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, D. C ., NGUYEN , H. H ., RAPOSO , C. A ., and MARANHAO , C. H. M . On the solutions for an extensible beam equation with internal damping and source terms . Differ. Equ. Appl . 11 ( 2019 ), 367 – 377 . [16] SIMON , J . Compact sets in

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Forrai L. Dynamic stability of internally damped multibearing rotors using finite elements, IFTOMM, Proc. 7th Int. Conf. on Rotordynamics , Wien, Austria, 2006, Paper-ID 63 on CD-ROM Lalanne M., Ferraris G. Rotordynamics

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displacement form the characteristics of MR fluid. The studies done over the years on each model showed highlighted their limitation from not considering the hysteresis behavior of damper [ 8 ], [ 9 ], stiffness [ 10 ] and internal damping of MR damper (MR

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