Dynamical Models of Axially Moving Rods with Tensile and Bending Stiffness. Issue 1 (2015)

• Record Type: Journal Article
• Authors: Steinboeck, A.; Baumgart, M.; Stadler, G.; Saxinger, M.; Kugi, A.
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 1(2015)
• Page Start: 598
• Page End: 603
• Publication Date: 2015
• Subjects: Axially moving continua -- Mechanical system -- Dynamic analysis -- Hamilton's principle -- Mathematical models -- Distributed parameter system -- Boundary value problem -- Integro-differential equation -- Nonlinear system -- Model reduction; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.05.041
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Many rods exhibit a coupling effect between axial and transversal displacements. Additional forces may be caused by a superimposed axial motion of the rod. We explore how these effects can be mathematically modeled using a rod with two local degrees of freedom. The resulting geometrically nonlinear model can be reduced to a system with just one local degree of freedom, i.e., the transverse displacement. These models are compared to commonly used modeling strategies where the rod is given just one local degree of freedom right at the beginning. Results from a numerical example complement the theoretical findings.