Some Mathematical Aspects of Buckling
This is a set of lecture notes for a very short course on the mathematical foundations of buckling theory. Since the critical buckling load can usually be characterized as the largest (or smallest) eigenvalue of a variational problem, the approximation of this load is a special case of the approximation of all the eigenvalues of a variational problem. A rather detailed analysis of this problem is to be found in the author’s book Variational Methods for Eigenvalue Approximation, CBMS Regional Conference Series in Applied Mathematics 15, SIAM, Philadelphia, 1974. We refer the interested reader to this book for more details and for references.
KeywordsQuadratic Form Mathematical Aspect Admissible Function Lower Eigenvalue Unconstrained Problem
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