{"id":162220,"date":"2023-01-25T07:34:37","date_gmt":"2023-01-25T07:34:37","guid":{"rendered":"\/knowledge\/forums\/topic\/how-to-create-a-psd-curve-from-time-history-input\/"},"modified":"2023-07-31T12:36:36","modified_gmt":"2023-07-31T12:36:36","slug":"how-to-create-a-psd-curve-from-time-history-input","status":"publish","type":"topic","link":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/how-to-create-a-psd-curve-from-time-history-input\/","title":{"rendered":"How to create a PSD curve from time history input?"},"content":{"rendered":"<p>Generally for generating a PSD curve we start with an input time history (velocity, displacement, or acceleration). Pass this history through a Fast Fourier Transform to get the frequency content of the time signal. Multiply the Fourier components by their conjugate transpose (this is where the &#8216;units^2&#8217; term comes from). Divide the coefficients by the frequency bin width.<\/p>\n","protected":false},"template":"","class_list":["post-162220","topic","type-topic","status-publish","hentry","topic-tag-4391","topic-tag-fast-fourier-transform","topic-tag-mechanical","topic-tag-psd-curve","topic-tag-response-spectrum","topic-tag-structural-dynamics","topic-tag-structural-mechanics"],"aioseo_notices":[],"acf":[],"custom_fields":[{"0":{"_wp_page_template":["default"],"_bbp_forum_id":["27792"],"_bbp_last_active_time":["1-24-2023  20:20:26"],"_bbp_author_ip":["23.56.168.180"],"_btv_view_count":["2457"],"siebel_km_number":["2055047"],"product_version":["19"],"km_published_date":["2018-06-25T14:40:28.000Z"],"family":["Structural Mechanics"],"application_name":["Mechanical"]},"test":"articlesansys-com"}],"_links":{"self":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics\/162220","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics"}],"about":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/types\/topic"}],"version-history":[{"count":0,"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics\/162220\/revisions"}],"wp:attachment":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/media?parent=162220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}