Coriolis loading for direct-solution steady-state dynamic analysis

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

This page discusses:

ProductsAbaqus/Standard

Elements tested

  • T2D2
  • T2D3
  • T3D2
  • T3D3
  • CPE3
  • CPS3
  • CPE4
  • CPS4
  • CPE6
  • CPS6
  • CPE6M
  • CPS6M
  • CPE8
  • CPS8
  • CPEG3
  • CPEG4
  • CPEG6
  • CPEG8
  • C3D4
  • C3D5
  • 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 direct-solution steady-state dynamic procedure 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 dynamic 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 models 1
Area 1
Planar dimensions for two-dimensional solids 1 × 1
Thickness 1
Cubic dimensions for three-dimensional solids 1 × 1 × 1
Young's modulus 1000.0
Poisson's ratio 0.3
Density 1.0
Damping αr=1.0, βr=0.0
Coriolis loading 1.0
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.

ec35sfdc.inp

C3D5 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.