This manual is intended for qualified users who will exercise sound e ngineering judgment and experti se in the use of the ABAQUS Software. The ABAQUS
Software is inherently complex, and the examp les and procedures in this manual are not intended to be exhaustive or to apply to any particular situation.
Users are cautioned to satisfy themselves as to the accuracy and results of their analyses.
ABAQUS, Inc. will not be responsible for the accuracy or usefulness of any analysis performed using the ABAQUS Software or the procedures, examples,
or explanations in this manual. ABAQUS, Inc. shall not be responsible for the consequences of any errors or omissions that ma y appear in this manual.
ABAQUS, INC. DISCLAIMS ALL EXPRESS OR IMPLIED REPRESENTATIONS AND WARRANTIES, INCLUDING ANY IMPLIED WARRANTY
OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE OF THE CONTENTS OF THIS MANUAL.
IN NO EVENT SHALL ABAQUS, INC. OR ITS THIRD-PARTY PROVIDERS BE LIABLE FOR ANY INDIRECT, INCIDENTAL, PUNITIVE,
SPECIAL, OR CONSEQUENTIAL DAMAGES (INCLUDING, WITHOUT LIMITATION, DAMAGES FOR LOSS OF BUSINESS PROFITS,
BUSINESS INTERRUPTION, OR LOSS OF BUSINESS INFORMATION) EVEN IF ABAQUS, INC. HAS BEEN ADVISED OF THE POSSIBILITY
OF SUCH DAMAGES.
The ABAQUS Software described in this manual is available only under license from ABAQUS, Inc. and may be used or reproduced only in accordance
with the terms of such license.
This manual and the software described in this manual are subje ct to change without prior notice.
No part of this manual may be reproduced or distributed in any form without prior written permission of ABAQUS, Inc.
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“commercial computer software documentation” and, consistent with FAR 12.212 and DFARS 227.7202, as applicable, are provided with restricted righ ts
in accordance with license terms.
TRADEMARKS
The trademarks and service marks (“trademarks”) in this manual are the property of ABAQUS, Inc. or third parties. You are not permitted to use these
trademarks without the prior written consent of ABAQUS, Inc. or such third parties.
The following are trademarks or registered trademarks of ABAQUS, Inc. or its subsidiaries in the United States and/or other countries:
ABAQUS, ABAQUS/Standard, ABAQUS/Explicit, ABAQUS/CAE, ABAQUS/Viewer, ABAQUS/Aqua, ABAQUS/Design, ABAQUS/Foundation,
ABAQUS/AMS, ABAQUS for CATIA V5, VCCT for ABAQUS, DDAM for ABAQUS, Unified FEA, and the ABAQUS Logo. The 3DS logo and
SIMULIA are trademarks of Dassault Systèmes.
Other company, product, and service names m ay be trademarks or service marks of their respective owners.For additional information
concerning trademarks, copyrights, and licenses, see the Legal Notices in the ABAQUS Version 6.6 Release Notes and the notices at
http://www.abaqus.com/products/products_lega l.html.
Cover image: bolted joint in an ai rcraft brake courtesy Honeywell Landing Systems.
ABAQUS Offices and Representatives
ABAQUS, Inc.Rising Sun Mills, 166 Valley Street, Providence, RI 02909–2499, Tel: +1 401 276 4400,
ABAQUS Europe BVGaetano Martinolaan 95, P. O. Box 1637, 6201 BP Maastricht, The Netherlands, Tel: +31 43 356 6906,
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United KingdomABAQUS UK Ltd., Sevenoaks, Kent, Tel: +44 1 732 834930, hotline@abaqus.co.uk
Complete contact information is available at http://www.abaqus.com.
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ABAQUS West, Rocky Mountains Office, Boulder, CO, Tel: +1 303 664 5444, Info@AbaqusWest.com
Preface
This section lists various resources that are available for help with using ABAQUS.
Support
ABAQUS, Inc., offers both technical engineering support (for problems with creating a model or performing
an analysis) and sy stems support (for installat ion, licensing, and hardware-related problems) for ABAQUS
through a network of local support offices. Contact information is listed in the front of each ABAQUS manual.
