MECANISMO_INYECTORA2
3
Análisis Cinemático de un Mecanismo de Inyectora Datos Iniciales r2 69.51 := r3 74.93 := r4 40 := r5 100 := r6 180 := α 23 π 180 ⋅ := r1 0 10 , 50 .. := v1 10 := Análisis de Posicion del Mecanismo Inyectora Primer Mecanismo k1 r2 := k2 r1 ( ) r1 := k3 r1 ( ) r1 2 r2 2 + r3 2 − r4 2 + 2 r4 ⋅ := A1 r1 ( ) k3 r1 ( ) k2 r1 ( ) − := B1 2 − k1 ⋅ := C1 r1 ( ) k3 r1 ( ) k2 r1 ( ) + := θ 4 r1 ( ) 2 atan B1 − B1 2 4 A1 r1 ( ) ⋅ C1 r1 ( ) ⋅ − − 2 A1 r1 ( ) ⋅ ⋅ := θ 4 r1 ( ) 180 π ⋅ 8.45 17.582 28.195 39.815 52.051 64.692 = 0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0 7 14 21 28 35 42 49 56 63 70 Posicion E. 4 vs Magnit! E. 1 Magnit! Es"a#on 1 ($$) P o s i c i o n E s " a # o n 4 ( g r a ! o s ) θ 4 r1 ( ) 180 π ⋅ r1
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Transcript of MECANISMO_INYECTORA2
Datos Iniciales
r2 69.51:=
r3 74.93:=
r4 40:=
r5 100:=
r6 180:=
Primer Mecanismo
k1 r2:=
B1 2− k1⋅:=
2 A1 r1( )⋅
=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0
7
14
21
28
35
42
49
56
63
70
Magnit! Es"a#on 1 ($$)
P o s i c i o n E s " a # o n 4 ( g r a ! o s )
θ4 r1( ) 180
B2 2− k5⋅:=
2 A2 r1( )⋅
⋅:=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 120
130
140
150
160
Magnit! Es"a#on 1 ($$)
P o s i c i o n E s " a # o n 3 ( g r a ! o s )
θ3 r1( ) 180
θ6 r1( ) asin r5− sin θ5 r1( )( )⋅
r6
:=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 140
144
148
152
156
160
164
168
172
176
180
Magnit! Es"a#on 1 ($$)
P o s i s c i o n E s " a # o n 5 ( g r a ! o s )
θ5 r1( ) 180
=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 20−
15−
10−
5−
0
Magnit! Es"a#on 1 ($$)
P o s i s c i o n E s " a # o n 6 ( g r a ! o s )
θ6 r1( ) 180
r7 r1( ) r5 cos θ5 r1( )( )⋅ r6 cos θ6 r1( )( )⋅+:=
r7 r1( )
=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 80
82
84
86
88
90
Magnit! Es"a#on 1 ($$)
M a g n i t ! E s " a # o n 7 ( $ $ )
r7 r1( )
'4 r1( ) v1
r4 sin θ4 r1( )( )⋅ r4 cos θ4 r1( )( )⋅ tan θ3 r1( )( )⋅− :=
'4 r1( )
=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0.14
0.16
0.18
0.2
0.22
0.24
Magnit! Es"a#on 1 ($$)
" o c i ! a ! A n g " a r ' 4 ( r a ! * s )
'4 r1( )
r3 cos θ3 r1( )( )⋅ :=
0.14−
0.12−
0.1−
0.08−
0.06−
0.04−
Magnit! Es"a#on 1 ($$)
" o c i ! a ! A n g " a r ' 3 ( r a ! * s g )
'3 r1( )
=
'5 r1( ) '3 r1( ):= 0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0.16−
0.14−
0.12−
0.1−
0.08−
0.06−
0.04−
Magnit! Es"a#on 1 ($$)
" o c i ! a ! A n g " a r ' 5 ( r a ! * s g )
