{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:38:19Z","timestamp":1760060299383,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,8,14]],"date-time":"2025-08-14T00:00:00Z","timestamp":1755129600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"CONSTRUCT\u2014Instituto de I&amp;D em Estruturas e Constru\u00e7\u00f5es","award":["UID\/04708","PTDC\/ECI-EGC\/3352\/2021"],"award-info":[{"award-number":["UID\/04708","PTDC\/ECI-EGC\/3352\/2021"]}]},{"name":"national funds","award":["UID\/04708","PTDC\/ECI-EGC\/3352\/2021"],"award-info":[{"award-number":["UID\/04708","PTDC\/ECI-EGC\/3352\/2021"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Vibration"],"abstract":"<jats:p>Train-induced vibrations negatively impact residents in nearby buildings and are increasingly recognized as a public health concern. To address this issue, both effective mitigation measures and simplified design procedures are essential. This study investigates the mitigation pattern induced by an array of stiff inclusions employing a modal dispersive analysis. However, applying this type of analysis to a half-space medium presents challenges. To overcome this limitation, a wave-scattering methodology is proposed. This approach enables the computation of the mitigation pattern in a specific direction and at a particular location. It also highlights the conditioning energy content, thereby identifying the key frequency target for attenuation.<\/jats:p>","DOI":"10.3390\/vibration8030047","type":"journal-article","created":{"date-parts":[[2025,8,14]],"date-time":"2025-08-14T15:44:21Z","timestamp":1755186261000},"page":"47","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Numerical Analysis of the Dispersive Behaviour of Buried Elastic Periodic Structures"],"prefix":"10.3390","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7650-1838","authenticated-orcid":false,"given":"Alexandre","family":"Castanheira-Pinto","sequence":"first","affiliation":[{"name":"CONSTRUCT, Faculty of Engineering, University of Porto, 4099-002 Porto, Portugal"},{"name":"AV Enginyers, Edifici GAIA, Rambla Sant Nebridi 22, 08222 Terrassa, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2989-375X","authenticated-orcid":false,"given":"Lu\u00eds","family":"Godinho","sequence":"additional","affiliation":[{"name":"ISISE, Department of Civil Engineering, University of Coimbra, 3004-531 Coimbra, Portugal"}]},{"given":"Pedro","family":"Alves Costa","sequence":"additional","affiliation":[{"name":"CONSTRUCT, Faculty of Engineering, University of Porto, 4099-002 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2224-8977","authenticated-orcid":false,"given":"Aires","family":"Cola\u00e7o","sequence":"additional","affiliation":[{"name":"CONSTRUCT, Faculty of Engineering, University of Porto, 4099-002 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2025,8,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1276","DOI":"10.1016\/j.scitotenv.2015.09.101","article-title":"The growth of railway ground vibration problems\u2014A review","volume":"568","author":"Connolly","year":"2016","journal-title":"Sci. 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