of a structural spring to an auxiliary spring. For a small , the optimal damping provides the maximum damping ratio. For a large , the lower and upper critical dampings and provide duplex eigenvalues. These values are approximated by simple terms. To reduce transient response, should be large, and should be around , , and , which provide the SSME with large damping. For a stationary excitation, the optimal damping is introduced to produce the minimum peak deformation. In fact, is larger than and , and provides larger stiffness and a smaller damping ratio. For a seismic excitation, some cases with might reduce deformation more than those with and , but must support larger stress in the Maxwell element. Thus, should be based on design constraints.
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© 2008 ASCE.
History
Received: Sep 10, 2004
Accepted: Aug 27, 2007
Published online: May 1, 2008
Published in print: May 2008
Notes
Note. Associate Editor: Lambros S. Katafygiotis
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