Response of a Beam on a Highly Elastic Foundation; Final rept

摘要

This report develops and analyzes the equations of motion of an infinite Euler-Bernoulli beam that is in contact with a set of periodic support beams. The support beams are modeled as Euler-Bernoulli beams in their transverse directions and modeled using the wave equation in their axial directions. This new formulation allows the support beam models to admit wave propagation so that the dynamic effects of a long foundation can be understood. Three different loading cases are analyzed and the results are discussed.