, D. C ., NGUYEN , H. H ., RAPOSO , C. A ., and MARANHAO , C. H. M . On the solutions for an extensible beam equation with internaldamping and source terms . Differ. Equ. Appl . 11 ( 2019 ), 367 – 377 .  SIMON , J . Compact sets in
Forrai L. Dynamic stability of internallydamped 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.
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 internaldamping of MR damper (MR