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Organization (S):
EDF-R & D/AMA














Instruction manual
U4.5- booklet: Methods of resolution
Document: U4.53.03



Operator
DYNA_TRAN_EXPLI








1 Goal
To calculate the dynamic evolution of a structure whose material or geometry has a behavior
nonlinear. They can be for example nonlinearities of material (plasticity or geometry
(great displacements)) [R5.05.05]. The syntax of this control is very similar to that of
the operator
STAT_NON_LINE
[U4.51.03] and
DYNA_NON_LINE
[U4.53.01]. The essential difference
with
DYNA_NON_LINE
is the resolution which is done by an explicit method on accelerations.
The dynamic evolution is studied starting from an initial state, configuration of reference, which can be
produced by a quasi-static analysis (operator
STAT_NON_LINE
[U4.51.03]) or dynamics
former (operators
DYNA_NON_LINE
and
DYNA_TRAN_EXPLI
).
The dynamic evolution can be studied in several successive work, by a continuation to be left
from one moment already calculated, if a data base were defined in the profile of study of the user.
Product a concept of the evol_noli type.
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Count
matters
1
......................................................................................................................................................... 1 drank
2
Syntax .................................................................................................................................................. 3
3
Operands ............................................................................................................................................. 6
3.1
Operands
MODEL
/
CHAM_MATER
/
CARA_ELEM
/
MODE_STAT
................................................... 6
3.2
Key word
EXCIT
................................................................................................................................. 6
3.2.1
Operands
CHARGE
/
FONC_MULT
......................................................................................... 6
3.2.2
Operand
TYPE_CHARGE
....................................................................................................... 7
3.2.3
Operands
MULT_APPUI
/
ACCE
/
QUICKLY
/
DEPL
/
DIRECTION
/
NODE
/
GROUP_NO
............ 7
3.3
Description of the diagram of integration in time ............................................................................... 7
3.4
Key word
COMP_INCR
......................................................................................................................... 7
3.5
Key word
COMP_ELAS
......................................................................................................................... 8
3.6
Key word
ETAT_INIT
......................................................................................................................... 8
3.7
Key word
INCREMENT
......................................................................................................................... 8
3.8
Operand
PARM_THETA
.................................................................................................................. 8
3.9
Key word
PILOTING
........................................................................................................................... 8
3.10
Key word
SOLVEUR
.................................................................................................................... 9
