1.9.2 Sinusoidal excitation of a damped spring-mass system

Products: ABAQUS/Standard  ABAQUS/Explicit  

Elements tested

CONN2D2    CONN3D2   

Problem description

Translational and rotational basic connector components as well as translational-rotational combination connections are tested for sinusoidal excitation of a damped spring-mass connector system. A series of simple, 2-node connector elements simulating a damped spring-mass system verify the connections described in Table 1.9.2–1. The kinetic behavior in the connector elements is modeled using the *CONNECTOR ELASTICITY, *CONNECTOR DAMPING, and *CONNECTOR FRICTION options.

In ABAQUS/Standard a *DYNAMIC analysis procedure is employed in conjunction with the *STEP, NLGEOM option. In ABAQUS/Explicit the usual *DYNAMIC, EXPLICIT procedure is used with the default NLGEOM=YES setting. The spring-mass system in each case is driven by using the *CONNECTOR LOAD option.

Table 1.9.2–1 Connection types for sinusoidal excitation verification analyses.

Connection TypeDOFs AffectedDimensions
AXIALTranslational Basic2-D, 3-D, Axisymmetric
CARTESIANTranslational Basic2-D, 3-D, Axisymmetric
PROJECTION CARTESIANTranslational Basic3-D
RADIAL-THRUSTTranslational Basic3-D
SLIDE-PLANETranslational Basic3-D
SLOTTranslational Basic2-D, 3-D, Axisymmetric
CARDANRotational Basic3-D
EULERRotational Basic3-D
FLEXION-TORSIONRotational Basic3-D
PROJECTION FLEXION-TORSIONRotational Basic3-D
REVOLUTERotational Basic3-D
ROTATIONRotational Basic2-D, 3-D, Axisymmetric
UNIVERSALRotational Basic3-D
AXIAL/EULERCombination3-D
CARTESIAN/CARDANCombination3-D
CARTESIAN/ ROTATIONCombination3-D
JOIN/ FLEXION-TORSIONCombination3-D
LINK/UNIVERSALCombination3-D
RADIAL-THRUST/ CONSTANT VELOCITYCombination3-D
SLIDE-PLANE/REVOLUTECombination3-D
SLOT/ALIGNCombination3-D
PROJECTION CARTESIAN/PROJECTION FLEXION-TORSIONCombination3-D

Model:

Connector load for relative translations4.8
Connector load for relative rotations48.0

Material:

Translational spring stiffness48.0
Translational damping coefficient5.0
Mass12.0
Torsional spring stiffness480.0
Torsional damping coefficient50.0
Rotary inertia (isotropic)120.0

Results and discussion

ABAQUS provides the expected solution.

Input files

ABAQUS/Standard input files

conn_std_force_2d.inp

Connection in two dimensions.

conn_std_force_2d_fric.inp

Connection in two dimensions with friction.

conn_std_force_3d.inp

Connection in three dimensions.

conn_std_force_3d_fric.inp

Connection in three dimensions with friction.

conn_std_force_axi.inp

Connection in an axisymmetric model.

conn_std_force_axi_fric.inp

Connection in an axisymmetric model with friction.

ABAQUS/Explicit input files

conn_xpl_force_2d.inp

Connection in two dimensions.

conn_xpl_force_2d_fric.inp

Connection in two dimensions with friction.

conn_xpl_force_3d.inp

Connection in three dimensions.

conn_xpl_force_3d_fric.inp

Connection in three dimensions with friction.

conn_xpl_force_axi.inp

Connection in an axisymmetric model.

conn_xpl_force_axi_fric.inp

Connection in an axisymmetric model with friction.

conn_xpl_force_fric_bushing.inp

Bushing element with friction.