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Résumé : We prove that the quantum fluctuations of the magnetic degrees of freedom of moiré structures can be tuned by adjusting the moiré lattice. Using the Bistritzer-MacDonald approach, we explore the consequences of this fact for the magnonic vacuum energy and the magnonic Casimir force, which become functions of the moiré pattern parameters. This allows a prototypical engine to be run with the vacuum fluctuations as a working agent and, in that way, to furnish a novel type of magneto-mechanical effect. Our calculations focus on the moiré Ladder as an example but can be generalized to any moiré structure in a straightforward fashion. We anticipate that our results belong to a generic property of moiré structures, regardless of the physical nature of the excitations at hand.