MatriceKrut.
Transcript of MatriceKrut.
-
8/16/2019 MatriceKrut.
1/3
Matrica krutosti stapa tipa K
=
[
0 0 0 00 12 6 0 12 6
0 6 4 0 6 2 0 0 0 00 12 6 0 12 60 6 2 0 6 4 ]
=[
cos sin 0 0 0 0sin cos 0 0 0 0
0 0 1 0 0 00 0 0 cos sin 00 0 0 sin cos 00 0 0 0 0 1]
Matrica krutosti stapa tipa G
=
[
0 0 00 3 3 0 30 3 3 0 3
0 0 00 3 3 0 3 ]
=
[
cos sin 0 0 0sin cos 0 0 0
0 0 1 0 00 0 0 cos sin
0 0 0 sin cos ]
=[
0 0 00 3 0 3 3
0 0 00 3 0 3 30 3 0 3 3 ]
= [
cos sin 0 0 0sin cos 0 0 0
0 0 cos sin 00 0 sin cos 00 0 0 0 1]
1 2 3 4 5
1
2
4
5
3
1 2 3 4 5
1
2
3
4
5
1 2 3 4 5 6
1
2
3
4
5
6
-
8/16/2019 MatriceKrut.
2/3
Matrica krutosti stapa tipa S
=
[
0 00 0 0
0 0 3 ]
gde je l duzina stapa S
= 1 1
1 1 = cos sin 0 0
0 0 cos sin Veza globalnog i lokalnog kordinatnog sistema
R∗ = T ∙ R q∗ = T ∙ q Q∗ = T ∙ Q K∗ = TK T
R = T ∙ R∗
q = T ∙ q∗
Q = T ∙ Q∗
Uslovne jednacine
q∗ = K∗−∗ K∗ ∗
Zidno platno
= 11 + Ф
0 0 0 0
0 12 6 0 12 60 6 1+Ф4 0 6 2Ф 0 0 0 0
0 12 6 0 12 60 6
2Ф
0 6
4+Ф
Ф = 1 . 2 Е (ℎ ) = 21+
Rostilj
=
0 0 GJ 0 00 12 6 0 12 60 6 4 0 6 2
GJ 0 0
GJ 0 00 12 6 0 12 6
0 6 2 0 6 4
=
cos 0 0 0 0 00 1 0 0 0 0sin 0 cos 0 0 0
0 0 0 cos 0 sin 0 0 0 0 1 00 0 0 sin 0 cos
-
8/16/2019 MatriceKrut.
3/3
=
0 0 00 3 3 0 30 3 3 0 3
0 0 00 3 3 0 3
=
cos 0 0 0 0 00 1 0 0 0 0
sin 0 cos 0 0 0
0 0 0 cos 0 sin 0 0 0 0 1 0
Teorija II reda
= 12 6 12 66 4 6 2
12 6 12 66 2 6 4 = 30
36 3 36 33 4 3
36 3 36 33 3 4