{"id":7885,"date":"2020-02-04T18:03:23","date_gmt":"2020-02-04T17:03:23","guid":{"rendered":"http:\/\/www.maffeis.it\/?p=7885"},"modified":"2021-02-11T23:02:23","modified_gmt":"2021-02-11T22:02:23","slug":"glazed-surfaces-under-blast-waves","status":"publish","type":"post","link":"https:\/\/www.maffeis.it\/index.php\/2020\/02\/04\/glazed-surfaces-under-blast-waves\/","title":{"rendered":"GLAZED SURFACES UNDER BLAST WAVES"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-border-sizes-left:0px;--awb-border-sizes-right:0px;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-bottom:0px;--awb-background-color:#ffffffff;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"--awb-bg-size:cover;--awb-margin-top:-30px;--awb-margin-bottom:30px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-column-content-centered\"><div class=\"fusion-column-content\"><div class=\"fusion-text fusion-text-1\"><p style=\"text-align: center;\"><span style=\"display: block; font-size: 36pt; color: #000000; margin-top: 0px; margin-bottom: 0px; letter-spacing: 1.5px; line-height: 50px;\">An engineering approach<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"display: block; font-size: 20px; color: #000000; margin-top: 0px; margin-bottom: 40px; letter-spacing: 1px; line-height: 25px;\">for the basic design of glazed surfaces under blast waves<\/span><\/p>\n<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_6 1_6 fusion-one-sixth fusion-column-first fusion-no-small-visibility fusion-animated\" style=\"--awb-padding-top:0px;--awb-bg-size:cover;width:13.3333%; margin-right: 4%;\" data-animationType=\"slideInLeft\" data-animationDuration=\"1.0\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element in-legacy-container\" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img decoding=\"async\" width=\"200\" height=\"167\" title=\"gpd-logo-lg\" src=\"https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/gpd-logo-lg-200x167.png\" alt class=\"img-responsive wp-image-7897\" srcset=\"https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/gpd-logo-lg-200x167.png 200w, https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/gpd-logo-lg-400x333.png 400w, https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/gpd-logo-lg-600x500.png 600w, https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/gpd-logo-lg-800x667.png 800w, https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/gpd-logo-lg-1200x1000.png 1200w\" sizes=\"(max-width: 800px) 100vw, 200px\" \/><\/span><\/div><div class=\"fusion-image-element in-legacy-container\" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none\"><img decoding=\"async\" width=\"1024\" height=\"1024\" title=\"1024px-Unipr.svg\" src=\"https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/1024px-Unipr.svg.png\" alt class=\"img-responsive wp-image-7881\" srcset=\"https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/1024px-Unipr.svg-200x200.png 200w, https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/1024px-Unipr.svg-400x400.png 400w, https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/1024px-Unipr.svg-600x600.png 600w, https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/1024px-Unipr.svg-800x800.png 800w, https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/1024px-Unipr.svg.png 1024w\" sizes=\"(max-width: 800px) 100vw, 200px\" \/><\/span><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_2_3 2_3 fusion-two-third\" style=\"--awb-bg-size:cover;width:65.3333%; margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-2\"><p style=\"text-align: justify;\">Nowadays the design of blast-resistant glazed fa\u00e7ades is acquiring importance to comply with building safety standards. The high-pressure generated by the blast-wave air-front can lead to catastrophic failure of the glass panes and\/or their load-bearing structure, with a possible projection of fragments that constitutes a potential threat for human lives and properties.<\/p>\n<p style=\"text-align: justify;\">The time-dependent deformations-history is usually assessed via numerical analyses and\/or experimental investigations, but it is difficult to recognize the role of each element in the dynamic response of the whole. Here, to guide structural design, we propose a simple analytical model that permits a synthetic view of the phenomenon.