3.11
Key word
FILING
................................................................................................................ 9
3.12
Key word AMOR_MODAL ............................................................................................................. 9
3.12.1
Operands MODE_MECA/AMOR_REDUIT/NB_MODE ................................................ 9
3.12.2
Operand REAC_VITE ............................................................................................... 9
3.13
Key word PROJ_MODAL ........................................................................................................... 10
3.14
Key word OBSERVATION ......................................................................................................... 10
3.14.1
Operands LIST_ARCH/LIST_INST/INST/PAS_OBSE .................................... 10
3.14.2
Operands NOM_CHAM/NOM_CMP ........................................................................... 10
3.14.3
Operands NODE/GROUP_NO ............................................................................... 10
3.14.4
Operands NETS/NOT .................................................................................... 10
3.15
Operand
SOLV_NON_LOCAL
.............................................................................................. 10
3.16
Operand
LAGR_NON_LOCAL
.............................................................................................. 10
3.17
Operand
INFORMATION
.................................................................................................................... 11
3.18
Operand
TITRATE
.................................................................................................................. 11
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2 Syntax
will dynatra [evol_noli] = DYNA_TRAN_EXPLI
(
reuse = will dynatra,
MODEL
= Mo,
[model]
CHAM_MATER
=
chmat,
[cham_mater]
MODE_STAT
=
modestat,
[mode_stat_depl]
CARA_ELEM
=
carac,
[cara_elem]
EXCIT =_F (
TYPE_CHARGE
=
/“FIXE_CSTE”
, [DEFECT]
/
“FIXE_PILO”,
/
“SUIV”,
/
“DIDI”,
CHARGE
=
chi
,
[char_meca]
/FONC_MULT
= fi
, [function]
/
DEPL =
depl,
[function]
QUICKLY =
quickly,
[function]
ACCE =
acce,
[function]
MULT_APPUI =/“YES”,
/
“NOT”,
[DEFECT]
DIRECTION
= (d1, d2, d3),
[l_R]
NODE
=
lno
,
[l_noeud]
GROUP_NO
=
lgrno,
[l_gr_noeud]
),
AMOR_MODAL
=_F (
MODE_MECA =
mode,
[mode_meca]
AMOR_REDUIT
=
l_amor, [l_R]
NB_MODE =/nbmode, [I]
/
9999,
[DEFECT]
REAC_VITE
=/“YES”,
[DEFECT]
/“NOT”,
),
PROJ_MODAL
=_F (
MODE_MECA =
mode,
[mode_meca]
NB_MODE =/nbmode, [I]
/
9999,
[DEFECT]
),
|
COMP_INCR =_F (
to see [U4.51.11]
)
|
COMP_ELAS =_F (
to see (U4.51.11]
),
ETAT_INIT
=_F
(
/
|
SIGM =
sig,
[cham_elem_SIEF_R]
[carte_SIEF_R]
|
VARI =
vain,
[cham_elem_VARI_R]
|
DEPL =
depl,
[cham_no_DEPL_R]
|
QUICKLY =
quickly,
[cham_no_DEPL_R]
|
VARI_NON_LOCAL = vanolo
, [cham_no_VANL_R]
/
EVOL_NOLI
=
evol,
[evol_noli]
/NUME_ORDRE
= nuini,
[I]
/
INST =
instini,
[R]
PRECISION
=/1.0E-3, [DEFECT]
/
prec,
[R]
CRITERION =/“RELATIVE”, [DEFECT]
/
“ABSOLUTE”,
NUME_DIDI
= nudidi,
[I]
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INST_ETAT_INIT
=
istetaini, [R]
),
INCREMENT =_F
(
LIST_INST
=
litps,
[listr8]
EVOLUTION
=/“CHRONOLOGICAL”,
[DEFECT]
/“RETROGRESSES”,
/“WITHOUT”,
/
NUME_INST_INIT
=
nuini,
[I]
/
INST_INIT
=
instini,
[R]
/NUME_INST_FIN
= nufin,
[I]
/INST_FIN
= instfin, [R]
