That shifting issue usally comes down to shear strength and surface preparation, especally when working with dense, oily woods like walnut. Thin epoxy fills the gap nicely, but it often lacks the structural rigidity needed to hold rigid metal pieces against the constant tension and subtle movements in the wood grain. You want something that acts more like a structural adhesive than a filler.
I've seen this happen with brass and walnut many times. What you need is a high-build, two-part marine-grade epoxy or a specialized structural resin. These materials cure much harder and provide significantly better shear resistance than the standard art epoxies. Before applying any adhesive, you absolutely must clean the brass inlay with isopropyl alcohol to remove any oils or polishing residue, then slightly scuff the surrounding wood with fine grit sandpaper. This ensures maximum contact and grip.
Once the surface is prepped, apply a generous bead of the structural resin, making sure it completly flows into the rebate around the metal. Don't just rely on capillary action. After filling the gap, you need to clamp or weight the entire platter while the adhesive cures. This physical pressure is critical for overcoming the internal stresses and ensuring the inlay is locked in place before the material sets. For a large, heavy platter, temporary supports are a must.
Don't rush the cure time. Even if the adhesive feels dry, it's not fully cured yet. Let it sit for the manufacturer's full recommended period, usually 24 to 48 hours, before touching it or attempting any finishing. That slow, complete cure is what guarantees those crisp edges won't shift later on.