ABAQUS Online Support System
The ABAQUS Online Support System (AOSS) has a knowledge database of ABAQUS Answers. The
ABAQUS Answers are solutions to questions that we have had to answer or guidelines on how to use
ABAQUS. You can also submit new requests for support in the AOSS. All support incidents are tracked in
the AOSS. If you are contacting us by means outside the AOSS to discuss an existing support problem and
you know the incident number, please mention it so tha t we can consult the database to see what the latest
action has been.
To use the AOSS, you need to register with the system. Visit the
Home Page for instructions on how to register.
Many questions about ABAQUS can also be answered by visiting the ABAQUS Home Page on the
World Wide Web at
http://www.abaqus.com
Anonymous ftp site
ABAQUS maintains useful documents on an anonymous ftp account on the computer ftp.abaqus.com. Login
as user anonymous, and type your e-mail address as your password.
My ABAQUS section of the ABAQUS
Trai nin g
All ABAQUS offices offer regularly scheduled public training classes. We also provide training seminars at
customer sites. All training classes and seminars include workshops to provide as much practical experience
with ABAQUS as possible. For a schedule and descriptions of available classes, see the ABAQUS Home
Page or call your local ABAQUS representative.
Feedback
We welcome any suggestions for improvements to ABAQUS software, the support program, or
documentation. We will ensure that any enhancement requests you make are considered for future releases.
If you wish to make a suggestion about the service or products provided by ABAQUS, refer to the ABAQUS
Home Page. Complaint s should be addressed by contacting your local office or through the ABAQUS Home
Page.
CONTENTS
Contents — Volume I
A
ACOUSTIC FLOW VELOCITY1.1
*
ACOUSTIC MEDIUM1.2
*
ACOUSTIC WAVE FORMULATION1.3
*
ADAPTIVE MESH1.4
*
ADAPTIVE MESH CONSTRAINT1.5
*
ADAPTIVE MESH CONTROLS1.6
*
AMPLITUDE1.7
*
ANNEAL1.8
*
ANNEAL TEMPERATURE1.9
*
AQUA1.10
*
ASSEMBLY1.11
*
ASYMMETRIC-AXISYMMETRIC1.12
*
AXIAL1.13
*
B
BASE MOTION2.1
*
BASELINE CORRECTION2.2
*
BEAM ADDED INERTIA2.3
*
BEAM FLUID INERTIA2.4
*
BEAM GENERAL SECTION2.5
*
BEAM SECTION2.6
*
BEAM SECTION GENERATE2.7
*
BIAXIAL TEST DATA2.8
*
BLOCKAGE2.9
*
BOND2.10
*
BOUNDARY2.11
*
BRITTLE CRACKING2.12
*
BRITTLE FAILURE2.13
*
BRITTLE SHEAR2.14
*
BUCKLE2.15
*
BUCKLING ENVELOPE2.16
*
BUCKLING LENGTH2.17
*
BUCKLING REDUCTION FACTORS2.18
*
BULK VISCOSITY2.19
*
v
CONTENTS
C
C ADDED MASS3.1
*
CAPACITY3.2
*
CAP CREEP3.3
