Let me get this straight, you want to take energy going into the rod/conrod and convert it into spring/mechanical energy because you think it can be engineered in a way to delay the energy's transfer to a more opportune moment in time called peak compression?
This sounds like an attempt to mechanically augment the octane of the fuel. That is to say to control/predict the "kick". That little snap in the end of an ankle which gives some double jointed swimmers an advantage.
I do not think you will get your "kick" in this way because you can cannot destroy or create energy, you can only convert it. You are converting energy in this case from motion via fuel combustion into spring compression, there will be energy losses in the conversion (typically heat).
You want to get more mechanical energy out of the engine, heat is lost energy. You do not need more heat.
What your time might be better spent pondering is why fuel energy is spent only on the down-stroke and not the upstroke of the piston. If you ever put toe clips on your bicycle you know what I'm talking about.
There are experimental engine designs which deal with this issue, some are round, some are flat/horizontally opposed, look them up.
I'm curious why this topic is in the Aerodynamic section of the forum. Maybe you can answer that first.
In short, I think you have created more problems than you have answered, making you a better philosopher than an engineer. I'm just an architect, so take it all with a grain of salt.
EDIT: Heat caused from mechanical braking (friction/brake pads) is replaced in electric cars and hybrids with regenerative braking. This is your clue, salvage all the wasted heat in your system. Where there is heat, there is wasted energy - look at the incandescent light bulb for example.
If you had an engine which created no waste heat, it would be 100% fuel efficient.
Maybe make your engine block into a Seebeck generator?
https://en.wikipedia.org/wiki/Thermoelectric_generator
Quote:
A thermoelectric generator (TEG), also called a Seebeck generator, is a solid state device that converts heat (temperature differences) directly into electrical energy through a phenomenon called the Seebeck effect (a form of thermoelectric effect). Thermoelectric generators function like heat engines, but are less bulky and have no moving parts. However, TEGs are typically more expensive and less efficient.[1]
Thermoelectric generators could be used in power plants in order to convert waste heat into additional electrical power and in automobiles as automotive thermoelectric generators (ATGs) to increase fuel efficiency. Another application is radioisotope thermoelectric generators which are used in space probes, which has the same mechanism but use radioisotopes to generate the required heat difference.[1]
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https://en.wikipedia.org/wiki/Thermoelectric_generator
I'm guessing you could eliminate your cooling system or at least go air cooled.