PRECISION
=
/
1.0E-3, [DEFECT]
/
prec,
[R]
SUBD_PAS
=
/
1,
[DEFECT]
/subpas
, [I]
SUBD_PAS_MINI
=
submini,
[R]
COEF_SUBD_PAS_1
=/1.,
[DEFECT]
/
coefsub,
[R]
OPTI_LIST_INST: /“INCR_MAXI”,
[DEFECT]
NOM_CHAM
:
nomch,
[KN]
NOM_CMP:
nomcmp, [kN]
VALE:
valley
,
[R]
),
RECH_LINEAIRE
=_F (
RESI_LINE_RELA
=
/
1.E-1,
[DEFECT]
/
reslin
,
[R]
ITER_LINE_MAXI
=
/
3,
[DEFECT]
/
itelin, [I]
),
PARM_THETA =/1., [DEFECT]
/
theta,
[R]
PILOTING =_F (
TYPE =/
“DDL_IMPO”,
/
“LONG_ARC”,
/
NODE
= No,
[node]
/
GROUP_NO
=
grno,
[gr_noeud]
NOM_CMP: nomcmp, [kN]
/
“DEFORMATION”,
/
“PRED_ELAS_INCR”,
/
“PRED_ELAS”,
/ALL =
“YES”,
[DEFECT]
/
GROUP_MA
=
lgrma,
[l_gr_maille]
/
NET
=
lma, [l_maille]
COEF_MULT
=
/
1.,
[DEFECT]
/
cmult,
[R]
ETA_PILO_MAX = eta max,
[R]
ETA_PILO_MIN = eta
min,
[R]
)
SOLVEUR =_F (
to see the document [U4.50.01]
),
FILING
=_F
(
/
LIST_INST
=
list_r8,
[listr8]
/
INST =
l_r8,
[R]
/
PAS_ARCH
=
npas,
[I]
PRECISION
=
/
1.E-3,
[DEFECT]
/
prec
,
[R]
/ARCH_ETAT_INIT = “YES”,
/
NUME_INIT
=
nuinit, [I]
DETR_NUME_SUIV = “YES”,
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CHAM_EXCLU =
|
“DEPL”,
|
“QUICKLY”,
|
“ACCE”,
|
“SIEF_ELGA”,
|
“VARI_ELGA”,
|
“VARI_NON_LOCAL”,
|
“LANL_ELGA”,
),
OBSERVATION
=_F
(
NOM_CHAM = |
“DEPL”,
|
“QUICKLY”,
|
“ACCE”,
|
“DEPL_ABSOLU”,
|
“VITE_ABSOLU”,
|
“ACCE_ABSOLU”,
|
“SIEF_ELGA”,
|
“VARI_ELGA”,
NOM_CMP =
lnocmp,
[l_Kn]
/LIST_ARCH
= larch,
[listis]
/
LIST_INST
=
linst
,
[listr8]
/
INST =
linst
,
[l_R]
/
PAS_OBSE
=
not
,
[I]
/ | NODE
= lno
,
[l_noeud]
| GROUP_NO = lgmo,
[l_gr_noeud]
/
NET
=
lma
,
[l_maille]
NOT
=
lpoint
,
[l_I]
),
LAGR_NON_LOCAL =_F
(
ITER_PRIM_MAXI =/10,
[DEFECT]
/iterprimmax,
[I]
RESI_PRIM_ABSO
= resiprimab,
[R]
ITER_DUAL_MAXI =/50,
[DEFECT]
/
iterdmax,
[I]
RESI_DUAL_ABSO
=
residabso, [R]
R
=
/
1000.,
[DEFECT]
/rho
, [R]
)
SOLV_NON_LOCAL =_F (
to see the document [U4.50.01]
)
INFORMATION =
/1,
[DEFECT]
/2,
TITRATE
=
tx,
[KN]
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3 Operands
3.1 Operands
MODEL
/
CHAM_MATER
/
CARA_ELEM
/
MODE_STAT
MODEL = Mo
Name of the model whose elements are the subject of mechanical calculation.
CHAM_MATER = chmat
Name of the affected material field on the model
Mo.
CARA_ELEM = carac
Name of the characteristics of the elements of hull, beam, bars, discrete cable, and elements
affected on the model
Mo
, if necessary.
MODE_STAT = modestat
Name of the static mode necessary in the case of a seismic calculation with excitations multi-supports
[R4.05.01].
3.2 Word
key
EXCIT
EXCIT =_F
This key word factor makes it possible to describe with each occurrence a load (stresses and conditions
with the limits), and possibly a multiplying coefficient and/or a type of load.
3.2.1 Operands
CHARGE
/
FONC_MULT
CHARGE = chi
CH
I
is the mechanical loading (possibly comprising the evolution of a field of
temperature) specified with I
ème
occurrence of
EXCIT
.
Only one load can comprise the evolution of a field of temperature, which will have
previously be defined thanks to the key word
TEMP_CALCULEE
control
AFFE_CHAR_MECA
.
FONC_MULT = fi
F
I
is the multiplying function of the time of the loading specified with I
ème
occurrence of
EXCIT
.
The loading and boundary conditions for
N
occurrences of the key word factor
EXCIT
are:
CH
F CH
I
I
I
1
N
=
=
For the conditions of DIRICHLET, of course, only the specified value is multiplied by
F
I
.
By defect:
F
I
= 1.
The field of temperature is not multiplied by
F
I
.
