Two mechanical models for an axially moving beam supported by discrete elastic springs are derived, analysed and compared. It is considered that the beam has a constant thickness, a predefined temperature distribution and a given transversal load. The first beam model applies global Ritz approximations for the spans with springs. Gauss integration points are used in longitudinal and transverse direction. The second beam model uses a conventional FE description. The thermal and pressure loads cause stresses, which lead to strain rates due to creep of the material so that a time dependent deformation between the elastic supports results. Here the axial motion is considered to be so slow so that inertia effects can be neglected. The axial transport of the inelastic creep-strains has been considered in the computation. The temperature field is constant and fixed in space. The deflection of the axially moving beam model is computed considering a variable number of spans separated by elastic springs. The computed results of the two mechanical models are compared for a beam with two spans.
Liquid steel solidifies within a containment of a continuous casting machine and moves in axial direction as the solidified shell is withdrawn towards the end of the machine. A mechanical model for computing the deformation of the solidifying steel in the roll containment is developed based on the beam theory and on a ferro-static pressure load. The material properties of the steel at high temperatures result from high temperature constitutive equations including creep for the solidified shell between the rolls. The temperature distribution within the solidified shell is computed based on the thermal boundary conditions as in the secondary cooling zone water is spread onto the surface of the steel shell and heat is removed. The solidified steel shell thickness increases along the machine containment up to the point of total solidification. A suitable discretization of the region by the finite beam elements is used to get a suitable mechanical model. The ferro-static pressure acts inside of the solidified shell and causes some bulging of the shell between the roll containment. As there is a slow axial motion of the solidifying shell the numerical modeling of the transport e.g. of heat and of the creep strain, which is computed in each time step, has to be as accurate as possible as a lot of time steps are necessary. Different numerical strategies have been analysed with respect to the accuracy of the computation results.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.