EG260 Solutions-example_5

EG260 Solutions-example_5 - EG-260 @Avril Slone 2007 1 of 5...

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Unformatted text preview: EG-260 @Avril Slone 2007 1 of 5 EG -260 Dynamics I - Example Sheet5 -AnswersMultiple degree of freedom systems 1.Free Body Diagram First disk ( )1221111+=ttkkI&&( )2212111=++tttkkkI&&Second disk ( )12222=tkI&&221222=+ttkkI&&EOM in matrix form ( )( )21222121=+++ttttttkkkkkkII&&Substitute values from question EOM: 22=+kkkkII&&Natural frequencies det2=MK22det22=IkkkIkSo that 1(t)2(t)kt11 kt2(2- 1) EG-260 @Avril Slone 2007 2 of 5 ( )( ) ( )( )( )( )( )( )()322222222222222==+==IkIkkIkkIkkIkkkIkIkThus frequencies are: IkIk3or22==Mode shapes, for each frequency: [ ]2=AMK2222=AIkkkIkIk=21so that 221=AIkIkkkIkIkSimplifying 211==AAAkkkkLet A1=1 then A2= -1...
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EG260 Solutions-example_5 - EG-260 @Avril Slone 2007 1 of 5...

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