1.3.46 Coriolis loading for direct-solution steady-state dynamic analysis

Product: ABAQUS/Standard  

Elements tested

T2D2    T2D3    T3D2    T3D3   

CPE3    CPS3    CPE4    CPS4    CPE6    CPS6    CPE6M    CPS6M    CPE8    CPS8   

CPEG3    CPEG4    CPEG6    CPEG8   

C3D4    C3D6    C3D8    C3D10    C3D10M    C3D15    C3D20    C3D27   

Problem description

The effect of Coriolis loading in a direct-solution steady-state dynamics analysis is verified. A four-step *STEADY STATE DYNAMICS, DIRECT analysis is performed on a unit length rod for trusses, on a unit square plate for two-dimensional solids, and on a unit cube for three-dimensional solids. Two elements are used for the triangular and prism element shapes, five elements are used for the tetrahedral element shapes, and one element is used for all other element shapes. The elements are constrained at all nodes and displaced in one degree of freedom: degree of freedom 1 in Steps 1 and 2 and degree of freedom 2 in Steps 3 and 4. Coriolis loading is activated in Steps 2 and 4, and the resulting additional reaction forces and phase shifts are verified by comparing them to analytical values. One representative element type is tested for all solid and truss element classes that can be used in *STEADY STATE DYNAMICS analyses and that support Coriolis loading. The use of this feature with submodeling is verified by performing a global and a submodel analysis with CPE4 elements.

Material:

Length for truss models1
Area1
Planar dimensions for two-dimensional solids1 × 1
Thickness1
Cubic dimensions for three-dimensional solids1 × 1 × 1
Young's modulus1000.0
Poisson's ratio0.3
Density1.0
Damping=1.0, =0.0
Coriolis loading1.0
Coriolis axis of rotation(0, 0, 1) through point (0.5, –10, 0)

Results and discussion

The reaction forces and the phase angle shifts due to the Coriolis loading match the analytical results for all of the elements that are tested.

Input files

ece4sfdg.inp

CPE4 elements, global model.

ece4sfds.inp

CPE4 elements, submodel.

et22sfdc.inp

T2D2 elements.

et23sfdc.inp

T2D3 elements.

et32sfdc.inp

T3D2 elements.

et33sfdc.inp

T3D3 elements.

ece3sfdc.inp

CPE3 elements.

ecs3sfdc.inp

CPS3 elements.

ece4sfdc.inp

CPE4 elements.

ecs4sfdc.inp

CPS4 elements.

ece6sfdc.inp

CPE6 elements.

ecs6sfdc.inp

CPS6 elements.

ece6smdc.inp

CPE6M elements.

ecs6smdc.inp

CPS6M elements.

ece8sfdc.inp

CPE8 elements.

ecs8sfdc.inp

CPS8 elements.

ecg3sfdc.inp

CPEG3 elements.

ecg4sfdc.inp

CPEG4 elements.

ecg6sfdc.inp

CPEG6 elements.

ecg8sfdc.inp

CPEG8 elements.

ec34sfdc.inp

C3D4 elements.

ec36sfdc.inp

C3D6 elements.

ec38sfdc.inp

C3D8 elements.

ec3asfdc.inp

C3D10 elements.

ec3asmdc.inp

C3D10M elements.

ec3fsfdc.inp

C3D15 elements.

ec3ksfdc.inp

C3D20 elements.

ec3rsfdc.inp

C3D27 elements.