6533b831fe1ef96bd129913a
RESEARCH PRODUCT
Vibrations of a continuous web on elastic supports
Tero TuovinenE. V. MakeevNikolay BanichukAlexandr BarsukJuha JeronenSvetlana A. Ivanovasubject
Elastic beamGeneral MathematicsAerospace EngineeringOcean EngineeringRigidity (psychology)02 engineering and technologySection (fiber bundle)0203 mechanical engineeringCylinderLimit (mathematics)viscoelasticityCivil and Structural EngineeringPhysicsta214Analytical expressionsMechanical EngineeringMathematical analysista111021001 nanoscience & nanotechnologyCondensed Matter Physicsstructural dynamicstärinäVibration020303 mechanical engineering & transportsClassical mechanicsMechanics of MaterialsBounded functionAutomotive Engineeringelasticitydynamics of machinesvibration0210 nano-technologydescription
We consider an infinite, homogenous linearly elastic beam resting on a system of linearly elastic supports, as an idealized model for a paper web in the middle of a cylinder-based dryer section. We obtain closed-form analytical expressions for the eigenfrequencies and the eigenmodes. The frequencies increase as the support rigidity is increased. Each frequency is bounded from above by the solution with absolutely rigid supports, and from below by the solution in the limit of vanishing support rigidity. Thus in a real system, the natural frequencies will be lower than predicted by commonly used models with rigid supports. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-23 | Mechanics Based Design of Structures and Machines |