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dc.contributor.author
Reggiani Manzo, Natalia
dc.contributor.author
Vassiliou, Michalis F.
dc.date.accessioned
2020-09-21T13:13:06Z
dc.date.available
2020-09-19T02:57:38Z
dc.date.available
2020-09-21T13:13:06Z
dc.date.issued
2020
dc.identifier.issn
0098-8847
dc.identifier.issn
1096-9845
dc.identifier.other
10.1002/eqe.3347
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/441305
dc.description.abstract
This work studies the dynamics of the Negative Stiffness Bilinear Elastic (NSBE) oscillator. Such a mathematical idealization can be used to describe deformable rocking systems equipped with restraining tendons or with curved extensions of their bases. First, this paper establishes the characteristic quantities of the bilinear system to make it equivalent to the actual rocking structures. Then, it proceeds by proposing a simpler “equivalent” system that can be used to study the behavior of the NSBE. The equivalent system is not some linear elastic oscillator but a bilinear elastic system with zero stiffness of the second branch: the Zero Stiffness Bilinear Elastic (ZSBE) system. ZSBE is useful because it needs one parameter less than NSBE to be defined. Next, “Equal Displacement” and “Equal Energy” rules that provide estimates of the maximum displacement of the NSBE based on the response of the ZSBE are defined. The concept is similar to the RμΤ relations that provide estimates of the response of bilinear yielding systems based on the response of an equivalent linear elastic system, with one major difference: it does not resort to a linear elastic system but to the ZSBE. The proposed methodology is applied on the FEMA P695 ground motions scaled at three different levels. The results show that ZSBE is a good proxy of NSBE and, hence, indicate that an exhaustive study of the ZSBE is useful for the design of rocking structures. © 2020 John Wiley & Sons, Ltd.
en_US
dc.language.iso
en
en_US
dc.publisher
Wiley
en_US
dc.subject
Bilinear systems
en_US
dc.subject
Negative stiffness
en_US
dc.subject
Nonlinear dynamics
en_US
dc.subject
Rocking
en_US
dc.subject
Rocking bridges
en_US
dc.subject
Rocking spectra
en_US
dc.title
Simplified analysis of bilinear elastic systems exhibiting negative stiffness behavior
en_US
dc.type
Journal Article
dc.date.published
2020-09-05
ethz.journal.title
Earthquake Engineering & Structural Dynamics
ethz.journal.abbreviated
Earthquake eng. struct. dyn. (Print)
ethz.size
21 p.
en_US
ethz.identifier.wos
ethz.publication.place
London
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2020-09-19T02:57:46Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.exportRequired
true
ethz.COinS
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