Estimates for Divergence Velocities of Axially Moving Orthotropic Thin Plates
Saksa, T., & Jeronen, J. (2015). Estimates for Divergence Velocities of Axially Moving Orthotropic Thin Plates. Mechanics Based Design of Structures and Machines: An International Journal, 43 (3), 294-313. doi:10.1080/15397734.2014.987788
Date
2015Discipline
TietotekniikkaCopyright
© Taylor & Francis. This is an author's final draft version of an article whose final and definitive form has been published in by Taylor & Francis.
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.