{"id":558461,"date":"2024-11-05T18:21:05","date_gmt":"2024-11-05T18:21:05","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/esdu-820372010\/"},"modified":"2024-11-05T18:21:05","modified_gmt":"2024-11-05T18:21:05","slug":"esdu-820372010","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/esdu\/esdu-820372010\/","title":{"rendered":"ESDU 82037:2010"},"content":{"rendered":"<p><strong>INTRODUCTION<\/strong><\/p>\n<p>The Fortran computer program presented in this Item may be used<br \/>\nto determine the response of any two-degree-of-freedom system with<br \/>\nconstant coefficients to any known applied forcing functions.<\/p>\n<p>The program is capable of dealing with any two-degree-of-freedom<br \/>\nsystem the description of which requires two independent<br \/>\ncoordinates and which can be described by two second-order constant<br \/>\ncoefficient differential equations. The independent coordinates are<br \/>\nthe dependent variables of the system.<\/p>\n<p>An applied input forcing function is allowed for each<br \/>\nsecond-order equation and to ease program input one of six possible<br \/>\ntypes of input function can be specified: zero, impulsive, step,<br \/>\ncosine, sine and an arbitrary input.<\/p>\n<p>The program evaluates the characteristic polynomial of the<br \/>\nsystem together with the roots of this equation from which the<br \/>\nmodes of response are found. For systems involving two second-order<br \/>\nequations the eigenvalues and corresponding eigenvectors are also<br \/>\nfound. For second-order (oscillatory) modes the natural frequency,<br \/>\ndamping ratio, period and time to half-amplitude are found and for<br \/>\nfirst-order modes only the time to half-amplitude is found. The<br \/>\ndependent variables of the system are then found for the specified<br \/>\ninput forcing function(s) using a step-by-step integration<br \/>\nroutine.<\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>The Response of Two-Degree-Of-Freedom Systems (Computer Program)<\/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>2010-06<\/td>\n<td>37<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":558471,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2675],"product_tag":[],"class_list":{"0":"post-558461","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\/558461","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\/558471"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=558461"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=558461"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=558461"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}