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3.2.2 Operand
TYPE_CHARGE
TYPE_CHARGE = tchi
By defect,
tchi
is worth
“FIXE_CSTE”
: that corresponds to a loading applied to
initial geometry and not controlled. It can however be a function, and depend in particular
time.
If
tch
I
is worth
“FIXE_PILO”
, the loading is always fixed (independent of the geometry)
but will be controlled thanks to the key word
PILOTING
[§3.11].
The loads controllable must result from
AFFE_CHAR_MECA
or
of
AFFE_CHAR_MECA_F
and not to be affected key word
FONC_MULT
. One cannot
to control the loadings of gravity, the centrifugal force, the forces of Laplace, them
thermal loadings or of initial or anelastic deformations, and conditions
of connection.
If
tch
I
is worth
“SUIV”
, the loading is known as “follower”, i.e. it depends on the value
unknown factors: for example, pressure, being a loading applying in the direction
normal with a structure, depends on the geometry brought up to date of the aforementioned, and thus of
displacements. A following loading is revalued with each iteration of the algorithm of
resolution. A fixed loading is revalued only at each new moment, and only if
CH
I
depends on time (defined in
AFFE_CHAR_MECA_F
and parameterized by the moment).
Currently the loadings which can be described as
“SUIV”
are the loading
of gravity for the element of
CABLE_POULIE
, pressure for modelings
3D
,
3d_SI
,
D_PLAN
,
D_PLAN_SI
,
AXIS
,
AXIS_SI
,
C_PLAN
,
C_PLAN_SI
and for all them
modelings
THM
(
3d_HHM
,
3d_HM
,
3d_JOINT_CT
,
3d_THH
,
3d_THHM
,
3d_THM
,
AXIS_HHM
,
AXIS_HM
,
AXIS_THH
,
AXIS_THHM
,
AXIS_THM
,
D_PLAN_HHM
,
D_PLAN_HM
,
D_PLAN_THH
,
D_PLAN_THHM
,
D_PLAN_THM)
and the centrifugal force into large
displacements (key word
ROTATION
in
AFFE_CHAR_MECA
).
If
tchi
is worth
“DIDI”
then conditions of DIRICHLET (imposed displacements, conditions
linear) will apply to the increment of displacement as from the moment given under
ETAT_INIT/NUME_DIDI
(by defect the moment of resumption of calculation) and not on displacement
total. For example for a displacement imposed (key word
DDL_IMPO
of
AFFE_CHAR_MECA
)
the condition will be form:
U
U
D
-
=
0
where
U
0
is the displacement defined by
NUME_DIDI
and not:
U
D
=
.
3.2.3 Operands
MULT_APPUI
/
ACCE
/
QUICKLY
/
DEPL
/
DIRECTION
/
NODE
/
GROUP_NO
In the case of an excitation multi-supports (
MULT_APPUI: “YES”
), the other operands have
exactly same significance as in the key word factor
EXCIT
of the operator
DYNA_TRAN_MODAL
[U4.53.21].
3.3
Description of the diagram of integration in time
Currently in
DYNA_TRAN_EXPLI
, only the diagram of the centered differences, one of the versions
explicit of the diagram of Newmark, is available. For more detail to see the documentation of
reference [R5.05.06].
3.4 Word
key
COMP_INCR
|
COMP_INCR =_F
This key word factor gathers the relations of behavior connecting of the rates of deformations to
rates of stresses (incremental behavior). One can have in same calculation
certain parts of the structure obeying with various incrémentaux behaviors
(
COMP_INCR
) and other parts obeying with various elastic behaviors (
COMP_ELAS
).
All incremental relations of behavior supported by
STAT_NON_LINE
are
available also in
DYNA_TRAN_EXPLI
, provided that the calculation of the matrix of
mass elements concerned is envisaged. One will thus refer to the document [U4.51.11]
for a description of the relations of behavior available (operand
RELATION
) thus
that other operands of the key word
COMP_INCR
.
