Product: ABAQUS/Standard
B21 B21H B22 B22H B23 B23H B31 B31H B32 B32H B33 B33H
ELBOW31 ELBOW31B ELBOW31C ELBOW32
PIPE21 PIPE21H PIPE22 PIPE22H PIPE31 PIPE31H PIPE32 PIPE32H
RB2D2 RB3D2 R3D3 R3D4
The structural member (beam, pipe, elbow, or truss) is kept straight and constrained, and it is moved to different positions and orientations in different steps; where appropriate, it is given a uniform velocity and acceleration. The structural member is subjected to various drag and buoyancy loads in the different steps. The problems are described in detail in the input files. The *DLOAD and *CLOAD options are tested in these problems. The effective axial force (output variable ESF1) for beam, pipe, and truss elements is also tested.
The features and load types tested in each problem in the various steps are:
Buoyancy, PB.
Normal drag, static, FDD.
Tangential drag, static, FDT.
Normal drag, dynamic, FDD.
Tangential drag, dynamic, FDT.
Inertial drag, FI.
Normal drag, dynamic, partial immersion, FDD.
End-drag, dynamic, FD1, FD2.
End-drag, dynamic, TFD (*CLOAD).
Inertial end-drag, FI1, FI2.
Inertial end-drag, TSI (*CLOAD).
Transition-section buoyancy, TSB.
End-drag, dynamic, (additional test), FD1, FD2.
End-drag, dynamic, (additional test), TFD (*CLOAD).
Wind-drag, dynamic, WDD.
Wind end-drag, dynamic, WD1, WD2.
Wind end-drag, dynamic, TWD (*CLOAD).
The individual steps are named alphabetically as listed above. These names appear in the step headings.
Model: Material:Aqua – environment:
Seabed elevation | 0.0 |
Mean water elevation | 40.0 |
Max. water elevation | 40.0 |
Min. water elevation | 40.0 |
Gravitational constant | 32.2 |
Fluid mass density | 1.987 |
Steady velocity specification: two-dimensional | |
(, elevation) | (2.0, 1.0, 0.0) |
(, elevation) | (2.0, 1.0, 2000.0) |
Steady velocity specification: three-dimensional | |
(, , elevation) | (2.0, 1.0, 0.0) |
(, , elevation) | (2.0, 1.0, 2000.0) |
( = 0.0) |
The correct total force can be determined analytically for the simple case of a straight structural member under drag or buoyancy loads, subjected to a uniform structural velocity or acceleration immersed in water with a constant velocity field. In all cases the reaction force at the beam nodes produced by ABAQUS matches the analytical solution.
The analytically determined results are listed in the headings for each step in the input files.
B21 elements.
B21H elements.
B22 elements.
B22H elements.
B23 elements.
B23H elements.
B31 elements.
B31H elements.
B32 elements.
B32H elements.
B33 elements.
B33H elements.
ELBOW31 elements.
ELBOW31B elements.
ELBOW31C elements.
ELBOW32 elements.
PIPE21 elements.
PIPE21H elements.
PIPE22 elements.
PIPE22H elements.
PIPE31 elements.
PIPE31H elements.
PIPE32 elements.
PIPE32H elements.
RB2D2 elements.
RB3D2 elements.
R3D3 elements.
R3D4 elements.
T2D2 elements.
T2D2H elements.
T2D3 elements.
T2D3H elements.
T3D2 elements.
T3D2H elements.
T3D3 elements.
T3D3H elements.
B21 B21H B22 B22H B23 B23H B31 B31H B32 B32H B33 B33H
ELBOW31C RB2D2 RB3D2
The structural member is positioned vertically in both the two- and three-dimensional cases, such that one-half of the structure is below the seabed and only the top half is subject to fluid loads.
Nodes of each element are constrained to a single node whose reaction force is monitored.
The features and load types tested in each problem in the various steps are:
Static analysis with drag load FDD and no wave loads.
Static analysis: dummy step to zero out the loads.
Dynamic analysis with inertial load FI.
Aqua – environment:
Seabed elevation | 0.0 |
Mean water elevation | 2.0 |
Gravitational constant | 32.2 |
Fluid mass density | 1.99 |
Steady velocity specification: 2-D/3-D | |
(, , , elevation) | (1.0, 0.0, 0.0, 0.0) |
(, , , elevation) | (1.0, 0.0, 0.0, 2.0) |
Airy wave parameters:
B21 elements.
All beam elements.
ELBOW31C elements.
All truss elements.
A box composed of three-dimensional rigid elements is immersed in water subject to a buoyancy load (PB). The buoyancy forces and moments produced are measured by the reaction force at the rigid body reference node in four distinct configurations: in the initial configuration, as well as in the configurations produced when the body is given 60° of heel and then followed by 10° and 20° of trim.
