Inverse Solutions for One-Dimensional Seismic Waves in Elastic, Inhomogeneous MediaSource: Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 003::page 469Author:H. L. Schreyer
DOI: 10.1115/1.3424102Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An inverse procedure is developed for obtaining exact solutions to the one-dimensional inhomogeneous wave equation. Transformations of the independent spatial variable and the dependent variable are introduced so that the wave equation assumes the form associated with a homogeneous material. The resulting transformation relations are nonlinear but of such a nature that they can be easily integrated if the reciprocal of the wave speed distribution can be expressed in terms of elementary functions. One functional form that yields realistic values for material properties of soil layers is investigated in detail. Amplification factors for a sinusoidal seismic shear wave in inhomogeneous and homogeneous layers are derived and illustrations of significantly different characteristics for the two types of layers are shown.
keyword(s): Seismic waves , Waves , Wave equations , Materials properties , Functions , Soil AND Shear (Mechanics) ,
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| contributor author | H. L. Schreyer | |
| date accessioned | 2017-05-08T23:02:15Z | |
| date available | 2017-05-08T23:02:15Z | |
| date copyright | September, 1977 | |
| date issued | 1977 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26077#469_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/89498 | |
| description abstract | An inverse procedure is developed for obtaining exact solutions to the one-dimensional inhomogeneous wave equation. Transformations of the independent spatial variable and the dependent variable are introduced so that the wave equation assumes the form associated with a homogeneous material. The resulting transformation relations are nonlinear but of such a nature that they can be easily integrated if the reciprocal of the wave speed distribution can be expressed in terms of elementary functions. One functional form that yields realistic values for material properties of soil layers is investigated in detail. Amplification factors for a sinusoidal seismic shear wave in inhomogeneous and homogeneous layers are derived and illustrations of significantly different characteristics for the two types of layers are shown. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Inverse Solutions for One-Dimensional Seismic Waves in Elastic, Inhomogeneous Media | |
| type | Journal Paper | |
| journal volume | 44 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3424102 | |
| journal fristpage | 469 | |
| journal lastpage | 474 | |
| identifier eissn | 1528-9036 | |
| keywords | Seismic waves | |
| keywords | Waves | |
| keywords | Wave equations | |
| keywords | Materials properties | |
| keywords | Functions | |
| keywords | Soil AND Shear (Mechanics) | |
| tree | Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 003 | |
| contenttype | Fulltext |