You'll likely need to break up your pattern to exclude the "bulb" end that is the one that is changing.
In other words, you select two lines and the consant arc, patterning those in whatever fashion you choose.
After that, you'll need to make individual arcs that are custom to each set of parallel lines.
Fortunately, to do what I've described over the course of 11 to 22 times, is quicker than typing out the reply.
When you're copying objects into a pattern, whether they be circular, rectangular or mirrored, the subsequent objects are dependent on the state of the original and therefore change their attributes to match the parent object, feature or line.
If yours has to have an ever-changing feature, I don't believe that it would be condusive to using the patterned or copy feature to its fullest extent.
Perhaps someone else can tell me I'm full of it and we'll both learn something.
