FEEDFORWARD SEMI-ACTIVE MODEL-BASED CONTROL OF A PLATE CARRYING CONCENTRATED MASSES

• Main Authors: Vitalii Makarenko, Werner Hufenbach, Niels Modler, Martin Dannemann, Vadim Tokarev
• Format: Article
• Language: English
• Published: National Aviation University 2013-10-01
• Series: Vìsnik Nacìonalʹnogo Avìacìjnogo Unìversitetu
• Subjects: concentrated mass; feedforward control; semi-active method; vibration of plates
• Online Access: http://jrnl.nau.edu.ua/index.php/visnik/article/view/5431

<!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Normal</w:View> <w:Zoom>0</w:Zoom> <w:PunctuationKerning /> <w:ValidateAgainstSchemas /> <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid> <w:IgnoreMixedContent>false</w:IgnoreMixedContent> <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText> <w:Compatibility> <w:BreakWrappedTables /> <w:SnapToGridInCell /> <w:WrapTextWithPunct /> <w:UseAsianBreakRules /> <w:DontGrowAutofit /> </w:Compatibility> <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel> </w:WordDocument> </xml><![endif]--><em style="mso-bidi-font-style: normal;"><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; color: black; mso-ansi-language: EN-US; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-US">The multiobjective task of </span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; mso-ansi-language: EN-GB; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-GB">optimal control of vibration response</span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; color: black; mso-ansi-language: EN-US; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-US"> of an </span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; mso-ansi-language: EN-GB; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-GB">elastic</span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; color: black; mso-ansi-language: EN-US; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-US"> plate is considered. </span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; mso-ansi-language: EN-GB; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-GB">An application of a genetic algorithm for </span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; mso-ansi-language: EN-US; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-US">determination of</span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; mso-ansi-language: EN-GB; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-GB"> the optimum compensating force frequency dependence and parameters of concentrated masses for different boundary conditions is described. The principle of virtual work and Ritz approach are employed for investigation of dynamic behaviour of mass-loaded plates</span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; mso-ansi-language: EN-GB; mso-fareast-language: JA; mso-bidi-language: AR-SA;" lang="EN-GB">, which are</span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; mso-ansi-language: EN-GB; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-GB"> subjected to any number of forces. The optimisation problem is formulated as a constrained task. O<span style="color: black;">ptimization</span></span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; color: black; mso-ansi-language: EN-US; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-US"> provided the reduction of both total acceleration level and compensating force.</span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; color: black; mso-ansi-language: EN-US; mso-fareast-language: JA; mso-bidi-language: AR-SA;" lang="EN-US"> </span><span style="font-size: 10.0pt; line-height: 115%; font-family: &quot;Times New Roman&quot;; mso-fareast-font-family: &quot;MS Mincho&quot;; mso-ansi-language: EN-GB; mso-fareast-language: RU; mso-bidi-language: AR-SA;" lang="EN-GB">Numerical results show the appropriateness of the model for optimization of concentrated masses values and their location on a plate. Interpolation of optimal compensating force parameters frequency dependence is used for the design of <a name="OLE_LINK2"></a><a name="OLE_LINK1"><span style="mso-bookmark: OLE_LINK2;">feedforward control </span></a>system.</span></em><!--[if gte mso 9]><xml> <w:LatentStyles DefLockedState="false" LatentStyleCount="156"> </w:LatentStyles> </xml><![endif]--><!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Обычная таблица"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} </style> <![endif]-->