{"id":220,"date":"2023-02-06T21:03:37","date_gmt":"2023-02-06T21:03:37","guid":{"rendered":"https:\/\/academic.csuohio.edu\/romadyc\/?page_id=220"},"modified":"2023-02-06T21:03:37","modified_gmt":"2023-02-06T21:03:37","slug":"model-order-reduction","status":"publish","type":"page","link":"https:\/\/academic.csuohio.edu\/romadyc\/model-order-reduction\/","title":{"rendered":"Model Order Reduction"},"content":{"rendered":"

Model Order Reduction<\/h2>\n\n\n

RoMaDyC<\/a> \u00bb Areas of Research<\/a> \u00bb Dynamics and Control<\/a><\/p>\n\n\n\n

The finite element based models of most realistic systems produce too many<\/em> degrees of freedom – “too many” not only from the computational point of view (e.g.,<\/em> developing transient solutions), but also, what is even more important, from the parameter identification’s and system control’s points of view. The high order difficulty is basically common to all structural-dynamics problems but is particularly exacerbated in rotordynamics by presence of large concentrated damping forces and nonsymmetric stiffness and inertia matrices. In addition, the use of reduced-order models in monitoring and in feedback control schemes may lead to instability of control due to the excitation of unmodeled modes, an effect known as spillover<\/em>.<\/p>\n\n\n\n

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Hankel singular values for the rotor-bearing system<\/em><\/figcaption><\/figure>\n\n\n\n
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Transfer functions for full-order (96 states) and balanced-reduced (30 states) open-loop models<\/figcaption><\/figure>\n<\/div>\n\n\n
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Unbalance response for open- and closed-loop system
measured in x-direction at two different rotor stations.<\/figcaption><\/figure>\n<\/div>\n\n\n
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  1. Sawicki J.T. and Gawronski, W., 1997, “Balanced Model Reduction and Control of Rotor-Bearing Systems,” ASME Journal of Engineering for Gas Turbines and Power<\/em>, Vol. 119, pp. 456-463.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    RoMaDyC \u00bb Areas of Research \u00bb Dynamics and Control The finite element based models of most realistic systems produce too many degrees of freedom – “too many” not only from the computational point of view (e.g., developing transient solutions), but also, what is even more important, from the parameter identification’s and system control’s points of…<\/p>\n","protected":false},"author":37,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","footnotes":""},"class_list":["post-220","page","type-page","status-publish","hentry"],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/academic.csuohio.edu\/romadyc\/wp-json\/wp\/v2\/pages\/220","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/academic.csuohio.edu\/romadyc\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/academic.csuohio.edu\/romadyc\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/academic.csuohio.edu\/romadyc\/wp-json\/wp\/v2\/users\/37"}],"replies":[{"embeddable":true,"href":"https:\/\/academic.csuohio.edu\/romadyc\/wp-json\/wp\/v2\/comments?post=220"}],"version-history":[{"count":1,"href":"https:\/\/academic.csuohio.edu\/romadyc\/wp-json\/wp\/v2\/pages\/220\/revisions"}],"predecessor-version":[{"id":224,"href":"https:\/\/academic.csuohio.edu\/romadyc\/wp-json\/wp\/v2\/pages\/220\/revisions\/224"}],"wp:attachment":[{"href":"https:\/\/academic.csuohio.edu\/romadyc\/wp-json\/wp\/v2\/media?parent=220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}