{"id":558337,"date":"2024-11-05T18:20:44","date_gmt":"2024-11-05T18:20:44","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/esdu-810182012\/"},"modified":"2024-11-05T18:20:44","modified_gmt":"2024-11-05T18:20:44","slug":"esdu-810182012","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/esdu\/esdu-810182012\/","title":{"rendered":"ESDU 81018:2012"},"content":{"rendered":"<p>\n\tESDU 81018 provides graphical data and a computer program for<br \/>\nthe estimation of the lower natural frequencies of thick-walled<br \/>\nisotropic, circular cylinders based on the three-dimensional theory<br \/>\nof elasticity for hollow cylinders. The data on both flexural and<br \/>\ntorsional vibrations are applicable to initially unstressed,<br \/>\nisotropic shells having shear diaphragm end conditions. The<br \/>\ngeometric parameters and mode numbers for which the differences<br \/>\nbetween natural frequency given by the three-dimensional elastic<br \/>\ntheory and thin-shell theory are more than 1 per cent and 5 per<br \/>\ncent are indicated. General information is given on the flexural<br \/>\nand torsional modes of free vibration of thick-walled shells. The<br \/>\nthickness modes, which are not included in the model when shells<br \/>\nare modelled as thin-walled, are discussed. The variations of<br \/>\ndisplacements and stresses through the wall thickness, obtained<br \/>\nusing the computer program provided, are discussed and the effects<br \/>\nof Poisson&#039;s ratio on the natural frequencies are considered. To<br \/>\ngive guidance on the desirability of modelling shells as either<br \/>\nthin-walled or thick-walled, the range of applicability of<br \/>\nthin-shell theories is discussed and specific information is given<br \/>\nfor a wide range of shell geometries. A worked example, which<br \/>\nillustrates the application of these data, is given as well as the<br \/>\ncomputer output for this example. The program is available as<br \/>\nESDUpac A8118.\n\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>Natural Frequencies of Thick-Walled Isotropic Circular-Cylindrical Shells (Shear Diaphragm End Conditions)<\/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>2012-12<\/td>\n<td>38<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":558346,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2675],"product_tag":[],"class_list":{"0":"post-558337","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\/558337","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\/558346"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=558337"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=558337"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=558337"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}