Analysis Of Non-Uniformly Prestressed Tapered Beams With Exponentially Varying Thickness Resting On Vlasov Foundation Under Variable Harmonic Load

In this paper the motion of non-uniformly prestressed tapered beams with exponentially varying thickness resting on Vlasov foundation under variable harmonic load moving with constant velocity is investigated. The governing equation is a fourth order partial differential equation. The solution technique is based on the method of Galerkin with series representation of Heaviside function Strubles asymptotic method and Laplace transformation technique in conjunction with convolution theory. The result shows that an increase in the values of the structural parameters such as foundation stiffnesses axial force moment of inertia of the beam and exponential factor reduces the response amplitude of the beam for the dynamic problem. Furthermore it is found that the moving force solution is not always an upper bound for the accurate solution for the non-uniformly prestressed tapered beams.