Extension of a Thick Infinite Plate With a Circular Hole
Extension of a Thick Infinite Plate With a Circular Hole
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We shall associate with p'^ a "stress function", ^ (il, 9, C), which may be the solution of the following boundary value problem on the sem. I-infinite strip, |^1 _^ 1, t^ >_ 0, and fixed 9: V^f = ; i?^^(n, ^±l) = where fcrfs I Of) ^^ -■' (Br^) 9"e3riv; v^-iT " (3. ^)0 {ci. ^O $:ij • a^Xdoil lo no. WwXoa b ni:B>>cfo oT vd n^vj" . -•-. .-fr- !> - ri rfctxw {8l} mslcfcriq sjjXbv •'^^fim/ocf iioviig CiOJ:. - • . • smxxo'iqqB " srid- YoXqnrs sw iiwoinlny el nieXdCTg , bS aoo (l-^:S^)(r. D nl8 |+ pr...d soo)'^®"3 p = ^"5 5 / S -, ,, S, , s fTB- / d->- iJ, tr Srr s'lorlw 15 (55b) H = 1^, a = 2. 075, b = 1. 143 . An Integral representation can be given for the solution 2 of Problem T since Green's function for the boundary value problem (23) is knovm [l4]. However, we prefer to use the Infinite series representation which yields for the solution . 2 ' of T' (36a) where. rt oo p P^^ = >_ K cos nTT? e"'"'^ sin 29, re ^ n ^Q = YH K^ sin nTrC e"'^^^ sin 29, (36b), - • K = ^« (-1)" n ^2 2 TT n As in [3] we define the stresses, r, of the N-th approximation to the exact theorj'- as: (37) (T^^h^, 9, ^;E) =rZ[s^{^^, 9, r) + F^I, ^/e, e, 0]e'' • n=0 .
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To quickly assess the difficulty of the text, read a short excerpt:
We shall associate with p'^ a "stress function", ^ (il, 9, C), which may be the solution of the following boundary value problem on the sem. I-infinite strip, |^1 _^ 1, t^ >_ 0, and fixed 9: V^f = ; i?^^(n, ^±l) = where fcrfs I Of) ^^ -■' (Br^) 9"e3riv; v^-iT " (3. ^)0 {ci. ^O $:ij • a^Xdoil lo no. WwXoa b ni:B>>cfo oT vd n^vj" . -•-. .-fr- !> - ri rfctxw {8l} mslcfcriq sjjXbv •'^^fim/ocf iioviig CiOJ:. - • . • smxxo'iqqB " srid- YoXqnrs sw iiwoinlny el nieXdCTg , bS aoo (l-^:S^)(r. D nl8 |+ pr...d soo)'^®"3 p = ^"5 5 / S -, ,, S, , s fTB- / d->- iJ, tr Srr s'lorlw 15 (55b) H = 1^, a = 2. 075, b = 1. 143 . An Integral representation can be given for the solution 2 of Problem T since Green's function for the boundary value problem (23) is knovm [l4]. However, we prefer to use the Infinite series representation which yields for the solution . 2 ' of T' (36a) where. rt oo p P^^ = >_ K cos nTT? e"'"'^ sin 29, re ^ n ^Q = YH K^ sin nTrC e"'^^^ sin 29, (36b), - • K = ^« (-1)" n ^2 2 TT n As in [3] we define the stresses, r, of the N-th approximation to the exact theorj'- as: (37) (T^^h^, 9, ^;E) =rZ[s^{^^, 9, r) + F^I, ^/e, e, 0]e'' • n=0 .
What to read after Extension of a Thick Infinite Plate With a Circular Hole?
You can find similar books in the "Read Also" column, or choose other free books by Edward L Reiss to read onlineMoreLess
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