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

Handbook of Utilization
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 command is very similar to that of
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 Goal ......................................................................................................................................................... 1
2 Syntax .................................................................................................................................................. 3
3 Operands ............................................................................................................................................. 6
3.1 Operands MODELS/CHAM_MATER/CARA_ELEM/MODE_STAT ................................................... 6
3.2 Key word EXCIT ................................................................................................................................. 6
3.2.1 Operands CHARGES/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 PILOTAGE ........................................................................................................................... 8
3.10
Key word SOLVEUR .................................................................................................................... 9
3.11
Key word ARCHIVAGE ................................................................................................................ 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 TITRATES .................................................................................................................. 11
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2 Syntax


will dynatra [evol_noli] = DYNA_TRAN_EXPLI


(reuse = will dynatra,


MODELE
= Mo,
[model]



CHAM_MATER
=
chmat,
[cham_mater]


MODE_STAT

=
modestat,
[mode_stat_depl]


CARA_ELEM

=
carac,
[cara_elem]


EXCIT =_F (TYPE_CHARGE
=
/“FIXE_CSTE”
, [DEFAUT]
/
“FIXE_PILO”,
/
“SUIV”,
/
“DIDI”,








CHARGE
=
chi
,
[char_meca]







/FONC_MULT
= fi
, [function]
/
DEPL =
depl,
[function]
VITE =
quickly,
[function]
ACCE =
acce,
[function]







MULT_APPUI =/“YES”,












/
“NON”,
[DEFAUT]







DIRECTION
= (d1, d2, d3),
[l_R]







NOEUD
=
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,
[DEFAUT]








REAC_VITE
=/“OUI”,
[DEFAUT]













/“NON”,







),

PROJ_MODAL
=_F (








MODE_MECA = mode,
[mode_meca]








NB_MODE =/nbmode, [I]
/
9999,
[DEFAUT]







),

| COMP_INCR =_F (see [U4.51.11])


|
COMP_ELAS =_F (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]
|
VITE =
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, [DEFAUT]

/
prec,
[R]
CRITERION =/“RELATIVE”, [DEFECT]
/
“ABSOLU”,










NUME_DIDI

= nudidi,
[I]
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INST_ETAT_INIT
=
istetaini, [R]
),

INCREMENT =_F (
LIST_INST
=
litps,


[listr8]

EVOLUTION
=/“CHRONOLOGIQUE”,
[DEFAUT]
/“RETROGRADE”,
/“SANS”,

/
NUME_INST_INIT
=
nuini,
[I]
/
INST_INIT
=
instini,
[R]
/NUME_INST_FIN

= nufin,
[I]
/INST_FIN

= instfin, [R]






PRECISION
=
/
1.0E-3, [DEFAUT]
/
prec,
[R]

SUBD_PAS
=
/
1,
[DEFAUT]

/subpas
, [I]

SUBD_PAS_MINI
=
submini,
[R]

COEF_SUBD_PAS_1
=/1.,
[DEFAUT]
/
coefsub,
[R]

OPTI_LIST_INST: /“INCR_MAXI”,
[DEFAUT]

NOM_CHAM
:
nomch,
[KN]

NOM_CMP:
nomcmp, [kN]

VALE:
valley
,
[R]






),

RECH_LINEAIRE
=_F (
RESI_LINE_RELA =/1.E-1,
[DEFAUT]
/
reslin
,
[R]
ITER_LINE_MAXI =/3,
[DEFAUT]
/

itelin, [I]

),



PARM_THETA =/1., [DEFAUT]
/
theta,
[R]

CONTROL =_F (STANDARD =/“DDL_IMPO”,










/
“LONG_ARC”,

/
NOEUD
= No,
[node]
/
GROUP_NO
=
grno,
[gr_noeud]

NOM_CMP: nomcmp, [kN]
/“DEFORMATION”,
/“PRED_ELAS_INCR”,
/“PRED_ELAS”,
/TOUT =

“OUI”,
[DEFAUT]
/
GROUP_MA
=
lgrma,
[l_gr_maille]
/
MAILLE
=
lma, [l_maille]



COEF_MULT
=
/
1.,
[DEFAUT]
/
cmult,
[R]
ETA_PILO_MAX = eta max, [R]

ETA_PILO_MIN = eta
min,
[R]






)


SOLVEUR =_F (see the document [U4.50.01]),
ARCHIVAGE
=_F
(



/
LIST_INST
=
list_r8,
[listr8]
/
INST =
l_r8,
[R]
/
PAS_ARCH
=
npas,


[I]
PRECISION
=
/

1.E-3,
[DEFAUT]
/
prec
,
[R]
/ARCH_ETAT_INIT = “YES”,
/
NUME_INIT
=
nuinit, [I]
DETR_NUME_SUIV = “YES”,
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CHAM_EXCLU =
| “DEPL”,

| “VITE”,

| “ACCE”,
| “SIEF_ELGA”,
| “VARI_ELGA”,
| “VARI_NON_LOCAL”,
| “LANL_ELGA”,
),


OBSERVATION
=_F
(








NOM_CHAM = |
“DEPL”,













|
“VITE”,













|
“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]








