Scattering of elastic waves by three-dimensional surface topographies

Mossessian, Tomi K.; Dravinski, Marijan

doi:10.1016/0165-2125(89)90028-0

Cited by 37 publications

(17 citation statements)

References 12 publications

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“…They also state that their presented method also may be extended to consider alluvial valleys. Diffraction of plane harmonic waves by three-dimensional surface irregularities was investigated, by Mossessian and Dravinski [8], with use of the indirect boundary integral method. The irregular shapes are arbitrary and embedded in the half-space.…”

Section: Literature Reviewmentioning

confidence: 99%

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Vibration Reduction by Landscape Shaping at High-Tech Facil-Ity

Persson

Jörstad³

et al. 2014

Proceedings of 10th World Congress on Computational Mechanics

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Abstract. This paper presents a numerical study on the reduction of vibrations in the ground. The influence of landscape shaping to reduce vibration levels induced by traffic is investigated by means of the finite element method with dynamic analyses. Both two-dimensional as well as three-dimensional finite element models are employed for the investigations. A harmonic point force is applied where the force is scaled to represent the frequency dependent traffic load. Finally, the vibration reduction effect is evaluated by comparing RMS-values at a number of different evaluation points. It is concluded from the analyses that the twodimensional and three-dimensional models correlates fairly well. The performance of a hill is increased if it is preceded by a valley but when applying more valleys than hills

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Section: Literature Reviewmentioning

confidence: 99%

“…The RMS-value of displacements from a steady-state analysis is determined as (8) where is the RMS-value of displacements, is the magnitude of the frequency dependent displacement and n is the number of frequencies in the interval.…”

Section: Structural Dynamicsmentioning

confidence: 99%

Vibration Reduction by Landscape Shaping at High-Tech Facil-Ity

Persson

Jörstad³

et al. 2014

Proceedings of 10th World Congress on Computational Mechanics

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“…Following an indirect boundary integral equation approach (Dravinski and Mossessian, 1987a;Mossessian and Dravinski, 1989) the scattered field is assumed to be generated from distribution of unknown tractions f(y) on an auxiliary surface Sa inside the surface B. Hence the scattered displacement field in the half-space can be written in the form (15) where G is a half-space displacement Green's function tensor (Aki and Richards, 1980).…”

Section: Boundary Integral Equation Analysismentioning

confidence: 99%

“…The element Gij(x, y) corresponds to the i-th component of the displacement vector at x due to a unit harmonic force at y acting in the j-th direction. Theoretical development of these Green's functions is rather involved and their complete explicit forms can be found in the article by Mossessian and Dravinski (1989). Choosing f(y) to be concentrated at discrete points of the surface Sa, it can be shown (Mossessian, 1989;Mossessian and Dravinski, 1989) that the total wave field takes the following form:…”

Section: Boundary Integral Equation Analysismentioning

confidence: 99%

“…The present work is an extension of the recent study done by Mossessian and Dravinski (1987) in which they investigated seismic responses of two-dimensional dipping layers of arbitrary Shapes. The hybrid method combines an indirect boundary integral equation approach (Dravinski and Mossessian, 1987a;Mossessian, 1989;Mossessian and Dravinski, 1989) with the finite element technique. Incident plane harmonic P. SV, SH, and Rayleigh waves are assumed.…”

Section: Introductionmentioning

confidence: 99%

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A Hybrid Approach for Scattering of Elastic Waves by Three-Dimensional Irregularities of Arbitrary Shape.

Mossessian

Dravinski

1992

J,Phys,Earth

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A hybrid technique is developed for studying scattering of elastic waves by non-axisymmetric three-dimensional near-surface inhomogeneities. The technique combines an indirect boundary integral equation method with the finite element approach. Special emphasis is placed on inhomogeneities in the form of dipping layers embedded in a half-space and subjected to plane incident P, SV, SH, and Rayleigh waves.The accuracy and efficiency of the hybrid technique are examined through several numerical examples. The comparisons with the results obtained by a boundary integral equation method validate the accuracy of the hybrid technique. The versatility of the method is demonstrated by considering several types of inhomogeneous basins containing multiple horizontal and dipping layers. It is found that the numerical efficiency of the hybrid technique becomes much higher than that of the boundary integral equation methods as the structure of the inhomogeneities gets more complex.

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Amplification of elastic waves by a three dimensional valley. Part 1: Steady state response

Mossessian

Dravinski

1990

Earthq Engng Struct Dyn

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SUMMARYSteady state scattering of incident P, SV, SH and Rayleigh waves by general non-axisymmetric three dimensional dipping layers is investigated by using an indirect boundary integral equation method. Material of the half-space and the layer is assumed to be linear, weakly anelastic, homogeneous and isotropic.Systematic comparisons between three dimensional and two dimensional models demonstrate that the validity of a two dimensional approximation for a given basin shape may be affected strongly by changes in azimuthal angle of incidence, type of incident wave and frequency. The discrepancies of two dimensional modelling appear to be much more pronounced for the case of an incident SH wave. Another important feature of the results is the existence of strong coupling between P/SV and SH modes, which has no correspondence in two dimensional models. Such off-azimuthal mode conversions are particularly strong for an incident SB wave.

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Scattering of elastic waves by three-dimensional surface topographies

Cited by 37 publications

References 12 publications

Vibration Reduction by Landscape Shaping at High-Tech Facil-Ity

Vibration Reduction by Landscape Shaping at High-Tech Facil-Ity

A Hybrid Approach for Scattering of Elastic Waves by Three-Dimensional Irregularities of Arbitrary Shape.

Amplification of elastic waves by a three dimensional valley. Part 1: Steady state response

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