In this paper, we investigate several bonding methods for attaching lateral flexures to the side of a mirror in order to mitigate the potential long-term instability caused by thermal stress. To analyze the behavior of the mirror, bonding, and flexures under different mechanical and thermal loads, we utilize finite element models and examine three key aspects of the flexure bonding: the bonding area, the use of an additional block for bonding, and the choice of flexure material. Our study utilizes the primary mirror of the GEMINI telescope as a sample application and for validation purposes. Through our simulations and analysis, we aim to address various options for the flexure-bonding design and optimization.
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