DYNAMIC STABILITY AND NON-LINEAR OSCILLATIONS OF CYLINDRICAL SHELLS (PLANE STRAIN) SUBJECTED TO IMPULSIVE PRESSURE
Abstract
The equations of motion for large deformation of a thin elastic cyl ndrical shell are derived and simplified to a form second order theory which is adequate for investigating the dynamic stability of the shell. A review of linear vibrations is presented. The response of a cylindrical shell to a uniform impulsive pressure is investigated. It is found that the circular mode of vibration, which is the basic response of the shell, may be unstable, the shell going over into bending modes of vibration. A criterion is established for predicting the bending modes excited. It is shown that the type of instability involved corresponds to what is known as autoparametric excitation in non-linear oscillations. Uniform impulsive pressure of sufficient magnitude to cause inward plastic flow is considered. The analysis is carried out for a stress-strain relation which includes purely viscous, viscoplastic, and linear strain hardening materials as special cases. It is shown that a series of wrinkles develop around the circumference as the shell flows inward. The wrinkling arises from magnification of the irregularities in the initial radial velocity due to the compressive membrane force in the shell. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1962
- Accession Number
- AD0278136
Entities
People
- I. K. Mcivor
- J. N. Goodier
Organizations
- Stanford University