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Statica si Stabilitatea Structurilor III
Note de curs: www.cosminchiorean.com
Calculul Geometric Neliniar al Structurilor
Ecuatiile de echilibru a barei drepte in calculul geometric neliniar
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x
xNxNxNFx
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xNtan)(0
)(
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2
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Ecuatiile de echilibru a barei drepte in calculul geometric neliniar
Ecuatiile de echilibru a barei drepte in calculul geometric neliniar
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xv
x
xvNxV
x
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1cos sin
x
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Ecuatiile de echilibru a barei drepte in calculul geometric neliniar
Ecuatiile de echilibru ale barei drepte in calculul geometric neliniar: Efectul deformatiilor de lunecare
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Ecuatiile de echilibru a barei drepte in calculul geometric neliniar: Efectul deformatiilor de lunecare
Ecuatiile de echilibru a barei drepte in calculul geometric neliniar: Efectul deformatiilor de lunecare-Modelul Engesser
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Ecuatiile de echilibru a barei drepte in calculul geometric neliniar: Efectul deformatiilor de lunecare-Modelul Haringx
x
v
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0
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Ecuatiile de echilibru ale barei drepte in calculul geometric neliniar: Efectul deformatiilor de lunecare
Integrarea ecuatiilor diferentiale de echilibru pentru bara dreapta Formularea in momente incovoietoare
2
0
2
2
2 )()(
)(
dx
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EI
N
dx
xMd
2
0
2
2
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EI
N
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2
2
2
2
2
2
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ecompresiunNxxMdx
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2
2
xMdx
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022 r
)(int0,
)(0,2,1
indereN
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o sinhcosh 2121
200
)(4
L
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dx
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8)(2
0
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0
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0,
0,
)(
2
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N
N
xM p
0,sinhcosh)(
0,sincos)(
221
221
NxCxCxM
NxCxCxM
Compresiune Intindere
x
L
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L
xMx
L
LxMxM ji
sin
sin
1coscos1
sin
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sin
coscos)(
2
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221
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Integrarea ecuatiilor diferentiale de echilibru pentru bara dreapta Formularea in deplasari
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0
2
2
2
2
2
2
2 )()()()(
dx
xvd
dx
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dx
xvdNq
dx
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2
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2
0
2
2
2
4
4 )(1)()(
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EI
N
dx
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0
2
2
)(1
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EI
N
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)(0,)()(
2
22
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4
2
22
4
4
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dx
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0
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221
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1'3)(
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43
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1'
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2
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xM
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1
3
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dx
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dx
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dx
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0)0(0)0()0(1 qzUqzBBz xxx
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