3.2.3 Steady-state dynamic analysis for infinite elements

Product: ABAQUS/Standard

Elements tested

CIN3D8 CIN3D12R CIN3D18R CINAX4 CINAX5R CINPE4 CINPE5R CINPS4 CINPS5R

Feature tested

Direct-solution steady-state dynamic analysis of infinite elements.

Problem description

The model consists of a single infinite element connected to one regular continuum finite element. The model is subjected to a plane wave and a shear wave. The results from this analysis are compared with a reference solution obtained from a model in which the infinite element is replaced by dashpots attached to the regular continuum element at points A and B. The damping coefficient corresponding to a plane wave, , is computed as , where is the plane wave speed. Similarly, the damping coefficient corresponding to a shear wave, , is computed as , where is the shear wave speed.

Material:

Young's modulus = 1.0, Poisson's ratio = 0.1, density = 0.01.

Boundary conditions:

Plane wave: = 1.0 × 10^–4 along edge CD, = 0 throughout the model.

Shear wave: = 1.0 × 10^–4 along edge CD, = 0 throughout the model.

Results and discussion

The results are confirmed by comparing them to a direct-solution steady-state dynamic analysis of the model in which the infinite elements are replaced by dashpots. The displacements and phase angles match the reference solution in all cases.