Vertical wave barriers for vibration reduction

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O R I G I NA L

A. V. Dudchenko

· D. Dias · S. V. Kuznetsov

Vertical wave barriers for vibration reduction

Received: 28 August 2019 / Accepted: 28 August 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Earthquakes generate a series of waves that penetrate the Earth. Depending on proximity to the epicenter of an earthquake, different types of seismic waves dominate at the surface of the Earth. Distinct kinds of seismic waves shake the ground in various ways. Love and Rayleigh waves both produce ground shaking at the surface of the Earth, which exponentially attenuates with depth. Surface waves can often constitute the most important component of ground shaking far from the epicenter due to the fact that the decrease in their amplitude diminishes less rapidly with distance; thus, these waves can be dangerous and destructive. Hereinafter, the concept of a seismic barrier in soil protecting the area from seismic waves of the Rayleigh type is considered. The main idea behind this type of protection is to prevent seismic waves from transmitting wave energy into the protected zone, decreasing the amplitudes of displacements, velocities and accelerations at the points behind the barrier. In this article, numerical simulations on planar and spatial models are presented and discussed for the cases of horizontal and vertical barriers using different mechanical and geometrical parameters of the barriers. Additionally, an algorithm for a multi-parametric optimization of the barrier geometry and material is presented and adopted for specific soil conditions. Keywords Seismic protection · Vibration isolation · Seismic barrier · Acoustic barrier · Numerical modeling · Rayleigh wave scattering

1 Introduction Generally, modern approaches for seismic as well as vibration protection can be divided into two main groups: (1) methods for creating vibrationally stable structures and joints and introducing special dampers that would isolate the structure from vibrations induced by seismicity or artificial vibration sources; (2) methods for creating a special barrier which would prevent the transmission of wave energy into the protected area. (Such waves can be generated by both earthquakes and artificial sources of vibration, e.g., trains.) Hereinafter, in this work, the second group of these methods is considered. A. V. Dudchenko (B) LLC “PIK-PROJECT”, Rastorguevskij pereulok, d. 3, korp. 16, Moscow, Russia 123557 E-mail: [email protected] D. Dias Antea Group, ANTONY PARC 1, 2/6 Place du G_en_eral de Gaulle, 92160 Antony, France E-mail: [email protected] S.V. Kuznetsov Institute for Problems in Mechanics Russian Academy of Sciences, 101 Prosp. Vernadskogo, Moscow, Russia 119526 E-mail: [email protected]

A. V. Dudchenko et al.

The major vibration sources for civil and geotechnical engineering can be divided into external and internal ones according to their location with respect to the surface of a half-space. External vibration sources including high-speed trains, above and near-ground const

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