Dynamic response of a viscoelastic beam impacted by a viscoelastic sphere

Dynamic Response of an Axially Moving Viscoelastic Timoshenko Beam

In this paper, the dynamic response of an axially moving viscoelastic beam with simple supports is calculated analytically based on Timoshenko theory. The beam material property is separated to shear and bulk effects. It is assumed that the beam is incompressible in bulk and viscoelastic in shear, which obeys the standard linear model with the material time derivative. The axial speed is charac...

Dynamic Frictional Contact of a Viscoelastic Beam

Abstract. In this paper, we study the dynamic frictional contact of a viscoelastic beam with a deformable obstacle. The beam is assumed to be situated horizontally and to move, in both horizontal and tangential directions, by the effect of applied forces. The left end of the beam is clamped and the right one is free. Its horizontal displacement is constrained because of the presence of a deform...

A Survey on Buckling and Vibrations of a Viscoelastic Beam under Distributed Lateral and Axial Loads

In this paper, based on Kelvin and Linear Standard Solid models, dynamic response and the buckling load of a viscoelastic beam under  lateral and axial loads have been determined. The governing equations have been extracted using Euler  and Timoshenko theories and their analytical solutions have been obtained by using the eigenfunctions expansion method. Buckling load have been calculated by us...

The unsteady motion of a sphere in a viscoelastic fluid

Response function of a sphere in a viscoelastic two-fluid medium.

In order to address basic questions of importance to microrheology, we study the dynamics of a rigid sphere embedded in a model viscoelastic medium consisting of an elastic network permeated by a viscous fluid. We calculate the complete response of a single bead in this medium to an external force, and compare the result to the commonly-accepted, generalized Stokes-Einstein relation (GSER). We ...