Buckling of periodic structuresEquations are developed for the buckling of a general lattice structure that has repetitive geometry. Equilibrium at a typical node is expressed using finite element techniques, and the only assumption is that the response is periodic. By basing the stiffness matrix on the exact solution of the beam column equation, accurate results are obtained for complex buckling behavior that would require a very large system of equations using conventional techniques. The present method requires the eigenvalues of only a 6x6 determinant. The results are used to study the buckling of isogrid cylinders, three-element truss columns and polygonal rings. Details of the analysis including expressions for all terms in the governing stability determinant are given.
Document ID
19800050834
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Anderson, M. S. (NASA Langley Research Center Structures and Dynamics Div., Hampton, Va., United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1980
Subject Category
Structural Mechanics
Report/Patent Number
AIAA PAPER 80-0681
Meeting Information
Meeting: Structures, Structural Dynamics, and Materials Conference