*
CAP HARDENING3.4
*
CAP PLASTICITY3.5
*
CAST IRON C OMPRESSION HARDENING3.6
*
CAST IRON PLASTICITY3.7
*
CAST IRON TENSION HARDENING3.8
*
CAVITY DEFINITION3.9
*
CECHARGE3.10
*
CECURRENT3.11
*
CENTROID3.12
*
CFILM3.13
*
CFLOW3.14
*
CFLUX3.15
*
CHANGE FRICTION3.16
*
CLAY HARDENING3.17
*
CLAY PLASTICITY3.18
*
CLEARANCE3.19
*
CLOAD3.20
*
COHESIVE SECTION3.21
*
COMBINED TEST DATA3.22
*
COMPLEX FREQUENCY3.23
*
CONCRETE3.24
*
CONCRETE COMPRESSION DAMAGE3.25
*
CONCRETE COMPRESSION HARDENING3.26
*
CONCRETE DAMAGED PLASTICITY3.27
*
CONCRETE TENSION DAMAGE3.28
*
CONCRETE TENSION STIFFENING3.29
*
CONDUCTIVITY3.30
*
CONNECTOR BEHAVIOR3.31
*
CONNECTOR CONSTITUTIVE REFERENCE3.32
*
CONNECTOR DAMAGE EVOLUTION3.33
*
CONNECTOR DAMAGE INITIATION3.34
*
CONNECTOR DAMPING3.35
*
CONNECTOR DERIVED COM PONENT3.36
*
CONNECTOR ELASTICITY3.37
*
CONNECTOR FAILURE3.38
*
CONNECTOR FRICTION3.39
*
CONNECTOR HARDENING3.40
*
vi
CONTENTS
CONNECTOR LOAD3.41
*
CONNECTOR LOCK3.42
*
CONNECTOR MOTION3.43
*
CONNECTOR PLASTICITY3.44
*
CONNECTOR POTENTIAL3.45
*
CONNECTOR SECTION3.46
*
CONNECTOR STOP3.47
*
CONSTRAINT CONTROLS3.48
*
CONTACT3.49
*
CONTACT CLEARANCE3.50
*
CONTACT CLEARANCE ASSIGNMENT3.51
*
CONTACT CONTROLS3.52
*
CONTACT CONTROLS ASSIGNMENT3.53
*
CONTACT DAMPING3.54
*
CONTACT EXCLUSIONS3.55
*
CONTACT FILE3.56
*
CONTACT FORMULATION3.57
*
CONTACT INCLUSIONS3.58
*
CONTACT INTERFERENCE3.59
*
CONTACT OUTPUT3.60
*
CONTACT PAIR3.61
*
CONTACT PRINT3.62
*
CONTACT PROPERTY ASSIGNMENT3.63
*
CONTACT RESPONSE3.64
*
CONTOUR INTEGRAL3.65
*
CONTROLS3.66
*
CORRELATION3.67
*
CO-SIMULATION3.68
*
CO-SIMULATION REGION3.69
*
COUPLED TEMPERATURE-DISPLACEMENT3.70
*
COUPLED THERMAL-ELECTRICAL3.71
*
COUPLING3.72
*
CRADIATE3.73
*
CREEP3.74
*
CREEP STRAIN RATE CONTROL3.75
*
CRUSHABLE FOAM3.76
*
CRUSHABLE FOAM HARDENING3.77
*
CYCLED PLASTIC3.78
*
CYCLIC3.79
*
CYCLIC HARDENING3.80
*
CYCLIC SYMMETRY MODEL3.81
*
vii
CONTENTS
D
D ADDED MASS4.1
*
DAMAGE EVOLUTION4.2
*
DAMAGE INITIATION4.3
*
DAMAGE STABILIZATION4.4
*
DAMPING4.5
*
DASHPOT4.6
*
DEBOND4.7
*
DECHARGE4.8
*
DECURRENT4.9
*
DEFORMATION PLASTICITY4.10
*
DENSITY4.11
*
DEPVAR4.12
*
DESIGN GRADIENT4.13
*
DESIGN PARAMETER4.14
*
DESIGN RESPONSE4.15
*
DETONATION POINT4.16
*
DFLOW4.17
*
DFLUX4.18
*
DIAGNOSTICS4.19
*
DIELECTRIC4.20
*
DIFFUSIVITY4.21
*
DIRECT CYCLIC4.22
*
DISPLAY BOD Y4.23
*
DISTRIBUTION4.24
*
DISTRIBUTING4.25
*
DISTRIBUTING COUPLING4.26
*
DLOAD4.27
*
DRAG CHAIN4.28
*
DRUCKER PRAGER4.29
*
DRUCKER PRAGER CREEP4.30
*
DRUCKER PRAGER HARDENING4.31
*
DSA CONTROLS4.32
*
DSECHARGE4.33
*
DSECURRENT4.34
*
DSFLOW4.35
*
DSFLUX4.36
*
DSLOAD4.37
*
DYNAMIC4.38
*
DYNAMIC TEMPERATURE-DISPLACEMENT4.39
*
viii
CONTENTS
E
EL FILE5.1
*
EL PRINT5.2
*
ELASTIC5.3
*
ELCOPY5.4
*
ELECTRICAL CONDUCTIVITY5.5
*
ELEMENT5.6
*
ELEMENT MATRIX OUTPUT5.7
*
ELEMENT OUTPUT5.8
*
ELEMENT PROPERTIES5.9
*
ELEMENT RESPONSE5.10
*
ELGEN5.11
*
ELSET5.12
*
EMBEDDED ELEMENT5.13
*
EMISSIVITY5.14
*
END ASSEMBLY5.15
*
END INSTANCE5.16
*
END LOAD CASE5.17
*
END PART5.18
*
END STEP5.19
*
ENERGY FILE5.20
*
ENERGY OUTPUT5.21
*
ENERGY PRINT5.22
*
EOS5.23
*
EOS COMPACTION5.24
*
EOS SHEAR5.25
*
EPJOINT5.26
*
EQUATION5.27
*
EXPANSION5.28
*
EXTREME ELEMENT VALUE5.29
*
EXTREME NODE VALUE5.30
*
EXTREME VALUE5.31
*
F
FAIL STRAIN6.1
*
FAIL S TRES S6.2
*
FAILURE RATIOS6.3
*
FASTENER6.4
*
FASTENER PROPERTY6.5
*
FIELD6.6
*
FILE FORMAT6.7
*
ix
CONTENTS
FILE OUTPUT6.8
*
FILM6.9
*
FILM PROPERTY6.10
*
FILTER6.11
*
FIXED MASS SCALING6.12
*
FLOW6.13
*
FLUID BEHAVIOR6.14
*
FLUID BULK MODULUS6.15
*
FLUID CAVITY6.16
*
FLUID DENSITY6.17
*
FLUID EXCHANGE6.18
*
FLUID EXCHANGE ACTIVATION6.19
*
FLUID EXCHANGE PROPERTY6.20
*
FLUID EXPANSION6.21
*
FLUID FLUX6.22
*
FLUID INFLATOR6.23
*
FLUID INFLATOR ACTIVATION6.24
*
FLUID INFLATOR MIXTURE6.25
*
FLUID INFLATOR PROPERTY6.26
*
FLUID LEAKOFF6.27
*
FLUID LINK6.28
*
FLUID PROPERTY6.29
*
FOUNDATION6.30
*
FRACTURE CRITERION6.31
*
FRAME SECTION6.32
*
FREQUENCY6.33
*
FRICTION6.34
*
G
GAP7.1
*
GAP CONDUCTANCE7.2
*
GAP ELECTRICAL CONDUCTANCE7.3
*
GAP FLOW7.4
*
GAP HEAT GENERATION7.5
*
GAP RADIATION7.6
*
GASKET BEHAVIOR7.7
*
GASKET CONTACT AREA7.8
*
GASKET ELASTICITY7.9
*
GASKET SECTION7.10
*
GASKET THICKNESS BEHAVIOR7.11
*
GEL7.12
*
GEOSTATIC7.13
*
x
CONTENTS
H
HEADING8.1
*
HEAT GENERATION8.2
*
HEAT TRANSFER8.3
*
HEATCAP8.4
*
HOURGLASS STIFFNESS8.5
*
HYPERELASTIC8.6
*
HYPERFOAM8.7
*
HYPOELASTIC8.8
*
HYSTERESIS8.9
*
xi
CONTENTS
I
IMPEDANCE9.1
*
IMPEDANCE PROPERTY9.2
*
IMPERFECTION9.3
*
IMPORT9.4
*
IMPORT CONTROLS9.5
*
IMPORT ELSET9.6
*
IMPORT NSET9.7
*
INCIDENT WAVE9.8
*
INCIDENT WAVE FLUID PROPERTY9.9
*
INCIDENT WAVE INTERACTION9.10
*
INCIDENT WAVE INTERACTION PROPERTY9.11
*
INCIDENT WAVE PROPERTY9.12
*
INCIDENT WAVE REFLECTION9.13
*
INCLUDE9.14
*
INCREMENTATION OUTPUT9.15
*
INELASTIC HEAT FRACTION9.16
*
INERTIA RELIEF9.17
*
INITIAL CONDITIONS9.18
*
INSTANCE9.19
*
INTEGRATED OUTPUT9.20
*
INTEGRATED OUTPUT SECTION9.21
*
INTERACTION OUTPUT9.22
*
INTERACTION PRINT9.23
*
INTERFACE9.24
*
ITS9.25
*
Contents — Volume II
J
JOINT10.1
*
JOINT ELASTICITY10.2
*
JOINT PLASTICITY10.3
*
JOINTED MATERIAL10.4
*
JOULE HEAT FRACTION10.5
*
K
KAPPA11.1
*
KINEMATIC11.2
*
KINEMATIC COUPLING11.3
*
xii
CONTENTS
L
LATENT HEAT12.1
*
LOAD CASE12.2
*
M
MAP SOLUTION13.1
*
MASS13.2
*
MASS DIFFUSION13.3
*
MASS FLOW RATE13.4
*
MATERIAL13.5
*
MATRIX13.6
*
MATRIX ASSEMBLE13.7
*
MATRIX INPUT13.8
*
MEMBRANE SECTION13.9
*
MODAL DAMPING13.10
*
MODAL DYNAMIC13.11
*
MODAL FILE13.12
*
MODAL OUTPUT13.13
*
MODAL PRINT13.14
*
MODEL CHANGE13.15
*
MOHR COULOMB13.16
*
MOHR COULOMB HARDENING13.17
*
MOISTURE SWELLING13.18
*
MOLECULAR WEIGHT13.19
*
MONITOR13.20
*
MOTION13.21
*
MPC13.22
*
MULLINS EFFECT13.23
*
M113.24
*
M213.25
*
N
NCOPY14.1
*
NFILL14.2
*
NGEN14.3
*
NMAP14.4
*
NO COMPRESSION14.5
*
NO TENSION14.6
*
NODAL THICKNESS14.7
*
NODE14.8
*
xiii
CONTENTS
NODE FILE14.9
*
NODE OUTPUT14.10
*
NODE PRINT14.11
*
NODE RESPONSE14.12
*
NONSTRUCTURAL MASS14.13
*
NORMAL14.14
*
NSET14.15
*
O
ORIENTATION15.1
*
ORNL15.2
*
OUTPUT15.3
*
P, Q
PA RAMETER16.1
*
PA RAMETER DEPENDENCE16.2
*
PA RAMETER SHAPE VARIATION16.3
*
PART16.4
*
PERIODIC16.5
*
PERMEABILITY16.6
*
PHYSICAL CONSTANTS16.7
*
PIEZOELECTRIC16.8
*
PIPE-SOIL INTERACTION16.9
*
PIPE-SOIL STIFFNESS16.10
*
PLANAR TEST DATA16.11
*
PLASTIC16.12
*
PLASTIC AXIAL16.13
*
PLASTIC M116.14
*
PLASTIC M216.15
*
PLASTIC TORQUE16.16
*
POROUS BULK MODULI16.17
*
POROUS ELASTIC16.18
*
POROUS FAILURE CRITERIA16.19
*
POROUS METAL PLASTICITY16.20
*
POST OUTPUT16.21
*
POTENTIAL16.22
*
PREPRINT16.23
*
PRESSURE PENETRATION16.24
*
PRESSURE STRESS16.25
*
PRESTRESS HOLD16.26
*
PRE-TENSION SECTION16.27
*
xiv
CONTENTS
PRINT16.28
*
PSD-DEFINITION16.29
*
R
RADIATE17.1
*
RADIATION FILE17.2
*
RADIATION OUTPUT17.3
*
RADIATION PRINT17.4
*
RADIATION SYMMETRY17.5
*
RADIATION VIEWFACTOR17.6
*
RANDOM RESPONSE17.7
*
RATE DEPENDENT17.8
*
RATIOS17.9
*
REBAR17.10
*
REBAR LAYER17.11
*
REFLECTION17.12
*
RELEASE17.13
*
RESPONSE SPECTRUM17.14
*
RESTART17.15
*
RETAINED EIGENMODES17.16
*
RETAINED NODAL DOFS17.17
*
RIGID BODY17.18
*
RIGID SURFACE17.19
*
ROTARY INERTIA17.20
*
S
SECTION CONTROLS18.1
*
SECTION FILE18.2
*
SECTION ORIGIN18.3
*
SECTION POINTS18.4
*
SECTION PRINT18.5
*
SELECT CYCLIC SYMM ETRY MODES18.6
*
SELECT EIGENMODES18.7
*
SFILM18.8
*
SFLOW18.9
*
SHEAR CENTER18.10
*
SHEAR FAILURE18.11
*
SHEAR RETENTION18.12
*
SHEAR TEST DATA18.13
*
SHELL GENERAL SECTION18.14
*
SHELL SECTION18.15
*
SHELL TO SOLID COUPLING18.16
*
xv
CONTENTS
SIMPEDANCE18.17
*
SIMPLE SHEAR TEST DATA18.18
*
SLIDE LINE18.19
*
SLOAD18.20
*
SOILS18.21
*
SOLID SECTION18.22
*
SOLUBILITY18.23
*
SOLUTION TECHNIQUE18.24
*
SOLVER CONTROL S18.25
*
SORPTION18.26
*
SPECIFIC HEAT18.27
*
SPECTRUM18.28
*
SPRING18.29
*
SRADIATE18.30
*
STATIC18.31
*
STEADY STATE CRITERIA18.32
*
STEADY STATE DETECTION18.33
*
STEADY STATE DYNAMICS18.34
*
STEADY STATE TRANSPORT18.35
*
STEP18.36
*
SUBMODEL18.37
*
SUBSTRUCTURE COPY18.38
*
SUBSTRUCTURE DELETE18.39
*
SUBSTRUCTURE DIRECTORY18.40
*
SUBSTRUCTURE GENERATE18.41
*
SUBSTRUCTURE LOAD CASE18.42
*
SUBSTRUCTURE MATRIX OUTPUT18.43
*
SUBSTRUCTURE PATH18.44
*
SUBSTRUCTURE PROPERTY18.45
*
SURFACE18.46
*
SURFACE BEHAVIOR18.47
*
SURFACE FLAW18.48
*
SURFACE INTERACTION18.49
*
SURFACE PROPERTY18.50
*
SURFACE PROPERTY ASSIGNMENT18.51
*
SURFACE SECTION18.52
*
SWELLING18.53
*
SYMMETRIC MODEL GENERATION18.54
*
SYMMETRIC RESULTS TRANSFER18.55
*
SYSTEM18.56
*
xvi
CONTENTS
T
TEMPERATURE19.1
*
TENSILE FAILURE19.2
*
TENSION STIFFENING19.3
*
THERMAL EXPANSION19.4
*
TIE19.5
*
TIME POINTS19.6
*
TORQUE19.7
*
TORQUE PRINT19.8
*
TRACER PARTICLE19.9
*
TRANSFORM19.10
*
TRANSPORT VELOCITY19.11
*
TRANSVERSE SHEAR STIFFNESS19.12
*
TRIAXIAL TEST DATA19.13
*
TRS19.14
*
U
UEL PROPERTY20.1
*
UNDEX CHARGE PROPERTY20.2
*
UNIAXIAL TEST DATA20.3
*
USER DEFINED FIELD20.4
*
USER ELEMENT20.5
*
USER MATERIAL20.6
*
USER OUTPUT VARIABLES20.7
*
V
VARIABLE MASS SCALING21.1
*
VIEWFACTOR OUTPUT21.2
*
VISCO21.3
*
VISCOELASTIC21.4
*
VISCOUS21.5
*
VOID NUCLEATION21.6
*
VOLUMETRIC TEST DATA21.7
*
W, X, Y, Z
WAVE22.1
*
WIND22.2
*
xvii
9.I
I
IMPEDANCE
*
9.1
This option is used to provide boundary impedances or nonreflecting boundaries for acoustic and coupled
acoustic-structural analyses.
Products: ABAQUS/Standard ABAQUS/Explicit
Typ e: History data
Level: Step
References:
“Acoustic, shock, and coupled acoustic-structural analysis,” Section 6.9.1 of the ABAQUS Analysis
•
User’s Manual
“Acoustic loads,” Section 27.4.5 of the ABAQUS Analysis User’s Manual
•
• *
• *
Required, mutually exclusive parameters:
PROPERTY
IMPEDANCE: Define impedances for acoustic analysis.
*
IMPEDANCE PROPERTY
SIMPEDANCE
Set this parameter equal to the name of the*IMPEDANCE PROPERTY option defining the table
of impedance values to be used.
NONREFLECTING
Set NONREFLECTING=PLANAR (default) to specify the im pedance corresponding to that of a
normal incidence plane wave.
Set NONREFLECTING=IMPROVED to specify the impedance corresponding to that of
a plane wave at an arbitrary angle of incidence. This parameter can be used only for transient
dynamics.
Set NONREFLECTING=CIRCULAR to specify a radiation condition appropriate for a
circular boundary in two dimensions or a right circular cylinder in three dimensions.
Set NONREFLECTING=SPH ERICAL to specify a radiation condition appropriate for a
spherical boundary.
Set NONREFLECTING=ELLIPTICAL to specify a radiation condition appropriate for an
elliptical boundary in two dimensions or a right elliptical cylinder in three dim ensions.
Set NONR EFLECTING=PROLATE SPHEROIDAL to specify a radiation condition
appropriate for a prolate spheroidal boundary.
9.1–1
IMPEDANCE
*
Optional parameter:
OP
Set OP=MOD (default) to modify existing impedances or to define additional impedances.
Set OP=NEW if all existing impedances applied to the model should be removed. To remove
only selected impedances, use OP=NEW and respecify all impedances that are to be retained.
Data line to define an impedance for PROPERTY, NONREFLECTING=PLANAR, or
NONREFLECTING=IMPROVED:
First (and only) line:
1. Element number or element set label.
2. Surface impedance type label, I n, for impedance on face n.
Data line to define an absorbing boundary impedance for NONREFLECTING=CIRCULAR or
NONREFLECTING=SPHERICAL:
First (and only) line:
1. Element number or element set label.
2. Surface impedance type label, I n, for impedance on face n.
, the radius of the circle or sphere defining the absorbing boundary surface.
3.
Data line to define an absorbing boundary impedance for NONREFLECTING=ELLIPTICAL or
NONREFLECTING=PROLATE SPHEROIDAL:
First (and only) line:
1. Element number or element set label.
2. Surface impedance type label, I n, for impedance on face n.
3. The semimajor axis, a, of the ellipse or prolate spheroid defining the surface. a is 1/2 of the
maximum distance between two points on the ellipse or spheroid, analogous to the radius of a
circle or sphere.
4. The eccentricity,
, of the ellipse or prolate spheroid. The eccentricity is the square root of
one minus the square of the ratio of the se miminor axis, b, to the semimajor axis, a:
.
5. Global X-coordinate of the center of the ellipse or prolate spheroid defining the radiating
surface.
6. Global Y-coordinate of the center of the ellipse or prolate spheroid defining the radiating
surface.
7. Global Z-coordinate of the c enter of the ellipse or prolate spheroid defining the radiating
surface.
9.1–2
IMPEDANCE
*
8. X-component of the direction cosine of the major axis of the ellipse or prolate spheroid defining
the radiating surface. The components of this vector need not be normalized to unit magnitude.
9. Y-component of the direction cosine of the major axis of the ellipse or prolate spheroid defining
the radiating surface.
10. Z-component of the direction cosine of the major axis of the ellipse or prolate spheroid defining
the radiating surface.
9.1–3
IMPEDANCE PROPERTY
*
9.2
This option is used to define the proportionality factors between the pressure and the normal components of
surface displacement and velocity in acoustic analysis. The*IMPEDANCE PROPERTY option must be used
in conjunction with the*IMPEDANCE or*SIMPEDANCE option.
Products: ABAQUS/Standard ABAQUS/Explicit
Typ e: Model data
Level: Model
References:
“Acoustic loads,” Section 27.4.5 of the ABAQUS Analysis User’s Manual
•
• *
• *
Required parameter:
IMPEDANCE PROPERTY: Define the impedance parameters for an acoustic medium
*
boundary.
IMPEDANCE
SIMPEDANCE
NAME
Set this param eter equal to a label that will be used to refer to the impedance property on the
IMPEDANCE or*SIMPEDANCE option.
*
Optional parameters:
DATA
Set DATA=ADMITTANCE (default) to specify an impedance using a table of admittance values.
Set DATA=IMPEDANCE to specify an impedance using a table of real and imaginary parts
of the impedance.
INPUT
Set this parameter equal to the name of the alternate input file containing the data lines for this
option. See “Input syntax rules,” Section 1.2.1 of the ABAQUS Analysis User’s Manual, for the
syntax of such file names. If this parameter is omitted, it is assumed that the data follow the keyword
line.
9.2–1
IMPEDANCE PROPERTY
*
Data lines to define an impedance using DATA=ADMITTANCE (default):
First line:
1., the proportionality factor between pressure and displacement of the surface in the normal
direction. This quantity is the imaginary part of the complex admittance, divided by the angular
frequency; see “Acoustic loads,” Section 27.4.5 of the ABAQUS Analysis User’s Manual.
(Units of F
2.
direction. This quantity is the real part of the complex admittance. (Units of F
−1L3
.)
