Nonlinear dimensional analysis of trapezoidal valleys subjected to vertically propagating SV waves

Gelagoti, F; Kourkoulis, R; Anastasopoulos, I; Gazetas, G

dc.contributor.author	Gelagoti, F	en
dc.contributor.author	Kourkoulis, R	en
dc.contributor.author	Anastasopoulos, I	en
dc.contributor.author	Gazetas, G	en
dc.date.accessioned	2014-03-01T02:11:32Z
dc.date.available	2014-03-01T02:11:32Z
dc.date.issued	2012	en
dc.identifier.issn	00371106	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29932
dc.subject.other	Dimensional analysis	en
dc.subject.other	Dimensionless parameters	en
dc.subject.other	Gain insight	en
dc.subject.other	Material property	en
dc.subject.other	Nonlinear soil response	en
dc.subject.other	Parametric study	en
dc.subject.other	Resistance ratio	en
dc.subject.other	Rigidity ratio	en
dc.subject.other	Seismic excitations	en
dc.subject.other	Slope inclination	en
dc.subject.other	Soil nonlinearity	en
dc.subject.other	Soil response	en
dc.subject.other	Soil stiffness	en
dc.subject.other	SV wave	en
dc.subject.other	Valley shape	en
dc.subject.other	Valley slopes	en
dc.subject.other	Vertical accelerations	en
dc.subject.other	Wave reflections	en
dc.subject.other	Dynamic response	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Soils	en
dc.subject.other	Stiffness	en
dc.subject.other	Two dimensional	en
dc.subject.other	Landforms	en
dc.subject.other	bedrock	en
dc.subject.other	S-wave	en
dc.subject.other	seismic response	en
dc.subject.other	stiffness	en
dc.subject.other	wave propagation	en
dc.title	Nonlinear dimensional analysis of trapezoidal valleys subjected to vertically propagating SV waves	en
heal.type	journalArticle	en
heal.identifier.primary	10.1785/0120110182	en
heal.identifier.secondary	http://dx.doi.org/10.1785/0120110182	en
heal.publicationDate	2012	en
heal.abstract	This paper studies the seismic response of soil basins emphasizing the sensitivity of 2D dynamic response to geometric and material properties. This is accomplished through a formal dimensional analysis accounting for fully inelastic soil response thus augmenting the generalization potential of the results, and providing a novel framework for future research on the subject. It is shown that 2D valley response may be described through the following key dimensionless parameters: (1) the valley shape factor s, expressing the slope inclination; (2) the impedance ratio i, which expresses the stiffness of the soil relative to the bedrock; (3) the wavelength ratio λS, which is a function of soil stiffness and seismic excitation frequency; (4) the rigidity ratio v, expressing the stiffness of the soil relative to its strength; and (5) the resistance ratio r, which expresses the degree of soil nonlinearity. The effectiveness of the dimensional formulation is verified through the numerical analysis of equivalent valleys, assuming elastic and nonlinear soil response. Finally, a parametric study is conducted to gain insight on the effects of the introduced dimensionless parameters on the dynamic response of trapezoidal alleys. It is shown that decreasing the valley slope or the wavelength ratio promotes wave reflections within the wedge, thus enhancing the possibility of wave interferences and subsequently leading to 2D aggravation on the valley surface. On the other hand, the geometry-dependent parasitic vertical acceleration increases as the valley slope becomes steeper. As the degree of soil nonlinearity increases, 2D phenomena tend to become localized close to the valley edges.	en
heal.journalName	Bulletin of the Seismological Society of America	en
dc.identifier.doi	10.1785/0120110182	en
dc.identifier.volume	102	en
dc.identifier.issue	3	en
dc.identifier.spage	999	en
dc.identifier.epage	1017	en