> 9;8'` RT bjbj$$2$FF+Ttppp8,`vxxxxxx$ohb-"""
"(v
"v
{WkBpJ
v0
92
L9
9
""
"""""~
"""""""$ .BPBoundary element analysis of 2D thin walled structures with high-order
geometry elements using transformation
Thin structures have been widely designed and utilized in many industries. However,
the analysis of the mechanical behavior of such structures represents a very
challenging and attractive task to scientists and engineers because of their special
geometrical shapes. The major difficulty in applying the boundary element method
(BEM) to thin structures is the coinstantaneous existence of the singular and nearly
singular integrals in conventional boundary integral equation (BIE). In this paper, a
non-linear transformation over curved surface elements is introduced and applied to
the indirect regularized boundary element method for 2-D thin structural problems.
The developed transformation can remove or damp out the nearly singular properties
of the integral kernels, based on the idea of diminishing the difference of the orders
of magnitude or the scale of change of operational factors. For the test problems
studied, very promising results are obtained when the thickness to length ratio is in
the orders of 1E_01 to1E_06, which is sufficient for modeling most thin structures in
industrial applications.
)R(uIcleؚ~^UOCQ }KNN}XP}ivLuCQRg
XP}i]^l-&NK(ue1Y]mi
N01ue[vyrk~^UOYb_@bNP}ivRx[LpRg
\yx[[b]z+^/fPuiwQc0b8T_Rv]\O0\LuCQ }la(u0RWP}ig;NvL(WeTBfX[(WePq}LuCQ }lvGYpuяNNGYpuvMzR0,ge_eQ^}'`Ic(WfbCQ }
N&NNa(u0RcckLuCQ }lOUሌN}XP}iOUL0WenNO!k]pub9ed\OVP[v:\^bP|vU\vIclySbb6RMzR8hvяNNGYpuyr'`0(Wxvz,nfOULBfvuS^w^vk\
9r G$CJaJ*
$ "&*Hopiheg
"+r |r |r |r |r |r |r |r |r |r |r |r |r |r |r |r |r |r |r |r |r r Or OHopiheg
"'(+000000000000000000000@000n@000n@000n@000n0@0@0y\Mopheg+000000
(00 0000000000000 ***-
T
T R
OLE_LINK1+++HPithreggj=B!"%+:::::::::::::::::
!++qp
rEBLe
90
2CEnu[N")uui@ C Z 5h
.ThbMnFQ(m4jv/?Kez,].Qf{t0m0;.2k+!M9!p"#$z$%%c&|5&P6&Q6&N&@)3*p9*R*_*u+F-,>-O.^.Q/{/k01$1
3!3wA3G3g3A>5Ky5i6&_6y6$:m|:h
;-;h/<J<h!=U5=O=VE@nAKBBCBCEB9YCDtDa_E%
F
G(GHnJEHJ"KJlLl
LL.Lf*MN,NXNQ1
%5'\;AJy|$V^e&76IOV3;d'LSTP_l>8 c@,.\/
37hUc.05tK!n@ U]y8BcfNKd
hr^HM3^^\p D_nbtG
A N^H+3:}-n>$N'0ey|)-(/^YDwxz6]=P@(7z(*@ UnknownGz Times New Roman5Symbol3&z ArialeNHFDH G+ Adv Mac Mth Sy Ne0}fԚC.e0}fԚPMingLiU hF&&
?!),.:;?]} " % & ' 2 t%00 00
00000013468:<>@BDOPQRTUVWZ\^ \]d([{ 5 0
000000579;=?ACY[][2d 3AHX(?e2Tsai Jhen-JyunTsai Jhen-JyunOh+'0x
(4@
LX`hpTsai Jhen-JyunNormalTsai Jhen-Jyun12Microsoft Office Word@87@kB@@>@V̀kB՜.+,0
X`lt|
'
!"#$%&')*+,-./1234567:Root Entry F`kB<Data
1Table9WordDocument2$SummaryInformation((DocumentSummaryInformation80CompObjm
FMicrosoft Office Word
MSWordDocWord.Document.89q