<\/p>\n<p style=\"text-align: justify;\">The dynamic interaction between the blast wave and the ensemble of glazed panels and load-bearing structure is studied in few paradigmatic <em>lumped element models<\/em>, representing glass panels supported by beams or tensioned cables, using <em>Rayleigh\u2019s method<\/em> to reduce the plate-behavior of each glass panels to a single-degree-of-freedom oscillator. With reasonable approximations of the Friedlander waveform, the dynamic equations are solved. This analytical treatment quantifies the importance of the load-bearing structure in absorbing the biggest part of blast wave energy, to preserve the integrity of the glass.<\/p>\n<\/div><div class=\"fusion-widget-area awb-widget-area-element fusion-widget-area-1 fusion-content-widget-area\" style=\"--awb-title-size:24px;--awb-title-color:#000000;--awb-padding:0px 0px 0px 0px;\"><section id=\"search-2\" class=\"widget widget_search\" style=\"border-radius: 1;overflow:hidden;\">\t\t<form role=\"search\" class=\"searchform fusion-search-form  fusion-live-search fusion-search-form-clean\" method=\"get\" action=\"https:\/\/www.maffeis.it\/\">\n\t\t\t<div class=\"fusion-search-form-content\">\n\n\t\t\t\t\n\t\t\t\t<div class=\"fusion-search-field search-field\">\n\t\t\t\t\t<label><span class=\"screen-reader-text\">Search for:<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<input type=\"search\" class=\"s fusion-live-search-input\" name=\"s\" id=\"fusion-live-search-input-0\" autocomplete=\"off\" placeholder=\"Search...\" required aria-required=\"true\" aria-label=\"Search...\"\/>\n\t\t\t\t\t\t\t\t\t\t\t<\/label>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"fusion-search-button search-button\">\n\t\t\t\t\t<input type=\"submit\" class=\"fusion-search-submit searchsubmit\" aria-label=\"Search\" value=\"&#xf002;\" \/>\n\t\t\t\t\t\t\t\t\t\t<div class=\"fusion-slider-loading\"><\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\n\t\t\t<\/div>\n\n\n\t\t\t\t\t\t\t<div class=\"fusion-search-results-wrapper\"><div class=\"fusion-search-results\"><\/div><\/div>\n\t\t\t\n\t\t<\/form>\n\t\t<\/section><div class=\"fusion-additional-widget-content\"><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_6 1_6 fusion-one-sixth fusion-column-last fusion-animated\" style=\"--awb-padding-top:0px;--awb-bg-size:cover;width:13.3333%;\" data-animationType=\"slideInRight\" data-animationDuration=\"1.0\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-3\"><p style=\"text-align: left;\"><span style=\"color: #000000; font-size: 14pt; font-family: arial, helvetica, sans-serif;\">Authors<\/span><\/p>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-clearfix\" style=\"float:left;margin-top:-10px;margin-bottom:20px;width:100%;max-width:130px;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:#b9bfcc;border-color:#b9bfcc;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-builder-row fusion-builder-row-inner fusion-row\"><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-0 fusion_builder_column_inner_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-4\"><p><strong><span style=\"font-size: 8pt;\">Massimo Maffeis<\/span><\/strong><br \/>\n<span style=\"font-size: 8pt;\">Maffeis Engineering | Italy<\/span><\/p>\n<p><strong><span style=\"font-size: 8pt;\">Gianni Royer-Carfagni<\/span><\/strong><br \/>\n<span style=\"font-size: 8pt;\">Maffeis Engineering | Italy<\/span><\/p>\n<p><span style=\"font-size: 8pt;\">Department of Engineering and Architecture<br \/>\nUniversity of Parma | Italy<\/span><\/p>\n<p><span style=\"font-size: 8pt;\">Construction Technologies Institute<\/span><br \/>\n<span style=\"font-size: 8pt;\">Italian National Research Council | Italy<\/span><\/p>\n<p><strong><span style=\"font-size: 8pt;\">Luca Viviani<\/span><\/strong><br \/>\n<span style=\"font-size: 8pt;\">Department of Engineering and Architecture<br \/>\nUniversity of Parma | Italy<\/span><\/p>\n<p><span style=\"font-size: 8pt;\">Construction Technologies Institute<\/span><br \/>\n<span style=\"font-size: 8pt;\">Italian National Research Council | Italy<\/span><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left top;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-border-sizes-left:0px;--awb-border-sizes-right:0px;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0%;--awb-padding-bottom:0%;--awb-margin-top:0px;--awb-margin-bottom:-80px;--awb-background-color:#ebeced;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_1_6 1_6 fusion-one-sixth fusion-column-first fusion-no-small-visibility\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;width:13.3333%; 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