{"id":234596,"date":"2016-06-21T02:00:00","date_gmt":"2016-06-20T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=22ae77b74de9a131eb363bc38de80d06"},"modified":"2016-06-21T02:00:00","modified_gmt":"2016-06-20T23:00:00","slug":"measuring-nonlinear-oscillations-using-a-very-accurate-and-low-cost-linear-optical-positiontransducer","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=234596","title":{"rendered":"Measuring nonlinear oscillations using a very accurate and low-cost linear optical position\r\ntransducer"},"content":{"rendered":"<p>An accurate linear optical displacement transducer of about 0.2 mm resolution over a range of \u223c40 mm<br \/>\nis presented. This device consists of a stack of thin cellulose acetate strips, each strip<br \/>\nlongitudinally slid \u223c0.5 mm over the precedent one so that one end of the stack becomes a stepped<br \/>\nwedge of constant step. A narrowed light beam from a white LED orthogonally incident crosses the<br \/>\nwedge at a known point, the transmitted intensity being detected with a phototransistor whose<br \/>\nemitter is connected to a diode. We present the interesting analytical proof that the voltage across<br \/>\nthe diode is linearly dependent upon the ordinate of the point where the light beam falls on the<br \/>\nwedge, as well as the experimental validation of such a theoretical proof. Applications to nonlinear<br \/>\noscillations are then presented\u2014including the interesting case of a body moving under dry friction,<br \/>\nand the more advanced case of an oscillator in a quartic energy potential\u2014whose time-varying<br \/>\npositions wer&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An accurate linear optical displacement transducer of about 0.2 mm resolution over a range of \u223c40 mm<br \/>\nis presented. This device consists of a stack of thin cellulose acetate strips, each strip<br \/>\nlongitudinally slid \u223c0.5 mm over the precedent one so &#8230;<\/p>\n","protected":false},"author":1,"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-234596","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\/234596","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"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=234596"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/234596\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=234596"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=234596"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=234596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}