In-Plane Flexural Vibrations of Non-Uniform Rings Embedded in a Winkler Type Foundation

ROSALES MB; P FILIPICH, C; A LAURA, P A; R ROSSI,

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA

ACOUSTICAL SOC AMER AMER INST PHYSICS

Año: 1989 vol. 85 p. 953 - 957

0001-4966

Two approximate analytical solutions are obtained for the problem being considered by means of the Ritz method in the case of nonhomogeneous Winkler‐type embedment of the ring. One solution makes use of polynomial coordinate functions that contain an exponential optimization parameter Gamma which allows for minimization of the eigenvalues, while the other solution consists in approximating the ring response by means of sinusoidal functions. An independent numerical solution is also obtained using the finite element method.