{"id":32,"date":"2012-03-30T21:48:00","date_gmt":"2012-03-31T02:48:00","guid":{"rendered":"http:\/\/charles-oneill.com\/blog\/?p=32"},"modified":"2014-07-31T11:17:08","modified_gmt":"2014-07-31T16:17:08","slug":"note-step-response-of-second-order-systems","status":"publish","type":"post","link":"https:\/\/charles-oneill.com\/blog\/note-step-response-of-second-order-systems\/","title":{"rendered":"Note: Step Response of Second Order Systems"},"content":{"rendered":"<div style=\"text-align: center;\">Step Responses of Second Order Systems<\/div>\n<div style=\"text-align: center;\">Charles O&#8217;Neill<\/div>\n<div style=\"text-align: center;\">ca. 1998<\/div>\n<p>Second order systems&nbsp;are fundamental to the analysis of systems with mass, stiffness and damping. This one-page note starts with the 2nd order characteristic equation and discusses three possible responses:&nbsp;over damped,&nbsp;critically damped, and&nbsp;under damped. The responses are given in the time domain.<\/p>\n<p><b>The one-page summary is available&nbsp;<a href=\"http:\/\/charles-oneill.com\/projects\/2ordrsys.pdf\">here<\/a>.&nbsp;<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Step Responses of Second Order Systems Charles O&#8217;Neill ca. 1998 Second order systems&nbsp;are fundamental to the analysis of systems with mass, stiffness and damping. This one-page note starts with the 2nd order characteristic equation and discusses three possible responses:&nbsp;over damped,&nbsp;critically damped, and&nbsp;under damped. The responses are given in the time domain. The one-page summary is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/32"}],"collection":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/comments?post=32"}],"version-history":[{"count":0,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/32\/revisions"}],"wp:attachment":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/media?parent=32"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/categories?post=32"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/tags?post=32"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}