Modelling and analysis of viscoelastic laminated composite shaft: an operator-based finite element approach
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O R I G I NA L
K. Ganguly · H. Roy
Modelling and analysis of viscoelastic laminated composite shaft: an operator-based finite element approach
Received: 3 February 2020 / Accepted: 31 August 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The main purpose of this paper is to perform dynamic analysis of a viscoelastic laminated composite rotor shaft considering various asymmetries. Equivalent modulus theory (EMT) is employed to derive the finite element based mathematical model of the composite shaft considering the shear effect and compared with other method known as direct procedure technique (DPT). The material damping behaviour of the composite shaft is incorporated using operator-based approach, which leads to a higher-order model. Fibre-reinforced composite sample of single layer and 8 layer are fabricated and tested in dynamic mechanical analyser to obtain frequencydependent material data and viscoelastic parameters. EMT uses single layer properties, while modelling of DPT is done considering equivalent 8 layer sample. The closeness of numerical results between two methods proves the authentication of the applied EMT for modelling of damped heterogeneous laminated composite shaft. Keywords Viscoelastic composite shaft · Equivalent modulus theory · Direct procedure technique · Dynamic mechanical analyser
1 Introduction The shaft or rotor is a rotating module and plays major source of vibration in most of the machines. No rotating system can be completely vibration-free due to the presence of self and external excitations. Apart from balancing of rotors to avoid vibration, lesser density and proficient material damping mechanism of viscoelastic materials may be one of the alternatives to reduce excessive vibration [1]. The material damping of viscoelastic rotors is having a crucial property that generates a rotating damping force, which is proportional to rotor spin speed and operates tangentially to whirl orbit. After a certain spin speed, it destabilizes the rotor shaft system [2]. Thus, it is important to consider damping effect while modelling such rotor shaft system. Further, some research work focussed on studying the dynamics of rotor continuum considering general viscoelasticity are found in the literature. A 3-element rheological model was used to examine the dynamics of a viscoelastic rotor-shaft [3]. Afterward, a viscoelastic finite element rotor model was built by employing the idea of augmenting thermodynamic field to embody the constitutive relationship [4,5]. A new operator-based approach was put up to derive the finite element motion equation of viscoelastic rotor considering shear deformation effect [6]. This operator-based approach was further followed to derive several rotor models for both classical and finite element analysis [7–11]. K. Ganguly · H. Roy (B) Department of Mechanical Engineering, National Institute of Technology, Rourkela, Odisha 769008, India E-mail: [email protected] K. Ganguly E-mail: [email protected]
K. Ganguly, H. Roy
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