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 behaviors.

In Abaqus/Standard a direct-integration implicit dynamic step is used with a small- or large-displacement formulation. In Abaqus/Explicit the usual explicit dynamic procedure is used with the default large-displacement formulation. The spring-mass system in each case is driven by assigning a connector element load.

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

Connection TypeDegrees of Freedom AffectedDimensions
AXIALTranslational Basic2D, 3D, Axisymmetric
CARTESIANTranslational Basic2D, 3D, Axisymmetric
PROJECTION CARTESIANTranslational Basic3D
RADIAL-THRUSTTranslational Basic3D
SLIDE-PLANETranslational Basic3D
SLOTTranslational Basic2D, 3D, Axisymmetric
CARDANRotational Basic3D
EULERRotational Basic3D
FLEXION-TORSIONRotational Basic3D
PROJECTION FLEXION-TORSIONRotational Basic3D
REVOLUTERotational Basic3D
ROTATIONRotational Basic2D, 3D, Axisymmetric
UNIVERSALRotational Basic3D
AXIAL/EULERCombination3D
CARTESIAN/CARDANCombination3D
CARTESIAN/ ROTATIONCombination3D
JOIN/ FLEXION-TORSIONCombination3D
LINK/UNIVERSALCombination3D
RADIAL-THRUST/ CONSTANT VELOCITYCombination3D
SLIDE-PLANE/REVOLUTECombination3D
SLOT/ALIGNCombination3D
PROJECTION CARTESIAN/PROJECTION FLEXION-TORSIONCombination3D

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.