Accession Number : AD0486082
Title : DYNAMIC INSTABILITY OF CIRCULAR, CYLINDRICAL SHELLS HAVING VISCOELASTIC CORES.
Descriptive Note : Technical rept.,
Corporate Author : POLYTECHNIC INST OF BROOKLYN NY DEPT OF AEROSPACE ENGINEERING AND APPLIED MEC HANICS
Personal Author(s) : Zweben, Carl ; Klosner, Jerome M.
Report Date : JUN 1966
Pagination or Media Count : 51
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.
Descriptors : *ELASTIC SHELLS), (*CYLINDRICAL BODIES, COMPOSITE MATERIALS, VISCOELASTICITY, ROCKET PROPELLANT GRAINS, STRAIN(MECHANICS), BENDING, DEFLECTION, STABILITY, INERTIA, SHEAR STRESSES, BUCKLING, LOADS(FORCES).
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE