{"id":2766,"date":"2020-11-09T16:14:14","date_gmt":"2020-11-09T16:14:14","guid":{"rendered":"https:\/\/blog.geostru.eu\/doppia-risonanza-terreno-struttura\/"},"modified":"2020-11-18T09:43:23","modified_gmt":"2020-11-18T09:43:23","slug":"double-resonance-ground-structure","status":"publish","type":"post","link":"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/","title":{"rendered":"Double resonance ground\/structure"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p style=\"text-align: justify\">In case of an earthquake there is a risk of amplification of its effects on a building, this risk is known as &#8220;<strong>double resonance<\/strong>&#8221; and occurs when the value of the fundamental resonance frequency of the ground of foundation is similar to the one of the building.<\/p>\n<h3>The effects of the double resonances<\/h3>\n<p style=\"text-align: justify\">The effects by double resonance ground \/ structure are responsible of the damage in the event of an earthquake. Each structure has its own resonant frequency Fb, it is necessary to investigate if in the subsoil there are amplifications due to stratigraphic resonance around that frequency.<\/p>\n<p style=\"text-align: justify\">For the calculation of the resonance frequency of the building, consolidated formulations in technical literature and reported on European legislation are applied. The frequency with which the resonance occurs in the ground is described by the law:<\/p>\n<p style=\"text-align: center\"><strong>f=Vs\/4H<\/strong><\/p>\n<p>Where:<\/p>\n<ul>\n<li>H = Height from the base plane (or building height);<\/li>\n<li style=\"text-align: justify\">V<sub>s\u00a0<\/sub>= Speed \u200b\u200bof the shear waves.<\/li>\n<\/ul>\n<blockquote>\n<p style=\"text-align: justify\"><em><a href=\"https:\/\/www.geostru.eu\/shop\/software-en\/geophysics-software\/easy-hvsr-software-hvsr-processing\/\"><strong><span style=\"color: #3b8ced\"><span style=\"text-decoration: underline\"><span style=\"color: #3b8ced;text-decoration: underline\">EASY HVSR<\/span><\/span><\/span><\/strong><\/a><span style=\"text-decoration: underline\">:<\/span> <strong>Allows to obtain immediate results in the estimation of: resonance frequency, stratigraphic profile and velocity of shear waves equivalent Vs, eq. All according to the guidelines suggested by the SESAME project.<\/strong><\/em><\/p>\n<\/blockquote>\n<h3>Estimation of the T<sub>1<\/sub> vibration period according to EC 8<\/h3>\n<p style=\"text-align: justify\">The estimation of the period of the principal vibrating mode in the direction under consideration (T1) is made according to the methods reported in annex C of <a href=\"https:\/\/eurocodes.jrc.ec.europa.eu\/doc\/WS_335\/report\/EC8_Seismic_Design_of_Buildings-Worked_examples.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">EC8 part 1-2<\/a>, for buildings with a height up to 80 m, the value of the period T1 can be approximated by the following formula:<\/p>\n<p style=\"text-align: center\">T<sub>1<\/sub> = C<sub>t<\/sub>(H)<sup>3\/4<\/sup>\u00a0 [C1]<\/p>\n<p>Where:<\/p>\n<ul>\n<li>T<sub>1<\/sub> = basic period of the building, expressed in seconds;<\/li>\n<li>C<sub>t<\/sub> = coefficient that varies according to the type of building:\n<ul>\n<li>0.085 for rigid steel knots with steel frames;<\/li>\n<li>0.075 for concrete frames with rigid knots and eccentric bracing;<\/li>\n<li>0.050 for all other structure;<\/li>\n<\/ul>\n<\/li>\n<li>H = building height.<\/li>\n<\/ul>\n<h3>Verification of double resonance of the building\/soil<\/h3>\n<p style=\"text-align: justify\">If the percentage difference in the resonant frequency building \/ soil is \u2264 50%, there will be seismic amplification effects due to double resonance.<br \/>\nIf the percentage difference in the resonant frequency of the building \/ soil is &gt; 50%, the effects of local seismic amplification can be reasonably excluded for double resonance.<\/p>\n<div id=\"gtx-trans\">\n<div class=\"gtx-trans-icon\"><\/div>\n<\/div>\n<p>[\/vc_column_text][vc_row_inner][vc_column_inner][vc_column_text]<\/p>\n<blockquote><p><a href=\"https:\/\/geoapp.geostru.eu\/app\/dual-echo\/?lang=en\" target=\"_blank\" rel=\"https:\/\/geoapp.geostru.eu\/app\/dual-echo noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2708 alignleft\" title=\"doppia risonanza\" src=\"https:\/\/blog.geostru.eu\/wp-content\/uploads\/sites\/9\/2020\/11\/Schermata-2020-11-09-alle-11.12.06-1-300x274.png\" alt=\"doppia risonanza\" width=\"124\" height=\"113\" srcset=\"https:\/\/blog.geostru.eu\/wp-content\/uploads\/sites\/9\/2020\/11\/Schermata-2020-11-09-alle-11.12.06-1-300x274.png 300w, https:\/\/blog.geostru.eu\/wp-content\/uploads\/sites\/9\/2020\/11\/Schermata-2020-11-09-alle-11.12.06-1-1024x936.png 1024w, https:\/\/blog.geostru.eu\/wp-content\/uploads\/sites\/9\/2020\/11\/Schermata-2020-11-09-alle-11.12.06-1-768x702.png 768w, https:\/\/blog.geostru.eu\/wp-content\/uploads\/sites\/9\/2020\/11\/Schermata-2020-11-09-alle-11.12.06-1.png 1244w\" sizes=\"(max-width: 124px) 100vw, 124px\" \/><\/a><\/p>\n<p style=\"text-align: justify\">The <span style=\"text-decoration: underline\"><span style=\"color: #3b8ced\"><a style=\"color: #3b8ced;text-decoration: underline\" href=\"https:\/\/geoapp.geostru.eu\/app\/dual-echo\/?lang=en\" target=\"_blank\" rel=\"noopener noreferrer\">DUAL ECHO<\/a><\/span><\/span> application is FREE, it allows to estimate the phenomenon of double resonance building\/ground, responsible for most of the damage in case of earthquake. The geoapp generates calculation report in *.docx format, graphs and allows you to save the working file and opening it later.<\/p>\n<p>&nbsp;<\/p><\/blockquote>\n<p>[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text] In case of an earthquake there is a risk of amplification of its effects on a building, this risk is known as &#8220;double resonance&#8221; and occurs when the value of the fundamental resonance frequency of the ground of foundation is similar to the one of the building. The effects of the double resonances The&hellip;<\/p>\n","protected":false},"author":16658,"featured_media":2718,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1649,1556,822],"tags":[1655,1651,1657,1656,1653],"class_list":["post-2766","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ingegneria-2-en","category-articoli-geotecnica-en","category-ingegneria-en","tag-double-resonance","tag-dual-echo-en","tag-earthquake","tag-engineering","tag-pushover-en","category-1649","category-1556","category-822","description-off"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.0 (Yoast SEO v25.0) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Double resonance ground\/structure - Geostru Blog<\/title>\n<meta name=\"description\" content=\"n case of an earthquake there is a risk of amplification of its effects on a building, this risk is known as &quot;double resonance&quot;\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Double resonance ground\/structure\" \/>\n<meta property=\"og:description\" content=\"In case of an earthquake there is a risk of amplification of its effects on a building, this risk is known as &quot;double resonance&quot; and occurs when the value\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/\" \/>\n<meta property=\"og:site_name\" content=\"Geostru Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GeoStruSoftware\/\" \/>\n<meta property=\"article:published_time\" content=\"2020-11-09T16:14:14+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-11-18T09:43:23+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blog.geostru.eu\/wp-content\/uploads\/sites\/9\/2020\/11\/Risorsa-30.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1199\" \/>\n\t<meta property=\"og:image:height\" content=\"630\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Geostru editor\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Geostru editor\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/\"},\"author\":{\"name\":\"Geostru editor\",\"@id\":\"https:\/\/blog.geostru.eu\/en\/#\/schema\/person\/e065ac1a7b26936e8df7096ec39b166f\"},\"headline\":\"Double resonance ground\/structure\",\"datePublished\":\"2020-11-09T16:14:14+00:00\",\"dateModified\":\"2020-11-18T09:43:23+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/\"},\"wordCount\":435,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/blog.geostru.eu\/en\/#organization\"},\"image\":{\"@id\":\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/blog.geostru.eu\/wp-content\/uploads\/sites\/9\/2020\/11\/WhatsApp-Image-2020-11-04-at-16.38.27.png\",\"keywords\":[\"double resonance\",\"dual echo\",\"earthquake\",\"engineering\",\"pushover\"],\"articleSection\":[\"Engineering\",\"Geotechnical engineering\",\"Structural engineering\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/\",\"url\":\"https:\/\/blog.geostru.eu\/en\/double-resonance-ground-structure\/\",\"name\":\"Double resonance ground\/structure - 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