{"id":16681,"date":"2016-11-18T06:29:14","date_gmt":"2016-11-18T06:29:14","guid":{"rendered":"http:\/\/www.safetyangel.com\/recdev\/?page_id=16681"},"modified":"2016-11-18T06:43:59","modified_gmt":"2016-11-18T06:43:59","slug":"weibull-example-4-degradation-analysis-example","status":"publish","type":"page","link":"http:\/\/www.safetyangel.com\/recdev\/weibull-example-4-degradation-analysis-example\/","title":{"rendered":"Weibull++ Example 4 &#8211; Degradation Analysis Example"},"content":{"rendered":"<div id=\"dt_row_1177728986424\" class=\"clearfix dt_row\"><div id=\"dt_column_2\" class=\"dt_column col-sm-12\"><div id=\"dt_row_3177728986454\" class=\"row dt_row\"><div id=\"dt_column_4\" class=\"dt_column col-sm-6\"><div id=\"dt_row_5177728986486\" class=\"row dt_row title-blck\"><div id=\"dt_column_6\" class=\"dt_column col-sm-12\"><div id=\"dt-section-head-7\" class=\"dt-section-head center  size-custom\">\r\n              <div><h2 style=\"color:#ffffff;font-size:35px\" class=\"section-main-title\">Weibull++ Example 4 - Degradation Analysis Example<\/h2><\/div><\/div><\/div><\/div><\/div><div id=\"dt_column_8\" class=\"dt_column col-sm-6\"><\/div><\/div><div id=\"dt_row_9177728986470\" class=\"row dt_row\"><div id=\"dt_column_10\" class=\"dt_column col-sm-5\"><\/div><div id=\"dt_column_11\" class=\"dt_column col-sm-7\"><div id=\"dt_row_12177728986473\" class=\"row dt_row\"><div id=\"dt_column_13\" class=\"dt_column col-sm-12\"><div id=\"dt_text14177728986468\" class=\"dt_text\">\n<h3><span style=\"color: #000000; font-size: 1em;\">Examples provided here are purely for illustrating software features and functionality.<\/span><\/h3>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><div id=\"dt_row_15177728986460\" class=\"clearfix dt_row\"><div id=\"dt_column_16\" class=\"dt_column col-sm-12\"><div id=\"dt_row_17177728986461\" class=\"row dt_row\"><div id=\"dt_column_18\" class=\"dt_column col-sm-12\"><div id=\"dt_row_19177728986447\" class=\"row dt_row\"><div id=\"dt_column_20\" class=\"dt_column col-sm-1\"><\/div><div id=\"dt_column_21\" class=\"dt_column col-sm-5\"><div id=\"dt_text22177728986436\" class=\"dt_text\">\n<h3><span style=\"color: #0093d5;\">Weibull++ Example 4 &#8211; Degradation Analysis Example<\/span><\/h3>\n<p><b>Download Example File for <a href=\"http:\/\/www.reliasoft.com\/alta\/examples\/rc1\/alta_example_1_V10.rsgz10\" download=\"\">Version 10 (*.rsgz10)<\/a> or <a href=\"http:\/\/www.reliasoft.com\/alta\/examples\/rc1\/alta_example_1_V9.rsr9\" download=\"\">Version 9 (*.rsr9)<\/a><\/b><\/p>\n<h3><span style=\"color: #0093d5;\">Background<\/span><\/h3>\n<p>Five turbine blades were tested for crack propagation. The test units were cyclically stressed and inspected every 100,000 cycles for crack length. Failure is defined as a crack of length 30 mm or greater.<\/p>\n<p>Using Weibull++&#8217;s degradation analysis folio and Quick Calculation Pad (QCP), determine the B10 life for the blades using <a href=\"http:\/\/www.reliawiki.org\/index.php\/Degradation_Data_Analysis\" target=\"_blank\">degradation analysis<\/a>with an exponential model for the extrapolation.<\/p>\n<h3><span style=\"color: #0093d5;\">Experiment and Data<\/span><\/h3>\n<p>The following table shows the test results for the five units at each cycle.