Scattering and diffraction of plane P waves by circular cylindrical canyons with variable depth-to-width ratio

Cao, Huaigu; Lee, V.W.

doi:10.1016/s0301-2115(79)80003-2

Cited by 24 publications

(28 citation statements)

References 4 publications

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“…As the area of the fault surface (L is the fault length and W = 4 W, is the fault width), L W, increases with increasing magnitude, W becomes larger and so urnax is located at progressively greater depths.66 Detailed source mechanism studies in California for the earthquakes which have contributed to the strong motion data base used here suggest that the largest dislocation amplitudes do not occur near the ground surDuring the Parkfield earthquake of 1966, the dislocation occurred at depth73 and its eventual For Fourier amplitude spectra of strong motion acceleration in the near field, FSNF(w), equation (13) (11). Why should we choose Lmin rather than some average estimate of L?…”

Section: Near-jield Displacementsmentioning

confidence: 89%

Fourier amplitude spectra of strong motion acceleration: Extension to high and low frequencies

Trifunac

1994

Earthq Engng Struct Dyn

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SUMMARYIt is shown how the empirical equations for scaling the Fourier amplitude spectra in the frequency band from -0.1 to 25 Hz can be extended to describe the strong motion amplitudes in a much broader frequency range. At long periods, the proposed equations are in excellent agreement with (1) the seismoiogicai and fieid estimates of permanent ground displacement (near field) and (2) the independent estimates of seismic moment (far field). At high frequencies,f> 25 Hz, the spectral amplitudes can be described by exp (-rrkf), where k ranges from 0.02 (near source) to about 0.06 at an epicentral distance of about 200 km. It is also shown how amplification by local soil and geological site conditions can be defined to apply in the same broad frequency range.

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Section: Near-jield Displacementsmentioning

confidence: 89%

Fourier amplitude spectra of strong motion acceleration: Extension to high and low frequencies

Trifunac

1994

Earthq Engng Struct Dyn

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“…When the incidence of P wave occurs, the reflection coefficients of reflected P wave and reflected SV wave are represented by 1 and 2 , respectively [14]. In the case of the incident SV wave, the reflection coefficients of reflected P wave and reflected SV wave are represented by 1 and 2 , respectively [15].…”

Section: Free Field With Obliquely Incident Wavesmentioning

confidence: 99%

“…The incident wave field is determined by (14) and the seismic response at any point on the free surface is identical to the design seismic motion. Further, the incident waves can produce nonuniform motion due to the time difference for different nodes on the free surface.…”

Section: Obliquely Incident Waves Reflecting the Design Ground Motionmentioning

confidence: 99%

Oblique Incidence of Seismic Wave Reflecting Two Components of Design Ground Motion

Cen

et al. 2018

Shock and Vibration

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The wave field on the artificial boundary was separated into the free field without local topography effect and scattering field induced by local topography effect. The simulation of the free field under obliquely incident waves was conducted. Based on the assumption that the components of design ground motion were treated as the coincidence of oblique P wave and oblique SV wave, the relationship between the oblique input waves and the design ground motion was established in the free field. Further, the contributions to the two components of design ground motion of obliquely incident waves were discussed. The calculation model in time domain was achieved by the combination of the propagation characteristics of obliquely incident waves and the artificial boundary in the free field. The seismic response to the design ground motion was produced on the free surface. The verification of the 2D half-space model under oblique input waves indicated that the wave input method can accurately reflect the design ground motion on the free surface. Application of an earth-rock dam showed that oblique incidence of seismic waves results in significantly different dynamic response compared with the normal incidence. The proposed method can also be employed in the seismic analysis of large span structures with nonuniform ground motion input.

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“…The problem can be studied by analytical methods (Lee and Cao, 1989;Cao and Lee, 1990;Trifunac, 1973;Liang et al, 2006) or numerical methods (Vogt et al, 1988;Wong, 1982;Dravinski and Mossessian, 1987;Sainchez-Sesma and Campillo, 1991;Kawase, 1988;Liao, 2002). Analytical methods are essential for exploring the physical nature of special problems; however, numerical methods have advantages in solving problems with complex boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

2.5D scattering of incident plane SV waves by a canyon in layered half-space

Liang

2010

Earthq. Eng. Eng. Vib.

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This paper presents a 2.5D scattering of incident plane SV waves by a canyon in a layered half-space by using the indirect boundary element method (IBEM). A free fi eld response analysis is performed to provide the displacements and stresses on the boundary of the canyon where fi ctitious uniform moving loads are applied to calculate the Green's functions for the displacements and stresses. The amplitudes of the loads are determined by the boundary conditions. The free fi eld displacements are added to the fi ctitious uniform moving loads induced displacements and the total response is obtained. Numerical calculations are performed for a canyon with homogenous and in one layer over bedrock. The effects of the thickness and stiffness of the layer on the amplifi cation are studied and discussed.

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Scattering and diffraction of plane P waves by circular cylindrical canyons with variable depth-to-width ratio

Cited by 24 publications

References 4 publications

Fourier amplitude spectra of strong motion acceleration: Extension to high and low frequencies

Fourier amplitude spectra of strong motion acceleration: Extension to high and low frequencies

Oblique Incidence of Seismic Wave Reflecting Two Components of Design Ground Motion

2.5D scattering of incident plane SV waves by a canyon in layered half-space

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