Accession Number : AD0616907

Title :   MATRIX ANALYSIS OF SHELL STRUCTURES,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE AEROELASTIC AND STRUCTURES RESEARCH LAB

Personal Author(s) : Klein,Stanley

Report Date : JUN 1964

Pagination or Media Count : 174

Abstract : The methods of matrix structural analysis are applied to the solution of an arbitrary shell structure composed of shells of revolution under both symmetric and asymmetric loads. The Displacement Method is employed by assuming a power series displacement pattern along the meridian of a finite conical element. This plus a Fourier expansion in the circumferential angle results in an element stiffness matrix for the general kth harmonic. Improvement of the element stiffness matrix using the Principle of Minimum Potential Energy is explored in detail. Comparisons with recent work in this area and with other methods of solution are presented. Numerical results for element matrices and for structural analyses are obtained for the symmetric situation, using an IBM 7094. These results indicate that the comparatively simple finite element displacement approach provides an effective method of handling the complicated shell problem. The displacement assumption employed in the static analysis is used to derive an element mass matrix, and a solution for the vibrations of shell structures composed of shells of revolution is given. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), MATRICES(MATHEMATICS)), (*MATRICES(MATHEMATICS), SHELLS(STRUCTURAL FORMS)), BODIES OF REVOLUTION, POWER SERIES, FOURIER ANALYSIS, HARMONIC ANALYSIS, VIBRATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE