Am I correct in assuming that your model has nonlinear conditions?
If your system is linear, you can separate your operating analysis from your transient event. The operating case can have the snubber inactive in the operating case and active in the transient case. A check box in the load case editor provides this switch.
But things get more complicated if you have a nonlinear model and wish to build a single load case to represent the transient event while the system is in operation. And, yes, when not modeling the equipment on the other end of that snubber, the model trick is to include operating displacements on that CNode which locates the snubber in the operating position.
Here's another (untested) trick: Use a cut element (material #18 or #19) to strain the CNode to the proper operating position for this transient analysis. I would put it in with the rigid element from the vessel centerline to wall. The load case for operating plus transient would be the only load case than includes this "CS" load component. If you give this a try, CHECK YOUR RESULTS,, closely.
Let us know what happens...
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Dave Diehl