6533b824fe1ef96bd12813a3

RESEARCH PRODUCT

Dynamic Analysis for Axially Moving Viscoelastic Poynting–Thomson Beams

Juha JeronenTytti Saksa

subject

PhysicsPoynting vectorPhysics::Accelerator PhysicsMechanicsStandard linear solid modelAxial symmetryStability (probability)InstabilityEigenvalues and eigenvectorsViscoelasticityBeam (structure)

description

This paper is concerned with dynamic characteristics of axially moving beams with the standard linear solid type material viscoelasticity. We consider the Poynting–Thomson version of the standard linear solid model and present the dynamic equations for the axially moving viscoelastic beam assuming that out-of-plane displacements are small. Characteristic behaviour of the beam is investigated by a classical dynamic analysis, i.e., we find the eigenvalues with respect to the beam velocity. With the help of this analysis, we determine the type of instability and detect how the behaviour of the beam changes from stable to unstable.

yearjournalcountryeditionlanguage
2015-10-08
https://doi.org/10.1007/978-3-319-23564-6_9