Dynamic study of viscoelastic rotor: a comparative study using analytical and finite element model considering higher-order system
Abstract
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.
- Publication:
-
Archive of Applied Mechanics
- Pub Date:
- August 2018
- DOI:
- 10.1007/s00419-018-1370-1
- Bibcode:
- 2018AAM....88.1243R
- Keywords:
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- Analytical model;
- Finite element model;
- Viscoelastic rotor;
- Effective mass;
- Effective diametral mass moment of inertia;
- Stability analysis