Harmonic Forcing of a Two-Segment Timoshenko Beam

Document Type

Book Chapter

Publication Date

5-31-2018

Publication Title

Special Topics in Structural Dynamics

Abstract

This work treats the lateral harmonic forcing, with spatial dependencies, of a two-segment beam. The segments are compact so Timoshenko theory is employed. Initially the external transverse load is assumed to be spatially constant. The goal is the determination of frequency response functions. A novel approach is used, in which material and geometric discontinuities are modeled by continuously varying functions. Here logistic functions are used so potential problems with slope discontinuities are avoided. The approach results in a single set of ordinary differential equations with variable coefficients, which is solved numerically, for specific parameter values, using MAPLE®. Accuracy of the approach is assessed using analytic and assumed mode Rayleigh-Ritz type solutions. Free-fixed and fixed-fixed boundary conditions are treated and good agreement is found. Finally, a spatially varying load is examined. Analytic solutions may not be readily available for these cases thus the new method is used in the investigation.

Volume

5

First Page

1

Last Page

15

DOI

https://doi.org/10.1007/978-3-319-75390-4_1

Comments

ISBN: 978-3-319-75390-4

Rights

This is a RoMEO green journal - Must link to publisher version with DOI

© The Society for Experimental Mechanics, Inc. 2019

Link to Full Text

Share

COinS