Accession Number : AD0675471
Title : THE DYNAMIC RESPONSE OF FINITE, ELASTIC CYLINDERS ACCORDING TO VARIOUS SHELL THEORIES, VOLUME 1.
Descriptive Note : Interim technical rept.,
Corporate Author : CITY COLL NEW YORK DEPT OF MECHANICAL ENGINEERING
Personal Author(s) : Fisher,Selig ; Menkes,Sherwood B.
Report Date : AUG 1968
Pagination or Media Count : 167
Abstract : The forced response of finite, linearly elastic cylinders with prescribed edge conditions has not been sufficiently studied. Various shell theories have been proposed to examine this problem. The simpler bending theories (called herein classical theories), more amenable to engineering approximation, having been examined by other criteria, may not actually be appropriate to all dynamic problems. Only limited use has been made of these classical theories for dynamic problems, and then only with very specialized edge conditions. More inclusive theories, which include transverse shear deformation and rotary inertia (usually termed refined or SR theories), though developed, have not been used to analyze dynamic problems of this nature. We propose to compare the results of two shell theories, one classical and one SR theory, when they are used to analyze the forced dynamic deformation of an elastic cylinder with free and clamped edges. An essential feature of the analysis is a reliance on Hamilton's Variational Principle as the underlying, dominant governing physical law. Beginning with Hamilton's Principle, we have formulated two mutually consistent sets of descriptive equations and boundary conditions, as well as the required conditions of orthogonality. The equilibrium portions of these equations are shown to be identical with particular shell theories, previously developed by Yu, in part of different means. (Author)
Descriptors : (*SURFACE TO SURFACE MISSILES, AIRFRAMES), (*AIRFRAMES, STRUCTURAL PROPERTIES), CYLINDRICAL BODIES, DEFORMATION, BENDING, INERTIA, RESPONSE, PARTIAL DIFFERENTIAL EQUATIONS, STRESSES, MATHEMATICAL MODELS, LOADS(FORCES), FORCE(MECHANICS), VIBRATION, EQUATIONS OF MOTION
Subject Categories : Structural Engineering and Building Technology
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Distribution Statement : APPROVED FOR PUBLIC RELEASE