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If the acceleration is in the Y-direction, then you can simply apply ACEL,,# in an axisymmetric analysis. If the acceleration is in X or Z, you would need to use Plane25, the Axisymmetric-Harmonic 4-Node Structural Solid. The ACEL command is used with the MODE command. Verification Manual Problem #43 shows a similar problem. Subject to the restrictions of Plane25, you can then superimpose these results onto your Plane42 model. See the Plane25 Assumptions and Restrictions, specifically that: "The element assumes a linear elastic material. Post-analysis superposition of results is valid only with other linear elastic solutions. The element should not be used with the large deflection option."
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