Sinusoidal excitation of a damped spring-mass system

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

ProductsAbaqus/StandardAbaqus/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. 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. Connection types for sinusoidal excitation verification analyses.
Connection TypeDegrees of Freedom AffectedDimensions
AXIAL Translational Basic 2D, 3D, Axisymmetric
CARTESIAN Translational Basic 2D, 3D, Axisymmetric
PROJECTION CARTESIAN Translational Basic 3D
RADIAL-THRUST Translational Basic 3D
SLIDE-PLANE Translational Basic 3D
SLOT Translational Basic 2D, 3D, Axisymmetric
CARDAN Rotational Basic 3D
EULER Rotational Basic 3D
FLEXION-TORSION Rotational Basic 3D
PROJECTION FLEXION-TORSION Rotational Basic 3D
REVOLUTE Rotational Basic 3D
ROTATION Rotational Basic 2D, 3D, Axisymmetric
UNIVERSAL Rotational Basic 3D
AXIAL/EULER Combination 3D
CARTESIAN/CARDAN Combination 3D
CARTESIAN/ ROTATION Combination 3D
JOIN/ FLEXION-TORSION Combination 3D
LINK/UNIVERSAL Combination 3D
RADIAL-THRUST/ CONSTANT VELOCITY Combination 3D
SLIDE-PLANE/REVOLUTE Combination 3D
SLOT/ALIGN Combination 3D
PROJECTION CARTESIAN/PROJECTION FLEXION-TORSION Combination 3D

Model:

Connector load for relative translations 4.8
Connector load for relative rotations 48.0

Material:

Translational spring stiffness 48.0
Translational damping coefficient 5.0
Mass 12.0
Torsional spring stiffness 480.0
Torsional damping coefficient 50.0
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.

conn_std_force_bushing.inp

Bushing element.

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.