Mass lumping, dispersive properties and bifurcation of Timoshenko’s flexural waves

The objective of this paper is to present an improved lumped mass model to solve Timoshenko’s flexural wave equation. The dispersive properties of finite element solution by using semi-discretizations of Timoshenko’s flexural wave equation, as well as bifurcations of the first- and second-spectra flexural waves illustrate a better performance of the proposed lumped mass model. Classic two-node cubic elements are taken into account. The Newmark average acceleration step-by-step integration method is used for solution. The attention is devoted to the evanescent first- and second-spectra waves.