Normal modes of a "cylindrical valley" of alluvium
DOI:
https://doi.org/10.5459/bnzsee.22.2.76-80Abstract
Some normal modes of vibration are deduced for a cylindrical volume of high bulk modulus, low shear modulus material, embedded in an infinite half space of rigid material. The manner in which they may be excited by travelling waves in the rigid material is examined. The relevance of such processes is discussed with regard to the enhancement of structural damage on soft soil during an earthquake.
References
Bullen, K.E. (1963) "An Introduction to the Theory of Seismology", Cambridge University Press, Cambridge, 1963, Chapter 4, equation 3.
Abramowitz, M. and Stegun, I.A. (1964) "Handbook of Mathematical Functions", Dover, New York, 1964.
Kraus, J.D. (1983) "Electromagnetics", McGraw Hill, New York, 1953.
Lomnitz, C. and Rosenblueth, E. (Editors) (1976) "Seismic Risk and Engineering Decisions". Elsevier, Amsterdam, 1976.
Jiang, Tong and Kuribayashi, E. (1988) "The Three-dimensional Resonance of Axisymmetric Sediment-filled Valleys". Soils and Foundations, v. 28 n. 4, December 1988, pp.130-146. DOI: https://doi.org/10.3208/sandf1972.28.4_130
Das, Braja M. (1983) "Fundamentals of Soil Dynamics", Elsevier.
Anderson, Ian (1985) "The harmony that caused disaster", New Scientist, v.108 n.1476, October 3, 1985, p.32.
Kerr, Richard A. (1985) "Predictable Quake Damage", Science, v.230 n.4726, November 8, 1985, p.653.
