Trifunac, Mihailo and Gicev, Vlado (2006) Response spectra for differential motion of columns, paper II: Outofplane response. Soil Dynamics and Earthquake Engineering, 26 (12). pp. 11491160.

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Abstract
It is shown that the common response spectrum method for synchronous ground motion can be extended to make it applicable for earthquake response analyses of extended structures experiencing differential outofplane ground motion. A relative displacementspectrum for design of firststory columns SDC (T, TT, z, zT, t, d) is defined. In addition to the natural period of the outofplane response, T, and the corresponding fraction of critical damping, z, this spectrum also depends on the fundamental period of torsional vibrations, TT, and the corresponding fraction of critical damping, zT, on the ‘‘travel time,’’ t (of the waves in the soil over a distance of about onehalf the length of the structure), and on a dimensionless factor d, describing the relative response of the first floor. The new spectrum, SDC, can be estimated by using the empirical scaling equations for relative displacement spectra, SD, and for peak ground velocity, vmax. For recorded strongmotion acceleration, and for symmetric buildings, the new spectrum can be computed from Duhamel’s integrals of two uncoupled equations for dynamics equilibrium describing translation and rotation of a twodegreeoffreedom system. This representation is accurate when the energy of the strongmotion is carried by waves in the ground the wavelengths of which are one order of magnitude or more longer than the characteristic length of the structure.
Item Type:  Article 

Subjects:  Natural sciences > Earth and related environmental sciences Natural sciences > Matematics Natural sciences > Physical sciences 
Divisions:  Faculty of Computer Science 
Depositing User:  Vlado Gicev 
Date Deposited:  05 Nov 2012 12:41 
Last Modified:  29 Oct 2013 10:52 
URI:  http://eprints.ugd.edu.mk/id/eprint/392 
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