Comparison of 1D and 2D solutions for a beam under transverse impact

Comparison of 1D and 2D solutions for a beam under transverse impact

Blog Article

The problem of non-stationary vibration of an elastic beam caused by a transverse impact loading is studied in this work.In particular, two different approaches to the derivation of analytical solution Toy of the problem are compared.The first one is based on the Timoshenko beam theory, the latter one follows the exact two-dimensional theory.Both mentioned methods are used for finding the response of an infinite homogeneous isotropic beam.

The obtained analytical results are then compared and their agreement is discussed in Building Set relation to main factors, i.e.the beam geometry, the character of loading and times and points at which the beams responses are studied.