A dynamic analysis on the effect of support excitations on vibrations behavior of symmetrical on-board rotor

Abstract

In this article, we study the influence of the excitations created by the support movement, on the vibratory behavior of the rotor. The modeling of the rotor system is done by the hierarchical polynomial (h-p) version of the finite element method, on an on-board rotor with movable non-deformable supports. The disk is supposed to be rigid; the shaft is deformable and it is treated with the theory of beams of Euler Bernoulli. The 3D beam element has two nodes and is used for the discretization of the rotor. The shape functions used are the cubic Hermit type which respect the boundary conditions in all directions and represent the h-version of the finite element method and are modified so that it can be combined with the K-orthogonal polynomial form functions for the use of the h-p version of the finite element method. The energy method is used to determine the kinetic energies, and deformation of rotor system. The equations of motion of the rotor system are determined by the Lagrange method. The analysis of the dynamic behavior of the orbits of the on-board rotor systems is studied using the implicit method of Newmark and Newton-Raphson. In this article, we make some examples to study the influence of the excitations of the mobile support on the rotor behavior.

Keywords:

• Rotors dynamics
• h-p version of finite elements
• on-board rotor
• support excitation
• unbalance

Data availability statement

The authors declare that the data are available within the article.

Disclosure statement

No potential conflict of interest was reported by the authors.