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On the fundamental resonant mode of inhomogeneous soil deposits

Garcia-Suarez, Joaquin and Asimaki, Domniki (2020) On the fundamental resonant mode of inhomogeneous soil deposits. Soil Dynamics and Earthquake Engineering, 135 . Art. No. 106190. ISSN 0267-7261.

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The problem of estimating seismic ground deformation is central to state-of-practice procedures of designing and maintaining infrastructure in earthquake-prone areas. Particularly, the problem of estimating the displacement field in a soft shallow layer overlying rigid bedrock induced by simple shear wave excitation has been favored by engineers due to its simplicity combined with inherent relevance for practical scenarios. We here derive analytical estimates for both the fundamental frequency and the amplitude of the first resonant mode of such systems by applying an intuitive argument based on resonance of single-degree-of-freedom systems. Our estimates do not presuppose a continuous velocity distribution, and can be used for fast assessment of site response in seismic hazard assessment and engineering design. On the basis of the said estimates of fundamental frequency and amplitude, we next propose a novel definition of “equivalent homogeneous shear modulus” of the inhomogeneous deposit, and we show that the response of the fundamental mode is controlled primarily by the properties of the layers contiguous to the bedrock. We finally discuss the validity of our argument, and evaluate the accuracy of our results by comparison with analytical and numerical solutions.

Item Type:Article
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URLURL TypeDescription Paper ItemJupyter notebook containing code
Garcia-Suarez, Joaquin0000-0001-8830-4348
Asimaki, Domniki0000-0002-3008-8088
Additional Information:© 2020 Elsevier Ltd. Received 28 November 2019, Revised 24 March 2020, Accepted 22 April 2020, Available online 30 April 2020.
Subject Keywords:Site response analysis; Resonance; Soil deposit
Record Number:CaltechAUTHORS:20200218-142951230
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Official Citation:Joaquin Garcia-Suarez, Domniki Asimaki, On the fundamental resonant mode of inhomogeneous soil deposits, Soil Dynamics and Earthquake Engineering, Volume 135, 2020, 106190, ISSN 0267-7261,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101333
Deposited By: Tony Diaz
Deposited On:18 Feb 2020 22:39
Last Modified:30 Apr 2020 23:42

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