'5 r1( )
r6 cos θ6 r1( )( )⋅ :=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0.08−
0.07−
0.06−
0.05−
0.04−
0.03−
Magnit! Es"a#on 1 ($$)
" o c i ! a ! A n g " a r ' 6 ( r a ! * s )
'6 r1( )
r1
7 r1( ) r5 '3 r1( )⋅ sin θ5 r1( )( )⋅ r6 '6 r1( )⋅ sin θ6 r1( )( )⋅+( )−:=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0
1
2
3
4
5
Magnit! Es"a#on 1 ($$)
7 r1( )
C3 r1( ) r3 cos θ3 r1( )( )⋅:= 2
⋅ ⋅ 2
⋅ ⋅−=
:=
r2 69.51:=
r3 74.93:=
r4 40:=
r5 100:=
r6 180:=
Primer Mecanismo
k1 r2:=
B1 2− k1⋅:=
2 A1 r1( )⋅
=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0
7
14
21
28
35
42
49
56
63
70
Magnit! Es"a#on 1 ($$)
P o s i c i o n E s " a # o n 4 ( g r a ! o s )
θ4 r1( ) 180
B2 2− k5⋅:=
2 A2 r1( )⋅
⋅:=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 120
130
140
150
160
Magnit! Es"a#on 1 ($$)
P o s i c i o n E s " a # o n 3 ( g r a ! o s )
θ3 r1( ) 180
θ6 r1( ) asin r5− sin θ5 r1( )( )⋅
r6
:=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 140
144
148
152
156
160
164
168
172
176
180
Magnit! Es"a#on 1 ($$)
P o s i s c i o n E s " a # o n 5 ( g r a ! o s )
θ5 r1( ) 180
=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 20−
15−
10−
5−
0
Magnit! Es"a#on 1 ($$)
P o s i s c i o n E s " a # o n 6 ( g r a ! o s )
θ6 r1( ) 180
r7 r1( ) r5 cos θ5 r1( )( )⋅ r6 cos θ6 r1( )( )⋅+:=
r7 r1( )
=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 80
82
84
86
88
90
Magnit! Es"a#on 1 ($$)
M a g n i t ! E s " a # o n 7 ( $ $ )
r7 r1( )
'4 r1( ) v1
r4 sin θ4 r1( )( )⋅ r4 cos θ4 r1( )( )⋅ tan θ3 r1( )( )⋅− :=
'4 r1( )
=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0.14
0.16
0.18
0.2
0.22
0.24
Magnit! Es"a#on 1 ($$)
" o c i ! a ! A n g " a r ' 4 ( r a ! * s )
'4 r1( )
r3 cos θ3 r1( )( )⋅ :=
0.14−
0.12−
0.1−
0.08−
0.06−
0.04−
Magnit! Es"a#on 1 ($$)
" o c i ! a ! A n g " a r ' 3 ( r a ! * s g )
'3 r1( )
=
'5 r1( ) '3 r1( ):= 0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0.16−
0.14−
0.12−
0.1−
0.08−
0.06−
0.04−
Magnit! Es"a#on 1 ($$)
" o c i ! a ! A n g " a r ' 5 ( r a ! * s g )
'5 r1( )
r6 cos θ6 r1( )( )⋅ :=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0.08−
0.07−
0.06−
0.05−
0.04−
0.03−
Magnit! Es"a#on 1 ($$)
" o c i ! a ! A n g " a r ' 6 ( r a ! * s )
'6 r1( )
r1
7 r1( ) r5 '3 r1( )⋅ sin θ5 r1( )( )⋅ r6 '6 r1( )⋅ sin θ6 r1( )( )⋅+( )−:=
0 5.556 11.111 16.667 22.222 27.778 33.333 38.889 44.444 50 0
1
2
3
4
5
Magnit! Es"a#on 1 ($$)
7 r1( )
C3 r1( ) r3 cos θ3 r1( )( )⋅:= 2
⋅ ⋅ 2
⋅ ⋅−=
:=