Longitudinal vibrations of a beam: A gradient elasticity approach
The main purpose is to analyze the consequences of gradient elasticity theory on the simplest dynamical problems. First, the strain field in a straight bar subject to uniform tension is analyzed under various extra boundary conditions. It is shown that the strain distribution in the bar is non-homogeneous even when the tension is homogeneous, in contrast to the classical case. Then the longitudinal vibration of a bar under homogeneous boundary conditions is analyzed, and it is shown that the vibration modes contain not only travelling waves but also exponential end-effect terms.
scientific article; zbMATH DE number 865889