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3.5 Word
key
COMP_ELAS
|
COMP_ELAS =_F
This key word factor gathers the relations of behavior connecting the deformations (taken by
report/ratio in an initial state of reference) and the stresses (elastic behavior). All them
incremental relations of behavior supported by
STAT_NON_LINE
are available
also in
DYNA_TRAN_EXPLI
, provided that the calculation of the matrix of mass of
elements concerned is envisaged. One will thus refer to the document [U4.51.11] for one
description of the relations of behavior available (operand
RELATION
) as well as
other operands of the key word
COMP_ELAS
.
3.6 Word
key
ETAT_INIT
ETAT_INIT =_F
Under this key word the initial conditions of the problem are defined. If key words
EVOL_NOLI
,
DEPL
, and
QUICKLY
miss, one supposes that the initial state is with displacements, speeds and
stresses null, and one calculates accelerations corresponding to the loading at the moment
instini
defined by operand INST. Other operands of the key word
ETAT_INIT
have the same one
significance that in the document [U4.51.03].
3.7 Word
key
INCREMENT
INCREMENT =_F
The list of the moments of calculation defines. Operands of the key word
INCREMENT
have the same one
significance that in the document [U4.51.03].
3.8 Operand
PARM_THETA
PARM_THETA
=
/
1.
[DEFECT]
/
theta
For modelings
THM
, the argument
theta
is the parameter of the theta-method used for
to solve the evolutionary equations of thermics and hydraulics (cf [R5.03.60] for more
details). Its value must lie between 0 (explicit method) and 1 (method completely
implicit).
For certain laws of behaviors, the argument
theta
is used for integration. It can take them
values 0.5 or 1.
To refer, for more details with [U4.53.01].
3.9 Word
key
PILOTING
PILOTING =_F
When intensity
of part of the loading is not known a priori (loading known as of
reference defined in
AFFE_CHAR_MECA
or
AFFE_CHAR_MECA_F
with load of the type
FIXE_PILO
), the key word
PILOTING
allows to control this loading via one
node (or node groups) on which one can impose various modes of piloting (key word
TYPE
). Operands of the key word
PILOTING
have the same significance as in the document
[U4.51.03]. However, this option also activates with
DYNA_TRAN_EXPLI
y is to be used with
reserve owing to the fact that time has a physical and nonvirtual significance: it is not useful
primarily with indicer increments of load as with
STAT_NON_LINE
.
Caution:
With
FIXE_PILO
, one cannot use for the loading of reference the key word
FONCT_MULT
.
Caution:
When the loading of reference is defined by AFFE_CHAR_MECA_F, this loading
can be a function of the variables of space but not of time.
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3.10 Word
key
SOLVEUR
The syntax of this key word common to several controls is described in the document [U4.50.01].

3.11 Word
key
FILING
FILING =_F
Allows to file or certain results with all or certain moments of calculation.
In the absence of this key word all the pitches of time are filed, including the moments of calculations
lately created by automatic recutting of the pitch of time. Operands of the key word
FILING
have the same significance as in the document [U4.51.03].
3.12 Word
key
AMOR_MODAL
This key word makes it possible to take into account a damping equivalent to modal damping
broken up on a basis of modes precalculated in the form of concept of the mode_meca type. This
damping is taken overall into account in the dynamic equilibrium equation like one
correct force with the second member
-
CX
&.
3.12.1 Operands MODE_MECA/AMOR_REDUIT/NB_MODE
MODE_MECA
= mode
AMOR_REDUIT = l_amor
NB_MODE = nbmode
The concept mode of the mode_meca type (entered by operand MODE_MECA) represents the base of
modes precalculated on which one breaks up modal damping. This base must
imperatively to have the same profile of classification as that of the dynamic system defined by
parameters of key word SOLVEUR [§3.12]. It be possible to truncate the modal base with one
a number of modes defined by NB_MODE. Failing this, one takes all the modes of the modal base.
Modal depreciation in reduced form is given in the form of a list of realities of which
the number of terms is lower or equal to the number of modes taken into account. If the number of
terms of the list is strictly lower, one extends this list with the value of its last term
until its size reaches the number of calculated modes.
