Modes Coupling Seismic Waves and Vibrating Buildings: Existence

D. Volkov () and S. Zheltukhin ()
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D. Volkov: Worcester Polytechnic Institute
S. Zheltukhin: Worcester Polytechnic Institute

Chapter Chapter 29 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 325-334 from Springer

Abstract: Abstract We prove an existence result for frequency modes coupling seismic waves and vibrating tall buildings. The derivation from physical principles of a set of equations modeling this phenomenon was done in previous studies. In this model all vibrations are assumed to be anti-plane and time harmonic so the two dimensional Helmholtz equation can be used. A coupling frequency mode is obtained once we can determine a wavenumber such that the solution of the corresponding Helmholtz equation in the lower half plane with relevant Neumann and Dirichlet at the interface satisfies a specific integral equation at the base of an idealized tall building.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59384-5_29

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DOI: 10.1007/978-3-319-59384-5_29

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