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Dynamics of a two-layer beam with layer slip
Institution:1. Department of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign, 104 S. Wright St., 321E Talbot Lab. MC-236, Urbana, IL 61801, USA;2. Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;3. Division of Mechanics, National Technical University of Athens, GR-157 10 Zografos, Athens, Greece;1. Department of Exercise and Sport Science, Oregon State University, Corvallis, OR 97331, USA;2. Loyola University Medical Center, Maywood, IL 60153, USA;3. Department of Physical Therapy (MC 898), University of Illinois at Chicago, 1919 W. Taylor Street, Fourth Floor, Chicago, IL 60612, USA;1. Department of Civil Engineering, Jalpaiguri Government Engineering College, Jalpaiguri 735 102, India;2. Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology, Kharagpur 721 302, India
Abstract:A possible type of structural damping in mechanical systems when there is a distinct dependence of the oscillation decrement on the amplitude is investigated, using the example of the solution of a model problem on the oscillations of a two-layer beam. It is assumed that layer slip only occurs along the beam axis and that the layers together in the transverse direction. The interaction between the layers is of an elastic-friction form. The equations of motion of the beam in Timoshenko's form are numerically integrated using Godunov's difference scheme.
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