ABSTRACT

Abstract

A method known as Mindlin Goodman’s was implored in transforming our inhomogeneous governing equation cum inhomogeneous bcs and Ics to homogeneous equations and Generalized Fourier integral transformation method were used to treat our dynamical problem. The moving force case of the system was first investigated for the dynamical response of the slender member under the action of moving load(s) leading to a closed form solution. More so, vibration of variable magnitude load moving with constant speed is observed for shear moduli, variable foundation, and axial force. The computed results of the structural parameters plotted in graphs reveals vividly visible effects of the stability of our dynamical system. Also established are the conditions by which our dynamical system experienced resonance phenomenon which is very essential in life and practical application or reality.

Keywords: Dynamic Response; moving force; moving mass; dynamical system.