Matrix Analysis Of Shells
Download Matrix Analysis Of Shells PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Matrix Analysis Of Shells book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Matrix Analysis of Shells
A short resume of the matrix displacement method of structural analysis is given and followed by some essential matrix transformations. The stiffness matrices of parallelogram, rectangular and triangular bending elements are developed followed by extensions to consider also membrane stresses. A kinematically consistent idealization of pressure loadings is presented, and the extension of the matrix displacement method to large displacement problems considered. Matrix eigenvalue problems arising in buckling, free vibration and damped vibration are considered and algorithms described for the determination of eigenvalues. Some examples are presented.
Computerized buckling analysis of shells
Author: D. Bushnell
language: en
Publisher: Springer Science & Business Media
Release Date: 1985-09-30
This report describes the work performed by Lockheed Palo Alto Research Labora tory, Palo Alto, California 94304. The work was sponsored by Air Force Office of Scientific Research, Bolling AFB, Washington, D. C. under Grant F49620-77-C-0l22 and by the Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Wright-Patterson AFB, Ohio under Contract F3361S-76-C-31OS. The work was completed under Task 2307Nl, "Basic Research in Behavior of Metallic and Composite Components of Airframe Structures". The work was admini stered by Lt. Col. J. D. Morgan (AFOSR) and Dr. N. S. Khot (AFWAL/FIBRA). The contract work was performed between October 1977 and December 1980. The technical report was released by the Author in December 1981. Preface Many structures are assembled from parts which are thin. For example, a stiffened plate or cylindrical panel is composed of a sheet the thickness of which is small com pared to its length, breadth, and stiffener- spacing, and stiffeners the thickness of which is small compared to their _ heights and lengths. These assembled structures, loaded in compression, can buckle overall, that is sheet and stiffeners can collapse together in a general instability mode; the sheet can buckle locally between stiffeners; the stiffeners can cripple; and a variety of complex buckling interactions can occur involving local and overall deformations of both sheet and stiffeners. More complex, built-up structures can buckle in more complex and subtle ways.
Matrix Analysis of Shell Structures
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).