{"id":558596,"date":"2024-11-05T18:21:28","date_gmt":"2024-11-05T18:21:28","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/esdu-840321984\/"},"modified":"2024-11-05T18:21:28","modified_gmt":"2024-11-05T18:21:28","slug":"esdu-840321984","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/esdu\/esdu-840321984\/","title":{"rendered":"ESDU 84032:1984"},"content":{"rendered":"<p>\n\tESDU 84032 extends the use of the Describing Function method introduced in ESDU 84009 to include determining the response of a closed-loop system to a sinusoidal input. Two alternative methods are described. The first is essentially an analytical method based on finding the amplitude response of the input signal to the non-linear element. The second is essentially graphical, using a chart on a transparent overlay that applies to all such closed-loop systems and that is constructed from the known characteristics of the phasor diagram for such a system; superimposing this universally applicable transparent overlay on the characteristic of the Describing Function chosen to represent appropriately the non-linearity allows the closed loop response to be determined. The use of the two methods is illustrated with worked examples that include sketches of the closed-loop frequency response showing the phenomenon of jump resonance.\n\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>Nonlinear Systems: The Describing Function Method for Closed-Loop System Response<\/b><\/p>\n<table style=\"width: 100%\" border=\"0\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>Published By<\/td>\n<td>Publication Date<\/td>\n<td>Number of Pages<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/pdfstandards.shop\/product-category\/publishers\/esdu\/\"><b>ESDU<\/b><\/a><\/td>\n<td>1984-12<\/td>\n<td>30<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":558605,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2675],"product_tag":[],"class_list":{"0":"post-558596","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-esdu","8":"first","9":"instock","10":"sold-individually","11":"shipping-taxable","12":"purchasable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/558596","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/558605"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=558596"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=558596"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=558596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}