6533b838fe1ef96bd12a4907

RESEARCH PRODUCT

Estimates for Divergence Velocities of Axially Moving Orthotropic Thin Plates

Juha JeronenTytti Saksa

subject

axially movingPhysics::Instrumentation and DetectorsGeneral MathematicsAerospace EngineeringOcean EngineeringGeometry02 engineering and technologyOrthotropic material01 natural sciencesPhysics::Fluid Dynamics0203 mechanical engineering0103 physical sciencesorthotropicta216Divergence (statistics)010301 acousticsCivil and Structural EngineeringMathematicsTension (physics)Mechanical Engineeringkalvot (biologia)Flexural rigidityMechanicsstabilityPhysics::Classical PhysicsCondensed Matter Physicslautaset (astiat)020303 mechanical engineering & transportsplatesmembranesMechanics of MaterialsHomogeneousAutomotive EngineeringPlate theoryAxial symmetry

description

Some models for axially moving orthotropic thin plates are investigated analytically via methods of complex analysis to derive estimates for critical plate velocities. Linearised Kirchhoff plate theory is used, and the energy forms of steady-state models are considered with homogeneous and inhomogeneous tension profiles in the cross direction of the plate. With the help of the energy forms, some limits for the divergence velocity of the plate are found analytically. In numerical examples, the derived lower limits for the divergence velocity are analysed for plates with small flexural rigidity. peerReviewed

yearjournalcountryeditionlanguage
2014-11-21Mechanics Based Design of Structures and Machines
https://doi.org/10.1080/15397734.2014.987788