<\/p>\n<\/div><div id=\"dt_text23177728986457\" class=\"dt_text\">\n<table border=\"1\" width=\"438\" cellspacing=\"0\" cellpadding=\"2\" align=\"center\">\n<tbody>\n<tr>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">Cycle (x100)<\/span><\/b><\/td>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">Unit A<\/span><\/b><\/td>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">Unit B<\/span><\/b><\/td>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">Unit C<\/span><\/b><\/td>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">Unit D<\/span><\/b><\/td>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">Unit E<\/span><\/b><\/td>\n<\/tr>\n<tr>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">100<\/span><\/b><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">15 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">10 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">17 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">12 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">10 mm<\/span><\/td>\n<\/tr>\n<tr>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">200<\/span><\/b><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">20 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">15 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">25 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">16 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">15 mm<\/span><\/td>\n<\/tr>\n<tr>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">300<\/span><\/b><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">22 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">20 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">26 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">17 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">20 mm<\/span><\/td>\n<\/tr>\n<tr>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">400<\/span><\/b><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">26 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">25 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">27 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">20 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">26 mm<\/span><\/td>\n<\/tr>\n<tr>\n<td align=\"center\"><b><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">500<\/span><\/b><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">29 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">30 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">33 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">26 mm<\/span><\/td>\n<td align=\"center\"><span style=\"font-family: Verdana, Arial, Helvetica, Geneva; font-size: small;\">33 mm<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div><\/div><div id=\"dt_column_24\" class=\"dt_column col-sm-5\"><div id=\"dt_text25177728986496\" class=\"dt_text\">\n<h3><span style=\"color: #0093d5;\">Analysis<\/span><\/h3>\n<p><b>Step 1:<\/b> Using Weibull++, create a degradation analysis folio and enter the data into the data sheet. Select <b>Exponential<\/b> for the model and enter <b>30<\/b> for the critical degradation level. These settings will be used to extrapolate a failure time for each unit. To specify how the failure times will be analyzed, select <strong>2P-Weibull<\/strong> for the life distribution and select <strong>MLE<\/strong> for the analysis method. After you calculate the folio, it will appear as shown next.<\/p>\n<\/div><div id=\"dt_image26\" class=\"dt_image\"><div class=\"image-align-center\"><img decoding=\"async\"  class=\"img-responsive style-default\" src=\"http:\/\/www.safetyangel.com\/recdev\/wp-content\/uploads\/2016\/11\/201.png\" alt=\"\"\/><\/div><\/div><div id=\"dt_text27177728986474\" class=\"dt_text\">\n<p style=\"text-align: center;\">Figure 1: Degradation folio with data and results.<\/p>\n<\/div><\/div><div id=\"dt_column_28\" class=\"dt_column col-sm-1\"><\/div><\/div><\/div><\/div><\/div><\/div><div id=\"dt_row_29177728986420\" class=\"clearfix dt_row\"><div id=\"dt_column_30\" class=\"dt_column col-sm-12\"><div id=\"dt_row_31177728986469\" class=\"row dt_row\"><div id=\"dt_column_32\" class=\"dt_column col-sm-12\"><div id=\"dt_row_33177728986457\" class=\"row dt_row\"><div id=\"dt_column_34\" class=\"dt_column col-sm-1\"><\/div><div id=\"dt_column_35\" class=\"dt_column col-sm-5\"><div id=\"dt_text36177728986418\" class=\"dt_text\">\n<p class=\"caption\">To view the parameters of the degradation model, click anywhere inside the <strong>Degradation Results <\/strong>area. The parameters will appear in the Results window, as shown next. (The second tab of the Results window shows the failure times that were extrapolated from the model.)