Accession Number:

AD0654785

Title:

ON THE NONLINEAR FREE VIBRATIONS OF THIN CIRCULAR CYLINDRICAL SHELLS,

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s):

Report Date:

1966-06-01

Pagination or Media Count:

67.0

Abstract:

A study was made of the influence of higher-order and nonlinear effects on the free vibration behavior of thin circular cylindrical shells. A recent solution utilizing the Karman-Donnell strain-displacement relations is examined and criticized. A new solution is carried out which removes the basis for criticism and discloses the existence of a nonperiodic vibration behavior, a phenomenon heretofore unknown. Further, solutions are obtained employing the strain-displacement relations deduced by Sanders and applied, in an appropriately modified manner, by Mayers and Rehfield to the shell postbuckling problem. The effect of the improved strain-displacement relations in predicting the vibration behavior, attendant to a modal shape possessing a small number of circumferential waves, is assessed and recommendations are made for directing future effort on the problem. Author

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE