Yes, Matthys does go into the mathematics of the basic stresses (tensile and bending) in the spring from the swing and bob-weight point of view. He also points out that the junctions between spring and support blocks are important for long term stability but in a more qualitative way. That’s understandable though. Under basic bending beam theory, these junctions are considered ‘simple’. In reality they are anything but. These junctions are a myriad of tensions, compressions, stress concentrations and slips, all of which will conspire to cause microscopic wear over time. It’s this that’s the root of the long-term stability issue.
Matthys suggests soldering these joints. Whilst this would undoubtedly help, I don’t feel it’s the best solution. Solder is soft, highly plastic and has no fatigue resistance. So looking under the microscope again, such a junction is still likely to deteriorate.
As I see it, the better thing to do is to try to minimise the stresses at the junctions. The most effective way to do this is add more material at these points. My plan is therefore to make a suspension spring that looks something like the sketch below. I probably need to work on the proportions of the spring a bit, but right now my challenge is to think of a way to make nice good quality cuts in the thin sheet. I suppose might need to encase the spring in plastic or something similar for the machining process and then dissolve it away afterwards.

Gerry