智能结构振动主动控制的刚性有限元法.pdf

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1、机床与液压Sep．2013HydromechatronicsEngineeringVo1．41No．18DOI：10．3969／j．issn．1001-3881．2013．18．017ActiveVibrationControlofIntelligentStructureUsingRigidFiniteElementMethodGUBin，JIANKailinJ．SchoolofArchitectureandCivilEngineering，XihuaUniversity，Chengdu610039，China；2．ChongqingKeyLaboratoryofHeterogene

2、ousMaterialMechanics，Chongqing，Chongqing400044，ChinaAbstract：TheIimitationsofclassicFiniteElementMethodarediscussedfirstinthispaper．Therigidfiniteelementmethodisintroducedsimplyandtheequationofbeamsisestablisedbyusingrigidfiniteelement．Byusingrigidfiniteelementstodispersetheelasticbody，basedonK

3、ane’sequation，Thedynamicequationofamovingelasticbodyandthecontrollingequationaredeve1．oped．Byusinglocallinearideal，Theactivevibrationcontrolwasappliedtoamovingelasticbody．ThesimulationoftheactivevibrationcontroIofapiezoelectricelasticstructurea~achedtoamovingrigidbodyhasbeendone，theresultisvery

4、good．Keywords：movingstructure，elasticbeam，activevibrationcontrol，Therigidfiniteelementmethodwanttoobtainstrainsandstresses。theshape—func．1．Introductiontionwillbederivatedtwotimeswithcoordinates，sothecomputingaccuracyofstrainsandstresseswillbeForthedynamicresponsesofastructurewhichdecreased．Inot

5、herhand．itisnotconsideredinincludesmainlylowerordermodes，byusingclassicclassicfiniteelementmethodthatmovingelasticbodyfiniteelementmethod，thecomputingaccuracyofdy-willcauserigid—flexibleeffectanddynamicstiffening．namicdisplacements、dynamicstrainsandstressesaresotherearebigerrorbetweenthecorrect

6、resultsandveryhigh．However，foramovingelasticbody，thethecomputingresultsofstrainsandstressesbyusingcomputingaccuracyofdynamicdisplacementsmaybefiniteelementmethod．high，butthecomputingaccuracyofitsdynamicAsallknow，fortheactivevibrationcontrolofastrainsandstressesaredifferentfromthecorrectre—piezo

7、electricintelligentstructure，thesignalsthatpi—suhs．ezoelectricactuatorsobtainaresignalsofstrains．TheThereasonforcausingtheresultsisthatthedesignofactuatorsisveryimportantinactivevibra．staticshape—functionisstillusedindynamicsoftio