Directed energy deposition compliant fixtures and build table assemblies including the same

An additive manufacturing system for producing a component, the additive manufacturing system comprising:

• a platform;
• a build table assembly provided on the platform and rotatable relative to the platform about a vertical axis of the build table assembly, the build table assembly comprising:
• a base having an upper surface;
• a frame extending from the upper surface of the base, the frame defining an upper wall;
• a rim formed on the upper wall of the frame;
• and
• a plurality of fixture segments positioned on the rim opposite the upper wall of the frame, the plurality of fixture segments defining an arcuate build surface on which the component is built, the plurality of fixture segments spaced apart from one another;
• and
• a deposition assembly having a deposition head through which melted feedstock material is deposited onto the plurality of fixture segments.

A build table assembly for supporting a component, the build table assembly comprising:

• a frame;
• and
• a plurality of fixture segments provided on the frame, the plurality of fixture segments defining an arcuate build surface on which the component is built, the plurality of fixture segments spaced apart from one another,
• wherein a ratio of stresses between the component and the plurality of fixture segments is less than 1.0 and defined by:
• R
• s
• =
• ∮
• F
• S_p
• /
• (
• ∮
• F
• min
• ⁡
• (
• YS
• fixture
• )
• +
• ∑
• N
• (
• YS
• fastener
• +
• YS
• upper
• ⁢
• _
• ⁢
• nut
• )
• )
• where S_p represents the stress accumulated in a tangential portion of the component, YSfixture represents a yield stress of the fixture segments, YSfastener represents a yield stress of the plurality of fasteners, and YSupper_nut represents a yield stress of an upper nut.