Finite element dynamic analysis of non-uniform beams on variable one-parameter foundation subjected to uniformly distributed moving loads

A general numerical analysis theory capable of describing the behaviour of a non-uniform beam resting on variable one parameter (Winkler) foundation under a uniform partially distributed moving load is developed. The versatile numerical solution technique employed is based on the finite element and Newmark integration methods. The analysis is carried out in order to evaluate the effect of the following parameters (i) the speed of the moving load (ii) the span length of the beam (iii) two types of vibrating configurations of the beam (iv) the load’s length and (v) the elastic foundation modulus, on the dynamic behaviour of the non-uniform beam resting on the variable one-parameter foundation. Numerical examples which showed that the above parameters have significant effects on the dynamic behaviour of the moving load problem are presented.