3.12.2 Operand REAC_VITE
If its value is “YES”, one modifies the correct force of modal damping to each iteration
intern of NEWTON defined in the key word NEWTON [§3.8].
If its value is “NOT”, one updates this term only to the beginning of each pitch of time.
Note:
In the case of DYNA_TRAN_EXPLI, there is only one internal iteration of NEWTON.
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Instruction manual
U4.5- booklet: Methods of resolution
HT-62/06/004/A
3.13 Word
key
PROJ_MODAL
This key word makes it possible to make calculation on a beforehand calculated modal basis.
MODE_MECA =
mode,
[mode_meca]
NB_MODE =/nbmode, [I]
/
9999,
[DEFECT]
One specifies the modal base to use (MODE_MECA) and numbers it modes (NB_MODE).
Important remark:
The modal base must be based on a coherent classification with that of the evolution
calculated (cf [§ 3.14]): even profile of classification.
3.14 Word
key
OBSERVATION
This key word makes it possible post-to treat certain fields with the nodes or the elements on parts of
model at moments of a list (known as of observation) generally more refined than the list of
moments filed defined in the key word FILING [§3.14] (where one stores all the fields on all it
model). It is used primarily for economies of storage.
This key word is répétable and allows the creation of a table of of the same observation name than the concept
result of DYNA_TRAN_EXPLI.
3.14.1 Operands LIST_ARCH/LIST_INST/INST/PAS_OBSE
These operands make it possible to define in the choices a list of moments of observation. They have the same one
significance that of the same operands name being used to define a list of filing. PAS_OBSE
playing the same part as NOT in FILING [§3.14].
3.14.2 Operands NOM_CHAM/NOM_CMP
These operands make it possible to define the fields post-to be treated like their components given
by their name (by NOM_CMP).
3.14.3 Operands NODE/GROUP_NO
These operands make it possible to define the nodes of postprocessing for fields in the nodes
(“DEPL”, “QUICKLY”, “ACCE”, “DEPL_ABSOLU”, “VITE_ABSOLU”, “ACCE_ABSOLU”).
3.14.4 Operands NETS/NOT
These operands which go hand in hand make it possible to define the meshs of postprocessing and their points
of extraction for fields with the elements (“SIEF_ELGA” or “VARI_ELGA”).
3.15 Operand
SOLV_NON_LOCAL
The syntax of this key word is identical to key word SOLVEUR describes in the document [U4.50.01]. With
to use for a nonlocal model.
3.16 Operand
LAGR_NON_LOCAL
See Doc. [U4.51.03].
background image
Code_Aster
®
Version
8.2
Titrate:
Operator
DYNA_TRAN_EXPLI
Date:
22/02/06
Author (S):
E. BOYERE, G. DEVESA
Key
:
U4.53.03-B1
Page:
11/12
Instruction manual
U4.5- booklet: Methods of resolution
HT-62/06/004/A
3.17 Operand
INFORMATION
INFORMATION
=
inf
Allows to carry out in the file message various intermediate impressions in the presence of
unilateral contact treaty by the method of the active stresses.
inf =
1
impression of the list of the nodes in contact after convergence with each
iteration of Newton.
= 2
idem
1
more impression of associations/dissociations of nodes enters
iterations of the method of the active stresses.
Other impressions are made systematically during nonlinear calculation, independently
value assigned to the key word
INFORMATION
: they are the impressions of the residues and the increments
relative of displacement during iterations of Newton.

3.18 Operand
TITRATE
TITRATE = tx
tx
is the title of calculation. It will be printed at the head results. See [U4.03.01].
background image
Code_Aster
®
Version
8.2
Titrate:
Operator
DYNA_TRAN_EXPLI
Date:
22/02/06
Author (S):
E. BOYERE, G. DEVESA
Key
:
U4.53.03-B1
Page:
12/12
Instruction manual
U4.5- booklet: Methods of resolution
HT-62/06/004/A

























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