DYNAMIC INSTABILITY OF CIRCULAR, CYLINDRICAL SHELLS HAVING VISCOELASTIC CORES.
Abstract
An investigatin has been made to determine the stablizing effects of viscoelastic cores on the response of long, circular cylindrical shells subjected to time-dependent axial loads. A small strain-large rotation shell theory of the Karman-Tsien type, in which only the radial inertia terms are included, is employed to analyze the shell. The core response is determined by applying the Laplace transform to the three-dimensional, linear, viscoelastic field equations in which all inertia terms are neglected. Coupling of the structural elements is obtained by requiring that the radial displacements be compatible and that the shearing stresses vanish at the interface. (It has been shown that the most important stabilizing effect comes from the radial stress and that the shearing stress between the core and the shell can be negleced.) The radial shell deflection is approximated by using a four-term deflection functionh having time-dependent coefficients. By appealing to Hamilton's principle, a system of four coupled integro-differential equations of these coefficients is obtained. A numerical integration procedure is then used to solve these equations. Studies have been made of the magnitude of the critical loads as a function of both the initial shell imperfections and the time duration of loading.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1966
- Accession Number
- AD0486082
Entities
People
- Carl Zweben
- Jerome M. Klosner
Organizations
- New York University Tandon School of Engineering