{"product_id":"stabilizing-gyroscopic-modes-in-magnetic-bearing-supported-nasa-technical-reports-server-ntrs-9781289252038","title":"Stabilizing Gyroscopic Modes in Magnetic-Bearing-Supported Flywheels by Using Cross-Axis Proportional Gains","description":"For magnetic-bearing-supported high-speed rotating machines with significant gyroscopic effects, it is necessary to stabilize forward and backward tilt whirling modes. Instability or low damping of these modes can prevent the attainment of desired shaft speed. We show analytically that both modes can be stabilized by using cross-axis proportional gains and high- and low-pass filters in the magnetic bearing controller. Furthermore, at high shaft speeds, where system phase lags degrade the stability of the forward-whirl mode, a phasor advance of the control signal can partially counteract the phase lag. In some range of high shaft speed, the derivative gain for the tilt modes (essential for stability for slowly rotating shafts) can be removed entirely. We show analytically how the tilt eigenvalues depend on shaft speed and on various controller feedback parameters.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Nasa Technical Reports Server (Ntrs),Gerald V. Brown\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1289252033\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781289252038\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Bibliogov\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/29\/2013\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 26\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.15lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.69h x 7.44w x 0.05d","brand":"Nasa Technical Reports Server (Ntrs)","offers":[{"title":"Paperback","offer_id":47611432075519,"sku":"9781289252038","price":14.75,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_017a9db3-3b7b-45c5-ac5f-a65537f30f00.jpg?v=1764513839","url":"https:\/\/www.whiterainbookhouse.com\/products\/stabilizing-gyroscopic-modes-in-magnetic-bearing-supported-nasa-technical-reports-server-ntrs-9781289252038","provider":"WR Book House","version":"1.0","type":"link"}