<\/p>\n<\/div><div id=\"dt_image37\" class=\"dt_image\"><div class=\"image-align-center\"><img decoding=\"async\"  class=\"img-responsive style-default\" src=\"http:\/\/www.safetyangel.com\/recdev\/wp-content\/uploads\/2016\/11\/202.png\" alt=\"\"\/><\/div><\/div><div id=\"dt_text38177728986476\" class=\"dt_text\">\n<p class=\"caption\" style=\"text-align: center;\">Figure 2: Results window showing the parameters of the degradation model.<\/p>\n<\/div><\/div><div id=\"dt_column_39\" class=\"dt_column col-sm-5\"><div id=\"dt_text40177728986432\" class=\"dt_text\">\n<p class=\"caption\" style=\"text-align: left;\"><b>Step 2:<\/b> Next, view the linear Degradation vs. Time plot for the degradation analysis, as shown next. This plot shows how each unit degraded over time, and the horizontal pink line indicates the level at which a unit is considered failed.<\/p>\n<\/div><div id=\"dt_image41\" class=\"dt_image\"><div class=\"image-align-center\"><img decoding=\"async\"  class=\"img-responsive style-default\" src=\"http:\/\/www.safetyangel.com\/recdev\/wp-content\/uploads\/2016\/11\/203.png\" alt=\"\"\/><\/div><\/div><div id=\"dt_text42177728986441\" class=\"dt_text\">\n<p class=\"caption\" style=\"text-align: center;\">Figure 3: Degradation vs. Time (Linear) plot.<\/p>\n<\/div><\/div><div id=\"dt_column_43\" class=\"dt_column col-sm-1\"><\/div><\/div><div id=\"dt_row_44177728986473\" class=\"row dt_row\"><div id=\"dt_column_45\" class=\"dt_column col-sm-1\"><\/div><div id=\"dt_column_46\" class=\"dt_column col-sm-5\"><div id=\"dt_text47177728986498\" class=\"dt_text\"><b>Step 3:<\/b> Return to the data sheet, and then view the results of the life data analysis on the extrapolated failure times by clicking anywhere inside the <strong>Life Data Results <\/strong>area.<\/div><div id=\"dt_image48\" class=\"dt_image\"><div class=\"image-align-center\"><img decoding=\"async\"  class=\"img-responsive style-default\" src=\"http:\/\/www.safetyangel.com\/recdev\/wp-content\/uploads\/2016\/11\/204.png\" alt=\"\"\/><\/div><\/div><div id=\"dt_text49177728986440\" class=\"dt_text\">\n<p style=\"text-align: center;\">Figure 4: Results of life data analysis on the extrapolated failure times.<\/p>\n<\/div><\/div><div id=\"dt_column_50\" class=\"dt_column col-sm-5\"><div id=\"dt_text51177728986479\" class=\"dt_text\">\n<p class=\"caption\" style=\"text-align: left;\"><b>Step 4:<\/b> Using the QCP, the B10 life is calculated to be 392.9179 (x100) cycles, as shown next.<\/p>\n<\/div><div id=\"dt_image52\" class=\"dt_image\"><div class=\"image-align-center\"><img decoding=\"async\"  class=\"img-responsive style-default\" src=\"http:\/\/www.safetyangel.com\/recdev\/wp-content\/uploads\/2016\/11\/205.png\" alt=\"\"\/><\/div><\/div><div id=\"dt_text53177728986413\" class=\"dt_text\">\n<p style=\"text-align: center;\">Figure 5: Using the QCP to calculate the B10 life.<\/p>\n<\/div><\/div><div id=\"dt_column_54\" class=\"dt_column col-sm-1\"><\/div><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"fullwidth.php","meta":{"footnotes":""},"class_list":["post-16681","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/pages\/16681","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/comments?post=16681"}],"version-history":[{"count":7,"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/pages\/16681\/revisions"}],"predecessor-version":[{"id":16697,"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/pages\/16681\/revisions\/16697"}],"wp:attachment":[{"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/media?parent=16681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}