Bifurcation Buckling of Spherical Caps

Edward L Reiss

The book Bifurcation Buckling of Spherical Caps was written by author Edward L Reiss Here you can read free online of Bifurcation Buckling of Spherical Caps book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Bifurcation Buckling of Spherical Caps a good or bad book?

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Rl v'l^vt ■? ;?: H' ♦IlSnO.^Hl Hi t X -■>n 7 26 . 2^2 iS. S) I ff'(x) -oJf'^(x)Jx^dx >, for all f(x)^ A .
p Here ^-', is also the lovrest eigenvalue of the linearized buckling problem for the sy/imetric deformations of radially compressed and clamped circular plates: (5o6) Gf(x) +Af(x) =, f'(0) = f(l) = .
V/e call (5»6) the "equivalent" circular plate problem. The inequality (^oS) and the functional V given in (5»h-) and (5. 1) immediately yield LEI-MA 1. If >^ ? then only f (x) = mi nimizes V,... The form of the functional V and the properties of the eigenvalues (3«5a) and eigenvectors (3c7) of the linear shell buckling problem yield LEIIIIA 2. If X = X(p) then there exist for each p > a function f(x)£A such that V[f(x)J B > -2B /a, n = 1, 2, . , . . The constants n nn a and 6^ are defined by n n " a2 = .

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