{"id":16765,"date":"2016-11-18T08:10:57","date_gmt":"2016-11-18T08:10:57","guid":{"rendered":"http:\/\/www.safetyangel.com\/recdev\/?page_id=16765"},"modified":"2016-11-18T08:15:59","modified_gmt":"2016-11-18T08:15:59","slug":"weibull-example-11-failure-modes-rbd-analysis","status":"publish","type":"page","link":"http:\/\/www.safetyangel.com\/recdev\/weibull-example-11-failure-modes-rbd-analysis\/","title":{"rendered":"Weibull++ Example 11 – Failure Modes RBD Analysis"},"content":{"rendered":"
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Weibull++ Example 11 - Failure Modes RBD Analysis<\/h2><\/div><\/div><\/div><\/div><\/div>
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Examples provided here are purely for illustrating software features and functionality.<\/span><\/h3>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div>
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Weibull++ Example 11 – Failure Modes RBD Analysis<\/span><\/h3>\n

Download Example File for Version 10 (*.rsgz10)<\/a> or Version 9 (*.rsr9)<\/a><\/b><\/p>\n

Background<\/span><\/h3>\n

A particular component can fail due to six independent primary failure modes: A, B, C, D, E and F. The component fails if mode A, B or C occurs. If mode D, E or F occurs alone, the component does not fail; however, the component will fail if any two (or more) of these modes occur (i.e., D and E; D and F; E and F). The objective is to analyze each failure mode using the 2-parameter Weibull distribution with MLE and to determine the lower 1-sided 90% confidence bound on the reliability of this component at 100 hours.<\/p>\n

Experiment and Data<\/span><\/h3>\n

An independent test on each failure mode is conducted. The following tables record the times-to-failure data of each mode (in hours).<\/p>\n<\/div>

\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Mode A<\/strong><\/td>\n<\/td>\nMode B<\/strong><\/td>\n<\/td>\nMode C<\/strong><\/td>\n<\/tr>\n
Number
\nin Group<\/strong><\/td>\n		State<\/strong><\/td>\nTime<\/strong><\/td>\n<\/td>\nNumber
\nin Group<\/strong><\/td>\n		State<\/strong><\/td>\nTime<\/strong><\/td>\n<\/td>\nNumber
\nin Group<\/strong><\/td>\n		State<\/strong><\/td>\nTime<\/strong><\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n1144<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n19<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n2221<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n1719<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n140<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n2257<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n2129<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n292<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n2569<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n2803<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n432<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n3029<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n3020<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n528<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n3805<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n3082<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n552<\/td>\n<\/td>\n10<\/td>\nS<\/td>\n5000<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n3589<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n605<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n3973<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n734<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n4337<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n779<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n5011<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n874<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n5029<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
18<\/td>\nS<\/td>\n5500<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Mode D<\/strong><\/td>\n<\/td>\nMode E<\/strong><\/td>\n<\/td>\nMode F<\/strong><\/td>\n<\/tr>\n
Number
\nin Group<\/strong><\/td>\n		State<\/strong><\/td>\nTime<\/strong><\/td>\n<\/td>\nNumber
\nin Group<\/strong><\/td>\n		State<\/strong><\/td>\nTime<\/strong><\/td>\n<\/td>\nNumber
\nin Group<\/strong><\/td>\n		State<\/strong><\/td>\nTime<\/strong><\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n1063<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n1290<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n605<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n1085<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n2261<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n760<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n1399<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n2355<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n773<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n1445<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n3209<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n854<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n1550<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n3284<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n890<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n2056<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n3394<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n1165<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n4384<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n3596<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n1220<\/td>\n<\/tr>\n
1<\/td>\nF<\/td>\n4863<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n4203<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n1320<\/td>\n<\/tr>\n
8<\/td>\nS<\/td>\n5000<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n4254<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n1967<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n4294<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n2606<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n4420<\/td>\n<\/td>\n1<\/td>\nF<\/td>\n2834<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n10<\/td>\nS<\/td>\n5000<\/td>\n<\/td>\n15<\/td>\nS<\/td>\n3000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div><\/div>
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Analysis<\/span><\/h3>\n

Step 1:<\/b> Create a new Weibull++ standard folio data sheet that holds grouped times-to-failure data with suspensions.<\/p>\n

Step 2:<\/b> Rename the folio to “Component” and the data sheet to “A.” Enter the data given for Failure Mode A and use the 2-parameter Weibull distribution with MLE to calculate the parameters, as shown next.<\/p>\n<\/div>

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Figure 1: Data sheet A with data entered and results shown.<\/p>\n<\/div>

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Step 3:<\/b> Insert another data sheet into the folio by choosing Life Data > Folio Sheets > Insert Data Sheet<\/b>. Rename the new data sheet to “B,” enter the data given for Failure Mode B and calculate the parameters. Repeat for the remaining failure modes.<\/p>\n

Step 4:<\/b> Add a diagram to the project by choosing Insert > Tools > Diagram<\/strong>. Click the Data Sheets<\/b> page of the diagram control panel. All the calculated data sheets in the project will be shown. Drag a data sheet onto the diagram to create a block that represents that data sheet.<\/p>\n<\/div><\/div>

<\/div><\/div><\/div><\/div><\/div><\/div>
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Figure 1: Degradation analysis folio.<\/p>\n

The following plot shows the exponential curves for six of the tested samples (with the scaling adjusted to Y= 40 to 100 and X= 0 to 20).<\/p>\n<\/div>

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Figure 2: Data Sheets page of the diagram control panel.<\/p>\n<\/div><\/div>

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Step 5:<\/b> Build the RBD that describes the reliability-wise configuration of the failure modes. To add a node that requires that 2 out of 3 paths must function for the system to function, choose Diagram > Diagram Tools > Add Node<\/strong>. Then double-click the node to specify the number of required paths.<\/p>\n<\/div>

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Figure 3: Completed reliability block diagram.<\/p>\n<\/div><\/div>

<\/div><\/div><\/div><\/div><\/div><\/div>
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Step 6:<\/b> Return to the Main page of the diagram control panel, then click Calculate<\/b> to analyze the diagram. Use the Quick Calculation Pad to calculate the lower 1-sided 90% confidence bound on the reliability at 100 hours. The lower bound is estimated to be 82.23%, as shown next.<\/p>\n<\/div>

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Figure 4: Solving for the lower 90% 1-sided confidence bound on reliability at 100 hours.<\/p>\n<\/div><\/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-16765","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/pages\/16765","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=16765"}],"version-history":[{"count":2,"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/pages\/16765\/revisions"}],"predecessor-version":[{"id":16771,"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/pages\/16765\/revisions\/16771"}],"wp:attachment":[{"href":"http:\/\/www.safetyangel.com\/recdev\/wp-json\/wp\/v2\/media?parent=16765"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}