{"id":4773,"date":"2019-08-11T21:54:11","date_gmt":"2019-08-12T01:54:11","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me563\/?page_id=4773"},"modified":"2021-09-02T16:10:54","modified_gmt":"2021-09-02T20:10:54","slug":"additional-solution-videos","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me563\/additional-solution-videos\/","title":{"rendered":"Additional solution videos"},"content":{"rendered":"<p>Included here are video solutions for a number of example problems that have not yet been included in the course lecturebook.<\/p>\n<p><span style=\"color: #0000ff\"><em><strong>Please use the threaded discussion below for your questions regarding this material.<\/strong><\/em><\/span><\/p>\n<p><strong><em>PROBLEM STATEMENTS<\/em><\/strong><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/er_ChI_examples.pdf\">Chapter I<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/er_ChII_examples.pdf\">Chapter II<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/er_ChIII_examples.pdf\">Chapter III<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/er_ChIV_examples.pdf\">Chapter IV<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/er_ChV_examples.pdf\">Chapter V<\/a><\/p>\n<hr \/>\n<p><strong><em>Chapter I: Deriving EOMs<\/em><\/strong><strong><br \/>\n<\/strong><a href=\"http:\/\/youtu.be\/BmOafvh29lg\">Example A1.1 -Newton<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/t2lMarH75bQ\">Example A1.2\u00a0&#8211; Newton<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/ARc6eRtudkM\">Example A1.3\u00a0&#8211; Newton<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA1_06.pdf\">Example A1.6\u00a0&#8211; gen. coords.<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA1_07.pdf\">Example A1.7\u00a0&#8211; Lagrange<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA1_08.pdf\">Example A1.8\u00a0&#8211; Lagrange<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA1_09.pdf\">Example A1.9\u00a0&#8211; Lagrange<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA1_10.pdf\">Example A1.10\u00a0&#8211; Lagrange<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA1_11.pdf\">Example A1.11\u00a0&#8211; linearized EOMs<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA1_12.pdf\">Example A1.12\u00a0&#8211; flexibility matrix<\/a><\/p>\n<hr \/>\n<p><em><strong>Chapter II: Free response of discrete systems<\/strong><\/em><br \/>\n<a href=\"http:\/\/youtu.be\/sUx0kn-qReU\">Example A2.1 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/oLE5jMIp7w8\">Example A2.2 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/l1zs-wyRXT0\">Example A2.3 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/EnLH97RHefc\">Example A2.4 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/08Di56qKppU\">Example A2.5 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/PNV2dm_ANYQ\">Example A2.6 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/cA6CxXo7jZM\">Example A2.7 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/MrRGu_huj8s\">Example A2.8 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/c8UvX59XtQk\">Example A2.9 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/FZ4DKNTp_RY\">Example A2.10 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/2SNxf_x6Ius\">Example A2.11 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/SosHJ3fsHZA\">Example A2.12 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/vY4lNVuVnFg\">Example A2.13 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/iF-Bp0Jvi7Y\">Example A2.14 &#8211; SDOF<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/MB9hsKtvDC8\">Example A2.15 &#8211; SDOF<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA2_16.pdf\">Example A2.16 &#8211; SDOF<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA2_17.pdf\">Example A2.17 &#8211; 2 DOF<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA2_18.pdf\">Example A2.18 &#8211; 3 DOF<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA2_19.pdf\">Example A2.19 &#8211; rigid body mode<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA2_20.pdf\">Example A2.20 &#8211; beating<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA2_21.pdf\">Example A2.21 &#8211; proportionally damped<\/a><\/p>\n<hr \/>\n<p><strong><em>Chapter III: Free response of continuous systems<br \/>\n<\/em><\/strong><a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA3_01.pdf\">Example A3.1 &#8211; rod<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA3_02.pdf\">Example A3.2 &#8211; 2nd order problems<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA3_03.pdf\">Example A3.3 &#8211; shaft<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA3_04.pdf\">Example A3.4 &#8211; bending beam<\/a><\/p>\n<hr \/>\n<p><em><strong>Chapter IV: Forced response<\/strong><\/em><br \/>\n<a href=\"http:\/\/youtu.be\/fccO6SMeGms\">Example A4.1 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/l8QUHhfyya8\">Example A4.2 &#8211; SDOF harmonic<\/a><br \/>\nExample A4.3 &#8211; SDOF harmonic<br \/>\n<a href=\"http:\/\/youtu.be\/4ESwwFe-F0k\">Example A4.4 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/Po2NSehZJoM\">Example A4.5 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/d4OKBqr_aYQ\">Example A4.6 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/KskpEUpJyZY\">Example A4.7 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/J2Brani1fSM\">Example A4.8 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/isr0GPzzVrI\">Example A4.9 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/Avek1hCiieM\">Example A4.10 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/bpizSPMSG9A\">Example A4.11 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"http:\/\/youtu.be\/az-zjwp48-U\">Example A4.12 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_13.pdf\">Example A4.13 &#8211; SDOF harmonic<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_14.pdf\">Example A4.14 &#8211; 2 DOF harmoni<\/a>c<br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_15.pdf\">Example A4.15 &#8211; 3 DOF harmonic<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_16.pdf\">Example A4.16 &#8211; Fourier series<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_17.pdf\">Example A4.17 &#8211; convolution integral<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_18.pdf\">Example A4.18 &#8211; convolution integral<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_19.pdf\">Example A4.19 &#8211; modal uncoupling<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_20.pdf\">Example A4.20 &#8211; modal uncoupling<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA4_21.pdf\">Example A4.21 &#8211; modal uncoupling<\/a><\/p>\n<hr \/>\n<p><strong><em>Chapter V: Applications and approximate methods<br \/>\n<\/em><\/strong><a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA5_01.pdf\">Example A5.1 &#8211; vibration isolation<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA5_02.pdf\">Example A5.2 &#8211; vibration absorption<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA5_03.pdf\">Example A5.3 &#8211; approximate natural frequency analysis<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA5_04.pdf\">Example A5.4 &#8211; shock response of multi-DOF system<\/a><br \/>\n<a href=\"https:\/\/www.purdue.edu\/freeform\/ervibrations\/wp-content\/uploads\/sites\/18\/2019\/01\/exampleA5_05.pdf\">Example A5.5 &#8211; shock response of continuous system<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Included here are video solutions for a number of example problems that have not yet been included in the course lecturebook. Please use the threaded discussion below for your questions regarding this material. PROBLEM STATEMENTS Chapter I Chapter II Chapter III Chapter IV Chapter V Chapter I: Deriving EOMs Example A1.1 -Newton Example A1.2\u00a0&#8211; Newton &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me563\/additional-solution-videos\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Additional solution videos<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-4773","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me563\/wp-json\/wp\/v2\/pages\/4773","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me563\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me563\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me563\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me563\/wp-json\/wp\/v2\/comments?post=4773"}],"version-history":[{"count":4,"href":"https:\/\/www.purdue.edu\/freeform\/me563\/wp-json\/wp\/v2\/pages\/4773\/revisions"}],"predecessor-version":[{"id":5143,"href":"https:\/\/www.purdue.edu\/freeform\/me563\/wp-json\/wp\/v2\/pages\/4773\/revisions\/5143"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me563\/wp-json\/wp\/v2\/media?parent=4773"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}