In ABAQUS, the damping ratio is typically applied globally to all degrees of freedom. However, if you want to apply different damping ratios in the vertical and horizontal directions, you can achieve this by defining separate damping matrices for each direction. This approach allows you to customize the damping behavior for different degrees of freedom. Here's a general outline of the steps you can follow: 1.Define Damping Matrices:

Create separate damping matrices for the vertical and horizontal directions.

2. Define Orientation Matrix:

Create an orientation matrix `[T]` that transforms the global damping matrices to the local coordinate system. This matrix is used to rotate the damping matrices into the desired directions. 3. Define Damping in the Step Module:

In the Step module of your analysis, define the damping matrices using the `DAMPING` option. 4. Define Orientation Matrix in Preprocessing:

Define the orientation matrix `[T]` in the preprocessing stage to specify the orientation of the damping matrices.

Replace `[ux, uy, uz]` and `[vx, vy, vz]` with the direction vectors for the vertical and horizontal directions, respectively. The above example assumes a 3D problem. Adjust the dimensionality and vectors accordingly for 2D or axisymmetric models. Remember that this is a general guideline, and you may need to adjust the details based on your specific model and requirements. Always refer to the ABAQUS documentation for the version you are using for the most accurate and up-to-date information.

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