Determination of Buckling Criteria By Minimization of Total Energy
Determination of Buckling Criteria By Minimization of Total Energy
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bn. R 3'b b . C'A, -=; ' f ■ sr'j ^^ kw. ). '.. '^' ■>; +■ ^; * 4- "^ *^' ; -). I -:;-:(;- ^ ^f •^ 27 Hence 2, -1, ,2, -2n . , 2n, -2, 2 ^ (k"-" - k)^ - (k"^''+ k^" - k'" - k") = /;2(k-l. K)2, (k-^-k^)2-. (k-l-k)2 ;^ (..
-•>:{}i^ f D^. I - cf) - '">i( 'iS •! . R > u: '(3^ •"-- -f J f ; I ;■ , -y 1 i •• . -f y I'^^jul nicorir ct^i. '/nv A -. ^-M ^. ', ^1^ I '. I I J. •- J -"MU'S ■;• LWI -^) s • -•xoU f%.^'-'\^xo'i^''- '?"' : /\-- - ■-/ V - «!
•/ -■. - J; r ia t. U- ■':h ■•• . F ■'i r- . -. A 28 ...corresponding to closure of the center to half its original size, since b(l -f A + ^.. ) = b[l + ^^ * ^^"^ A] b^ ^ Thus instability always occurs before compression is this large for any value of k. Furthermore, since s increases monotoni- cally with A, we have, below this limit, s . K^ = tLJ:_lAl2i^lA /_ ^2 \i + [^ + (\+ij, )k jA >. + 2ll, 2 > c ^ _ 1^ 2\ + 3[i - {X + |x)k (X + 2^) + (X + ^)(1 - k^) so that instability due to negative ^ always occurs at a lower 2 deformation than that corresponding to s
What to read after Determination of Buckling Criteria By Minimization of Total Energy?
You can find similar books in the "Read Also" column, or choose other free books by Samuel Lubkin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
bn. R 3'b b . C'A, -=; ' f ■ sr'j ^^ kw. ). '.. '^' ■>; +■ ^; * 4- "^ *^' ; -). I -:;-:(;- ^ ^f •^ 27 Hence 2, -1, ,2, -2n . , 2n, -2, 2 ^ (k"-" - k)^ - (k"^''+ k^" - k'" - k") = /;2(k-l. K)2, (k-^-k^)2-. (k-l-k)2 ;^ (..
-•>:{}i^ f D^. I - cf) - '">i( 'iS •! . R > u: '(3^ •"-- -f J f ; I ;■ , -y 1 i •• . -f y I'^^jul nicorir ct^i. '/nv A -. ^-M ^. ', ^1^ I '. I I J. •- J -"MU'S ■;• LWI -^) s • -•xoU f%.^'-'\^xo'i^''- '?"' : /\-- - ■-/ V - «!
•/ -■. - J; r ia t. U- ■':h ■•• . F ■'i r- . -. A 28 ...corresponding to closure of the center to half its original size, since b(l -f A + ^.. ) = b[l + ^^ * ^^"^ A] b^ ^ Thus instability always occurs before compression is this large for any value of k. Furthermore, since s increases monotoni- cally with A, we have, below this limit, s . K^ = tLJ:_lAl2i^lA /_ ^2 \i + [^ + (\+ij, )k jA >. + 2ll, 2 > c ^ _ 1^ 2\ + 3[i - {X + |x)k (X + 2^) + (X + ^)(1 - k^) so that instability due to negative ^ always occurs at a lower 2 deformation than that corresponding to s
What to read after Determination of Buckling Criteria By Minimization of Total Energy?
You can find similar books in the "Read Also" column, or choose other free books by Samuel Lubkin to read onlineMoreLess
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