The ABAQUS values for the buoyancy forces match the analytical values exactly. Because analytical values are not readily available at the moment, these values are compared with values produced by an independent code and agree to within one-quarter of 1%. The expected results are listed in the input files.
Frequencies of natural vibration are computed for slender structures with different boundary conditions, with and without the effect of added mass.
Model: Material:Aqua – environment:
The analytically determined results and those given by ABAQUS are listed at the top of each of the input files.
Transverse vibration of simply supported beam.
Transverse vibration of clamped-free cantilever beam.
Longitudinal vibration of clamped-free cantilever beam.
Longitudinal vibration of clamped-free truss.
Vertical structural members, fully submerged and constrained, are subjected to a steady current velocity that is uniform with respect to elevation but varies with position (-coordinate for two-dimensional cases, and - and -coordinate for three-dimensional cases). The drag forces on the individual members can be determined analytically and compared to the nodal reaction forces.
The fluid velocity is equal to 2.8961.
Model: Material:Aqua – environment:
Steady velocity specification: two-dimensional case:
(, , , -coord.) | (, 0.0, 0.0, 100.0) |
(, , , -coord.) | (, 0.0, 0.0, 300.0) |
(, , , -coord.) | (, 0.0, 0.0, 600.0) |
(, , , -coord.) | (, 0.0, 0.0, 900.0) |
Steady velocity specification: three-dimensional case:
(, , , -coord., -coord.) | (, 0.0, 0.0, 100.0, 200.0) |
(, , , -coord., -coord.) | (, 0.0, 0.0, 300.0, 200.0) |
(, , , -coord., -coord.) | (, 0.0, 0.0, 600.0, 200.0) |
(, , , -coord., -coord.) | (, 0.0, 0.0, 900.0, 200.0) |
(, , , -coord., -coord.) | (, 0.0, 0.0, 100.0, 800.0) |
(, , , -coord., -coord.) | (, 0.0, 0.0, 300.0, 800.0) |
(, , , -coord., -coord.) | (, 0.0, 0.0, 600.0, 800.0) |
(, , , -coord., -coord.) | (, 0.0, 0.0, 900.0, 800.0) |
This problem tests the dynamic pressure implementation and closed-end buoyancy loading for the three ABAQUS/Aqua wave options. A vertical pile is fully constrained and subjected to buoyancy loading. The Airy, Stokes, and gridded wave options are used to calculate the total reaction force on the structure during a *DYNAMIC procedure. Distributed load type PB is used with a 50-element model, and concentrated load type TSB is used with a one-element model.
Model:Height of the structure | 175.0 (100.0 below and 75.0 above mean water elevation) |
Pipe section data | = 1.0, = 0.25 |
Aqua – environment:
The results agree well with the analytically determined peak total reaction force.
Airy waves, PIPE31 elements.
Stokes waves, PIPE22 elements.
Gridded wave data with linear interpolation, PIPE31 elements.
Gridded wave data with quadratic interpolation, PIPE22 elements.
This problem illustrates the creation of the gridded wave file. The unformatted binary gridded wave files used in Dynamic pressure, closed-end buoyancy loads” in “Aqua load cases, Section 3.10.1” (ep32pxx3.inp and ep23pxx3.inp) are created from ASCII format files containing the gridded wave data using a FORTRAN program.
The files gridwave_3d.binary and gridwave_2d.binary are created for use in Dynamic pressure, closed-end buoyancy loads” in “Aqua load cases, Section 3.10.1.”
ASCII format file containing two-dimensional gridded wave data.
ASCII format file containing three-dimensional gridded wave data.
FORTRAN program to convert the two-dimensional ASCII data file to a binary gridded wave file.
FORTRAN program to convert the three-dimensional ASCII data file to a binary gridded wave file.
This problem tests the implementation of the effective axial force output quantity ESF1. Coincident, one-element, vertical piles are partially submerged in a Stokes wave field such that the element integration points change between unsubmerged and submerged conditions during the analysis. The piles are fully constrained and subjected to distributed load type PB including internal fluid pressure. One pile is completely filled with internal fluid (Case A), and one is partially filled with internal fluid such that the element integration point is above the internal fluid free surface elevation (Case B). To test the *AMPLITUDE option, an amplitude variation is added to the *DLOAD option in Cases A and B to produce, respectively, Cases C and D. Cases A and C use PIPE21 elements, and Cases B and D use B21 elements with *BEAM GENERAL SECTION to define the element properties. With the results from this analysis, the effective axial force output is tested using the *POST OUTPUT option.
The effective axial force, ESF1, agrees with the analytical results for each case. The results are documented at the top of the xesf1gen.inp input file.
Input file for this analysis.
Input file that tests the *POST OUTPUT option.
This problem tests loading types PB and TSB when the fluid properties are prescribed as part of the loading. The *BEAM GENERAL SECTION option is used to describe the section properties.