{"id":4834,"date":"2019-01-14T17:15:45","date_gmt":"2019-01-14T22:15:45","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/?page_id=4834"},"modified":"2019-01-14T17:20:15","modified_gmt":"2019-01-14T22:20:15","slug":"sdof-total-response","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/chapter-iv-animations\/sdof-total-response\/","title":{"rendered":"SDOF total response"},"content":{"rendered":"<p><!--This file created 10\/20\/02 7:41 PM by Claris Home Page version 3.0--><\/p>\n<p>&nbsp;<\/p>\n<h2><span style=\"color: #000000; font-family: Arial;\">Response of Discrete Systems: Transient + Steady State Response<\/span><\/h2>\n<hr noshade=\"noshade\" size=\"1\" \/>\n<h2><span style=\"font-size: 12pt;\">Recall from lecture that the total response is combination of the complementary solution and the particular solution. For harmonic excitation on a single-DOF system, this total response will be composed of two frequencies: the natural frequency and the forcing frequency. With damping, the component with the natural frequency will die away (&#8220;transient&#8221; response) and that with the forcing frequency will persist (&#8220;steady state&#8221;) response. The animation below shows how the two solutions combine to form the response. Can you see the two frequencies in this response?<\/span><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4839\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/total-1.gif\" alt=\"\" width=\"640\" height=\"400\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Response of Discrete Systems: Transient + Steady State Response Recall from lecture that the total response is combination of the complementary solution and the particular solution. For harmonic excitation on a single-DOF system, this total response will be composed of two frequencies: the natural frequency and the forcing frequency. With damping, the component with &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/chapter-iv-animations\/sdof-total-response\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">SDOF total response<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":4784,"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-4834","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/pages\/4834","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/comments?post=4834"}],"version-history":[{"count":3,"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/pages\/4834\/revisions"}],"predecessor-version":[{"id":4840,"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/pages\/4834\/revisions\/4840"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/pages\/4784"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/media?parent=4834"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}