Aigul Nagimova
Nazarbayev University, Kazakhstan
Title: Vibration of an Elastic Beam on a Pasternak Foundation under a Moving Load
Biography
Biography: Aigul Nagimova
Abstract
The purpose of this investigation is to study the response, due to a moving load, of an Euler-Bernoulli beam resting on a Pasternak two-parameter elastic foundation. The beam is considered infinite in length, slender and with a constant cross-section, and, the load is assumed to be harmonic. The use of the Pasternak two-parameter foundation model is common in practical applications as it more accurately represents the continuous nature of the foundation. The foundation is modelled using transverse and rotational springs which takes into account foundation cohesion by a shear layer of incompressible vertical elements. To solve the governing equation, the double Fourier Transform is applied, and, to convert the frequency domain solution back to the time domain the Inverse Fast Fourier Transform (IFFT) is used. Numerical examples are used to characterize the effect of the moving load velocity on the dynamic displacement response of the beam for different Winkler and Pasternak foundation constants. The maximum deflections of the beam due to different load velocities are calculated as are the bending moment and shear force.