Dynamic analysis of thin circular plates excited by moving mass traveling on an orbiting path

In present study, dynamic analysis of thin circular plates under an orbiting load and mass by employing Boundary Characteristics Orthogonal Polynomials (BCOPs) would be explored. These polynomials would obviate the use of trigonometric or Bessel functions for the Rayleigh-Ritz method. BCOPs are widely utilized in plates with various geometries such as rectangular, circular, triangle and elliptic plates. The boundary conditions are applied to the first polynomial and the rests would be produced by the Gram-Schmidt process. In this regard, after verification of the accuracy and convergence rate of this method in evaluating the static response as well as the natural frequencies of the circular plates with simple and clamped boundary conditions, dynamic deflection of these plates excited by an orbiting load and mass. By introducing the vertical component of the orbiting load acceleration, the inertial effects of the moving load are investigated. The obtained results reveal the importance of the load inertia in dynamic response of the structure, especially near the resonant states.