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APPLICATION OF THE MATRIX DISPLACEMENT METHOD TO THE LINEAR ELASTIC ANALYSIS OF SHELLS OF REVOLUTION,

John H. Percy,T. H. H. Pian,DHIRENDRA R. NAVARATNA,S. B. Klein-1965-01-01-Defense Technical Information Center (DTIC)
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TL;DRAbstract

The report describes the application of the matrix displacement method to the linear elastic analysis of shells of revolution. The shell is idealized as a series of conical frusta, joined at nodal circles. The use of this idealization to handle asymmetric deformations is demonstrated. It is shown how approximations to the mass and stiffness matrices may be consistently derived; these may then be used to solve both static and dynamic problems. The effect on the results of static analyses of improving the approximation to the stiffness matrix is demonstrated and discussed. Results of static analyses of several shell configurations are presented and these are compared with solutions by other methods. (Author)

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The report describes the application of the matrix displacement method to the linear elastic analysis of shells of revolution. The shell is idealized as a series of conical frusta, joined at nodal circles. The use of this idealization to handle asymmetric deformations is demonstrated. It is shown how approximations to the mass and stiffness matrices may be consistently derived; these may then be used to solve both static and dynamic problems. The effect on the results of static analyses of improving the approximation to the stiffness matrix is demonstrated and discussed. Results of static analyses of several shell configurations are presented and these are compared with solutions by other methods. (Author)

Keywords

Shell (structure)Stiffness matrixStiffnessMatrix (chemical analysis)Displacement (psychology)Static analysisDirect stiffness methodStructural engineering

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