Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/30534
Title: Pounding of structures modelled as non-linear impacts of two oscillators
Authors: Chau, KT 
Wei, XX
Keywords: Adjacent structures
Earthquakes
Impact velocity
Non-linear impact
Oscillators
Pounding
Issue Date: 2001
Publisher: John Wiley & Sons
Source: Earthquake engineering and structural dynamics, 2001, v. 30, no. 5, p. 633-651 How to cite?
Journal: Earthquake engineering and structural dynamics 
Abstract: A new formulation is proposed to model pounding between two adjacent structures, with natural periods T1 and T2 and damping ratio ζ1 and ζ2 under harmonic earthquake excitation, as non-linear Hertzian impact between two single-degree-of-freedom oscillators. For the case of rigid impacts, a special case of our analytical solution has been given by Davis ('Pounding of buildings modelled by an impact oscillator' Earthquake Engineering and Structural Dynamics, 1992; 21:253-274) for an oscillator pounding on a stationary barrier. Our analytical predictions for rigid impacts agree qualitatively with our numerical simulations for non-rigid impacts. When the difference in natural periods between the two oscillators increases, the impact velocity also increases drastically. The impact velocity spectrum is, however, relatively insensitive to the standoff distance. The maximum relative impact velocity of the coupled system can occur at an excitation period Tn* which is either between those of the two oscillators or less than both of them, depending on the ratio T1/T2 and ζ1/ζ2. Although the pounding force between two oscillators has been primarily modelled by the Hertz contact law, parametric studies show that the maximum relative impact velocity is not very sensitive to changes in the contact parameters.
URI: http://hdl.handle.net/10397/30534
ISSN: 0098-8847
EISSN: 1096-9845
DOI: 10.1002/eqe.27
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