Dynamic analysis of Euler–Bernoulli beams by the time-dependent boundary element method formulation

This paper deals with the solution of the Euler–Bernoulli equation for dynamic bending of beams by the time-dependent Boundary Element Method formulation. Initially, an overview of the Euler–Bernoulli beam theory is presented. Next, the time-dependent fundamental solution is introduced and some of its properties are discussed. In the sequence, the integral formulation, obtained through a weighted residuals technique, is presented. Three different numerical implementations are proposed. Finally, the numerical results are compared with the available analytical solutions.