{"id":110092,"date":"2015-08-04T03:00:00","date_gmt":"2015-08-04T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=55a470fd29c513a915a1159137b9d9c8"},"modified":"2015-08-04T03:00:00","modified_gmt":"2015-08-04T00:00:00","slug":"mathematical-modelling-numerical-simulations-and-experimental-verification-of-bifurcation-dynamicsof-a-pendulum-driven-by-a-dc-motor","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=110092","title":{"rendered":"Mathematical modelling, numerical simulations and experimental verification of bifurcation dynamics\r\nof a pendulum driven by a dc motor"},"content":{"rendered":"<p>A mathematical model of a system consisting of a dc motor, mechanism converting the rotational<br \/>\nmotion to the linear one and a single physical pendulum with the joint horizontally driven is<br \/>\ndeveloped. Constant angular velocity of the crank is assumed. The parameters of the model are<br \/>\nestimated using the experimental data consisting of five solutions corresponding to the five<br \/>\ndifferent values of constant input voltage. Different versions of the mathematical model, with<br \/>\ndifferent details concerning friction and damping modelling, are tested. A good agreement between<br \/>\nreal and simulated behaviour of the system is obtained. Moreover the model is validated by testing<br \/>\nits ability to predict critical values of the bifurcation parameter.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A mathematical model of a system consisting of a dc motor, mechanism converting the rotational<br \/>\nmotion to the linear one and a single physical pendulum with the joint horizontally driven is<br \/>\ndeveloped. Constant angular velocity of the crank is assumed&#8230;.<\/p>\n","protected":false},"author":0,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-110092","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/110092","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=110092"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/110092\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=110092"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=110092"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=110092"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}