/ | NOEUD
= lno

,
[l_noeud]










| GROUP_NO = lgmo,
[l_gr_noeud]
/
MAILLE
=
lma
,
[l_maille]
POINT
=
lpoint
,
[l_I]











),

LAGR_NON_LOCAL =_F
(
ITER_PRIM_MAXI =/10,
[DEFAUT]
/iterprimmax,
[I]
RESI_PRIM_ABSO = resiprimab,

[R]
ITER_DUAL_MAXI =/50,
[DEFAUT]
/
iterdmax,
[I]

RESI_DUAL_ABSO

=
residabso, [R]
R


=
/
1000.,
[DEFAUT]
/rho
, [R]
)

SOLV_NON_LOCAL =_F (see the document [U4.50.01]
)


INFO =
/1,
[DEFAUT]





/2,


TITER
=
tx,
[KN]

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3 Operands

3.1 Operands
MODEL/CHAM_MATER/CARA_ELEM/MODE_STAT

MODELE = 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 is the mechanical loading (possibly comprising the evolution of a field of
I
temperature) specified with the ième occurrence of EXCIT.

Only one load can comprise the evolution of a field of temperature, which will have
previously be defined thanks to key word TEMP_CALCULEE of the command
AFFE_CHAR_MECA.


FONC_MULT = fi

F is the multiplying function of the time of the loading specified with the ième occurrence of
I
EXCIT.

The loading and boundary conditions for N occurrences of the key word factor EXCIT
are:

N
CH = F CH
I
I
I
= 1

For the conditions of DIRICHLET, of course, only the specified value is multiplied by
F.
I

By defect: F = 1.
I

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 tchi is worth “FIXE_PILO”, the loading is always fixed (independent of the geometry)
but will be controlled thanks to key word PILOTAGE [§3.11].

The loads controllable must result from AFFE_CHAR_MECA or
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 is worth
I
“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 this one, 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 chi
depends on time (defined in AFFE_CHAR_MECA_F and parameterized by the moment).

Currently the loadings which can be qualified “SUIV” are the loading
of gravity for the element of CABLE_POULIE, the 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” the 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 an imposed displacement (key word DDL_IMPO of AFFE_CHAR_MECA)
the condition will be form: U - U = D
0
where u0 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: “OUI”), 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 constraints (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 the 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 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 constraints (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 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 VITE miss, one supposes that the initial state is with displacements, speeds and
constraints null, and one calculates accelerations corresponding to the loading at the moment
instini defined by operand INST. The other operands of 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. The operands of key word INCREMENT have the same one
significance that in the document [U4.51.03].

3.8 Operand
PARM_THETA

PARM_THETA
=
/
1.
[DEFAUT]
/
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
PILOTAGE


PILOTAGE =_F

When the 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), key word PILOTAGE makes it possible to control this loading via one
node (or node groups) on which one can impose various modes of control (key word
TYPE). The operands of key word PILOTAGE have the same significance as in the document
[U4.51.03]. However, this option also activates with DYNA_TRAN_EXPLI is to be used there 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 commands is described in the document [U4.50.01].

3.11 Word
key
ARCHIVAGE


ARCHIVAGE =_F

Allows to file or certain results with all or certain moments of calculation.
In the absence of this key word all the steps of time are filed, including the moments of calculations
lately created by automatic recutting of the step of time. Operands of the key word
ARCHIVAGE 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 “OUI”, one modifies the correct force of modal damping to each iteration
intern of NEWTON defined in key word NEWTON [§3.8].
If its value is “NON”, one updates this term only to the beginning of each step of time.

Note:

In the case of DYNA_TRAN_EXPLI, there is only one internal iteration of NEWTON.
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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,
[DEFAUT]
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 ARCHIVAGE [§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 PAS in ARCHIVAGE [§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].
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U4.5- booklet: Methods of resolution
HT-62/06/004/A

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

3.17 Operand
INFO

INFO
=
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 constraints.

inf =
1 impression of the list of the nodes in contact after convergence with each
iteration of Newton.

= 2
idem 1 plus impression of associations/dissociations of nodes enters
iterations of the method of the active constraints.

Other impressions are made systematically during nonlinear calculation, independently
value assigned to key word INFO: they are the impressions of the residues and the increments
relative of displacement during iterations of Newton.

3.18 Operand
TITER

TITER = tx

tx is the title of calculation. It will be printed at the head results. See [U4.03.01].

Handbook of Utilization
U4.5- booklet: Methods of resolution
HT-62/06/004/A

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

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Handbook of Utilization
U4.5- booklet: Methods of resolution
HT-62/06/004/A

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