Руководство к решению задач по механике твердого деформируемого тела матричными методами. Бундаев В.В. - 75 стр.

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149
Re qx, qy,()
0.5− qx⋅ l
e
⋅
0.5− qy⋅ l
e
⋅
qy− l
e
()
2
⋅
12
0.5− qx⋅ l
e
⋅
0.5− qy⋅ l
e
⋅
qy l
e
()
2
⋅
12
:=
R1 e P,()
0
0.5− P⋅
P− l
e
⋅
8
0
0.5− P⋅
Pl
e
⋅
8
:=
Q
1
0
2.5−
2.083−
0
2.5−
2.083
=
Q
2
0
0
0
0
0
0
=
Q
3
0
2−
3−
0
2−
3
=
Q
4
0
0
0
0
0
0
=
150
T1()
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
=
T4()
0
1
0
0
0
0
1
−
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1−
0
0
0
0
0
0
0
1
=
seg e() Te()
T
se e()⋅ Te()⋅:=
Qe() Te()Q
e
⋅
:=
                                         149                                                                   150




                    −0.5⋅ qx⋅ le 
                    −0.5⋅ qy ⋅ l                      0 
                                 e
                                                                           1    0 0 0 0 0                         0    −1 0 0 0 0 
                                 2
                                                        −0.5⋅ P            0    1 0 0 0 0                          1    0 0 0 0 0
                      −qy ⋅ ( l )                       −P⋅ le                                                                         
                              e                                              0   0   1 0 0 0                         0   0 1 0 0 0
                     12                                          T( 1) =                                 T( 4) = 
R( e , qx, qy ) :=                                       8                0    0   0 1 0 0                       0    0 0 0 −1 0 
                                        R1( e , P) :=
                                                                             0                                      0                    
                     −0.5⋅ qx⋅ le                     0                        0   0 0 1 0                              0 0 1 0 0
                                                        −0.5⋅ P                                                    
                    −0.5⋅ qy ⋅ l                                           0        0 0 0 1                       0    0 0 0 0 1
                                 e                                             0

                                                       P⋅ le 
                                2 
                     qy ⋅ ( le)                                                              T                             Q( e) := T( e) ⋅ Q
                                                        8                   seg ( e) := T( e) ⋅ se ( e) ⋅ T( e)                               e
                     12 
                                   


     0                     0           0               0
     −2.5                   0             −2              0
                                                        
     −2.083                  0             −3                0
Q =                       Q =         Q =             Q = 
 1  0                    2 0         3  0            4 0
     −2.5                  0            −2             0
                                                          
     2.083                 0           3               0

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