{"id":16546,"date":"2022-08-08T11:40:37","date_gmt":"2022-08-08T15:40:37","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?page_id=16546"},"modified":"2022-08-08T12:06:06","modified_gmt":"2022-08-08T16:06:06","slug":"two-story-building-response-2","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/course-material\/animations\/two-story-building-response-2\/","title":{"rendered":"Three-story building response"},"content":{"rendered":"<p>Consider the three-story building below that is experiencing horizontal ground motion.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-7747 aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/Screen-Shot-2022-08-08-at-11.43.49-AM.jpg\" alt=\"\" width=\"350\" height=\"314\" \/><\/p>\n<p>Suppose that we model the building as a two-degree-of-freedom oscillator with ground motion <em>y<\/em>(t). The side-to-side ground motion can be represented by the harmonically time-varying function y(t) shown above. This system has two degrees of freedom, having two natural frequencies and two &#8220;natural modes&#8221; of vibration.<\/p>\n<p><strong><em>Frequency of ground motion near the first natural frequency of the building<\/em><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/twodof_building03.gif\" width=\"264\" height=\"318\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-16553 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/Screen-Shot-2022-08-08-at-12.04.24-PM-300x90.jpg\" alt=\"\" width=\"266\" height=\"80\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/Screen-Shot-2022-08-08-at-12.04.24-PM-300x90.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/Screen-Shot-2022-08-08-at-12.04.24-PM.jpg 304w\" sizes=\"auto, (max-width: 266px) 100vw, 266px\" \/><\/p>\n<p><strong><em>Frequency of ground motion near the scond natural frequency of the building<\/em><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/twodof_building05.gif\" width=\"286\" height=\"345\" \/><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-16554\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/Screen-Shot-2022-08-08-at-12.04.31-PM-300x98.jpg\" alt=\"\" width=\"254\" height=\"83\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/Screen-Shot-2022-08-08-at-12.04.31-PM-300x98.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/08\/Screen-Shot-2022-08-08-at-12.04.31-PM.jpg 306w\" sizes=\"auto, (max-width: 254px) 100vw, 254px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Consider the three-story building below that is experiencing horizontal ground motion. Suppose that we model the building as a two-degree-of-freedom oscillator with ground motion y(t). The side-to-side ground motion can be represented by the harmonically time-varying function y(t) shown above. This system has two degrees of freedom, having two natural frequencies and two &#8220;natural modes&#8221; &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/course-material\/animations\/two-story-building-response-2\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Three-story building response<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":14,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-16546","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/16546","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/comments?post=16546"}],"version-history":[{"count":4,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/16546\/revisions"}],"predecessor-version":[{"id":16555,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/16546\/revisions\/16555"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/14"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=16546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}