Archive of Applied Mechanics

, Volume 88, Issue 8, pp 1243–1261 | Cite as

Dynamic study of viscoelastic rotor: a comparative study using analytical and finite element model considering higher-order system

  • H. Roy
  • S. Chandraker


In the past, many researchers developed rotor models using either lump system or finite element approach, where material damping played a crucial role in dynamic behaviour. Such damping in any rotating structure triggers instability at the supercritical range. In most of the literatures, material damping has been incorporated either by frequency-independent hysteretic damping or frequency-dependent viscous damping, but these models are insufficient to estimate the dynamic characteristics of the system. The motivation for using general viscoelastic model arises from a need to capture the influence of both types of damping. Such type of modelling is done through operator-based constitutive relationship. The numerator and denominator of material modulus are a polynomial of differential time operator, and polynomial coefficients are known as a viscoelastic parameter. The operator-based constitutive relationship is further utilized to bring down higher-order equations of motion by using two different techniques, i.e. (a) analytical approach and (b) finite element approach.The shaft damping is tackled in such a manner that the dissipation effects can be considered through all coordinates. The significance of both approaches is explained with the help of stability and response analysis at various disc positions.


Analytical model Finite element model Viscoelastic rotor Effective mass Effective diametral mass moment of inertia Stability analysis 


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Institute of TechnologyRourkelaIndia
  2. 2.Department of Mechanical EngineeringIndian Institute of TechnologyHauz Khas, New DelhiIndia

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