THE RESTORATION

1
THE RESTORATION OF THE ANCIENT WAT BOVORN
NIVET PAGODA
Worsak Kanok-Nukulchai Pairuch Laoprasert Wichain
Sommanawat
2
Finite Element Method (FEM)
Element Free Galerkin Method (EFGM)
????????????????????????? interpolation
?????????(nodes)??????????????????? (Element)
?????????????????????? Moving Least Square (MLS)
??????????????????? Domain of Influence (DOI)
?????????????????????????????? Kronecker Delta
??????????????????????????? Kronecker Delta
????????????????????????????????????????
??????????????????????????????????????????????
3
Kriging Interpolation
D.G. KRIGE , A south African engineering
4
FEM piecewise interpolation function
MLS uh(x) pT(x)a(x)
MK uh(x) pT(x)a(x) Z(x)
u(x)
x
5
Comparison of Shape function in 1D
MK
6
Comparison of Shape function in 2D between MK
FEM
MK Shape function
FEM Shape function
7
?????????
??????????????
?????????????????
8
1st order derivative of shape function
f,y
f,x
y
x
x
y
9
DOMAIN OF INFLUENCE (DOI)
10
DOI ???????????????????????????????????
11
LAYERED DOMAIN OF INFLUENCE
12
??????????????????????????????????????????????????
13
??????????????????????????????????????????? MK-3D
??? FEM
14
(No Transcript)
15
Displacement along N.A.
Location X
16
(No Transcript)
17
330 nodes 931 integration cells
????? 3D Lame Problem
??????????? (b) 4 ????????????? (a) 1 E
1.0 ??? n 0.25 ?????????????? (p) 1.0
18
?????????????????????????????????????????????????
19
??????????????????????????????????????????????????
????????????
20
The Ancient
Wat Bovorn Nivet Pagoda
???????????????? ???????????????????????
?????????????? ?????????????? ??? ????????????
????????? ?????????????
21
????????
????????????????????????????????????
22
????????????????????????????????
23
???????????????????????????
24
???????????????????????????
25
????????????????????????????????
26
???????????????????????????????????????????
27
????????????????????????
1,884 nodes 5,972 integration cells
1,570 nodes 4,917 integration cells
1,570 nodes 4,917 integration cells
2,689 nodes 8,744 integration cells
28
??????????????????????????????????
29
(No Transcript)
30
(No Transcript)
31
??????????????????
??????????????????????????????????????????????????
????????????????????? - 4.48 ??/??.??.
???????????????????????????????????????????
-29.36 ??./??.
??????????????????????????????????????????????????
????????????????????? 1.32 ??/??.??.
??????????????????????????????????????????? 4.1
??./??.
32
??????????????????????????????????????????????????
????????
33
??????????????????????????????????????????????????
????????
34
??????????????? ????????????????????????????????
??????? ????????????????????????? ???????????????
?????????????????????? ??? ?????? ??????????
????? ????????????????????????????????????????????
????????????
35
(No Transcript)