A Non Linear Shell Theory Compared With the Classical Three Dimensional Theory O
A Non Linear Shell Theory Compared With the Classical Three Dimensional Theory O
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In our eReader you can find the full English version of the book. Read A Non Linear Shell Theory Compared With the Classical Three Dimensional Theory O Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Non Linear Shell Theory Compared With the Classical Three Dimensional Theory O
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A, .^, Q = Q j^j4-H^(Q), C(Q^j|'^'- Q^j.^j) = (1 + Gq)H^(Q) = H^(Q) CQ^jH' = (l+S)Qij^j + H^(Q) = Q^, j + Ji(Q) = V^+ S' + J^(Q) Considering V. As a function of displacements, it is seen that V is an nth degree polynomial in 0^ and V^ is an (n+l)st ex p P degree polynomial. Hence 37 — e — ^a= Z^a(k)^lc(Tf) = Z. '«"j, J-2aJ, j'(K)Pk(Tr) 'from the k=0 k=0 ieflnitions of S . . And V. ) 1 J 1 ^[CQ°'^. |J + J^(Q)+ S'](j^)P^(^) from (6.^) k=0 — i 2FnPk+l(^)[(Q°^jl'+F")C](^) from (6. 2) k=n-l 2^[-F%Ho...(F) + J^(Q)+s'](^jP^(-jf) k=0 + i 2FfTPk+l(TfHVa-^S +J^(Q)+F°'+Ho(F)](j^) k=n-l from (6. 4) For k = n- 1, n ^a(k) = f%, p+^'(u", 33+U^, 3a^](k)^^^°'" *^^ definitions of M^ ) (^ap, p + ^U^, 3a)(k) since U ^^^ is an (n-2)nd degree polynomial in 6^ if n > 2 and is zero if n = 1.
38 Hence n ^a= I [-''" + Jo
To quickly assess the difficulty of the text, read a short excerpt:
A, .^, Q = Q j^j4-H^(Q), C(Q^j|'^'- Q^j.^j) = (1 + Gq)H^(Q) = H^(Q) CQ^jH' = (l+S)Qij^j + H^(Q) = Q^, j + Ji(Q) = V^+ S' + J^(Q) Considering V. As a function of displacements, it is seen that V is an nth degree polynomial in 0^ and V^ is an (n+l)st ex p P degree polynomial. Hence 37 — e — ^a= Z^a(k)^lc(Tf) = Z. '«"j, J-2aJ, j'(K)Pk(Tr) 'from the k=0 k=0 ieflnitions of S . . And V. ) 1 J 1 ^[CQ°'^. |J + J^(Q)+ S'](j^)P^(^) from (6.^) k=0 — i 2FnPk+l(^)[(Q°^jl'+F")C](^) from (6. 2) k=n-l 2^[-F%Ho...(F) + J^(Q)+s'](^jP^(-jf) k=0 + i 2FfTPk+l(TfHVa-^S +J^(Q)+F°'+Ho(F)](j^) k=n-l from (6. 4) For k = n- 1, n ^a(k) = f%, p+^'(u", 33+U^, 3a^](k)^^^°'" *^^ definitions of M^ ) (^ap, p + ^U^, 3a)(k) since U ^^^ is an (n-2)nd degree polynomial in 6^ if n > 2 and is zero if n = 1.
38 Hence n ^a= I [-''" + Jo
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