, the proportionality factor between pressure and velocity of the surface in the normal
−1L3T−1
.)
3. Frequency. (Cycles/time.) Frequency dependence is active only during frequency domain
analysis in ABAQUS/Standard.
Repeat this data line as often as necessary in ABAQUS/Standard to describe the variation of the
coefficients w ith frequency. Only the first line entered will be used in direct-integration procedures.
Data lines to define an impedance using DATA=IMPEDANCE:
First line:
1., the real part of the surface im pedance. (Units of F L−3T.)
2.
, the imaginary part of the surface impedance. (Units of F L−3T.)
3. Frequency. (Cycles/time.) Frequency dependence is active only during frequency domain
analysis in ABAQUS/Standard.
Repeat this data line as often as necessary in ABAQUS/Standard to describe the variation of the
coefficients w ith frequency. Only the first line entered will be used in direct-integration procedures.
9.2–2
IMPERFECTION
*
9.3
This option is used to introduce a geometric imperfection into a model for a postbuckling analysis.
Products: ABAQUS/Standard ABAQUS/Explicit
Typ e: Model data
Level: Model
References:
“Introducing a geometric imperfection into a model,” Section 11.3.1 of the ABAQUS Analysis User’s
•
Manual
“Unstable collapse and postbuckling analysis,” Section 6.2.4 of the ABAQUS Analysis User’s Manual
•
“Eigenvalue buckling prediction,” Section 6.2.3 of the ABAQUS Analysis User’s Manual
•
Optional parameters (mutually exclusive-if neither parameter is specified, ABAQUS assumes
that the imperfection data will be entered directly on the data lines):
FILE
IMPERFECTION: Introduce geometric imperfections for postbuckling analysis.
*
Set this param eter equal to the nam e of the results file from a previous ABAQUS/Standard analysis
containing either the mode shapes from a*BUCKLE or*FREQUENCY analysis or the nodal
displacements from a*STATIC analysis.
INPUT
Set this parameter equal to the name of the alternate input file containing the imperfection data, in
general, as the node number and imperfection values in the global coordinate system. See “Input
syntax rules,” Section 1.2.1 of the ABAQUS Analysis User’s Manual, for the syntax of such file
names.
Required parameter if the FILE parameter is used:
STEP
Set this parameter equal to the step number (in the analysis whose results file is being used as input
to this option) from which the modal or displacement data are to be read.
Optional parameters if the FILE parameter is used:
INC
Set this parameter equal to the increm ent number (in the analysis whose results file is being used as
input to this option) from which the displacement data are to be read. If this parameter is omitted,
ABAQUS will read the data from the last increment available for the specified step on the results
file.
9.3–1
IMPERFECTION
*
NSET
Set this parameter equal to the node set to which the geometric imperfection values are to be applied.
If this parameter is omitt ed, the imperfection will be applied to all nodes in the model.
Optional parameter if the FILE parameter is omitted:
SYSTEM
Set SYSTEM=R (default) to specify the imperfection as perturbation values of Cartesian
coordinates. Set SYSTEM=C to specify the imperfection as perturbation values of cylindrical
coordinates. Set SYSTEM=S to specify the imperfection as perturbation values of spherical
coordinates. See Figure 9.3–1.
The SYSTEM parameter is entirely local to this option and should not be confused with the
SYSTEM option. As the data lines are read, the imperfection values specified are transformed
*
to the global rectangular Cartesian coordinate system. This transformation requires that the object
be centered about the origin of the global coordinate system; i.e., the*SYSTEM option should
be off when specifying imperfections as perturbation values using either cylindrical or spherical
coordinates.
Data lines to define the imperfection as a linear superposition of mode shapes from the results
file:
First line:
1. Mode number.
2. Scaling factor for this mode.
Repeat this data line as often as necessary to define the imperfection as a linear combination of mode
shapes.
Data line to define the imperfection based on the solution o f a static analysis from the results file:
First (and only) line:
1. Set to 1.
2. Scaling factor.
Data lines to define the imperfection if the FILE and INPUT parameters are omitted:
First line:
1. Node number.
2. Component of imperfection in the first coordinate direction.
3. Component of imperfection in the second coordinate direction.
4. Component of imperfection in the third coordinate direction.
Repeat this data line as often as necessary to define the imperfection.
9.3–2
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