MATRIX ANALYSIS OF AXISYMMETRIC SHELLS UNDER GENERAL LOADING.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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This report presents a technique for analyzing axisymmetrical shell structures subjected to a general loading condition, using the Matrix Displacement Method. The structures are idealized by truncated conical shell elements and circular flat plate elements, joined together at nodal circles. Loads represented by a combination of Fourier series are applied to the nodal circles, and the behavior is calculated in terms of the displacements and distortions of these nodal circles. Deflections, stresses, and buckling loads may be determined. Since large deflections are likely to occur in thin shell structures, a correction to linear small deflection theory is introduced by way of a geometric stiffness matrix, which also may be used in stability studies. Temperature variations around the circumference and through the thickness of the shell are considered. A computer program to solve the equations presented is available in FORTRAN IV language for an IBM 7094 computer. The method is a fast, versatile, accurate, and relatively simple way to analyze axisymmetric shells. Author
- Theoretical Mathematics
- Structural Engineering and Building Technology