3.8.8 Acoustic model change: steady state

Product: ABAQUS/Standard  

Elements tested

AC1D2    AC1D3   

AC2D3    AC2D4    AC2D6    AC2D8   

AC3D4    AC3D6    AC3D8    AC3D10    AC3D15    AC3D20   

ACAX3    ACAX4    ACAX6    ACAX8   

ACINAX2    ACINAX3    ACIN2D2    ACIN2D3    ACIN3D3    ACIN3D4    ACIN3D6    ACIN3D6   

Features tested

The *MODEL CHANGE capability is applied to remove continuum acoustic elements during a steady-state acoustic analysis.

Problem description

Model:

The models have dimensions 10.0 × 1.0 in the plane, with an out-of-plane dimension of 1.0.

Material:

Bulk modulus, 1.42176 × 105
Density, 1.293

Loading and boundary conditions:

The pressure at the left side of the model is constrained to equal one; there is a plane-wave radiation condition on the right side of the model. A steady-state solution at unit frequency is obtained. Then, one-half of the model is removed. When the elements are removed, the radiation condition is applied along the new external boundary.

Reference solution

The one-dimensional Helmholtz equation for steady-state acoustics is

where is the acoustic wave number. Using the boundary conditions that at and that at , the solution for the continuum model is

while the phase is consistent with a sine wave at the specified frequency, 1 Hertz.

Results and discussion

The model gives the theoretical results in both the first and second steps.

Input files

pmcp_ac1d2.inp

General test of AC1D2 elements in steady-state analysis.

pmcp_ac1d3.inp

AC1D3 elements.

pmcp_ac2d3.inp

AC2D3 elements.

pmcp_ac2d4.inp

AC2D4 elements.

pmcp_ac2d6.inp

AC2D6 elements.

pmcp_ac2d8.inp

AC2D8 elements.

pmcp_ac3d4.inp

AC3D4 elements.

pmcp_ac3d6.inp

AC3D6 elements.

pmcp_ac3d8.inp

AC3D8 elements.

pmcp_ac3d10.inp

AC3D10 elements.

pmcp_ac3d15.inp

AC3D15 elements.

pmcp_ac3d20.inp

AC3D20 elements.

pmcp_acax3.inp

ACAX3 elements.

pmcp_acax4.inp

ACAX4 elements.

pmcp_acax6.inp

ACAX6 elements.

pmcp_acax8.inp

ACAX8 elements.

pmcp_acinax2.inp

ACINAX2 elements.

pmcp_acinax3.inp

ACINAX3 elements.

pmcp_acin2d2.inp

ACIN2D2 elements.

pmcp_acin2d3.inp

ACIN2D3 elements.

pmcp_acin3d3.inp

ACIN3D3 elements.

pmcp_acin3d4.inp

ACIN3D4 elements.

pmcp_acin3d6.inp

ACIN3D6 elements.

pmcp_acin3d8.inp

ACIN3D8 elements.