Free In-Plane Vibrations of Ring-Spokes Mechanical Systems

ROSALES MB; P FILIPICH, C; C JOUGLARD,

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA

ACOUSTICAL SOC AMER AMER INST PHYSICS

Año: 1989 vol. 86 p. 2229 - 2236

0001-4966

The present paper deals with the analysis of the dynamic behavior of the structures described in the title. It is assumed that the spokes are symmetrically distributed and clamped at the ring center. The circumferential ring response is expressed in terms of a complete set of periodic functions. The elastodynamic behavior of the spokes is taken into account by replacing them with equivalent frequency‐dependent springs. Use is made of Dirac delta, doublet functions, etc. It is demonstrated that taking into account symmetric properties of the structure results in a significant reduction of the order of the system of equations. The free vibration of several cases was studied numerically. Natural frequencies and mode shapes are presented.