DWG Export Issue

Demands upon the graphics subsystem tend to increase with every new (faster) version of SU.
Updating the graphics driver may (usually) resolve the problem.

Turning off OpenGL Hardware Acceleration, as Anssi recommended, takes the GPU out of the loop.
Perhaps try that first and let us know if it resolves the problem in SU 2014.

Resources

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Graphics Issues — SketchUp Sage Site

-Geo