Accession Number : AD0661226

Title :   THE INFLUENCE OF A MASS ON THE FREE FLEXURAL VIBRATIONS OF A CIRCULAR RING. /09RESEARCH AND DEVELOPMENT REPT.,

Corporate Author : NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER PORTSMOUTH VA UNDERWATER EXPLOSIONS RESEARCH DIV

Personal Author(s) : Palmer,E. W.

Report Date : AUG 1967

Pagination or Media Count : 51

Abstract : The general solution is obtained for the free flexural vibrations of a thin circular ring containing a point mass. The solution for a uniform ring alone is derived by taking the point mass to be zero. Numerical calculations of the frequencies of the first and second flexural modes are presented for values of the point mass in the range from zero to infinity. Mode shapes are presented in graphical form. The predominant feature of the investigation is the difference in frequency and mode shape found in the symmetrical and antisymmetrical branches of each mode. It is noted that similar phenomena have been observed experimentally for vibrations of imperfect bodies of revolution. (Author)

Descriptors :   (*RINGS, *VIBRATION), FLEXURAL STRENGTH, EQUATIONS OF MOTION, BODIES OF REVOLUTION, NUMERICAL ANALYSIS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE