Zener diode characteristic graph
The first thing is to draw your schematic in a way that is easily understood.

Use you common signal at the lower part of the schematic (all your voltages will be referenced to it) and put any components in the upper part of the circuit. In this case you should put the diode in the lead from the positive output of the voltage source.

Wit your current arrangement I don't know where the signal is referenced to - voltages are always one point relative to another.

Also you ALWAYS need a resistor or similar current limiting device in series with a zener to determine how much current flows when you present it with more voltage than the zener breakdown.  R1 should be in series with D1 (and D1 is not really necessary, you could replace it with a short circuit).

In a simulation voltage sources are perfect and have zero series resistance.  IN your simulation when the voltage exceeds the breakdown of the zener a large current will flow but the voltage source will not be affected.