Can you recommend any free-piston heat (Stirling, Ericsson) engine design manual or blueprints?

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Hamit Can

https://ifisc.uib-csic.es/users/raul/CURSOS/TERMO/Stirling%20engine.pdf

https://ir.canterbury.ac.nz/bitstream/handle/10092/2916/thesis_fulltext.pdf;sequence=1

Tarek El-Zafarany

I think Abu-Zhara's new solar engine design can benifit you! search for him, Eslam abu-zahra from helwan uni.

Alejandro Macario-Rojas

A free-piston Stirling engine design: https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19920022001.pdf