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Determination of Resonance Frequency of Two-Dimensional Alluvial Valley by Background Phase Subtraction Method

Published online by Cambridge University Press:  05 May 2011

Tsung-Jen Teng ,
Juin-Fu Chai  and
Chau-Shioung Yeh
Tsung-Jen Teng*
Affiliation:
National Center for Research onEarthquake Engineering, Taipei, Taiwan
Juin-Fu Chai*
Affiliation:
National Center for Research onEarthquake Engineering, Taipei, Taiwan
Chau-Shioung Yeh*
Affiliation:
Department of Civil Engineering, and Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan
*
* Associate Research Fellow
* Associate Research Fellow
**Professor
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Abstract

This paper is to develop the background phase subtraction method to determine the resonance frequency of a two-dimensional alluvial valley subjected to an incident plane SH-wave. The scattered wave due to the alluvium can be expressed in a series of basis functions, and the associated coefficients are related to the coefficients of free field by the so-called T-matrix method. By applying the resonance scattering theory, the effects among all normal modes can be decoupled and hence one can obtain the phase shift of each eigen partial wave. Similarly, the phase shift of each eigen partial wave due to a canyon with the same geometrical shape of the alluvium can be determined, and is recognized as the background effect. Furthermore, based on the phase represented scattering matrix, the resonance frequencies of each normal mode and its overtones can be determined by the subtraction of the associated phase dependent function due to the canyon from that due to the alluvium.

Keywords

T-matrixResonance scattering theoryResonance frequencyBackground phase subtraction method
Type
Articles
Information
Journal of Mechanics , Volume 14 , Issue 1 , March 1998 , pp. 1 - 15
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

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References

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