{"id":12895,"date":"2021-11-30T20:33:57","date_gmt":"2021-12-01T01:33:57","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?page_id=12895"},"modified":"2025-04-17T11:55:58","modified_gmt":"2025-04-17T15:55:58","slug":"influence-of-damping-on-free-vibrations","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/course-material\/animations\/influence-of-damping-on-free-vibrations\/","title":{"rendered":"Influence of damping ratio on free vibrations"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12904\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.41.52-PM-300x191.jpg\" alt=\"\" width=\"339\" height=\"216\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.41.52-PM-300x191.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.41.52-PM-768x489.jpg 768w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.41.52-PM.jpg 1015w\" sizes=\"auto, (max-width: 339px) 100vw, 339px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12901\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.29-PM-300x254.jpg\" alt=\"\" width=\"322\" height=\"272\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.29-PM-300x254.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.29-PM-768x650.jpg 768w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.29-PM.jpg 1005w\" sizes=\"auto, (max-width: 322px) 100vw, 322px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12902\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.54-PM-300x50.jpg\" alt=\"\" width=\"492\" height=\"82\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.54-PM-300x50.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.54-PM-1024x172.jpg 1024w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.54-PM-768x129.jpg 768w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-30-at-8.38.54-PM.jpg 1382w\" sizes=\"auto, (max-width: 492px) 100vw, 492px\" \/><\/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\/2021\/11\/damped_response.gif\" width=\"562\" height=\"517\" \/><\/p>\n<p>Shown below is the influence of the damping ratio on the free response of the single-DOF system for the range of the damping ratio from zero to one. Note how quickly the free response dies away for even &#8220;small&#8221; amounts of damping (0.1 to 0.2 damping ratio).<\/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\/2025\/04\/damping.gif\" width=\"427\" height=\"161\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Shown below is the influence of the damping ratio on the free response of the single-DOF system for the range of the damping ratio from zero to one. Note how quickly the free response dies away for even &#8220;small&#8221; amounts of damping (0.1 to 0.2 damping ratio).<\/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-12895","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/12895","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=12895"}],"version-history":[{"count":6,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/12895\/revisions"}],"predecessor-version":[{"id":22650,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/12895\/revisions\/22650"}],"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=12895"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}