{"id":4787,"date":"2019-01-14T12:23:25","date_gmt":"2019-01-14T17:23:25","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/?page_id=4787"},"modified":"2019-01-14T17:11:15","modified_gmt":"2019-01-14T22:11:15","slug":"sdof-harmonic-response","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/chapter-iv-animations\/sdof-harmonic-response\/","title":{"rendered":"SDOF harmonic response"},"content":{"rendered":"<p><!--This file created 10\/20\/02 7:51 PM by Claris Home Page version 3.0--><\/p>\n<p>&nbsp;<\/p>\n<h2><span style=\"color: #000000; font-family: Arial;\">Single DOF Steady-State Response due to Harmonic Excitation<\/span><\/h2>\n<hr noshade=\"noshade\" size=\"1\" \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 694px;\" border=\"1\" width=\"700\">\n<tbody>\n<tr>\n<td style=\"width: 737px;\"><center><em><span style=\"font-size: 18pt;\"><b>Frequency of excitation near zero<\/b><\/span><\/em><\/center>&nbsp;<\/p>\n<p>The response is in phase with the excitation and the amplitude of response approaches the static response.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4795\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_02.gif\" alt=\"\" width=\"681\" height=\"123\" \/><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 25px;\" border=\"1\">\n<tbody>\n<tr style=\"height: 25px;\">\n<td style=\"width: 52.03527815468114%; text-align: center; height: 25px;\"><span style=\"font-family: Arial;\"><b>Time History<\/b><\/span><\/td>\n<td style=\"width: 47.96472184531886%; text-align: center; height: 25px;\"><span style=\"font-family: Arial;\"><b>Frequency Response Functions<\/b><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"width: 737px;\" border=\"1\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td style=\"vertical-align: middle; width: 367.53125px;\" valign=\"top\">&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4796\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_02_time.gif\" alt=\"\" width=\"313\" height=\"104\" \/><\/p>\n<p>&nbsp;<\/td>\n<td style=\"vertical-align: middle; width: 337.484375px;\" valign=\"top\">&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4797\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_02_freq.gif\" alt=\"\" width=\"276\" height=\"236\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<table style=\"width: 693px;\" border=\"1\" width=\"700\">\n<tbody>\n<tr>\n<td style=\"width: 723px;\"><center><em><span style=\"font-size: 18pt;\"><b>Frequency of excitation near resonance<\/b><\/span><\/em><\/center>The response is nearly 90 degrees out of phase with the excitation and the amplitude of response is large.<\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4791\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_1.gif\" alt=\"\" width=\"586\" height=\"106\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 43.77593360995851%; text-align: center;\"><span style=\"font-family: Arial;\"><b>Time History<\/b><\/span><\/td>\n<td style=\"width: 56.22406639004149%; text-align: center;\"><span style=\"font-family: Arial;\"><b>Frequency Response Functions<\/b><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"width: 723px;\" border=\"1\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td style=\"width: 297.25px; vertical-align: middle;\" valign=\"top\"><center><span style=\"font-family: Arial;\"><b><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4792\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_1_time.gif\" alt=\"\" width=\"313\" height=\"104\" \/><\/b><\/span><\/center><\/td>\n<td style=\"width: 393.765625px; text-align: center; vertical-align: top;\" valign=\"top\"><center><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4793\" style=\"font-family: inherit; font-size: inherit;\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_1_freq.gif\" alt=\"\" width=\"276\" height=\"236\" \/><\/center><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<table style=\"width: 705px;\" border=\"1\" width=\"700\">\n<tbody>\n<tr>\n<td style=\"width: 705px;\"><center><em><span style=\"font-size: 18pt;\"><b>Large frequency of excitation<\/b><\/span><\/em><\/center>The response is 180 degrees out of phase with the excitation and the amplitude of response is small.<\/p>\n<p><center><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4828\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_3.gif\" alt=\"\" width=\"586\" height=\"106\" \/><\/center><center><\/center>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 47.44360902255639%; text-align: center;\"><span style=\"font-family: Arial;\"><b>Time History<\/b><\/span><\/td>\n<td style=\"width: 52.55639097744361%; text-align: center;\"><span style=\"font-family: Arial;\"><b>Frequency Response Functions<\/b><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"width: 705px;\" border=\"1\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td style=\"width: 313.125px;\" valign=\"top\"><center><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4829\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_3_time.gif\" alt=\"\" width=\"313\" height=\"104\" \/><\/center>&nbsp;<\/p>\n<p>&nbsp;<\/td>\n<td style=\"width: 359.890625px;\" valign=\"top\"><center><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4830\" src=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/w_3_freq.gif\" alt=\"\" width=\"277\" height=\"236\" \/><\/center><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Single DOF Steady-State Response due to Harmonic Excitation &nbsp; &nbsp; Frequency of excitation near zero&nbsp; The response is in phase with the excitation and the amplitude of response approaches the static response. &nbsp; Time History Frequency Response Functions &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Frequency of excitation near resonanceThe response is nearly 90 degrees &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/chapter-iv-animations\/sdof-harmonic-response\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">SDOF harmonic 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-4787","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/pages\/4787","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=4787"}],"version-history":[{"count":10,"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/pages\/4787\/revisions"}],"predecessor-version":[{"id":4833,"href":"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-json\/wp\/v2\/pages\/4787\/revisions\/4833"}],"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=4787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}